7.1 Modulation mapper

36.2113GPPEvolved Universal Terrestrial Radio Access (E-UTRA)Physical channels and modulationRelease 17TS

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

The modulation mapper takes binary digits, 0 or 1, as input and produces complex-valued modulation symbols, x as output.

7.1.1 BPSK

In case of BPSK modulation, a single bit, , is mapped to a complex-valued modulation symbol x=I+jQ according to Table 7.1.1-1.

Table 7.1.1-1: BPSK modulation mapping

	I	Q
0
1

7.1.2 QPSK

In case of QPSK modulation, pairs of bits, , are mapped to complex-valued modulation symbols x according to Table 7.1.2-1 where unless "MUST interference presence and power ratio (MUSTIdx)" is signalled in the associated DCI and is not ’00’ in which case where and are determined from MUSTIdx using Table 7.1.2-2, and each is selected by eNB independently of .

Table 7.1.2-1: QPSK modulation mapping

	I	Q
00
01
10
11

Table 7.1.2-2: Values for and for QPSK

MUSTIdx
01
10
11

7.1.3 16QAM

In case of 16QAM modulation, quadruplets of bits, , are mapped to complex-valued modulation symbols x according to Table 7.1.3-1 where unless "MUST interference presence and power ratio (MUSTIdx)" is signalled in the associated DCI and is not ’00’ in which case where and are determined from MUSTIdx using Table 7.1.3-2, and each is selected by eNB independently of .

Table 7.1.3-1: 16QAM modulation mapping

	I	Q
0000
0001
0010
0011
0100
0101
0110
0111
1000
1001
1010
1011
1100
1101
1110
1111

Table 7.1.3-2: Values for and for 16QAM

MUSTIdx
01
10
11

7.1.4 64QAM

In case of 64QAM modulation, hextuplets of bits, , are mapped to complex-valued modulation symbols x according to Table 7.1.4-1 where unless "MUST interference presence and power ratio (MUSTIdx)" is signalled in the associated DCI and is not ’00’ in which case where and are determined from MUSTIdx using Table 7.1.4-2, and each is selected by eNB independently of .

Table 7.1.4-1: 64QAM modulation mapping

	I	Q		I	Q
000000			100000
000001			100001
000010			100010
000011			100011
000100			100100
000101			100101
000110			100110
000111			100111
001000			101000
001001			101001
001010			101010
001011			101011
001100			101100
001101			101101
001110			101110
001111			101111
010000			110000
010001			110001
010010			110010
010011			110011
010100			110100
010101			110101
010110			110110
010111			110111
011000			111000
011001			111001
011010			111010
011011			111011
011100			111100
011101			111101
011110			111110
011111			111111

Table 7.1.4-2: Values for and for 64QAM

MUSTIdx
01
10
11

7.1.5 256QAM

In case of 256QAM modulation, octuplets of bits, , are mapped to complex-valued modulation symbols according to Table 7.1.5-1.

Table 7.1.5-1: 256QAM modulation mapping

	I	Q		I	Q		I	Q		I	Q
00000000	5	5	01000000	5	-5	10000000	-5	5	11000000	-5	-5
00000001	5	7	01000001	5	-7	10000001	-5	7	11000001	-5	-7
00000010	7	5	01000010	7	-5	10000010	-7	5	11000010	-7	-5
00000011	7	7	01000011	7	-7	10000011	-7	7	11000011	-7	-7
00000100	5	3	01000100	5	-3	10000100	-5	3	11000100	-5	-3
00000101	5	1	01000101	5	-1	10000101	-5	1	11000101	-5	-1
00000110	7	3	01000110	7	-3	10000110	-7	3	11000110	-7	-3
00000111	7	1	01000111	7	-1	10000111	-7	1	11000111	-7	-1
00001000	3	5	01001000	3	-5	10001000	-3	5	11001000	-3	-5
00001001	3	7	01001001	3	-7	10001001	-3	7	11001001	-3	-7
00001010	1	5	01001010	1	-5	10001010	-1	5	11001010	-1	-5
00001011	1	7	01001011	1	-7	10001011	-1	7	11001011	-1	-7
00001100	3	3	01001100	3	-3	10001100	-3	3	11001100	-3	-3
00001101	3	1	01001101	3	-1	10001101	-3	1	11001101	-3	-1
00001110	1	3	01001110	1	-3	10001110	-1	3	11001110	-1	-3
00001111	1	1	01001111	1	-1	10001111	-1	1	11001111	-1	-1
00010000	5	11	01010000	5	-11	10010000	-5	11	11010000	-5	-11
00010001	5	9	01010001	5	-9	10010001	-5	9	11010001	-5	-9
00010010	7	11	01010010	7	-11	10010010	-7	11	11010010	-7	-11
00010011	7	9	01010011	7	-9	10010011	-7	9	11010011	-7	-9
00010100	5	13	01010100	5	-13	10010100	-5	13	11010100	-5	-13
00010101	5	15	01010101	5	-15	10010101	-5	15	11010101	-5	-15
00010110	7	13	01010110	7	-13	10010110	-7	13	11010110	-7	-13
00010111	7	15	01010111	7	-15	10010111	-7	15	11010111	-7	-15
00011000	3	11	01011000	3	-11	10011000	-3	11	11011000	-3	-11
00011001	3	9	01011001	3	-9	10011001	-3	9	11011001	-3	-9
00011010	1	11	01011010	1	-11	10011010	-1	11	11011010	-1	-11
00011011	1	9	01011011	1	-9	10011011	-1	9	11011011	-1	-9
00011100	3	13	01011100	3	-13	10011100	-3	13	11011100	-3	-13
00011101	3	15	01011101	3	-15	10011101	-3	15	11011101	-3	-15
00011110	1	13	01011110	1	-13	10011110	-1	13	11011110	-1	-13
00011111	1	15	01011111	1	-15	10011111	-1	15	11011111	-1	-15
00100000	11	5	01100000	11	-5	10100000	-11	5	11100000	-11	-5
00100001	11	7	01100001	11	-7	10100001	-11	7	11100001	-11	-7
00100010	9	5	01100010	9	-5	10100010	-9	5	11100010	-9	-5
00100011	9	7	01100011	9	-7	10100011	-9	7	11100011	-9	-7
00100100	11	3	01100100	11	-3	10100100	-11	3	11100100	-11	-3
00100101	11	1	01100101	11	-1	10100101	-11	1	11100101	-11	-1
00100110	9	3	01100110	9	-3	10100110	-9	3	11100110	-9	-3
00100111	9	1	01100111	9	-1	10100111	-9	1	11100111	-9	-1
00101000	13	5	01101000	13	-5	10101000	-13	5	11101000	-13	-5
00101001	13	7	01101001	13	-7	10101001	-13	7	11101001	-13	-7
00101010	15	5	01101010	15	-5	10101010	-15	5	11101010	-15	-5
00101011	15	7	01101011	15	-7	10101011	-15	7	11101011	-15	-7
00101100	13	3	01101100	13	-3	10101100	-13	3	11101100	-13	-3
00101101	13	1	01101101	13	-1	10101101	-13	1	11101101	-13	-1
00101110	15	3	01101110	15	-3	10101110	-15	3	11101110	-15	-3
00101111	15	1	01101111	15	-1	10101111	-15	1	11101111	-15	-1
00110000	11	11	01110000	11	-11	10110000	-11	11	11110000	-11	-11
00110001	11	9	01110001	11	-9	10110001	-11	9	11110001	-11	-9
00110010	9	11	01110010	9	-11	10110010	-9	11	11110010	-9	-11
00110011	9	9	01110011	9	-9	10110011	-9	9	11110011	-9	-9
00110100	11	13	01110100	11	-13	10110100	-11	13	11110100	-11	-13
00110101	11	15	01110101	11	-15	10110101	-11	15	11110101	-11	-15
00110110	9	13	01110110	9	-13	10110110	-9	13	11110110	-9	-13
00110111	9	15	01110111	9	-15	10110111	-9	15	11110111	-9	-15
00111000	13	11	01111000	13	-11	10111000	-13	11	11111000	-13	-11
00111001	13	9	01111001	13	-9	10111001	-13	9	11111001	-13	-9
00111010	15	11	01111010	15	-11	10111010	-15	11	11111010	-15	-11
00111011	15	9	01111011	15	-9	10111011	-15	9	11111011	-15	-9
00111100	13	13	01111100	13	-13	10111100	-13	13	11111100	-13	-13
00111101	13	15	01111101	13	-15	10111101	-13	15	11111101	-13	-15
00111110	15	13	01111110	15	-13	10111110	-15	13	11111110	-15	-13
00111111	15	15	01111111	15	-15	10111111	-15	15	11111111	-15	-15

7.1.6 1024QAM

In case of 1024QAM modulation, 10-tuplets of bits, , are mapped to complex-valued modulation symbols according to