106 |
ETSI ES 201 980 V4.1.2 (2017-04) |
7.4Signal constellations and mapping
The mapping strategy for each OFDM cell is dependent of the assignment to the channel (FAC, SDC and MSC) and the robustness mode. All data cells are either 4-QAM, 16-QAM or 64-QAM.
The default method for mapping shall be performed according to figures 26 to 30.
The y'i denotes the bits representing a complex modulation symbol z.
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Im{z} |
64 - QAM |
q0 q1 q2 |
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7a |
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5a |
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0 |
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3a |
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1a |
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Re{z} |
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-7a |
-5a |
-3a |
-1a |
1a |
3a |
5a |
7a |
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-1a |
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1 |
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-3a |
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-5a |
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-7a |
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i0 |
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i1 |
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0 |
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i2 |
1 |
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1 |
1 |
0 |
0 |
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0 |
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Bit ordering: {i0 i1 i2 q0 q1 q2} = {y’0 y’1 y’2 y’3 y’4 y’5}
Figure 26: SM 64-QAM mapping with corresponding bit pattern
ETSI
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107 |
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ETSI ES 201 980 V4.1.2 (2017-04) |
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Im{z} |
64 - QAM |
q0 q1 q2 |
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7a |
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0 |
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5a |
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3a |
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0 |
0 1 |
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1a |
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Re{z} |
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-7a |
-5a |
-3a |
-1a |
1a |
3a |
5a |
7a |
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-1a |
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1 |
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-3a |
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1 0 |
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-5a |
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-7a |
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i0 |
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i1 |
1 |
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0 |
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1 |
0 |
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i2 |
1 |
1 |
0 |
0 |
1 |
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Bit ordering: {i 0 i1 i2 q0 q1 q2} = {y’0 y’1 y’2 y’3 y’4 y’5}
Figure 27: HMsym 64-QAM mapping with corresponding bit pattern
ETSI
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108 |
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ETSI ES 201 980 V4.1.2 (2017-04) |
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Im{z} |
64 - QAM |
q0 q1 q2 |
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7a |
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5a |
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3a |
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Re{z} |
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-7a |
-5a |
-3a |
-1a |
1a |
3a |
5a |
7a |
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-1a |
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-3a |
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-5a |
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-7a |
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i0 |
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i1 |
1 |
0 |
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0 |
1 |
0 |
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0 |
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i2 |
1 |
1 |
0 |
0 |
1 |
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0 |
0 |
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Bit ordering: {i 0 i1 i2 q0 q1 q2} = {y’0 y’1 y’2 y’3 y’4 y’5}
Figure 28: HMmix 64-QAM mapping with corresponding bit pattern
ETSI
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109 |
ETSI ES 201 980 V4.1.2 (2017-04) |
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Im{z} |
q0 q1 |
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16 - QAM |
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3a |
0 |
0 |
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1a |
1 |
0 |
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Re{z} |
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-3a |
-1a |
1a |
3a |
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-1a |
0 |
1 |
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-3a |
1 |
1 |
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i0 |
1 |
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1 |
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i1 |
1 |
1 |
0 |
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Bit ordering: {i0 i1 q0 q1} = {y’0 y’1 y’2 y’3}
Figure 29: SM 16-QAM mapping with corresponding bit pattern
4-QAM
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Im{z} |
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q0 |
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1a |
0 |
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Re{z} |
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-1a |
1a |
1 |
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-1a |
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i0 |
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0 |
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Bit ordering: {i0 q0} = {y’0 y’1}
Figure 30: SM 4-QAM mapping with corresponding bit pattern
NOTE: Left hand bit is the first in time.
For 64-QAM, the normalization factor is a = |
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1 |
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42 |
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For 16-QAM, the normalization factor is a = |
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1 |
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10 |
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For 4-QAM, the normalization factor is a = |
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1 |
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2 |
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ETSI