3.15 Adaptive multi rate speech channel at 8-PSK half rate (O-TCH/AHS)

3GPP45.003GSM/EDGE Channel codingRelease 17TS

Tools: ARFCN - Frequency Conversion for 5G NR/LTE/UMTS/GSM

This section describes the coding for the different frame formats used for O-TCH/AHS. The formats used are (in the order they are described):

SID_UPDATE Used to convey comfort noise parameters during DTX

SID_UPDATE_INH Used to inhibit the second part of a SID_UPDATE frame if there is a speech onset

SID_FIRST_P1 First part of marker to define end of speech, start of DTX

SID_FIRST_P2 Second part of marker to define end of speech, start of DTX

SID_FIRST_INH Used to inhibit the second part of a SID_FIRST_P1 frame if there is a speech onset

ONSET Used to signal the Codec mode for the first speech frame after DTX

SPEECH Speech frames

RATSCCH_MARKER Marker to identify RATSCCH frames

RATSCCH_DATA Frame that conveys the actual RATSCCH message

In this chapter, sub chapters 3.15.1 to 3.15.9 describe the channel coding for the different formats listed above.

Common to all the formats is that in-band information is conveyed, the coding for the in-band channel is described in the table below.

Identifier (defined in 3GPP 45.009)	Received in-band data id(1), id(0)	Encoded in-band data for SID and RATSCCH frames ic(15),.., ic(0)	Encoded in-band data for speech frames ic(11),.., ic(0)
CODEC_MODE_1	00	0101001100001111	000000000000
CODEC_MODE_2	01	0011111010111000	110110101110
CODEC_MODE_3	10	1000100001100011	101101110101
CODEC_MODE_4	11	1110010111010100	011011011011

3.15.1 SID_UPDATE

The speech encoder delivers 35 bits of comfort noise parameters. Also delivered is two in-band channels, id0(0,1) and id1(0,1), id0 corresponding to Mode Commands/Mode Requests and id1 to Mode Indication. The general coding is as: the two in-band data channels are coded to 16 bits each, a 14-bit CRC is added to the 35 CN bits which are then coded by a rate ¼ RSC coder to 212 bits. A 212 bit identification field is added thereby giving a total size of 456 bits. Finally each bit is repeated 3 times and then converted into 3-bit symbols giving a total size of 456 symbols. These 456 symbols are block interleaved over 4 bursts.

3.15.1.1 Coding of in-band data

The coding of in-band data is done as specified for the SID_UPDATE frame at half rate in subclause 3.10.1.1.

3.15.1.2 Parity and convolutional encoding for the comfort noise parameters

The parity and convolutional encoding for the comfort noise parameters are done as specified for the SID_UPDATE frame at half rate in subclause 3.10.1.2.

3.15.1.3 Identification marker

The identification marker is constructed as specified for the SID_UPDATE frame at half rate in subclause 3.10.1.3.

3.15.1.4 Repetition

The coded bits (c) are repeated according to the following rule:

c'(3k+2) = c'(3k+1) = c'(3k) = c(k) for k=0,…,455

3.15.1.5 Interleaving

Before interleaving the coded bits {c'(0) … c'(1367)} are converted into 3-bit symbols {C(0) … C(455)} according to table 1 in 3GPP TS 45.004, the symbol C(k) depends on c'(3k+2), c'(3k+1) and c'(3k) for k=0,1,…,455.

The interleaving is done as specified for the SID_UPDATE frame at half rate in subclause 3.10.1.4. The difference is that the interleaving is done by symbols instead of single bits, reusing the existing interleaving tables.

3.15.1.6 Mapping on a Burst

The mapping is done as specified for the SID_UPDATE frame at half rate in subclause 3.10.1.5 with exception that it is done by symbols instead of single bits.

3.15.2 SID_UPDATE_INH

This special frame is used when the first 2 burst of a SID_UPDATE frame have been transmitted but the second two bursts cannot be transmitted due to a speech frame. The general coding is as: the in-band data (Note that this must be the same Mode Indication bits as id1(0,1) for the SID_UPDATE frame that is being inhibited) is encoded, a marker that is the opposite of the SID_UPDATE marker is appended and the data is interleaved in such a way that the odd symbols of two bursts are filled.

3.15.2.1 Coding of in-band data

The coding of in-band data is done as specified for the SID_UPDATE_INH frame at half rate in subclause 3.10.2.1.

3.15.2.2 Identification marker

The identification marker is constructed as specified for the SID_UPDATE_INH frame at half rate in subclause 3.10.2.2.

3.15.2.3 Repetition

The coded bits (c) are repeated according to the following rule:

c'(3k+2) = c'(3k+1) = c'(3k) = c(k) for k=0,…,227

3.15.2.4 Interleaving

Before interleaving the coded bits {c'(0) … c'(683)} are converted into 3-bit symbols {C(0) … C(227)} according to table 1 in 3GPP TS 45.004, the symbol C(k) depends on c'(3k+2), c'(3k+1) and c'(3k) for k=0,1,…,227.

The interleaving is done as specified for the SID_UPDATE_INH frame at half rate in subclause 3.10.2.3. The difference is that the interleaving is done by symbols instead of single bits, reusing the existing interleaving tables. The result of the interleaving is a distribution of 114 of the reordered 228 symbols of a given data block over 2 blocks using the odd numbered bits. The even numbered symbols of these 2 blocks will be filled by the speech frame that following immediately after this frame.

3.15.2.5 Mapping on a Burst

The mapping is done as specified for the SID_UPDATE_INH frame at half rate in subclause 3.10.2.4 with exception that it is done by symbols instead of single bits.

3.15.3 SID_FIRST_P1

This frame type contains no source data from the speech coder. What is generated is the in-band channel and an identification marker. The in-band data id(0,1) represents Mode Indication or Mode Command/Mode Request depending on the current frame number.

3.15.3.1 Coding of in-band data

The coding of in-band data is done as specified for the SID_FIRST_P1 frame at half rate in subclause 3.10.3.1.

3.15.3.2 Identification marker

The identification marker is constructed as specified for the SID_FIRST_P1 frame at half rate in subclause 3.10.3.2.

3.15.3.3 Repetition

The coded bits (c) are repeated according to the following rule:

c'(3k+2) = c'(3k+1) = c'(3k) = c(k) for k=0,…,227

3.15.3.4 Interleaving

The interleaving is done as specified for the TCH/HS in subclause 3.2.3. The difference is that the interleaving is done by symbols instead of single bits, reusing the existing interleaving tables.

3.15.3.5 Mapping on a Burst

The mapping is done as specified for the TCH/HS in subclause 3.2.4 with exception that it is done by symbols instead of single bits.

3.15.4 SID_FIRST_P2

This frame type contains no source data from the speech coder. What is generated is the in-band channel and, derived from that, an identification marker. The in-band data id(0,1) represents Mode Indication or Mode Command/Mode Request depending on the current frame number.

3.15.4.1 Coding of in-band data

The coding of in-band data is done as specified for the SID_FIRST_P2 frame at half rate in subclause 3.10.4.1.

3.15.4.2 Repetition

The coded bits (c) are repeated according to the following rule:

c'(3k+2) = c'(3k+1) = c'(3k) = c(k) for k=0,2,4…,226

3.15.4.3 Interleaving

Before interleaving the coded bits {c'(0), c'(1), c'(2), c'(6), c'(7), c'(8) … c'(678), c'(679), c'(680)} are converted into 3-bit symbols {C(0), C(2) , C(4) … C(226)} according to table 1 in 3GPP TS 45.004, the symbol C(k) depends on c'(3k+2), c'(3k+1) and c'(3k) for k=0,2,4,…,226.

The interleaving is done as specified for the SID_FIRST_P2 frame at half rate in subclause 3.10.4.2. The difference is that the interleaving is done by symbols instead of single bits, reusing the existing interleaving tables. The result of the interleaving is a distribution of 114 of the reordered 228 symbols of a given data block over 2 blocks using the even numbered symbols. The odd numbered symbols of these 2 blocks have already been filled by the SID_FIRST_P1 frame.

3.15.4.4 Mapping on a Burst

The mapping is done as specified for the SID_FIRST_P2 frame at half rate in subclause 3.10.4.3 with exception that it is done by symbols instead of single bits.

3.15.5 SID_FIRST_INH

This special frame is used when the first 2 burst of a SID_FIRST_P1 frame have been transmitted but the second two bursts cannot be transmitted due to a SPEECH frame. The general coding is as: the in-band data (Note that this must be the same data as for the SID_FIRST_P1 frame that is being inhibited) is encoded, a marker that is the opposite of the SID_FIRST_P1 marker is appended and the data is interleaved in such a way that the odd symbols of two bursts are filled.

3.15.5.1 Coding of in-band data

The coding of the in-band data is done as specified for the SID_FIRST_P1 frame in subclause 3.10.3.1.

3.15.5.2 Identification marker

The identification marker is done as specified for the SID_FIRST_INH frame at half rate in subclause 3.10.5.2.

3.15.5.3 Repetition

The coded bits (c) are repeated according to the following rule:

c'(3k+2) = c'(3k+1) = c'(3k) = c(k) for k=0,…,227

3.15.5.4 Interleaving

The interleaving is done as specified for the SID_UPDATE_INH in subclause 3.10.2.3. The difference is that the interleaving is done by symbols instead of single bits, reusing the existing interleaving tables.

3.15.5.5 Mapping on a Burst

The mapping is done as specified for the SID_UPDATE_INH in subclause 3.10.2.4 with exception that it is done by symbols instead of single bits.

3.15.6 ONSET

Onset frames are used to preset the interleaver buffer after a period of no speech activity in DTX mode. This frame type contains no source data from the speech coder. What is transmitted is the in-band channel signalling the Mode Indication for the speech frame following the onset marker.

3.15.6.1 Coding of in-band data

The coding of in-band data is done as specified for the ONSET frame at half rate in subclause 3.10.6.1.

3.15.6.2 Repetition

The repetition is done as specified for the SID_UPDATE_INH frame in subclause 3.15.2.3.

3.15.6.3 Interleaving

The interleaving is done as specified for the SID_UPDATE_INH frame in subclause 3.15.2.4.

3.15.6.4 Mapping on a Burst

The mapping is done as specified for the SID_UPDATE_INH frame in subclause 3.15.2.5.

3.15.7 SPEECH

The speech coder delivers to the channel encoder a sequence of blocks of data. One block of data corresponds to one speech frame and the block length is different in each of the eight channel codec modes. Adjoining each block of data is information of the channel codec mode to use when encoding the block. Also delivered is the in-band data id(0,1) representing Mode Indication or Mode Command/Mode Request depending on the current frame number.

3.15.7.1 Coding of the in-band data

The two input in-band bits (id(0,1)) are coded to twelve coded in-band bits (ic(0..11)).

3.15.7.2 Ordering according to subjective importance

The bits delivered by the speech encoder, {s(1),s(2),…,s(K_s)}, are rearranged according to subjective importance before channel coding. Tables 7 to 14 define the correct rearrangement for the speech codec modes 12.2 kbit/s, 10.2 kbit/s, 7.95 kbit/s, 7.4 kbit/s, 6.7 kbit/s, 5.9 kbit/s, 5.15 kbit/s and 4.75 kbit/s, respectively. In the tables speech codec parameters are numbered in the order they are delivered by the corresponding speech encoder according to 3GPP TS 26.090 and the rearranged bits are labelled {d(0),d(1),…,d(K_d-1)}, defined in the order of decreasing importance. Index K_d refers to the number of bits delivered by the speech encoder, see below:

Codec mode	Number of speech bits delivered per block (K_d)
O-TCH/AHS12.2	244
O-TCH/AHS10.2	204
O-TCH/AHS7.95	159
O-TCH/AHS7.4	148
O-TCH/AHS6.7	134
O-TCH/AHS5.9	118
O-TCH/AHS5.15	103
O-TCH/AHS4.75	95

The ordering algorithm is in pseudo code as:

for j = 0 to K_d-1 d(j) := s(table(j)+1); where table(j) is read line by line left to right

The rearranged bits are further divided into three different classes to perform unequal error protection for different bits according to subjective importance.

The protection classes are:

1a – Data protected with the CRC and the convolution code.
1b – Data protected with the convolution code.

The number of class 1 (sum of class 1a and 1b), class 1a and class 1b bits for each codec mode is shown below:

Codec mode	Number of speech bits delivered per block	Number of class 1a bits per block	Number of class 1b bits per block
O-TCH/AHS12.2	244	81	163
O-TCH/AHS10.2	204	65	139
O-TCH/AHS7.95	159	75	84
O-TCH/AHS7.4	148	61	87
O-TCH/AHS6.7	134	55	79
O-TCH/AHS5.9	118	55	63
O-TCH/AHS5.15	103	49	54
O-TCH/AHS4.75	95	39	56

3.15.7.3 Parity for speech frames

The basic parameters for each codec mode for the first encoding step are shown below:

Codec mode	Speech encoded bits (K_d)	CRC protected bits (K_d1a)	Number of bits after first encoding step (K_u = K_d + 6)
O-TCH/AHS12.2	244	81	250
O-TCH/AHS10.2	204	65	210
O-TCH/AHS7.95	159	75	165
O-TCH/AHS7.4	148	61	154
O-TCH/AHS6.7	134	55	140
O-TCH/AHS5.9	118	55	124
O-TCH/AHS5.15	103	49	109
O-TCH/AHS4.75	95	39	101

A 6-bit CRC is used for error-detection. These 6 parity bits are generated by the cyclic generator polynomial: g(D) = D⁶ + D⁵ + D³ + D² + D¹ + 1 from the first K_d1a bits of class 1, where K_d1a refers to number of bits in protection class 1a as shown above for each codec mode. The encoding of the cyclic code is performed in a systematic form, which means that, in GF(2), the polynomial:

d(0)D(K_d1a+5) + d(1)D(K_d1a+4) +… + d(K_d1a-1)D(6) + p(0)D(5) +…+ p(4)D+ p(5)

where p(0), p(1) … p(5) are the parity bits, when divided by g(D), yields a remainder equal to:

1+ D + D² + D³ + D⁴ + D⁵.

The information and parity bits are merged:

u(k) = d(k) for k = 0, 1, …, K_d1a-1

u(k) = p(k-K_d1a) for k = K_d1a, K_d1a+1, …, K_d1a+5

u(k) = d(k-6) for k = K_d1a+6, K_d1a+7, …, K_u-1

Thus, after the first encoding step u(k) will be defined by the following contents for each codec mode:

O-TCH/AHS12.2:

u(k) = d(k) for k = 0, 1, …, 80

u(k) = p(k-81) for k = 81, 82, …, 86

u(k) = d(k-6) for k = 87, 88, …, 249

O-TCH/AHS10.2:

u(k) = d(k) for k = 0, 1, …, 64

u(k) = p(k-65) for k = 65, 66, …, 70

u(k) = d(k-6) for k = 71, 72, …, 209

O-TCH/AHS7.95:

u(k) = d(k) for k = 0, 1, …, 74

u(k) = p(k-75) for k = 75, 76, …, 80

u(k) = d(k-6) for k = 81, 82, …, 164

O-TCH/AHS7.4:

u(k) = d(k) for k = 0, 1, …, 60

u(k) = p(k-61) for k = 61, 62, …, 66

u(k) = d(k-6) for k = 67, 68, …, 153

O-TCH/AHS6.7:

u(k) = d(k) for k = 0, 1, …, 54

u(k) = p(k-55) for k = 55, 56, …, 60

u(k) = d(k-6) for k = 61, 62, …, 139

O-TCH/AHS5.9:

u(k) = d(k) for k = 0, 1, …, 54

u(k) = p(k-55) for k = 55, 56, …, 60

u(k) = d(k-6) for k = 61, 62, …, 123

O-TCH/AHS5.15:

u(k) = d(k) for k = 0, 1, …, 48

u(k) = p(k-49) for k = 49, 50, …, 54

u(k) = d(k-6) for k = 55, 56, …, 108

O-TCH/AHS4.75:

u(k) = d(k) for k = 0, 1, …, 38

u(k) = p(k-39) for k = 39, 40, …, 44

u(k) = d(k-6) for k = 45, 46, …, 100

3.15.7.4 Convolutional encoder

The bits from the first encoding step (u(k)) are encoded with the recursive systematic convolutional codes as summarised below. The number of output bits after puncturing is 672 for all codec modes.

Codec Mode	Rate	Number of input bits to conv. coder	Number of output bits from conv. coder	Number of punctured bits
O-TCH/AHS12.2	1/3	250	768	96
O-TCH/AHS10.2	¼	210	864	192
O-TCH/AHS7.95	¼	165	684	12
O-TCH/AHS7.4	1/5	154	800	128
O-TCH/AHS6.7	1/5	140	730	58
O-TCH/AHS5.9	1/6	124	780	108
O-TCH/AHS5.15	1/6	109	690	18
O-TCH/AHS4.75	1/7	101	749	77

Below the coding for each codec mode is specified in detail.

O-TCH/AHS12.2:

The block of 250 bits {u(0)… u(249)} is encoded with the 1/3 rate convolutional code defined by the following polynomials:

G4/G7 =1 + D² + D³ + D⁵+ D⁶/1 + D + D2 + D3 + D6

G5/G7 =1 + D+ D⁴+ D⁶/1 + D + D2 + D3 + D6

G7/G7=1

resulting in 768 coded bits, {C(0)… C(767)} defined by:

r(k) = u(k) + r(k-1) + r(k-2) + r(k-3) + r(k-6)

C(3k) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(3k+1) = r(k) + r(k-1) + r(k-4) + r(k-6)

C(3k+2) = u(k) for k = 0, 1, …, 249; r(k) = 0 for k<0

and (for termination of the coder):

r(k) = 0

C(3k) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(3k+1) = r(k) + r(k-1) + r(k-4) + r(k-6)

C(3k+2) = r(k-1) + r(k-2) + r(k-3) + r(k-6) for k = 250, 251, …, 255

The following 448 coded bits are moved to data block P_G:

C(2), C(3), C(5), C(6), C(8), C(9), C(11), C(12), C(14), C(15), C(17), C(18), C(20), C(21), C(22), C(23), C(24), C(26), C(27), C(29), C(30), C(32), C(33), C(34), C(35), C(36), C(38), C(39), C(41), C(42), C(44), C(45), C(46), C(47), C(48), C(50), C(51), C(53), C(54), C(56), C(57), C(58), C(59), C(60), C(62), C(63), C(65), C(66), C(68), C(69), C(70), C(71), C(72), C(74), C(75), C(77), C(78), C(80), C(81), C(82), C(83), C(84), C(86), C(87), C(89), C(90), C(92), C(93), C(94), C(95), C(96), C(98), C(99), C(101), C(102), C(104), C(105), C(106), C(107), C(108), C(110), C(111), C(113), C(114), C(116), C(117), C(118), C(119), C(120), C(122), C(123), C(125), C(126), C(128), C(129), C(130), C(131), C(132), C(134), C(135), C(137), C(138), C(140), C(141), C(142), C(143), C(144), C(146), C(147), C(149), C(150), C(152), C(153), C(154), C(155), C(156), C(158), C(159), C(161), C(162), C(164), C(165), C(166), C(167), C(168), C(170), C(171), C(173), C(174), C(176), C(177), C(178), C(179), C(180), C(182), C(183), C(185), C(186), C(188), C(189), C(190), C(191), C(192), C(194), C(195), C(197), C(198), C(200), C(201), C(202), C(203), C(204), C(206), C(207), C(209), C(210), C(212), C(213), C(214), C(215), C(216), C(218), C(219), C(221), C(222), C(224), C(225), C(226), C(227), C(228), C(230), C(231), C(233), C(234), C(236), C(237), C(238), C(239), C(240), C(242), C(243), C(245), C(246), C(248), C(249), C(250), C(251), C(252), C(254), C(255), C(257), C(258), C(260), C(261), C(262), C(263), C(264), C(266), C(267), C(269), C(270), C(272), C(273), C(275), C(276), C(278), C(279), C(281), C(282), C(284), C(285), C(287), C(288), C(290), C(291), C(293), C(294), C(296), C(297), C(299), C(300), C(302), C(303), C(305), C(306), C(308), C(309), C(311), C(312), C(314), C(315), C(317), C(318), C(320), C(321), C(323), C(324), C(326), C(327), C(329), C(330), C(332), C(333), C(335), C(336), C(338), C(339), C(341), C(342), C(344), C(345), C(347), C(348), C(350), C(351), C(353), C(354), C(356), C(357), C(359), C(360), C(362), C(363), C(365), C(366), C(368), C(369), C(371), C(372), C(374), C(375), C(377), C(378), C(380), C(381), C(383), C(384), C(386), C(387), C(389), C(390), C(392), C(393), C(395), C(396), C(398), C(399), C(401), C(402), C(404), C(405), C(407), C(410), C(411), C(413), C(414), C(416), C(419), C(420), C(422), C(423), C(425), C(428), C(431), C(434), C(435), C(437), C(438), C(440), C(443), C(444), C(446), C(449), C(450), C(452), C(455), C(458), C(461), C(464), C(467), C(468), C(470), C(471), C(473), C(476), C(479), C(482), C(483), C(485), C(486), C(488), C(491), C(494), C(497), C(498), C(500), C(503), C(506), C(509), C(512), C(515), C(516), C(518), C(519), C(521), C(524), C(527), C(530), C(531), C(533), C(534), C(536), C(539), C(542), C(545), C(546), C(548), C(551), C(554), C(557), C(560), C(563), C(564), C(566), C(567), C(569), C(572), C(575), C(578), C(579), C(581), C(582), C(584), C(587), C(590), C(593), C(594), C(596), C(599), C(602), C(605), C(608), C(611), C(612), C(614), C(615), C(617), C(620), C(623), C(626), C(627), C(629), C(630), C(632), C(635), C(638), C(641), C(642), C(644), C(647), C(650), C(653), C(656), C(659), C(660), C(662), C(663), C(665), C(668), C(671), C(674), C(675), C(677), C(678), C(680), C(683), C(686), C(689), C(690), C(692), C(695), C(698), C(701), C(704), C(707), C(708), C(710), C(711), C(713), C(716), C(719), C(722), C(723), C(725), C(726), C(728), C(731), C(734), C(737), C(738), C(740), C(743), C(746), C(749), C(755), C(758), C(761), C(764)

And the following 224 coded bits are moved to data block P_B:

C(16), C(19), C(25), C(28), C(31), C(37), C(40), C(49), C(52), C(55), C(61), C(64), C(67), C(73), C(76), C(79), C(85), C(88), C(97), C(100), C(103), C(109), C(112), C(115), C(121), C(124), C(127), C(133), C(136), C(145), C(148), C(151), C(157), C(160), C(163), C(169), C(172), C(175), C(181), C(184), C(193), C(196), C(199), C(205), C(208), C(211), C(217), C(220), C(223), C(229), C(232), C(241), C(244), C(247), C(253), C(256), C(259), C(265), C(268), C(271), C(274), C(277), C(280), C(283), C(286), C(289), C(295), C(301), C(307), C(310), C(316), C(322), C(328), C(337), C(343), C(349), C(355), C(358), C(364), C(370), C(376), C(385), C(391), C(397), C(403), C(406), C(408), C(412), C(417), C(418), C(424), C(426), C(429), C(432), C(433), C(439), C(441), C(445), C(447), C(451), C(453), C(454), C(456), C(459), C(460), C(462), C(465), C(466), C(472), C(474), C(477), C(480), C(481), C(487), C(489), C(492), C(493), C(495), C(499), C(501), C(502), C(504), C(507), C(508), C(510), C(513), C(514), C(520), C(522), C(525), C(528), C(529), C(535), C(537), C(540), C(541), C(543), C(547), C(549), C(550), C(552), C(555), C(556), C(558), C(561), C(562), C(568), C(570), C(573), C(576), C(577), C(583), C(585), C(588), C(589), C(591), C(595), C(597), C(598), C(600), C(603), C(604), C(606), C(609), C(610), C(616), C(618), C(621), C(624), C(625), C(631), C(633), C(636), C(637), C(639), C(643), C(645), C(646), C(648), C(651), C(652), C(654), C(657), C(658), C(664), C(666), C(669), C(672), C(673), C(679), C(681), C(684), C(685), C(687), C(691), C(693), C(694), C(696), C(699), C(700), C(702), C(705), C(706), C(712), C(714), C(717), C(720), C(721), C(727), C(729), C(732), C(733), C(735), C(739), C(741), C(742), C(744), C(747), C(750), C(752), C(753), C(756), C(759), C(767)

The vectors P_G and P_B of coded and punctured bits is combined with in band bits to vector P_C‘ as

P_C‘ (k) = ic(k) for k = 0, 1, 2, 3

P_C‘ (k+4) = P_G(k) for k = 0, 1, …, 223

P_C‘ (k+224) = ic(k) for k = 4, 5, 6, 7

P_C‘ (k+8) = P_G(k) for k = 224, 225, …, 447

P_C‘ (k+448) = ic(k) for k = 8, 9, 10, 11

P_C‘ (k+460) = P_B(k) for k = 0, 1, …, 223

O-TCH/AHS10.2:

The block of 210 bits {u(0)… u(209)} is encoded with the ¼ rate convolutional code defined by the following polynomials:

G4/G7 = 1 + D² + D³ + D⁵+ D⁶/1 + D + D2 + D3 + D6

G5/G7 = 1 + D+ D⁴+ D⁶/1 + D + D2 + D3 + D6

G6/G7 = 1 + D+ D²+ D³+ D⁴+ D⁶/1 + D + D2 + D3 + D6

G7/G7= 1

resulting in 864 coded bits, {C(0)… C(863)} defined by:

r(k) = u(k) + r(k-1) + r(k-2) + r(k-3) + r(k-6)

C(4k) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(4k+1) = r(k) + r(k-1) + r(k-4) + r(k-6)

C(4k+2) = r(k) + r(k-1) + r(k-2) + r(k-3) + r(k-4) + r(k-6)

C(4k+3) = u(k) for k = 0, 1, …, 209; r(k) = 0 for k<0

and (for termination of the coder):

r(k) = 0

C(4k) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(4k+1) = r(k) + r(k-1) + r(k-4) + r(k-6)

C(4k+2) = r(k) + r(k-1) + r(k-2) + r(k-3) + r(k-4) + r(k-6)

C(4k+3) = r(k-1) + r(k-2) + r(k-3) + r(k-6) for k = 210, 211, …, 215

The following 448 coded bits are moved to data block P_G:

C(3), C(7), C(8), C(11), C(12), C(15), C(16), C(19), C(20), C(23), C(24), C(27), C(28), C(31), C(32), C(33), C(35), C(36), C(39), C(40), C(43), C(44), C(45), C(47), C(48), C(51), C(52), C(55), C(56), C(57), C(59), C(60), C(63), C(64), C(67), C(68), C(69), C(71), C(72), C(75), C(76), C(79), C(80), C(81), C(83), C(84), C(87), C(88), C(91), C(92), C(93), C(95), C(96), C(99), C(100), C(103), C(104), C(105), C(107), C(108), C(111), C(112), C(115), C(116), C(117), C(119), C(120), C(123), C(124), C(127), C(128), C(129), C(131), C(132), C(135), C(136), C(139), C(140), C(141), C(143), C(144), C(147), C(148), C(151), C(152), C(153), C(155), C(156), C(159), C(160), C(163), C(164), C(165), C(167), C(168), C(171), C(172), C(175), C(176), C(177), C(179), C(180), C(183), C(184), C(187), C(188), C(189), C(191), C(192), C(195), C(196), C(199), C(200), C(201), C(203), C(204), C(207), C(208), C(211), C(212), C(213), C(215), C(216), C(219), C(220), C(223), C(224), C(225), C(227), C(228), C(231), C(232), C(235), C(236), C(237), C(239), C(240), C(243), C(244), C(247), C(248), C(251), C(252), C(255), C(256), C(259), C(260), C(261), C(263), C(264), C(267), C(268), C(271), C(272), C(275), C(276), C(279), C(280), C(283), C(284), C(285), C(287), C(288), C(291), C(292), C(295), C(296), C(299), C(300), C(303), C(304), C(307), C(308), C(311), C(312), C(315), C(316), C(319), C(320), C(323), C(324), C(327), C(328), C(331), C(332), C(335), C(336), C(339), C(340), C(343), C(344), C(347), C(348), C(351), C(352), C(355), C(356), C(359), C(360), C(363), C(364), C(367), C(368), C(371), C(372), C(375), C(376), C(379), C(380), C(383), C(384), C(387), C(388), C(391), C(392), C(395), C(396), C(399), C(400), C(403), C(404), C(407), C(408), C(411), C(412), C(415), C(416), C(419), C(420), C(423), C(424), C(427), C(428), C(431), C(432), C(435), C(436), C(439), C(440), C(443), C(444), C(447), C(448), C(451), C(452), C(455), C(456), C(459), C(460), C(463), C(464), C(467), C(468), C(471), C(472), C(475), C(476), C(479), C(480), C(483), C(484), C(487), C(488), C(491), C(492), C(495), C(496), C(499), C(500), C(503), C(504), C(507), C(508), C(511), C(512), C(515), C(516), C(519), C(520), C(523), C(524), C(527), C(528), C(531), C(532), C(535), C(536), C(539), C(540), C(543), C(544), C(547), C(548), C(551), C(552), C(555), C(556), C(559), C(560), C(563), C(564), C(567), C(568), C(571), C(572), C(575), C(576), C(579), C(580), C(583), C(584), C(587), C(588), C(591), C(592), C(595), C(596), C(599), C(600), C(603), C(604), C(607), C(608), C(611), C(612), C(615), C(616), C(619), C(620), C(623), C(624), C(627), C(628), C(631), C(632), C(635), C(636), C(639), C(640), C(643), C(644), C(647), C(648), C(651), C(652), C(655), C(656), C(659), C(660), C(663), C(664), C(667), C(668), C(671), C(672), C(675), C(676), C(679), C(680), C(683), C(684), C(687), C(688), C(691), C(692), C(695), C(696), C(699), C(700), C(703), C(704), C(707), C(708), C(711), C(712), C(715), C(716), C(719), C(720), C(723), C(724), C(727), C(728), C(731), C(732), C(735), C(736), C(739), C(740), C(743), C(744), C(747), C(748), C(751), C(752), C(755), C(756), C(759), C(760), C(763), C(764), C(767), C(768), C(771), C(772), C(775), C(776), C(779), C(780), C(783), C(784), C(787), C(788), C(791), C(792), C(795), C(796), C(799), C(800), C(803), C(804), C(807), C(808), C(811), C(812), C(815), C(816), C(819), C(820), C(823), C(824), C(827), C(828), C(831), C(832), C(835), C(836), C(839), C(840), C(843), C(844), C(847), C(848), C(851), C(852), C(855), C(859), C(863)

And the following 224 coded bits are moved to data block P_B:

C(4), C(17), C(21), C(25), C(26), C(29), C(34), C(37), C(41), C(42), C(46), C(49), C(50), C(53), C(58), C(61), C(65), C(66), C(70), C(73), C(77), C(82), C(85), C(89), C(90), C(94), C(97), C(101), C(106), C(109), C(113), C(114), C(118), C(121), C(125), C(130), C(133), C(137), C(138), C(142), C(145), C(149), C(154), C(157), C(161), C(162), C(166), C(169), C(173), C(178), C(181), C(185), C(186), C(190), C(193), C(197), C(202), C(205), C(209), C(210), C(214), C(217), C(221), C(226), C(229), C(233), C(234), C(238), C(241), C(245), C(249), C(250), C(253), C(257), C(258), C(262), C(265), C(269), C(273), C(274), C(277), C(281), C(282), C(286), C(289), C(293), C(297), C(298), C(301), C(305), C(306), C(309), C(310), C(313), C(317), C(321), C(325), C(329), C(333), C(337), C(341), C(345), C(349), C(353), C(357), C(361), C(365), C(369), C(373), C(377), C(381), C(385), C(389), C(393), C(397), C(401), C(405), C(409), C(413), C(417), C(421), C(425), C(429), C(433), C(437), C(441), C(445), C(449), C(453), C(457), C(461), C(465), C(469), C(473), C(477), C(481), C(485), C(489), C(493), C(497), C(501), C(505), C(509), C(513), C(517), C(521), C(525), C(529), C(533), C(537), C(541), C(545), C(549), C(553), C(557), C(561), C(565), C(569), C(573), C(577), C(581), C(585), C(589), C(593), C(597), C(601), C(605), C(609), C(613), C(617), C(621), C(625), C(629), C(633), C(637), C(641), C(645), C(649), C(653), C(657), C(661), C(665), C(669), C(673), C(677), C(681), C(685), C(689), C(693), C(697), C(701), C(705), C(709), C(713), C(717), C(721), C(725), C(729), C(733), C(737), C(741), C(745), C(749), C(753), C(757), C(761), C(765), C(769), C(773), C(777), C(781), C(785), C(789), C(793), C(797), C(801), C(805), C(809), C(813), C(817), C(821), C(825), C(829), C(833)

The vectors P_G and P_B of coded and punctured bits is combined with in band bits to vector P_C‘ as

P_C‘ (k) = ic(k) for k = 0, 1, 2, 3

P_C‘ (k+4) = P_G(k) for k = 0, 1, …, 223

P_C‘ (k+224) = ic(k) for k = 4, 5, 6, 7

P_C‘ (k+8) = P_G(k) for k = 224, 225, …, 447

P_C‘ (k+448) = ic(k) for k = 8, 9, 10, 11

P_C‘ (k+460) = P_B(k) for k = 0, 1, …, 223

O-TCH/AHS7.95:

The block of 165 bits {u(0)… u(164)} is encoded with the ¼ rate convolutional code defined by the following polynomials:

G4/G7 =1 + D² + D³ + D⁵+ D⁶/1 + D + D2 + D3 + D6

G5/G7 =1 + D+ D⁴+ D⁶/1 + D + D2 + D3 + D6

G6/G7 = 1 + D+ D²+ D³+ D⁴+ D⁶/1 + D + D2 + D3 + D6

G7/G7=1

resulting in 684 coded bits, {C(0)… C(683)} defined by:

r(k) = u(k) + r(k-1) + r(k-2) + r(k-3) + r(k-6)

C(4k) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(4k+1) = r(k) + r(k-1) + r(k-4) + r(k-6)

C(4k+2) = r(k) + r(k-1) + r(k-2) + r(k-3) + r(k-4) + r(k-6)

C(4k+3) = u(k) for k = 0, 1, …, 164; r(k) = 0 for k<0

and (for termination of the coder):

r(k) = 0

C(4k) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(4k+1) = r(k) + r(k-1) + r(k-4) + r(k-6)

C(4k+2) = r(k) + r(k-1) + r(k-2) + r(k-3) + r(k-4) + r(k-6)

C(4k+3) = r(k-1) + r(k-2) + r(k-3) + r(k-6) for k = 165, 166, …, 170

The following 448 coded bits are moved to data block P_G:

C(3), C(7), C(11), C(15), C(16), C(19), C(20), C(23), C(24), C(27), C(28), C(29), C(31), C(32), C(33), C(35), C(36), C(37), C(39), C(40), C(41), C(43), C(44), C(47), C(48), C(49), C(51), C(52), C(53), C(55), C(56), C(57), C(59), C(60), C(61), C(63), C(64), C(65), C(67), C(68), C(71), C(72), C(73), C(75), C(76), C(77), C(79), C(80), C(81), C(83), C(84), C(85), C(87), C(88), C(89), C(91), C(92), C(95), C(96), C(97), C(99), C(100), C(101), C(103), C(104), C(105), C(107), C(108), C(109), C(111), C(112), C(113), C(115), C(116), C(119), C(120), C(121), C(123), C(124), C(125), C(127), C(128), C(129), C(131), C(132), C(133), C(135), C(136), C(137), C(139), C(140), C(143), C(144), C(145), C(147), C(148), C(149), C(151), C(152), C(153), C(155), C(156), C(157), C(159), C(160), C(161), C(163), C(164), C(167), C(168), C(169), C(171), C(172), C(173), C(175), C(176), C(177), C(179), C(180), C(181), C(183), C(184), C(185), C(187), C(188), C(191), C(192), C(193), C(195), C(196), C(197), C(199), C(200), C(201), C(203), C(204), C(205), C(207), C(208), C(209), C(211), C(212), C(215), C(216), C(217), C(219), C(220), C(221), C(223), C(224), C(225), C(227), C(228), C(229), C(231), C(232), C(233), C(235), C(236), C(239), C(240), C(241), C(243), C(244), C(245), C(247), C(248), C(249), C(251), C(252), C(253), C(255), C(256), C(257), C(259), C(260), C(263), C(264), C(265), C(267), C(268), C(269), C(271), C(272), C(273), C(275), C(276), C(277), C(279), C(280), C(281), C(283), C(284), C(287), C(288), C(289), C(291), C(292), C(293), C(295), C(296), C(297), C(299), C(300), C(301), C(303), C(304), C(305), C(307), C(308), C(311), C(312), C(313), C(315), C(316), C(317), C(319), C(320), C(321), C(323), C(324), C(325), C(327), C(328), C(329), C(331), C(332), C(335), C(336), C(337), C(339), C(340), C(341), C(343), C(344), C(345), C(347), C(348), C(349), C(351), C(352), C(353), C(355), C(356), C(359), C(360), C(361), C(363), C(364), C(365), C(367), C(368), C(369), C(371), C(372), C(373), C(375), C(376), C(377), C(379), C(380), C(383), C(384), C(385), C(387), C(388), C(389), C(391), C(392), C(393), C(395), C(396), C(397), C(399), C(400), C(401), C(403), C(404), C(407), C(408), C(409), C(411), C(412), C(413), C(415), C(416), C(417), C(419), C(420), C(421), C(423), C(424), C(425), C(427), C(428), C(431), C(432), C(433), C(435), C(436), C(437), C(439), C(440), C(441), C(443), C(444), C(445), C(447), C(448), C(449), C(451), C(452), C(455), C(456), C(457), C(459), C(460), C(461), C(463), C(464), C(465), C(467), C(468), C(469), C(471), C(472), C(473), C(475), C(476), C(479), C(480), C(481), C(483), C(484), C(487), C(488), C(489), C(491), C(492), C(495), C(496), C(497), C(499), C(500), C(503), C(504), C(505), C(507), C(508), C(511), C(512), C(513), C(515), C(516), C(519), C(520), C(521), C(523), C(524), C(527), C(528), C(529), C(531), C(532), C(535), C(536), C(537), C(539), C(540), C(543), C(544), C(545), C(547), C(548), C(551), C(552), C(553), C(555), C(556), C(559), C(560), C(561), C(563), C(564), C(567), C(568), C(569), C(571), C(572), C(575), C(576), C(577), C(579), C(580), C(583), C(584), C(585), C(587), C(588), C(591), C(592), C(593), C(595), C(596), C(599), C(600), C(601), C(603), C(604), C(607), C(608), C(609), C(611), C(612), C(615), C(616), C(617), C(619), C(620), C(623), C(624), C(625), C(627), C(628), C(631), C(632), C(633), C(635), C(636), C(639), C(640), C(641), C(643), C(644), C(647), C(648), C(651), C(655), C(656), C(659), C(660), C(663), C(664), C(667), C(671), C(675), C(679), C(683)

And the following 224 coded bits are moved to data block P_B:

C(0), C(4), C(8), C(9), C(10), C(12), C(13), C(14), C(17), C(18), C(21), C(22), C(25), C(26), C(30), C(34), C(38), C(42), C(45), C(46), C(50), C(54), C(58), C(62), C(66), C(69), C(70), C(74), C(78), C(82), C(86), C(90), C(93), C(94), C(98), C(102), C(106), C(110), C(114), C(117), C(118), C(122), C(126), C(130), C(134), C(138), C(141), C(142), C(146), C(150), C(154), C(158), C(162), C(165), C(166), C(170), C(174), C(178), C(182), C(186), C(189), C(190), C(194), C(198), C(202), C(206), C(210), C(213), C(214), C(218), C(222), C(226), C(230), C(234), C(237), C(238), C(242), C(246), C(250), C(254), C(258), C(261), C(262), C(266), C(270), C(274), C(278), C(282), C(285), C(286), C(290), C(294), C(298), C(302), C(306), C(309), C(310), C(314), C(318), C(322), C(326), C(330), C(333), C(334), C(338), C(342), C(346), C(350), C(354), C(357), C(358), C(362), C(366), C(370), C(374), C(378), C(381), C(382), C(386), C(390), C(394), C(398), C(402), C(405), C(406), C(410), C(414), C(418), C(422), C(426), C(429), C(430), C(434), C(438), C(442), C(446), C(450), C(453), C(454), C(458), C(462), C(466), C(470), C(474), C(477), C(478), C(482), C(485), C(486), C(490), C(493), C(494), C(498), C(501), C(502), C(506), C(509), C(510), C(514), C(517), C(518), C(522), C(525), C(526), C(530), C(533), C(534), C(538), C(541), C(542), C(546), C(549), C(550), C(554), C(557), C(558), C(562), C(565), C(566), C(570), C(573), C(574), C(578), C(581), C(582), C(586), C(589), C(590), C(594), C(597), C(598), C(602), C(605), C(606), C(610), C(613), C(614), C(618), C(621), C(622), C(626), C(629), C(630), C(634), C(637), C(638), C(642), C(645), C(646), C(649), C(650), C(652), C(653), C(654), C(657), C(658), C(661), C(662), C(665), C(666), C(668), C(669), C(670), C(672)

The vectors P_G and P_B of coded and punctured bits is combined with in band bits to vector P_C‘ as

P_C‘ (k) = ic(k) for k = 0, 1, 2, 3

P_C‘ (k+4) = P_G(k) for k = 0, 1, …, 223

P_C‘ (k+224) = ic(k) for k = 4, 5, 6, 7

P_C‘ (k+8) = P_G(k) for k = 224, 225, …, 447

P_C‘ (k+448) = ic(k) for k = 8, 9, 10, 11

P_C‘ (k+460) = P_B(k) for k = 0, 1, …, 223

O-TCH/AHS7.4:

The block of 154 bits {u(0)… u(153)} is encoded with the 1/5 rate convolutional code defined by the following polynomials:

G4/G7 =1 + D² + D³ + D⁵+ D⁶/1 + D + D2 + D3 + D6

G5/G7 =1 + D+ D⁴+ D⁶/1 + D + D2 + D3 + D6

G6/G7 = 1 + D+ D²+ D³+ D⁴+ D⁶/1 + D + D2 + D3 + D6

G7/G7=1

resulting in 800 coded bits, {C(0)… C(799)} defined by:

r(k) = u(k) + r(k-1) + r(k-2) + r(k-3) + r(k-6)

C(5k) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(5k+1) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(5k+2) = r(k) + r(k-1) + r(k-4) + r(k-6)

C(5k+3) = r(k) + r(k-1) + r(k-2) + r(k-3) + r(k-4) + r(k-6)

C(5k+4) = u(k) for k = 0, 1, …, 153; r(k) = 0 for k<0

and (for termination of the coder):

r(k) = 0

C(5k) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(5k+1) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(5k+2) = r(k) + r(k-1) + r(k-4) + r(k-6)

C(5k+3) = r(k) + r(k-1) + r(k-2) + r(k-3) + r(k-4) + r(k-6)

C(5k+4) = r(k-1) + r(k-2) + r(k-3) + r(k-6) for k = 154, 155, …, 159

The following 448 coded bits are moved to data block P_G:

C(4), C(9), C(14), C(17), C(19), C(22), C(24), C(27), C(29), C(32), C(34), C(37), C(39), C(42), C(43), C(44), C(47), C(48), C(49), C(52), C(53), C(54), C(57), C(58), C(59), C(62), C(63), C(64), C(67), C(68), C(69), C(72), C(73), C(74), C(77), C(78), C(79), C(82), C(83), C(84), C(87), C(88), C(89), C(92), C(93), C(94), C(97), C(98), C(99), C(102), C(103), C(104), C(107), C(108), C(109), C(112), C(113), C(114), C(117), C(118), C(119), C(122), C(123), C(124), C(127), C(128), C(129), C(132), C(133), C(134), C(137), C(138), C(139), C(142), C(143), C(144), C(147), C(148), C(149), C(152), C(153), C(154), C(157), C(158), C(159), C(162), C(163), C(164), C(167), C(168), C(169), C(172), C(173), C(174), C(177), C(178), C(179), C(182), C(183), C(184), C(187), C(188), C(189), C(192), C(193), C(194), C(197), C(198), C(199), C(202), C(203), C(204), C(207), C(208), C(209), C(212), C(213), C(214), C(217), C(218), C(219), C(222), C(223), C(224), C(227), C(228), C(229), C(232), C(233), C(234), C(237), C(238), C(239), C(242), C(243), C(244), C(247), C(248), C(249), C(252), C(253), C(254), C(257), C(258), C(259), C(262), C(263), C(264), C(267), C(268), C(269), C(272), C(273), C(274), C(277), C(278), C(279), C(282), C(283), C(284), C(287), C(288), C(289), C(292), C(293), C(294), C(297), C(298), C(299), C(302), C(303), C(304), C(307), C(308), C(309), C(312), C(313), C(314), C(317), C(318), C(319), C(322), C(323), C(324), C(327), C(328), C(329), C(332), C(333), C(334), C(337), C(338), C(339), C(342), C(343), C(344), C(347), C(348), C(349), C(352), C(353), C(354), C(357), C(358), C(359), C(362), C(363), C(364), C(367), C(368), C(369), C(372), C(373), C(374), C(377), C(378), C(379), C(382), C(383), C(384), C(387), C(389), C(392), C(393), C(394), C(397), C(398), C(399), C(402), C(403), C(404), C(407), C(408), C(409), C(412), C(413), C(414), C(417), C(418), C(419), C(422), C(423), C(424), C(427), C(428), C(429), C(432), C(433), C(434), C(437), C(439), C(442), C(443), C(444), C(447), C(448), C(449), C(452), C(453), C(454), C(457), C(458), C(459), C(462), C(463), C(464), C(467), C(468), C(469), C(472), C(473), C(474), C(477), C(478), C(479), C(482), C(483), C(484), C(487), C(489), C(492), C(493), C(494), C(497), C(498), C(499), C(502), C(503), C(504), C(507), C(508), C(509), C(512), C(513), C(514), C(517), C(518), C(519), C(522), C(523), C(524), C(527), C(528), C(529), C(532), C(533), C(534), C(537), C(539), C(542), C(543), C(544), C(547), C(548), C(549), C(552), C(553), C(554), C(557), C(558), C(559), C(562), C(563), C(564), C(567), C(568), C(569), C(572), C(573), C(574), C(577), C(578), C(579), C(582), C(583), C(584), C(587), C(589), C(592), C(593), C(594), C(597), C(598), C(599), C(602), C(603), C(604), C(607), C(608), C(609), C(612), C(613), C(614), C(617), C(618), C(619), C(622), C(623), C(624), C(627), C(628), C(629), C(632), C(633), C(634), C(637), C(639), C(642), C(643), C(644), C(647), C(648), C(649), C(652), C(653), C(654), C(657), C(658), C(659), C(662), C(663), C(664), C(667), C(668), C(669), C(672), C(673), C(674), C(677), C(678), C(679), C(682), C(683), C(684), C(687), C(689), C(692), C(693), C(694), C(697), C(698), C(699), C(702), C(703), C(704), C(707), C(708), C(709), C(712), C(713), C(714), C(717), C(718), C(719), C(722), C(723), C(724), C(728), C(729), C(733), C(734), C(737), C(739), C(742), C(743), C(744), C(747), C(748), C(749), C(752), C(753), C(754), C(758), C(759), C(763), C(764), C(767), C(768), C(769), C(773), C(774), C(778), C(779), C(783), C(784), C(789), C(794), C(799)

And the following 224 coded bits are moved to data block P_B:

C(12), C(13), C(16), C(18), C(21), C(23), C(26), C(28), C(31), C(33), C(36), C(38), C(41), C(45), C(46), C(50), C(51), C(55), C(56), C(60), C(61), C(65), C(66), C(71), C(75), C(76), C(80), C(81), C(85), C(86), C(90), C(91), C(95), C(96), C(100), C(101), C(105), C(106), C(110), C(111), C(115), C(116), C(121), C(125), C(126), C(130), C(131), C(135), C(136), C(140), C(141), C(145), C(146), C(150), C(151), C(155), C(156), C(160), C(161), C(165), C(166), C(171), C(175), C(176), C(180), C(181), C(185), C(186), C(190), C(191), C(195), C(196), C(200), C(201), C(205), C(206), C(210), C(211), C(215), C(216), C(221), C(225), C(226), C(230), C(231), C(235), C(236), C(240), C(241), C(245), C(246), C(250), C(251), C(255), C(256), C(260), C(261), C(265), C(266), C(271), C(275), C(276), C(280), C(281), C(285), C(286), C(290), C(291), C(296), C(300), C(301), C(305), C(306), C(310), C(311), C(315), C(316), C(321), C(325), C(326), C(330), C(331), C(335), C(336), C(340), C(341), C(346), C(350), C(351), C(355), C(356), C(360), C(361), C(365), C(366), C(371), C(375), C(376), C(380), C(381), C(385), C(386), C(388), C(390), C(391), C(396), C(400), C(401), C(405), C(406), C(410), C(411), C(415), C(416), C(421), C(425), C(426), C(430), C(431), C(435), C(436), C(438), C(440), C(441), C(446), C(450), C(451), C(455), C(456), C(460), C(461), C(465), C(466), C(471), C(475), C(476), C(480), C(481), C(485), C(486), C(488), C(491), C(496), C(500), C(501), C(505), C(506), C(510), C(511), C(516), C(521), C(536), C(538), C(546), C(561), C(571), C(586), C(588), C(596), C(611), C(621), C(636), C(638), C(646), C(661), C(671), C(686), C(688), C(696), C(711), C(721), C(727), C(732), C(736), C(738), C(746), C(757), C(762), C(772), C(777), C(782), C(787), C(788), C(793)

The vectors P_G and P_B of coded and punctured bits is combined with in band bits to vector P_C‘ as

P_C‘ (k) = ic(k) for k = 0, 1, 2, 3

P_C‘ (k+4) = P_G(k) for k = 0, 1, …, 223

P_C‘ (k+224) = ic(k) for k = 4, 5, 6, 7

P_C‘ (k+8) = P_G(k) for k = 224, 225, …, 447

P_C‘ (k+448) = ic(k) for k = 8, 9, 10, 11

P_C‘ (k+460) = P_B(k) for k = 0, 1, …, 223

O-TCH/AHS6.7:

The block of 140 bits {u(0)… u(139)} is encoded with the 1/5 rate convolutional code defined by the following polynomials:

G4/G7 =1 + D² + D³ + D⁵+ D⁶/1 + D + D2 + D3 + D6

G5/G7 =1 + D+ D⁴+ D⁶/1 + D + D2 + D3 + D6

G6/G7 = 1 + D+ D²+ D³+ D⁴+ D⁶/1 + D + D2 + D3 + D6

G7/G7=1

resulting in 730 coded bits, {C(0)… C(729)} defined by:

r(k) = u(k) + r(k-1) + r(k-2) + r(k-3) + r(k-6)

C(5k) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(5k+1) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(5k+2) = r(k) + r(k-1) + r(k-4) + r(k-6)

C(5k+3) = r(k) + r(k-1) + r(k-2) + r(k-3) + r(k-4) + r(k-6)

C(5k+4) = u(k) for k = 0, 1, …, 139; r(k) = 0 for k<0

and (for termination of the coder):

r(k) = 0

C(5k) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(5k+1) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(5k+2) = r(k) + r(k-1) + r(k-4) + r(k-6)

C(5k+3) = r(k) + r(k-1) + r(k-2) + r(k-3) + r(k-4) + r(k-6)

C(5k+4) = r(k-1) + r(k-2) + r(k-3) + r(k-6) for k = 140, 141, …, 145

The following 448 coded bits are moved to data block P_G:

C(4), C(9), C(12), C(13), C(14), C(17), C(18), C(19), C(21), C(22), C(23), C(24), C(27), C(28), C(29), C(32), C(33), C(34), C(36), C(37), C(38), C(39), C(42), C(43), C(44), C(46), C(47), C(48), C(49), C(52), C(53), C(54), C(57), C(58), C(59), C(61), C(62), C(63), C(64), C(67), C(68), C(69), C(71), C(72), C(73), C(74), C(77), C(78), C(79), C(82), C(83), C(84), C(86), C(87), C(88), C(89), C(92), C(93), C(94), C(96), C(97), C(98), C(99), C(102), C(103), C(104), C(107), C(108), C(109), C(111), C(112), C(113), C(114), C(117), C(118), C(119), C(121), C(122), C(123), C(124), C(127), C(128), C(129), C(132), C(133), C(134), C(136), C(137), C(138), C(139), C(142), C(143), C(144), C(146), C(147), C(148), C(149), C(152), C(153), C(154), C(157), C(158), C(159), C(161), C(162), C(163), C(164), C(167), C(168), C(169), C(171), C(172), C(173), C(174), C(177), C(178), C(179), C(182), C(183), C(184), C(186), C(187), C(188), C(189), C(192), C(193), C(194), C(196), C(197), C(198), C(199), C(202), C(203), C(204), C(207), C(208), C(209), C(211), C(212), C(213), C(214), C(217), C(218), C(219), C(221), C(222), C(223), C(224), C(227), C(228), C(229), C(232), C(233), C(234), C(236), C(237), C(238), C(239), C(242), C(243), C(244), C(246), C(247), C(248), C(249), C(252), C(253), C(254), C(257), C(258), C(259), C(261), C(262), C(263), C(264), C(267), C(268), C(269), C(271), C(272), C(273), C(274), C(277), C(278), C(279), C(282), C(283), C(284), C(286), C(287), C(288), C(289), C(292), C(293), C(294), C(296), C(297), C(298), C(299), C(302), C(303), C(304), C(307), C(308), C(309), C(311), C(312), C(313), C(314), C(317), C(318), C(319), C(321), C(322), C(323), C(324), C(327), C(328), C(329), C(332), C(333), C(334), C(336), C(337), C(338), C(339), C(342), C(343), C(344), C(347), C(348), C(349), C(352), C(353), C(354), C(357), C(358), C(359), C(362), C(363), C(364), C(367), C(368), C(369), C(372), C(373), C(374), C(377), C(378), C(379), C(382), C(383), C(384), C(387), C(388), C(389), C(392), C(393), C(394), C(397), C(398), C(399), C(402), C(403), C(404), C(407), C(408), C(409), C(412), C(413), C(414), C(417), C(418), C(419), C(422), C(423), C(424), C(427), C(428), C(429), C(432), C(433), C(434), C(437), C(438), C(439), C(442), C(443), C(444), C(447), C(448), C(449), C(452), C(453), C(454), C(457), C(458), C(459), C(462), C(463), C(464), C(467), C(468), C(469), C(472), C(473), C(474), C(477), C(478), C(479), C(482), C(483), C(484), C(487), C(488), C(489), C(492), C(493), C(494), C(498), C(499), C(502), C(503), C(504), C(507), C(508), C(509), C(512), C(513), C(514), C(517), C(518), C(519), C(523), C(524), C(527), C(528), C(529), C(532), C(533), C(534), C(537), C(538), C(539), C(542), C(543), C(544), C(548), C(549), C(552), C(553), C(554), C(557), C(558), C(559), C(562), C(563), C(564), C(567), C(568), C(569), C(573), C(574), C(577), C(578), C(579), C(582), C(583), C(584), C(587), C(588), C(589), C(592), C(593), C(594), C(598), C(599), C(602), C(603), C(604), C(607), C(608), C(609), C(612), C(613), C(614), C(617), C(618), C(619), C(623), C(624), C(627), C(628), C(629), C(632), C(633), C(634), C(637), C(638), C(639), C(642), C(643), C(644), C(648), C(649), C(652), C(653), C(654), C(657), C(658), C(659), C(662), C(663), C(664), C(667), C(668), C(669), C(673), C(674), C(677), C(678), C(679), C(682), C(683), C(684), C(687), C(688), C(689), C(692), C(693), C(694), C(698), C(699), C(702), C(703), C(704), C(707), C(708), C(709), C(712), C(713), C(714), C(718), C(719), C(723), C(724), C(728), C(729)

And the following 224 coded bits are moved to data block P_B:

C(16), C(25), C(26), C(30), C(31), C(35), C(40), C(41), C(45), C(50), C(51), C(55), C(56), C(60), C(65), C(66), C(70), C(75), C(76), C(80), C(81), C(85), C(90), C(91), C(95), C(100), C(101), C(105), C(106), C(110), C(115), C(116), C(120), C(125), C(126), C(130), C(131), C(135), C(140), C(141), C(145), C(150), C(151), C(155), C(156), C(160), C(165), C(166), C(170), C(175), C(176), C(180), C(181), C(185), C(190), C(191), C(195), C(200), C(201), C(205), C(206), C(210), C(215), C(216), C(220), C(225), C(226), C(230), C(231), C(235), C(240), C(241), C(245), C(250), C(251), C(255), C(256), C(260), C(265), C(266), C(270), C(275), C(276), C(280), C(281), C(285), C(290), C(291), C(295), C(300), C(301), C(305), C(306), C(310), C(315), C(316), C(320), C(325), C(326), C(330), C(331), C(335), C(340), C(341), C(345), C(346), C(350), C(351), C(355), C(356), C(360), C(361), C(365), C(366), C(370), C(371), C(375), C(376), C(380), C(381), C(385), C(386), C(390), C(391), C(395), C(396), C(400), C(401), C(405), C(406), C(410), C(411), C(415), C(416), C(420), C(421), C(425), C(426), C(430), C(431), C(435), C(436), C(440), C(441), C(445), C(446), C(450), C(451), C(455), C(456), C(460), C(461), C(465), C(466), C(470), C(471), C(475), C(476), C(480), C(481), C(485), C(486), C(490), C(491), C(495), C(496), C(497), C(501), C(505), C(506), C(511), C(515), C(516), C(521), C(522), C(526), C(530), C(531), C(536), C(540), C(541), C(546), C(547), C(551), C(555), C(556), C(561), C(565), C(566), C(571), C(572), C(576), C(580), C(581), C(586), C(590), C(591), C(596), C(597), C(601), C(605), C(606), C(611), C(615), C(616), C(621), C(622), C(626), C(630), C(631), C(636), C(640), C(641), C(646), C(647), C(651), C(656), C(661), C(666), C(671), C(672), C(676), C(681), C(697)

The vectors P_G and P_B of coded and punctured bits is combined with in band bits to vector P_C‘ as

P_C‘ (k) = ic(k) for k = 0, 1, 2, 3

P_C‘ (k+4) = P_G(k) for k = 0, 1, …, 223

P_C‘ (k+224) = ic(k) for k = 4, 5, 6, 7

P_C‘ (k+8) = P_G(k) for k = 224, 225, …, 447

P_C‘ (k+448) = ic(k) for k = 8, 9, 10, 11

P_C‘ (k+460) = P_B(k) for k = 0, 1, …, 223

O-TCH/AHS5.9:

The block of 124 bits {u(0)… u(123)} is encoded with the 1/6 rate convolutional code defined by the following polynomials:

G4/G6 =1 + D² + D³ + D⁵+ D⁶/1 + D + D2 + D3 + D4 + D6

G5/G6 =1 + D+ D⁴+ D⁶/1 + D + D2 + D3 + D4 + D6

G6/G6 = 1

G7/G6=1 + D + D2 + D3 + D6/1 + D + D2 + D3 + D4 + D6

resulting in 780 coded bits, {C(0)… C(779)} defined by:

r(k) = u(k) + r(k-1) + r(k-2) + r(k-3) + r(k-4) + r(k-6)

C(6k) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(6k+1) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(6k+2) = r(k) + r(k-1) + r(k-4) + r(k-6)

C(6k+3) = u(k)

C(6k+4) = u(k)

C(6k+5) = r(k) + r(k-1) + r(k-2) + r(k-3) + r(k-6) for k = 0, 1, …, 123; r(k) = 0 for k<0

and (for termination of the coder):

r(k) = 0

C(6k) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(6k+1) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(6k+2) = r(k) + r(k-1) + r(k-4) + r(k-6)

C(6k+3) = r(k-1) + r(k-2) + r(k-3) + r(k-4) + r(k-6)

C(6k+4) = r(k-1) + r(k-2) + r(k-3) + r(k-4) + r(k-6)

C(6k+5) = r(k) + r(k-1) + r(k-2) + r(k-3) + r(k-6) for k = 124, 125, …, 129

The following 448 coded bits are moved to data block P_G:

C(4), C(9), C(10), C(13), C(14), C(15), C(16), C(19), C(20), C(21), C(22), C(25), C(26), C(27), C(28), C(31), C(32), C(33), C(34), C(37), C(38), C(39), C(40), C(43), C(44), C(45), C(46), C(49), C(50), C(51), C(52), C(55), C(56), C(57), C(58), C(61), C(62), C(63), C(64), C(67), C(68), C(69), C(70), C(73), C(74), C(75), C(76), C(79), C(80), C(81), C(82), C(85), C(86), C(87), C(88), C(91), C(92), C(93), C(94), C(97), C(98), C(99), C(100), C(103), C(104), C(105), C(106), C(109), C(110), C(111), C(112), C(115), C(116), C(117), C(118), C(121), C(122), C(123), C(124), C(127), C(128), C(129), C(130), C(133), C(134), C(135), C(136), C(139), C(140), C(141), C(142), C(145), C(146), C(147), C(148), C(151), C(152), C(153), C(154), C(157), C(158), C(159), C(160), C(163), C(164), C(165), C(166), C(169), C(170), C(171), C(172), C(175), C(176), C(177), C(178), C(181), C(182), C(183), C(184), C(187), C(188), C(189), C(190), C(193), C(194), C(195), C(196), C(199), C(200), C(201), C(202), C(205), C(206), C(207), C(208), C(211), C(212), C(213), C(214), C(217), C(218), C(219), C(220), C(223), C(224), C(225), C(226), C(229), C(230), C(231), C(232), C(235), C(236), C(237), C(238), C(241), C(242), C(243), C(244), C(247), C(248), C(249), C(250), C(253), C(254), C(255), C(256), C(259), C(260), C(261), C(262), C(265), C(266), C(267), C(268), C(271), C(272), C(273), C(274), C(277), C(278), C(279), C(280), C(283), C(284), C(285), C(286), C(289), C(290), C(291), C(292), C(295), C(296), C(297), C(298), C(301), C(302), C(303), C(304), C(307), C(308), C(309), C(310), C(313), C(314), C(315), C(316), C(319), C(320), C(321), C(322), C(325), C(326), C(327), C(328), C(331), C(332), C(333), C(334), C(337), C(338), C(339), C(340), C(343), C(344), C(345), C(346), C(349), C(350), C(351), C(352), C(355), C(356), C(357), C(358), C(361), C(362), C(363), C(364), C(367), C(368), C(369), C(370), C(373), C(374), C(375), C(376), C(379), C(380), C(381), C(382), C(385), C(386), C(387), C(388), C(391), C(392), C(393), C(394), C(397), C(398), C(399), C(400), C(403), C(404), C(405), C(406), C(409), C(410), C(411), C(412), C(415), C(416), C(417), C(418), C(421), C(422), C(423), C(424), C(427), C(428), C(429), C(430), C(434), C(435), C(436), C(439), C(440), C(441), C(442), C(446), C(447), C(448), C(451), C(452), C(453), C(454), C(458), C(459), C(460), C(463), C(464), C(465), C(466), C(470), C(471), C(472), C(475), C(476), C(477), C(478), C(482), C(483), C(484), C(487), C(488), C(489), C(490), C(494), C(495), C(496), C(499), C(500), C(501), C(502), C(506), C(507), C(508), C(511), C(513), C(514), C(518), C(519), C(520), C(523), C(525), C(526), C(530), C(531), C(532), C(535), C(537), C(538), C(542), C(543), C(544), C(547), C(549), C(550), C(554), C(555), C(556), C(559), C(561), C(562), C(566), C(567), C(568), C(571), C(573), C(574), C(578), C(579), C(580), C(583), C(585), C(586), C(590), C(591), C(592), C(595), C(597), C(598), C(602), C(603), C(604), C(607), C(609), C(610), C(614), C(615), C(616), C(619), C(621), C(622), C(626), C(627), C(628), C(631), C(633), C(634), C(638), C(639), C(640), C(643), C(645), C(646), C(650), C(651), C(652), C(655), C(657), C(658), C(662), C(663), C(664), C(667), C(669), C(670), C(674), C(675), C(676), C(679), C(681), C(682), C(686), C(687), C(688), C(691), C(693), C(694), C(698), C(699), C(700), C(703), C(705), C(706), C(710), C(711), C(712), C(717), C(718), C(722), C(723), C(724), C(729), C(730), C(736), C(741), C(742), C(748), C(753), C(754), C(760), C(765), C(766), C(777), C(778)

And the following 224 coded bits are moved to data block P_B:

C(3), C(7), C(8), C(12), C(18), C(23), C(24), C(30), C(35), C(36), C(42), C(47), C(48), C(54), C(59), C(60), C(66), C(71), C(72), C(78), C(83), C(84), C(90), C(95), C(96), C(102), C(107), C(108), C(114), C(119), C(120), C(126), C(131), C(132), C(138), C(143), C(144), C(150), C(155), C(156), C(162), C(167), C(168), C(174), C(179), C(180), C(186), C(191), C(192), C(198), C(203), C(204), C(210), C(215), C(216), C(222), C(227), C(228), C(234), C(239), C(240), C(246), C(251), C(252), C(258), C(263), C(264), C(270), C(275), C(276), C(282), C(287), C(288), C(294), C(299), C(300), C(306), C(311), C(312), C(318), C(323), C(324), C(330), C(335), C(336), C(342), C(347), C(348), C(354), C(359), C(360), C(366), C(371), C(372), C(378), C(383), C(384), C(390), C(395), C(396), C(402), C(407), C(408), C(414), C(419), C(420), C(426), C(431), C(432), C(433), C(438), C(443), C(444), C(445), C(450), C(455), C(456), C(457), C(462), C(467), C(468), C(469), C(474), C(479), C(480), C(481), C(486), C(491), C(492), C(493), C(498), C(503), C(504), C(505), C(512), C(515), C(516), C(517), C(524), C(527), C(528), C(529), C(536), C(539), C(540), C(541), C(548), C(551), C(552), C(553), C(560), C(563), C(564), C(565), C(572), C(575), C(576), C(577), C(584), C(587), C(588), C(589), C(596), C(599), C(600), C(601), C(608), C(611), C(612), C(613), C(620), C(623), C(624), C(625), C(632), C(635), C(636), C(637), C(644), C(647), C(648), C(649), C(656), C(659), C(660), C(661), C(668), C(671), C(672), C(673), C(680), C(683), C(684), C(685), C(692), C(695), C(696), C(697), C(704), C(707), C(708), C(709), C(715), C(716), C(720), C(721), C(727), C(728), C(734), C(735), C(739), C(740), C(746), C(747), C(751), C(752), C(758), C(759), C(763), C(764), C(770), C(771), C(772), C(775)

The vectors P_G and P_B of coded and punctured bits is combined with in band bits to vector P_C‘ as

P_C‘ (k) = ic(k) for k = 0, 1, 2, 3

P_C‘ (k+4) = P_G(k) for k = 0, 1, …, 223

P_C‘ (k+224) = ic(k) for k = 4, 5, 6, 7

P_C‘ (k+8) = P_G(k) for k = 224, 225, …, 447

P_C‘ (k+448) = ic(k) for k = 8, 9, 10, 11

P_C‘ (k+460) = P_B(k) for k = 0, 1, …, 223

O-TCH/AHS5.15:

The block of 109 bits {u(0)… u(108)} is encoded with the 1/6 rate convolutional code defined by the following polynomials:

G4/G7 =1 + D² + D³ + D⁵+ D⁶/1 + D + D2 + D3 + D6

G5/G7 =1 + D+ D⁴+ D⁶/1 + D + D2 + D3 + D6

G6/G7 = 1 + D+ D²+ D³+ D⁴+ D⁶/1 + D + D2 + D3 + D6

G7/G7=1

resulting in 690 coded bits, {C(0)… C(689)} defined by:

r(k) = u(k) + r(k-1) + r(k-2) + r(k-3) + r(k-6)

C(6k) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(6k+1) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(6k+2) = r(k) + r(k-1) + r(k-4) + r(k-6)

C(6k+3) = r(k) + r(k-1) + r(k-2) + r(k-3) + r(k-4) + r(k-6)

C(6k+4) = r(k) + r(k-1) + r(k-2) + r(k-3) + r(k-4) + r(k-6)

C(6k+5) = u(k) for k = 0, 1, …, 108; r(k) = 0 for k<0

and (for termination of the coder):

r(k) = 0

C(6k) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(6k+1) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(6k+2) = r(k) + r(k-1) + r(k-4) + r(k-6)

C(6k+3) = r(k) + r(k-1) + r(k-2) + r(k-3) + r(k-4) + r(k-6)

C(6k+4) = r(k) + r(k-1) + r(k-2) + r(k-3) + r(k-4) + r(k-6)

C(6k+5) = r(k-1) + r(k-2) + r(k-3) + r(k-6) for k = 109, 110, …, 114

The following 448 coded bits are moved to data block P_G:

C(5), C(8), C(9), C(11), C(14), C(15), C(17), C(20), C(21), C(23), C(26), C(27), C(29), C(30), C(32), C(33), C(35), C(36), C(38), C(39), C(41), C(42), C(44), C(45), C(47), C(48), C(50), C(51), C(53), C(54), C(56), C(57), C(59), C(60), C(61), C(62), C(63), C(65), C(66), C(68), C(69), C(71), C(72), C(73), C(74), C(75), C(77), C(78), C(80), C(81), C(83), C(84), C(86), C(87), C(89), C(90), C(92), C(93), C(95), C(96), C(98), C(99), C(101), C(102), C(104), C(105), C(107), C(108), C(109), C(110), C(111), C(113), C(114), C(116), C(117), C(119), C(120), C(121), C(122), C(123), C(125), C(126), C(128), C(129), C(131), C(132), C(134), C(135), C(137), C(138), C(140), C(141), C(143), C(144), C(146), C(147), C(149), C(150), C(152), C(153), C(155), C(156), C(157), C(158), C(159), C(161), C(162), C(164), C(165), C(167), C(168), C(169), C(170), C(171), C(173), C(174), C(176), C(177), C(179), C(180), C(182), C(183), C(185), C(186), C(188), C(189), C(191), C(192), C(194), C(195), C(197), C(198), C(200), C(201), C(203), C(204), C(205), C(206), C(207), C(209), C(210), C(212), C(213), C(215), C(216), C(217), C(218), C(219), C(221), C(222), C(224), C(225), C(227), C(228), C(230), C(231), C(233), C(234), C(236), C(237), C(239), C(240), C(242), C(243), C(245), C(246), C(248), C(249), C(251), C(252), C(253), C(254), C(255), C(257), C(258), C(260), C(261), C(263), C(264), C(265), C(266), C(267), C(269), C(270), C(272), C(273), C(275), C(276), C(278), C(279), C(281), C(282), C(284), C(285), C(287), C(288), C(290), C(291), C(293), C(294), C(296), C(297), C(299), C(300), C(301), C(302), C(303), C(305), C(306), C(308), C(309), C(311), C(312), C(313), C(314), C(315), C(317), C(318), C(320), C(321), C(323), C(324), C(326), C(327), C(329), C(330), C(332), C(333), C(335), C(336), C(338), C(339), C(341), C(342), C(344), C(345), C(347), C(348), C(349), C(350), C(351), C(353), C(354), C(356), C(357), C(359), C(360), C(361), C(362), C(363), C(365), C(366), C(368), C(369), C(371), C(372), C(374), C(375), C(377), C(378), C(380), C(381), C(383), C(384), C(386), C(387), C(389), C(390), C(392), C(393), C(395), C(396), C(397), C(398), C(399), C(401), C(402), C(404), C(405), C(407), C(408), C(409), C(410), C(411), C(413), C(414), C(416), C(417), C(419), C(420), C(422), C(423), C(425), C(426), C(428), C(429), C(431), C(432), C(434), C(435), C(437), C(438), C(440), C(441), C(443), C(444), C(446), C(447), C(449), C(450), C(452), C(453), C(455), C(456), C(458), C(459), C(461), C(462), C(464), C(465), C(467), C(468), C(470), C(471), C(473), C(474), C(476), C(477), C(479), C(480), C(482), C(483), C(485), C(486), C(488), C(489), C(491), C(494), C(495), C(497), C(498), C(500), C(501), C(503), C(504), C(506), C(507), C(509), C(510), C(512), C(513), C(515), C(518), C(519), C(521), C(522), C(524), C(525), C(527), C(528), C(530), C(531), C(533), C(534), C(536), C(537), C(539), C(542), C(543), C(545), C(546), C(548), C(549), C(551), C(552), C(554), C(555), C(557), C(558), C(560), C(561), C(563), C(566), C(567), C(569), C(570), C(572), C(573), C(575), C(576), C(578), C(579), C(581), C(582), C(584), C(585), C(587), C(590), C(591), C(593), C(594), C(596), C(597), C(599), C(600), C(602), C(603), C(605), C(606), C(608), C(609), C(611), C(614), C(615), C(617), C(618), C(620), C(621), C(623), C(624), C(626), C(627), C(629), C(630), C(632), C(633), C(635), C(638), C(639), C(641), C(642), C(644), C(645), C(647), C(648), C(650), C(651), C(653), C(654), C(656), C(657), C(662), C(663), C(666), C(668), C(669), C(671), C(675)

And the following 224 coded bits are moved to data block P_B:

C(2), C(3), C(13), C(24), C(28), C(31), C(34), C(37), C(40), C(43), C(46), C(49), C(52), C(55), C(58), C(64), C(67), C(70), C(76), C(79), C(82), C(85), C(88), C(91), C(94), C(97), C(100), C(103), C(106), C(112), C(115), C(118), C(124), C(127), C(130), C(133), C(136), C(139), C(142), C(145), C(148), C(151), C(154), C(160), C(163), C(166), C(172), C(175), C(178), C(181), C(184), C(187), C(190), C(193), C(196), C(199), C(202), C(208), C(211), C(214), C(220), C(223), C(226), C(229), C(232), C(235), C(238), C(241), C(244), C(247), C(250), C(256), C(259), C(262), C(268), C(271), C(274), C(277), C(280), C(283), C(286), C(289), C(292), C(295), C(298), C(304), C(307), C(310), C(316), C(319), C(322), C(325), C(328), C(331), C(334), C(337), C(340), C(343), C(346), C(352), C(355), C(358), C(364), C(367), C(370), C(373), C(376), C(379), C(382), C(385), C(388), C(391), C(394), C(400), C(403), C(406), C(412), C(415), C(418), C(421), C(424), C(427), C(430), C(433), C(436), C(439), C(442), C(445), C(448), C(451), C(454), C(457), C(460), C(463), C(466), C(469), C(472), C(475), C(478), C(481), C(484), C(487), C(490), C(492), C(493), C(496), C(499), C(502), C(505), C(508), C(511), C(514), C(516), C(517), C(520), C(523), C(526), C(529), C(532), C(535), C(538), C(540), C(541), C(544), C(547), C(550), C(553), C(556), C(559), C(562), C(564), C(565), C(568), C(571), C(574), C(577), C(580), C(583), C(586), C(588), C(589), C(592), C(595), C(598), C(601), C(604), C(607), C(610), C(612), C(613), C(616), C(619), C(622), C(625), C(628), C(631), C(634), C(636), C(637), C(640), C(643), C(646), C(649), C(652), C(655), C(658), C(659), C(660), C(661), C(664), C(665), C(667), C(670), C(672), C(673), C(676), C(677), C(681), C(682), C(683), C(686), C(687), C(688), C(689)

The vectors P_G and P_B of coded and punctured bits is combined with in band bits to vector P_C‘ as

P_C‘ (k) = ic(k) for k = 0, 1, 2, 3

P_C‘ (k+4) = P_G(k) for k = 0, 1, …, 223

P_C‘ (k+224) = ic(k) for k = 4, 5, 6, 7

P_C‘ (k+8) = P_G(k) for k = 224, 225, …, 447

P_C‘ (k+448) = ic(k) for k = 8, 9, 10, 11

P_C‘ (k+460) = P_B(k) for k = 0, 1, …, 223

O-TCH/AHS4.75:

The block of 101 bits {u(0)… u(100)} is encoded with the 1/7 rate convolutional code defined by the following polynomials:

G4/G7 =1 + D² + D³ + D⁵+ D⁶/1 + D + D2 + D3 + D6

G5/G7 =1 + D+ D⁴+ D⁶/1 + D + D2 + D3 + D6

G6/G7 = 1 + D+ D²+ D³+ D⁴+ D⁶/1 + D + D2 + D3 + D6

G7/G7=1

resulting in 749 coded bits, {C(0)… C(748)} defined by:

r(k) = u(k) + r(k-1) + r(k-2) + r(k-3) + r(k-6)

C(7k) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(7k+1) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(7k+2) = r(k) + r(k-1) + r(k-4) + r(k-6)

C(7k+3) = r(k) + r(k-1) + r(k-4) + r(k-6)

C(7k+4) = r(k) + r(k-1) + r(k-2) + r(k-3) + r(k-4) + r(k-6)

C(7k+5) = r(k) + r(k-1) + r(k-2) + r(k-3) + r(k-4) + r(k-6)

C(7k+6) = u(k) for k = 0, 1, …, 100; r(k) = 0 for k<0

and (for termination of the coder):

r(k) = 0

C(7k) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(7k+1) = r(k) + r(k-2) + r(k-3) + r(k-5) + r(k-6)

C(7k+2) = r(k) + r(k-1) + r(k-4) + r(k-6)

C(7k+3) = r(k) + r(k-1) + r(k-4) + r(k-6)

C(7k+4) = r(k) + r(k-1) + r(k-2) + r(k-3) + r(k-4) + r(k-6)

C(7k+5) = r(k) + r(k-1) + r(k-2) + r(k-3) + r(k-4) + r(k-6)

C(7k+6) = r(k-1) + r(k-2) + r(k-3) + r(k-6) for k = 101, 102, …, 106

The following 448 coded bits are moved to data block P_G:

C(6), C(13), C(15), C(18), C(20), C(22), C(25), C(27), C(30), C(32), C(34), C(36), C(37), C(39), C(41), C(42), C(43), C(44), C(46), C(48), C(49), C(51), C(53), C(55), C(56), C(57), C(58), C(60), C(62), C(63), C(64), C(65), C(67), C(69), C(70), C(72), C(74), C(76), C(77), C(78), C(79), C(81), C(83), C(84), C(85), C(86), C(88), C(90), C(91), C(93), C(95), C(97), C(98), C(99), C(100), C(102), C(104), C(105), C(106), C(107), C(109), C(111), C(112), C(114), C(116), C(118), C(119), C(120), C(121), C(123), C(125), C(126), C(127), C(128), C(130), C(132), C(133), C(135), C(137), C(139), C(140), C(141), C(142), C(144), C(146), C(147), C(148), C(149), C(151), C(153), C(154), C(156), C(158), C(160), C(161), C(162), C(163), C(165), C(167), C(168), C(169), C(170), C(172), C(174), C(175), C(177), C(179), C(181), C(182), C(183), C(184), C(186), C(188), C(189), C(190), C(191), C(193), C(195), C(196), C(198), C(200), C(202), C(203), C(204), C(205), C(207), C(209), C(210), C(211), C(212), C(214), C(216), C(217), C(219), C(221), C(223), C(224), C(225), C(226), C(228), C(230), C(231), C(232), C(233), C(235), C(237), C(238), C(240), C(242), C(244), C(245), C(246), C(247), C(249), C(251), C(252), C(253), C(254), C(256), C(258), C(259), C(261), C(263), C(265), C(266), C(267), C(268), C(270), C(272), C(273), C(274), C(275), C(277), C(279), C(280), C(282), C(284), C(286), C(287), C(288), C(289), C(291), C(293), C(294), C(295), C(296), C(298), C(300), C(301), C(303), C(305), C(307), C(308), C(309), C(310), C(312), C(314), C(315), C(316), C(317), C(319), C(321), C(322), C(324), C(326), C(328), C(329), C(330), C(331), C(333), C(335), C(336), C(337), C(338), C(340), C(342), C(343), C(345), C(347), C(349), C(350), C(351), C(352), C(354), C(356), C(357), C(358), C(359), C(361), C(363), C(364), C(366), C(368), C(370), C(371), C(372), C(373), C(375), C(377), C(378), C(379), C(380), C(382), C(384), C(385), C(387), C(389), C(391), C(392), C(393), C(394), C(396), C(398), C(399), C(400), C(401), C(403), C(405), C(406), C(408), C(410), C(412), C(413), C(414), C(415), C(417), C(419), C(420), C(421), C(422), C(424), C(426), C(427), C(429), C(431), C(433), C(434), C(436), C(438), C(440), C(441), C(443), C(445), C(447), C(448), C(450), C(452), C(454), C(455), C(456), C(457), C(459), C(461), C(462), C(463), C(464), C(466), C(468), C(469), C(471), C(473), C(475), C(476), C(478), C(480), C(482), C(483), C(485), C(487), C(489), C(490), C(492), C(494), C(496), C(497), C(498), C(499), C(501), C(503), C(504), C(505), C(506), C(508), C(510), C(511), C(513), C(515), C(517), C(518), C(520), C(522), C(524), C(525), C(527), C(529), C(531), C(532), C(534), C(536), C(538), C(539), C(540), C(541), C(543), C(545), C(546), C(547), C(548), C(550), C(552), C(553), C(555), C(557), C(559), C(560), C(562), C(564), C(566), C(567), C(569), C(571), C(573), C(574), C(576), C(578), C(580), C(581), C(582), C(583), C(585), C(587), C(588), C(590), C(592), C(594), C(595), C(597), C(599), C(601), C(602), C(604), C(606), C(608), C(609), C(611), C(613), C(615), C(616), C(618), C(620), C(622), C(623), C(625), C(627), C(629), C(630), C(632), C(634), C(636), C(637), C(639), C(641), C(643), C(644), C(646), C(648), C(650), C(653), C(655), C(657), C(658), C(660), C(662), C(664), C(667), C(669), C(671), C(674), C(676), C(678), C(679), C(681), C(683), C(685), C(688), C(690), C(692), C(695), C(697), C(699), C(700), C(702), C(704), C(706), C(709), C(711), C(713), C(716), C(718), C(720), C(721), C(723), C(725), C(727), C(730), C(732), C(734), C(742)

And the following 224 coded bits are moved to data block P_B:

C(1), C(4), C(8), C(9), C(11), C(24), C(26), C(29), C(31), C(33), C(40), C(45), C(47), C(50), C(52), C(54), C(61), C(68), C(71), C(73), C(75), C(80), C(82), C(87), C(89), C(92), C(94), C(96), C(103), C(110), C(113), C(115), C(117), C(122), C(124), C(129), C(131), C(134), C(136), C(138), C(145), C(152), C(155), C(157), C(159), C(164), C(166), C(171), C(173), C(176), C(178), C(180), C(187), C(194), C(197), C(199), C(201), C(206), C(208), C(213), C(215), C(218), C(220), C(222), C(229), C(236), C(239), C(241), C(243), C(248), C(250), C(255), C(257), C(260), C(262), C(264), C(271), C(278), C(281), C(283), C(285), C(292), C(299), C(302), C(304), C(306), C(313), C(320), C(323), C(325), C(327), C(334), C(341), C(344), C(346), C(348), C(355), C(362), C(365), C(367), C(369), C(376), C(383), C(386), C(388), C(390), C(397), C(404), C(407), C(409), C(411), C(418), C(425), C(428), C(430), C(432), C(435), C(439), C(442), C(446), C(449), C(451), C(453), C(460), C(467), C(470), C(472), C(474), C(477), C(481), C(484), C(488), C(491), C(493), C(495), C(502), C(509), C(512), C(514), C(516), C(519), C(523), C(526), C(530), C(533), C(535), C(537), C(544), C(551), C(554), C(556), C(558), C(561), C(565), C(568), C(572), C(575), C(577), C(579), C(586), C(589), C(593), C(596), C(598), C(600), C(603), C(607), C(610), C(614), C(617), C(619), C(621), C(624), C(628), C(631), C(635), C(638), C(640), C(642), C(645), C(649), C(651), C(652), C(656), C(659), C(661), C(663), C(665), C(666), C(670), C(672), C(673), C(677), C(680), C(682), C(684), C(686), C(687), C(691), C(693), C(694), C(698), C(701), C(703), C(705), C(707), C(708), C(712), C(714), C(715), C(719), C(722), C(724), C(726), C(728), C(729), C(733), C(737), C(739), C(741), C(743), C(744), C(746), C(748)

The vectors P_G and P_B of coded and punctured bits is combined with in band bits to vector P_C‘ as

P_C‘ (k) = ic(k) for k = 0, 1, 2, 3

P_C‘ (k+4) = P_G(k) for k = 0, 1, …, 223

P_C‘ (k+224) = ic(k) for k = 4, 5, 6, 7

P_C‘ (k+8) = P_G(k) for k = 224, 225, …, 447

P_C‘ (k+448) = ic(k) for k = 8, 9, 10, 11

P_C‘ (k+460) = P_B(k) for k = 0, 1, …, 223

3.15.7.5 Interleaving

Before interleaving the bits {P_C‘(0) … P_C‘(683)} are converted into 3-bit symbols {c(0) … c(227)} according to table 1 in 3GPP TS 45.004, the symbol c(k) consists of d_3k=P_C‘(k), d_3k+1=P_C‘(k+228) and d_3k+2=P_C‘(k+456) for k=0,1,…,227. The interleaving is done as specified for the TCH/HS in subclause 3.2.3. The difference is that the interleaving is done by symbols instead of single bits, reusing the existing interleaving tables.

3.15.7.6 Mapping on a Burst

The mapping is given by the rule:

e(B,j) = i(B,j) and e(B,59+j) = i(B,57+j) for j = 0,1,…,56

and

e(B,57) = hl(B) and e(B,58) = hu(B)

The two symbols, labelled hl(B) and hu(B) on burst number B are flags used for indication of control channel signalling. For each O-TCH/AHS block not stolen for signalling purposes:

hu(B) = {0,0,0} for the first 2 bursts (indicating status of the even numbered symbols)

hl(B) = {0,0,0} for the last 2 bursts (indicating status of the odd numbered symbols)

where {0,0,0} is the mapping of the three bits 0,0,0 onto a 3-bit symbol according to table 1 in 3GPP TS 45.004.

For the use of hl(B) and hu(B) when a speech frame is stolen for signalling purposes, see subclause 4.11.6.

3.15.8 RATSCCH_MARKER

This frame type contains the in-band channel and an identification marker. The in-band data id(0,1) represents Mode Indication or Mode Command/Mode Request depending on the current frame number.

3.15.8.1 Coding of in-band data

The coding of in-band data is done as specified for the RATSCCH_MARKER frame at half rate in subclause 3.10.8.1.

3.15.8.2 Identification marker

The identification marker is done as specified for the RATSCCH_MARKER frame at half rate in subclause 3.10.8.2.

3.15.8.3 Interleaving

Before interleaving the bits are repeated 3 times:

c'(3k+2) = c'(3k+1) = c'(3k) = c(k) for k=0,…,227

The bits {c'(0) … c'(683)} are then converted into 3-bit symbols {C(0) … C(227)} according to table 1 in 3GPP TS 45.004, the symbol C(k) depends on c'(3k+2), c'(3k+1) and c'(3k) for k=0,1,…,227.

The interleaving is done as specified for the TCH/HS in subclause 3.2.3. The difference is that the interleaving is done by symbols instead of single bits, reusing the existing interleaving tables.

3.15.8.4 Mapping on a Burst

The mapping is done as specified for the TCH/HS in subclause 3.2.4 with exception that it is done by symbols instead of single bits.

3.15.9 RATSCCH_DATA

This frame contains the RATSCCH data and an inband channel. The RATSCCH data consists of 35 bits. The in-band data id(0,1) represents Mode Indication or Mode Command/Mode Request depending on the current frame number.

3.15.9.1 Coding of in-band data

The coding of in-band data is done as specified for the RATSCCH_DATA frame at half rate in subclause 3.10.9.1.

3.15.9.2 Parity and convolutional encoding for the RATSCCH message

The parity and convolutional encoding for the RATSCCH message are done as specified for the RATSCCH_DATA frame at half rate in subclause 3.10.9.2.

3.15.9.3 Interleaving

Before interleaving the bits are repeated 3 times:

c'(3k+2) = c'(3k+1) = c'(3k) = c(k) for k=0,…,227

The interleaving is done as specified for the TCH/HS in subclause 3.2.3. The difference is that the interleaving is done by symbols instead of single bits, reusing the existing interleaving tables.

3.15.9.4 Mapping on a Burst

The mapping is done as specified for the TCH/HS in subclause 3.2.4 with exception that it is done by symbols instead of single bits.