5.5.2 Demodulation reference signal
36.2113GPPEvolved Universal Terrestrial Radio Access (E-UTRA)Physical channels and modulationRelease 17TS
5.5.2.1 Demodulation reference signal for PUSCH
5.5.2.1.1 Reference signal sequence
The PUSCH demodulation reference signal sequence 
associated with layer 
is defined by
where
and 
if
– the higher-layer parameter ul-DMRS-IFDMA is set and the most recent uplink-related DCI contains the Cyclic Shift Field mapping table for DMRS bit field which is set to 1 to indicate the use of Table 5.5.2.1.1-3, or,
– the Cyclic Shift Field mapping table for DMRS bit field is set to 1 in the most recent uplink-related DCI format 7 which indicates the use of Table 5.5.2.1.1-4, or,
– subslot-PUSCH/slot-PUSCH for the transport block is semi-persistently scheduled (i.e. higher layer parameter sps-ConfigUL-STTI is configured, see TS 36.331 [9]), and ifdma-Config-SPS is set.
In all other cases, 
.
Clause 5.5.1 defines the sequence 
where, for PUSCH demodulation reference signal sequence, 
when
– the higher-layer parameter ul-DMRS-IFDMA is set and the most recent uplink-related DCI contains the Cyclic Shift Field mapping table for DMRS bit field which is set to 1 to indicate the use of Table 5.5.2.1.1-3, or,
– the Cyclic Shift Field mapping table for DMRS bit field is set to 1 in the most recent uplink-related DCI format 7 which indicates the use of Table 5.5.2.1.1-4, or,
– subslot-PUSCH/slot-PUSCH for the transport block is semi-persistently scheduled (i.e. higher layer parameter sps-ConfigUL-STTI is configured, see TS 36.331 [9]), and ifdma-Config-SPS is set.
In all other cases, 
.
The orthogonal sequence 
is given by 
for subslot-PUSCH/slot-PUSCH. In all other cases, it is given by 
for DCI format 0 if the higher-layer parameter Activate-DMRS-with OCC is not set or if the temporary C-RNTI was used to transmit the most recent uplink-related DCI for the transport block associated with the corresponding PUSCH transmission. Otherwise,
– if higher-layer parameter ul-DMRS-IFDMA is not set, 
is given by Table 5.5.2.1.1-1 using the cyclic shift field in the most recent uplink-related DCI [3],
– if higher-layer parameter ul-DMRS-IFDMA is set and the Cyclic Shift Field mapping table for DMRS bit field is not present in the most recent uplink-related DCI, 
is given by Table 5.5.2.1.1-1 using the cyclic shift field in the most recent uplink-related DCI,
– if higher-layer parameter ul-DMRS-IFDMA is set and the Cyclic Shift Field mapping table for DMRS bit field is present in the most recent uplink-related DCI, 
is given by Table 5.5.2.1.1-1 using the cyclic shift field in the most recent uplink-related DCI when the Cyclic Shift Field mapping table for DMRS bit field is set to 0, and
– if higher-layer parameter ul-DMRS-IFDMA is set and the Cyclic Shift Field mapping table for DMRS bit field is present in the most recent uplink-related DCI, 
is given by Table 5.5.2.1.1-3 using the cyclic shift field in the most recent uplink-related DCI when the Cyclic Shift Field mapping table for DMRS bit field is set to 1.
The cyclic shift 
in a slot 
is given as 
if the ul-V-SPS-RNTI-r14 was used to transmit the most recent uplink-related DCI for the transport block associated with the corresponding PUSCH transmission. For PUSCH transmissions not using sub-PRB allocations, if pusch-CyclicShift in higher layer parameter PUR-PUSCH-Config is configured, then for PUSCH (re)transmission corresponding to preconfigured uplink resource it provides the value of and the cyclic shift 
in a slot 
is given as 
.
Otherwise, the cyclic shift 
in a slot 
is given as 
with
where the value of 
is given by Table 5.5.2.1.1-2 according to the parameter cyclicShift provided by higher layers. For non-BL/CE UEs 
is given using the most recent uplink-related DCI TSÂ 36.212 [3] for the transport block associated with the corresponding PUSCH transmission, except for subslot-PUSCH/slot-PUSCH, as follows:
– if the higher-layer parameter ul-DMRS-IFDMA is not set, 
is given by Table 5.5.2.1.1-1 using the cyclic shift field in the most recent uplink-related DCI,
– if higher-layer parameter ul-DMRS-IFDMA is set and the Cyclic Shift Field mapping table for DMRS bit field is not present in the most recent uplink-related DCI, 
is given by Table 5.5.2.1.1-1 using the cyclic shift field in the most recent uplink-related DCI,
– if higher-layer parameter ul-DMRS-IFDMA is set and the Cyclic Shift Field mapping table for DMRS bit field is present in the most recent uplink-related DCI, 
is given by Table 5.5.2.1.1-1 using the cyclic shift field in the most recent uplink-related DCI when the Cyclic Shift Field mapping table for DMRS bit field is set to 0, and
– if higher-layer parameter ul-DMRS-IFDMA is set and the Cyclic Shift Field mapping table for DMRS bit field is present in the most recent uplink-related DCI, 
is given by Table 5.5.2.1.1-3 using the cyclic shift field in the most recent uplink-related DCI when the Cyclic Shift Field mapping table for DMRS bit field is set to 1.
For subslot-PUSCH/slot-PUSCH for non-BL/CE UEs, 
is given by Table 5.5.2.1.1-4, using the cyclic shift field in the most recent uplink-related DCI. If the Cyclic Shift Field mapping table for DMRS bit field is set to 0, 
in Table 5.5.2.1.1-4 is ignored. If the Cyclic Shift Field mapping table for DMRS bit field is set to 1, both 
and 
are given by Table 5.5.2.1.1-4.
For BL/CE UEs, a cyclic shift field of ‘000’ shall be assumed when determining 
from Table 5.5.2.1.1-1.
For subframe-based PUSCH transmission, the first row of Table 5.5.2.1.1-1 shall be used to obtain 
and 
if there is no uplink-related DCI for the same transport block associated with the corresponding PUSCH transmission, and
– if the initial PUSCH for the same transport block is semi-persistently scheduled and cyclicShiftSPS is not configured, or
– if the initial PUSCH for the same transport block is scheduled by the random-access response grant.
An exception applies if subframe-based PUSCH for the transport block is semi-persistently scheduled and the higher-layer parameter cyclicShiftSPS is configured. In this case, the value of is given by Table 5.5.2.1.1-1 according to the higher-layer parameter cyclicShiftSPS.
An exception applies if subslot-PUSCH/slot-PUSCH for the transport block is semi-persistently scheduled (see TS 36.331, sps-ConfigUL-sTTI). In this case:
– 
is given by Table 5.5.2.1.1-1 according to the higher-layer parameter cyclicShiftSPS-STTI if the higher layer parameter ifdma-Config-SPS is not set, and,
– 
and 
are given by Table 5.5.2.1.1-3 according to the higher-layer parameter cyclicShiftSPS-STTI if the higher layer parameter ifdma-Config-SPS is set.
The quantity 
is given by
where the pseudo-random sequence 
is defined by clause 7.2. The application of 
is cell-specific. The pseudo-random sequence generator shall be initialized with 
at the beginning of each radio frame. The quantity 
is given by 
if no value for 
is configured by higher layers for PUSCH/(S)PUCCH format 4/PUCCH format 5 or the PUSCH transmission corresponds to a Random Access Response Grant or a retransmission of the same transport block as part of the contention based random access procedure, otherwise it is given by 
.
The vector of reference signals shall be precoded according to
where 
is the number of antenna ports used for PUSCH transmission.
For PUSCH transmission using a single antenna port, 
, 
and 
.
For spatial multiplexing, 
or 
and the precoding matrix 
shall be identical to the precoding matrix used in clause 5.3.3A.2 for precoding of the PUSCH in the same subframe.
Table 5.5.2.1.1-1: Mapping of Cyclic Shift Field in uplink-related DCI format to 
and 
|
Cyclic Shift Field in uplink-related DCI format [3] |
|
|
||||||
|
|
|
|
|
|
|
|
|
|
|
000 |
0 |
6 |
3 |
9 |
|
|
|
|
|
001 |
6 |
0 |
9 |
3 |
|
|
|
|
|
010 |
3 |
9 |
6 |
0 |
|
|
|
|
|
011 |
4 |
10 |
7 |
1 |
|
|
|
|
|
100 |
2 |
8 |
5 |
11 |
|
|
|
|
|
101 |
8 |
2 |
11 |
5 |
|
|
|
|
|
110 |
10 |
4 |
1 |
7 |
|
|
|
|
|
111 |
9 |
3 |
0 |
6 |
|
|
|
|
Table 5.5.2.1.1-2: Mapping of cyclicShift to 
values
|
cyclicShift |
|
|
0 |
0 |
|
1 |
2 |
|
2 |
3 |
|
3 |
4 |
|
4 |
6 |
|
5 |
8 |
|
6 |
9 |
|
7 |
10 |
Table 5.5.2.1.1-3: Mapping of Cyclic Shift Field in uplink-related DCI format to 
, 
, and 
|
Cyclic Shift Field in uplink-related DCI format [3] |
|
|
|
||||||
 |
 |
 |
 |
 |
 |
 |
 |
||
|
000 |
1 |
0 |
6 |
3 |
9 |
 |
 |
 |
 |
|
001 |
1 |
6 |
0 |
9 |
3 |
 |
 |
 |
 |
|
010 |
1 |
3 |
9 |
6 |
0 |
 |
 |
 |
|
|
011 |
0 |
4 |
10 |
7 |
1 |
 |
 |
 |
 |
|
100 |
0 |
2 |
8 |
5 |
11 |
 |
|
 |
 |
|
101 |
0 |
8 |
2 |
11 |
5 |
 |
 |
 |
 |
|
110 |
0 |
10 |
4 |
1 |
7 |
|
 |
 |
 |
|
111 |
1 |
9 |
3 |
0 |
6 |
 |
 |
 |
 |
Table 5.5.2.1.1-4: 
for subslot-PUSCH/slot-PUSCH
|
Cyclic Shift Field in uplink-related DCI format [3] |
|
|
||||||
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
6 |
3 |
9 |
0 |
0 |
1 |
1 |
|
1 |
6 |
0 |
9 |
3 |
1 |
1 |
0 |
0 |
5.5.2.1.2 Mapping to physical resources
For each antenna port used for transmission of the PUSCH, the sequence 
shall be multiplied with the amplitude scaling factor 
and mapped in sequence starting with 
to the resource blocks.
– 
when either
– the higher-layer parameter ul-DMRS-IFDMA is set and the most recent uplink-related DCI contains the Cyclic Shift Field mapping table for DMRS bit field which is set to 1 to indicate the use of Table 5.5.2.1.1-3, or
– the Cyclic Shift Field mapping table for DMRS bit field is set to 1 in the most recent uplink-related DCI format 7 which indicates the use of Table 5.5.2.1.1-4, and
– 
otherwise.
If higher-layer parameter ul-DMRS-IFDMA is set and the most recent uplink-related DCI contains the Cyclic Shift Field mapping table for DMRS bit field which is set to 1 to indicate the use of Table 5.5.2.1.1-3, the mapping to resource elements 
, with 
for normal cyclic prefix and 
for extended cyclic prefix, in the subframe shall be in increasing order of first 
for all values of satisfying 
, then the slot number. The quantity 
is given by Table 5.5.2.1.1-3 using the cyclic shift field in the most recent uplink-related DCI.
In case of slot-PUSCH, the mapping to resource elements 
, with 
for normal cyclic prefix, in the slot of the subframe where slot-PUSCH is transmitted shall be in increasing order of first 
for all values of 
, except if the Cyclic Shift Field mapping table for DMRS bit field is set to 1 in the most recent uplink-related DCI format 7, which indicates the use of Table 5.5.2.1.1-4. In this case the mapping to resource element shall be in increasing order of first 
only for values of 
satisfying 
.
In case of subslot-PUSCH, the mapping to resource elements 
, in the subframe shall be in increasing order of first 
for all values of 
, except if the Cyclic Shift Field mapping table for DMRS bit field is set to 1 in the most recent uplink-related DCI format 7, which indicates the use of Table 5.5.2.1.1-4. In this case the mapping to resource element shall be in increasing order of first 
only for values of 
satisfying 
. The value of 
depends on the uplink subslot number and the DMRS-pattern field in the most recent uplink-related DCI, according to Table 5.5.2.1.2-1, or according to Table 5.5.2.1.2-2 in case of semi-persistent scheduling of subslot-PUSCH (i.e. higher layer patameter sps-ConfigUL-sTTI-r15 is configured, se TS 36.331 [9]) and with a configured periodicity of 1 subslot (i.e. semiPersistSchedIntervalUL-STTI-r15 set to sTTI1). In case of subslot-PUSCH and semi-persistent scheduling with a configured periodicity longer than 1 subslot, the mapping shall start at symbol 
according to the first row of Table 5.5.2.1.2-2 (i.e. equivalent to a signalling of DMRS-pattern field set to ’00’). In case no value of 
is defined for the uplink subslot number, and in case no valid starting symbol index (see table 5.3.4-1), no reference signal is transmitted associated with the uplink-related DCI format.
Table 5.5.2.1.2-1: The quantity 
for subslot-PUSCH
|
DMRS-pattern field in uplink-related DCI format [3] |
Uplink subslot number |
|||||
|
#0 |
#1 |
#2 |
#3 |
#4 |
#5 |
|
|
00 |
0 |
3 |
5 |
0 |
2 |
4 |
|
01 |
2 |
4 |
– |
1 |
3 |
– |
|
10 |
– |
– |
– |
2 |
– |
– |
|
11 |
– |
5 |
– |
– |
4 |
– |
Table 5.5.2.1.2-2: The quantity 
for subslot-PUSCH for semi-persistent scheduling
|
DMRS-pattern field in uplink-related DCI format [3] |
Uplink subslot number |
|||||
|
#0 |
#1 |
#2 |
#3 |
#4 |
#5 |
|
|
00 |
0 |
3 |
5 |
0 |
2 |
4 |
|
10 |
0 |
5 |
5 |
2 |
2 |
4 |
For all other cases, the set of physical resource blocks used in the mapping process and the relation between the index 
and the antenna port number 
shall be identical to the corresponding PUSCH transmission as defined in clause 5.3.4.
The mapping to resource elements 
, with 
, or with 
according to Table 5.5.2.1.2-1 for subslot-PUSCH, for normal cyclic prefix and 
for extended cyclic prefix, in the subframe shall be in increasing order of first
, then the slot number, except for slot-PUSCH and subslot-PUSCH where the reference signal is only mapped to the slot where the slot-PUSCH/subslot-PUSCH is transmitted). No DM-RS shall be transmitted in UpPTS if dmrsLess-UpPts is set to true.
For BL/CE UEs, if uplink resource reservation is enabled for the UE as specified in [9], and the Resource reservation field in the DCI is set to 1, then in case of PUSCH transmission with 
associated with C-RNTI or SPS C-RNTI using UE-specific MPDCCH search space including PUSCH transmission without a corresponding MPDCCH,
– In a subframe that is fully reserved as defined in clause 8.0 in [4], the demodulation reference signal transmission is postponed until the next BL/CE uplink subframe that is not fully reserved.
– In a subframe that is partially reserved, the demodulation reference signal transmission in a SC-FDMA symbol that is reserved is dropped.
5.5.2.1A Demodulation reference signal for PUSCH with sub-PRB allocations
5.5.2.1A.1 Reference signal sequence using modulation schemes other than π/2-BPSK
The reference signal sequence for 
is defined by a cyclic shift of a base sequence according to
,
where is given by Tables 5.5.2.1A.1-1 and 5.5.2.1A.1-2 for and , respectively. The cyclic shift is derived from higher layer parameters threeTone-CyclicShift and sixTone-CyclicShift, respectively, as defined in Table 5.5.2.1A.1-3.
If group hopping is enabled, the base sequence index is given by clause 5.5.2.1A.3.
If group hopping is not enabled, the base sequence index is given by
– for
– for
Table 5.5.2.1A.1-1: Definition of for
|
|
|||
|
0 |
1 |
-3 |
-3 |
|
1 |
1 |
-3 |
-1 |
|
2 |
1 |
-3 |
3 |
|
3 |
1 |
-1 |
-1 |
|
4 |
1 |
-1 |
1 |
|
5 |
1 |
-1 |
3 |
|
6 |
1 |
1 |
-3 |
|
7 |
1 |
1 |
-1 |
|
8 |
1 |
1 |
3 |
|
9 |
1 |
3 |
-1 |
|
10 |
1 |
3 |
1 |
|
11 |
1 |
3 |
3 |
Table 5.5.2.1A.1-2: Definition of for
|
|
|
|||||
|
0 |
1 |
1 |
1 |
1 |
3 |
-3 |
|
1 |
1 |
1 |
3 |
1 |
-3 |
3 |
|
2 |
1 |
-1 |
-1 |
-1 |
1 |
-3 |
|
3 |
1 |
-1 |
3 |
-3 |
-1 |
-1 |
|
4 |
1 |
3 |
1 |
-1 |
-1 |
3 |
|
5 |
1 |
-3 |
-3 |
1 |
3 |
1 |
|
6 |
-1 |
-1 |
1 |
-3 |
-3 |
-1 |
|
7 |
-1 |
-1 |
-1 |
3 |
-3 |
-1 |
|
8 |
3 |
-1 |
1 |
-3 |
-3 |
3 |
|
9 |
3 |
-1 |
3 |
-3 |
-1 |
1 |
|
10 |
3 |
-3 |
3 |
-1 |
3 |
3 |
|
11 |
-3 |
1 |
3 |
1 |
-3 |
-1 |
|
12 |
-3 |
1 |
-3 |
3 |
-3 |
-1 |
|
13 |
-3 |
3 |
-3 |
1 |
1 |
-3 |
Table 5.5.2.1A.1-3: Definition of
 |
|
||
|
threeTone-CyclicShift |
 |
sixTone-CyclicShift |
 |
|
0 |
 |
0 |
 |
|
1 |
|
1 |
 |
|
2 |
|
2 |
 |
|
– |
– |
3 |
 |
5.5.2.1A.2 Reference signal sequence using π/2-BPSK modulation scheme
For using π/2-BPSK modulation scheme, is used to determine which 2 of 3 subcarriers will be used:
– 0 indicates that the two subcarriers having the lowest indices among the three allocated are utilized.
– 1 indicates that the two subcarriers having the highest indices among the three allocated are utilized.
The reference signal sequences and for using 2 out of 3 subcarriers are defined by
where the binary sequence is defined by clause 7.2 and shall be initialised with at the start of the PUSCH transmission using sub-PRB allocations for BL/CE UEs. The quantity is given by Table 5.5.2.1A.2-1 where if group hopping is not enabled, and by clause 5.5.2.1A.3 if group hopping is enabled for PUSCH using sub-PRB allocations for BL/CE UEs.
Table 5.5.2.1A.2-1: Definition of
 |
 |
|||||||||||||||
|
0 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
|
1 |
1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
-1 |
|
2 |
1 |
1 |
-1 |
-1 |
1 |
1 |
-1 |
-1 |
1 |
1 |
-1 |
-1 |
1 |
1 |
-1 |
-1 |
|
3 |
1 |
-1 |
-1 |
1 |
1 |
-1 |
-1 |
1 |
1 |
-1 |
-1 |
1 |
1 |
-1 |
-1 |
1 |
|
4 |
1 |
1 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
1 |
1 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
|
5 |
1 |
-1 |
1 |
-1 |
-1 |
1 |
-1 |
1 |
1 |
-1 |
1 |
-1 |
-1 |
1 |
-1 |
1 |
|
6 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
1 |
1 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
1 |
1 |
|
7 |
1 |
-1 |
-1 |
1 |
-1 |
1 |
1 |
-1 |
1 |
-1 |
-1 |
1 |
-1 |
1 |
1 |
-1 |
|
8 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
|
9 |
1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
-1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
|
10 |
1 |
1 |
-1 |
-1 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
1 |
1 |
-1 |
-1 |
1 |
1 |
|
11 |
1 |
-1 |
-1 |
1 |
1 |
-1 |
-1 |
1 |
-1 |
1 |
1 |
-1 |
-1 |
1 |
1 |
-1 |
|
12 |
1 |
1 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
1 |
1 |
1 |
1 |
|
13 |
1 |
-1 |
1 |
-1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
-1 |
1 |
1 |
-1 |
1 |
-1 |
|
14 |
1 |
1 |
-1 |
-1 |
-1 |
-1 |
1 |
1 |
-1 |
-1 |
1 |
1 |
1 |
1 |
-1 |
-1 |
|
15 |
1 |
-1 |
-1 |
1 |
-1 |
1 |
1 |
-1 |
-1 |
1 |
1 |
-1 |
1 |
-1 |
-1 |
1 |
The reference signal sequences for PUSCH using sub-PRB allocations for BL/CE UEs is given by clause 5.3.3, where 
and 
correspond to the complex-valued symbols at the input of the transform precoding. The resulting complex-valued symbols at the output of the transform precoding correspond to the sequence 
which is mapped to physical resources as described in clause 5.5.2.1A.4.
5.5.2.1A.3 Group hopping
For the reference signal for PUSCH transmission using sub-PRB allocations for BL/CE UEs, sequence-group hopping can be enabled where the sequence-group number in slot of a radio frame is defined by a group hopping pattern and a sequence-shift pattern according to
where the number of reference signal sequences available for each resource unit size, is given by Table 5.5.2.1A.3-1.
Table 5.5.2.1A.3-1: Definition of
|
Modulation Scheme |
||
|
Ï€/2-BPSK |
3 |
16 |
|
QPSK |
3 |
12 |
|
6 |
14 |
Sequence-group hopping can be enabled or disabled as described in clause 5.5.1.3.
The group-hopping pattern is given by
where for 
using QPSK modulation scheme. When 
using π/2-BPSK modulation scheme, for frame structure type 1, is the slot number of the first slot of the resource unit, and for frame structure type 2, is the frame number of the first slot of the resource unit. The pseudo-random sequence is defined by clause 7.2. The pseudo-random sequence generator shall be initialized with at the beginning of the resource unit for using π/2-BPSK modulation scheme and in every even slot for 
using QPSK modulation scheme.
The sequence-shift pattern is given by
where .
5.5.2.1A.4 Mapping to physical resources
The sequence shall be multiplied with the amplitude scaling factor and mapped in sequence starting with to the sub-carriers.
The set of sub-carriers used in the mapping process shall be identical to the corresponding PUSCH transmissions using sub-PRB allocations for BL/CE UEs as defined in clause 5.3.4.
The mapping to resource elements shall be in increasing order of first, then , and finally the slot number. The value of the symbol index in a slot is 3.
For BL/CE UEs, if uplink resource reservation is enabled for the UE as specified in [9], and the Resource reservation field in the DCI is set to 1, then in case of PUSCH transmission with 
associated with C-RNTI or SPS C-RNTI using UE-specific MPDCCH search space including PUSCH transmission without a corresponding MPDCCH,
– In a subframe that is fully reserved as defined in clause 8.0 in [4], the demodulation reference signal transmission is postponed until the next BL/CE uplink subframe that is not fully reserved.
– In a subframe that is partially reserved, the demodulation reference signal transmission in a SC-FDMA symbol that is reserved is dropped.
5.5.2.2 Demodulation reference signal for PUCCH
5.5.2.2.1 Reference signal sequence
The PUCCH demodulation reference signal sequence 
for PUCCH formats 1, 1a, 1b, 2, 2a, 2b, and 3 is defined by
where
and 
is the number of antenna ports used for PUCCH transmission. For PUCCH formats 2a and 2b, 
equals 
for 
, where 
is defined in clause 5.4.2. For all other cases, 
The sequence 
is given by clause 5.5.1 with 
and 
where the expression for the cyclic shift 
is determined by the PUCCH format.
For PUCCH formats 1, 1a and 1b, 
is given by
where 
, 
, 
and 
are defined by clause 5.4.1. The number of reference symbols per slot 
and the sequence 
are given by Table 5.5.2.2.1-1 and 5.5.2.2.1-2, respectively.
For PUCCH formats 2, 2a and 2b, 
is defined by clause 5.4.2. The number of reference symbols per slot 
and the sequence 
are given by Table 5.5.2.2.1-1 and 5.5.2.2.1-3, respectively.
For PUCCH format 3, 
is given by
where 
is given by Table 5.5.2.2.1-4 and 
and 
for the first and second slot in a subframe, respectively, are obtained from clause 5.4.2A. The number of reference symbols per slot 
and the sequence 
are given by Table 5.5.2.2.1-1 and 5.5.2.2.1-3, respectively.
Table 5.5.2.2.1-1: Number of PUCCH demodulation reference symbols per slot
|
PUCCH format |
Normal cyclic prefix |
Extended cyclic prefix |
|
1, 1a, 1b |
3 |
2 |
|
2, 3 |
2 |
1 |
|
2a, 2b |
2 |
N/A |
Table 5.5.2.2.1-2: Orthogonal sequences 
for PUCCH formats 1, 1a and 1b
|
Sequence index |
Normal cyclic prefix |
Extended cyclic prefix |
|
0 |
|
|
|
1 |
|
|
|
2 |
|
N/A |
Table 5.5.2.2.1-3: Orthogonal sequences 
for PUCCH formats 2, 2a, 2b and 3.
|
Normal cyclic prefix |
Extended cyclic prefix |
|
|
|
Table 5.5.2.2.1-4: Relation between 
and 
for PUCCH format 3.
|
|
|
|
|
|
|
|
|
0 |
0 |
0 |
|
1 |
3 |
3 |
|
2 |
6 |
6 |
|
3 |
8 |
9 |
|
4 |
10 |
N/A |
The PUCCH demodulation reference signal sequence 
for PUCCH formats 4 and 5 is defined by
where
and
Clause 5.5.1 defines the sequence 
where 
.
The cyclic shift 
in a slot 
is given as 
with
where the values of 
and 
are given by Clause 5.5.2.1.1 and
with 
obtained as described in clause 5.4.2C.
5.5.2.2.2 Mapping to physical resources
The sequence 
shall be multiplied with the amplitude scaling factor 
and mapped in sequence starting with 
to resource elements
on antenna port 
. The mapping shall be in increasing order of first
, then 
and finally the slot number. The set of values for 
and the relation between the index 
and the antenna port number 
shall be identical to the values used for the corresponding PUCCH transmission. The values of the symbol index 
in a slot are given by Table 5.5.2.2.2-1.
Table 5.5.2.2.2-1: Demodulation reference signal location for different PUCCH formats.
|
PUCCH format |
Set of values for |
|
|
Normal cyclic prefix |
Extended cyclic prefix |
|
|
1, 1a, 1b |
2, 3, 4 |
2, 3 |
|
2, 3 |
1, 5 |
3 |
|
2a, 2b |
1, 5 |
N/A |
|
4,5 |
3 |
2 |
For BL/CE UEs, if uplink resource reservation is enabled for the UE as specified in [9], then in case of PUCCH transmission with 
associated with C-RNTI or SPS C-RNTI using UE-specific MPDCCH search space including PUCCH transmission without a corresponding MPDCCH,
– In a subframe that is fully reserved as defined in clause 8.0 in [4], the demodulation reference signal transmission is postponed until the next BL/CE uplink subframe that is not fully reserved.
– In a subframe that is partially reserved, the demodulation reference signal transmission in a SC-FDMA symbol that is reserved is dropped.
5.5.2.3 Demodulation reference signal for SPUCCH
5.5.2.3.1 Reference signal sequence
The SPUCCH demodulation reference signal sequence 
for subslot-SPUCCH format 4, and, slot‑SPUCCH formats 1, 1a, 1b, 3 and 4 is as defined for 
in clause 5.5.2.2.1 for PUCCH format 1, 1a, 1b, 2, 2a, 2b and 3, using the parameter settings in Table 5.5.2.3.1-1, and with the number of reference symbols 
replaced by 
and given by Table 5.5.2.3.1-2.
NOTE: Subslot-SPUCCH format 1/1a/1b does not employ a reference signal based design.
The sequence 
is given by clause 5.5.1 with 
, where the expression for the cyclic shift 
is determined depending on the SPUCCH format, see table 5.5.2.3.1-3.
Table 5.5.2.3.1-1: Parameters for SPUCCH demodulation reference signal
|
SPUCCH format |
Frequency hopping |
|
|
|
|
|
|
Slot |
1, 1a, 1b |
Disabled |
0 |
12 |
See Table 5.5.2.2.1-2 for normal cyclic prefix |
1 |
|
Enabled |
0 |
12 |
1 |
1 |
||
|
3 |
Disabled |
0 |
12 |
See clause 5.5.2.2.2 |
1 |
|
|
4 |
Enabled |
0 |
|
1 |
1 |
|
|
Subslot |
4 |
Disabled |
0 |
|
1 |
1 |
Table 5.5.2.3.1-2: Number of SPUCCH demodulation reference symbols 
per slot or per subslot
|
SPUCCH format |
Frequency hopping |
|
|
|
Slot |
1, 1a, 1b |
Enabled or disabled |
3 |
|
3 |
Disabled |
2 |
|
|
4 |
Enabled |
2 |
|
|
Subslot |
4 |
Disabled |
1 |
Table 5.5.2.3.1-3: 
|
SPUCCH format |
Frequency hopping |
|
|
|
Slot |
1, 1a, 1b |
Enabled or disabled |
see |
|
3 |
Disabled |
see |
|
|
4 |
Enabled |
see |
|
|
Subslot |
4 |
Disabled |
see |
in clause 5.4A.2
for PUCCH format 3 in clause 5.5.2.2.1 and determining 
and 
in clause 5.4A.3.1 
for PUCCH format 4 in clause 5.5.2.2.1
for PUCCH format 4 in clause 5.5.2.2.15.5.2.3.2 Mapping to physical resources
The sequence 
shall be multiplied with the amplitude scaling factor 
and mapped in sequence starting with 
to resource elements 
on antenna port 
. The mapping shall be in increasing order of first
, then 
. The set of values for 
and the relation between the index 
and the antenna port number 
shall be identical to the values used for the corresponding SPUCCH transmission. The values of the symbol index 
in a slot and a subslot are given by Table 5.5.2.3.2-1 and Table 5.5.2.3.2-2 respectively.
Table 5.5.2.3.2-1: Demodulation reference signal location for different slot-SPUCCH formats
|
SPUCCH format |
Frequency hopping |
Slot |
Set of values for |
|
1, 1a, 1b |
Enabled |
1st |
1, 4, 5 |
|
2nd |
1, 2, 5 |
||
|
Disabled |
1st and 2nd |
2, 3, 4 |
|
|
3 |
Disabled |
1st and 2nd |
1, 5 |
|
4 |
Enabled |
1st and 2nd |
1, 5 |
Table 5.5.2.3.2-2: Demodulation reference signal location for different subslot-SPUCCH formats
|
SPUCCH format |
Subslot number in subframe |
Slot |
|
|
4 |
0 |
1st |
0 |
|
1 |
1st |
3 |
|
|
2 |
1st |
5 |
|
|
3 |
2nd |
0 |
|
|
4 |
2nd |
2 |
|
|
5 |
2nd |
4 |
