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US 10,567,210 B2Granted
Method and apparatus for quadrature signal modulation
AssigneeHuawei Technologies Co., Ltd.
InventorsGuido Montorsi, Sergio Benedetto, Yan Xin, Min Yan
Life of this patent
Estimating the term…
Abstract
Methods and apparatus for facilitating wireless communication using digital Quadrature Amplitude Modulation are disclosed. A mapping module electronic component of a wireless communication device utilizes a signal constellation for quadrature modulating a signal for transmission or quadrature demodulating a received signal. The signal constellation includes multiple constellation symbols and associated bit sequences. Specific signal constellations are disclosed. The signal constellations may be obtained through an optimization procedure which accounts for both phase noise and power amplifier nonlinearity.
Claims28
A method for wireless communication using digital quadrature amplitude modulation (QAM), the method comprising:
- translating between constellation symbols and bit sequences corresponding to the constellation symbols using a mapping module electronic component of a wireless communication device, in accordance with a 256-point constellation;
- wherein normalized magnitudes of the constellation symbols in a first quadrant of the 256-point constellation are defined by the following coordinate pairs to at least three decimal places of precision:
- 0.975369
- 1.374032
- 1.481139
- 0.719889
- 1.218020
- 0.537432
- 1.572273
- 1.013574
- 1.187472
- 0.140021
- 1.528894
- 0.437163
- 1.209428
- 0.325388
- 1.451803
- 0.133447
- 1.150324
- 0.991883
- 0.920560
- 1.027887
- 1.130859
- 0.690274
- 0.935148
- 0.791094
- 1.046905
- 0.109020
- 0.905564
- 0.126090
- 0.986845
- 0.392801
- 0.888567
- 0.278893
- 0.311973
- 1.734362
- 0.529664
- 1.037246
- 0.623019
- 0.619800
- 0.545408
- 0.794517
- 0.590997
- 0.100302
- 0.593410
- 0.246925
- 0.607152
- 0.477790
- 0.629036
- 0.343531
- 0.563423
- 1.365187
- 0.710907
- 1.103897
- 0.763953
- 0.637666
- 0.728679
- 0.837901
- 0.699119
- 0.052387
- 0.778520
- 0.167574
- 0.841139
- 0.487476
- 0.768298
- 0.365852
- 0.127333
- 1.155716
- 0.307801
- 1.071269
- 0.054226
- 0.569000
- 0.045338
- 0.681811
- 0.028860
- 0.067281
- 0.073608
- 0.181658
- 0.036820
- 0.425876
- 0.052368
- 0.277893
- 0.043419
- 0.999378
- 0.134293
- 0.871130
- 0.167741
- 0.582866
- 0.144323
- 0.745869
- 0.216884
- 0.055250
- 0.186854
- 0.164842
- 0.160698
- 0.411437
- 0.184735
- 0.310456
- 0.173083
- 1.310422
- 0.373110
- 0.990945
- 0.442036
- 0.572513
- 0.450171
- 0.761992
- 0.448273
- 0.078434
- 0.429733
- 0.223957
- 0.433525
- 0.483009
- 0.442487
- 0.351997
- 0.234057
- 1.493126
- 0.245349
- 0.871117
- 0.278032
- 0.601780
- 0.299117
- 0.752566
- 0.343828
- 0.049983
- 0.307660
- 0.197631
- 0.256888
- 0.459299
- 0.301477
- 0.340566
- 0.975369
- −1.374032
- 1.481139
- −0.719889
- 1.218020
- −0.537432
- 1.572273
- −1.013574
- 1.187472
- −0.140021
- 1.528894
- −0.437163
- 1.209428
- −0.325388
- 1.451803
- −0.133447
- 1.150324
- −0.991883
- 0.920560
- −1.027887
- 1.130859
- −0.690274
- 0.935148
- −0.791094
- 1.046905
- −0.109020
- 0.905564
- −0.126090
- 0.986845
- −0.392801
- 0.888567
- −0.278893
- 0.311973
- −1.734362
- 0.529664
- −1.037246
- 0.623019
- −0.619800
- 0.545408
- −0.794517
- 0.590997
- −0.100302
- 0.593410
- −0.246925
- 0.607152
- −0.477790
- 0.629036
- −0.343531
- 0.563423
- −1.365187
- 0.710907
- −1.103897
- 0.763953
- −0.637666
- 0.728679
- −0.837901
- 0.699119
- −0.052387
- 0.778520
- −0.167574
- 0.841139
- −0.487476
- 0.768298
- −0.365852
- 0.127333
- −1.155716
- 0.307801
- −1.071269
- 0.054226
- −0.569000
- 0.045338
- −0.681811
- 0.028860
- −0.067281
- 0.073608
- −0.181658
- 0.036820
- −0.425876
- 0.052368
- −0.277893
- 0.043419
- −0.999378
- 0.134293
- −0.871130
- 0.167741
- −0.582866
- 0.144323
- −0.745869
- 0.216884
- −0.055250
- 0.186854
- −0.164842
- 0.160698
- −0.411437
- 0.184735
- −0.310456
- 0.173083
- −1.310422
- 0.373110
- −0.990945
- 0.442036
- −0.572513
- 0.450171
- −0.761992
- 0.448273
- −0.078434
- 0.429733
- −0.223957
- 0.433525
- −0.483009
- 0.442487
- −0.351997
- 0.234057
- −1.493126
- 0.245349
- −0.871117
- 0.278032
- −0.601780
- 0.299117
- −0.752566
- 0.343828
- −0.049983
- 0.307660
- −0.197631
- 0.256888
- −0.459299
- 0.301477
- −0.340566
- −0.975369
- 1.374032
- −1.481139
- 0.719889
- −1.218020
- 0.537432
- −1.572273
- 1.013574
- −1.187472
- 0.140021
- −1.528894
- 0.437163
- −1.209428
- 0.325388
- −1.451803
- 0.133447
- −1.150324
- 0.991883
- −0.920560
- 1.027887
- −1.130859
- 0.690274
- −0.935148
- 0.791094
- −1.046905
- 0.109020
- −0.905564
- 0.126090
- −0.986845
- 0.392801
- −0.888567
- 0.278893
- −0.311973
- 1.734362
- −0.529664
- 1.037246
- −0.623019
- 0.619800
- −0.545408
- 0.794517
- −0.590997
- 0.100302
- −0.593410
- 0.246925
- −0.607152
- 0.477790
- −0.629036
- 0.343531
- −0.563423
- 1.365187
- −0.710907
- 1.103897
- −0.763953
- 0.637666
- −0.728679
- 0.837901
- −0.699119
- 0.052387
- −0.778520
- 0.167574
- −0.841139
- 0.487476
- −0.768298
- 0.365852
- −0.127333
- 1.155716
- −0.307801
- 1.071269
- −0.054226
- 0.569000
- −0.045338
- 0.681811
- −0.028860
- 0.067281
- −0.073608
- 0.181658
- −0.036820
- 0.425876
- −0.052368
- 0.277893
- −0.043419
- 0.999378
- −0.134293
- 0.871130
- −0.167741
- 0.582866
- −0.144323
- 0.745869
- −0.216884
- 0.055250
- −0.186854
- 0.164842
- −0.160698
- 0.411437
- −0.184735
- 0.310456
- −0.173083
- 1.310422
- −0.373110
- 0.990945
- −0.442036
- 0.572513
- −0.450171
- 0.761992
- −0.448273
- 0.078434
- −0.429733
- 0.223957
- −0.433525
- 0.483009
- −0.442487
- 0.351997
- −0.234057
- 1.493126
- −0.245349
- 0.871117
- −0.278032
- 0.601780
- −0.299117
- 0.752566
- −0.343828
- 0.049983
- −0.307660
- 0.197631
- −0.256888
- 0.459299
- −0.301477
- 0.340566
- −0.975369
- −1.374032
- −1.481139
- −0.719889
- −1.218020
- −0.537432
- −1.572273
- −1.013574
- −1.187472
- −0.140021
- −1.528894
- −0.437163
- −1.209428
- −0.325388
- −1.451803
- −0.133447
- −1.150324
- −0.991883
- −0.920560
- −1.027887
- −1.130859
- −0.690274
- −0.935148
- −0.791094
- −1.046905
- −0.109020
- −0.905564
- −0.126090
- −0.986845
- −0.392801
- −0.888567
- −0.278893
- −0.311973
- −1.734362
- −0.529664
- −1.037246
- −0.623019
- −0.619800
- −0.545408
- −0.794517
- −0.590997
- −0.100302
- −0.593410
- −0.246925
- −0.607152
- −0.477790
- −0.629036
- −0.343531
- −0.563423
- −1.365187
- −0.710907
- −1.103897
- −0.763953
- −0.637666
- −0.728679
- −0.837901
- −0.699119
- −0.052387
- −0.778520
- −0.167574
- −0.841139
- −0.487476
- −0.768298
- −0.365852
- −0.127333
- −1.155716
- −0.307801
- −1.071269
- −0.054226
- −0.569000
- −0.045338
- −0.681811
- −0.028860
- −0.067281
- −0.073608
- −0.181658
- −0.036820
- −0.425876
- −0.052368
- −0.277893
- −0.043419
- −0.999378
- −0.134293
- −0.871130
- −0.167741
- −0.582866
- −0.144323
- −0.745869
- −0.216884
- −0.055250
- −0.186854
- −0.164842
- −0.160698
- −0.411437
- −0.184735
- −0.310456
- −0.173083
- −1.310422
- −0.373110
- −0.990945
- −0.442036
- −0.572513
- −0.450171
- −0.761992
- −0.448273
- −0.078434
- −0.429733
- −0.223957
- −0.433525
- −0.483009
- −0.442487
- −0.351997
- −0.234057
- −1.493126
- −0.245349
- −0.871117
- −0.278032
- −0.601780
- −0.299117
- −0.752566
- −0.343828
- −0.049983
- −0.307660
- −0.197631
- −0.256888
- −0.459299
- −0.301477
- −0.340566;
- and
- transmitting, by a transmitter of the wireless communication device, a wireless signal, the wireless signal modulated in accordance with the constellation symbols to mitigate phase noise.
513 more elements
An apparatus for a wireless communication device configured for wireless communication using digital quadrature amplitude modulation (QAM), the apparatus comprising:
- an electronic component configured to translate between constellation symbols and bit sequences corresponding to the constellation symbols in accordance with a 256-point constellation;
- wherein normalized magnitudes of the constellation symbols in a first quadrant of the 256-point constellation are defined by the following coordinate pairs to at least three decimal places of precision:
- 0.975369
- 1.374032
- 1.481139
- 0.719889
- 1.218020
- 0.537432
- 1.572273
- 1.013574
- 1.187472
- 0.140021
- 1.528894
- 0.437163
- 1.209428
- 0.325388
- 1.451803
- 0.133447
- 1.150324
- 0.991883
- 0.920560
- 1.027887
- 1.130859
- 0.690274
- 0.935148
- 0.791094
- 1.046905
- 0.109020
- 0.905564
- 0.126090
- 0.986845
- 0.392801
- 0.888567
- 0.278893
- 0.311973
- 1.734362
- 0.529664
- 1.037246
- 0.623019
- 0.619800
- 0.545408
- 0.794517
- 0.590997
- 0.100302
- 0.593410
- 0.246925
- 0.607152
- 0.477790
- 0.629036
- 0.343531
- 0.563423
- 1.365187
- 0.710907
- 1.103897
- 0.763953
- 0.637666
- 0.728679
- 0.837901
- 0.699119
- 0.052387
- 0.778520
- 0.167574
- 0.841139
- 0.487476
- 0.768298
- 0.365852
- 0.127333
- 1.155716
- 0.307801
- 1.071269
- 0.054226
- 0.569000
- 0.045338
- 0.681811
- 0.028860
- 0.067281
- 0.073608
- 0.181658
- 0.036820
- 0.425876
- 0.052368
- 0.277893
- 0.043419
- 0.999378
- 0.134293
- 0.871130
- 0.167741
- 0.582866
- 0.144323
- 0.745869
- 0.216884
- 0.055250
- 0.186854
- 0.164842
- 0.160698
- 0.411437
- 0.184735
- 0.310456
- 0.173083
- 1.310422
- 0.373110
- 0.990945
- 0.442036
- 0.572513
- 0.450171
- 0.761992
- 0.448273
- 0.078434
- 0.429733
- 0.223957
- 0.433525
- 0.483009
- 0.442487
- 0.351997
- 0.234057
- 1.493126
- 0.245349
- 0.871117
- 0.278032
- 0.601780
- 0.299117
- 0.752566
- 0.343828
- 0.049983
- 0.307660
- 0.197631
- 0.256888
- 0.459299
- 0.301477
- 0.340566
- 0.975369
- −1.374032
- 1.481139
- −0.719889
- 1.218020
- −0.537432
- 1.572273
- −1.013574
- 1.187472
- −0.140021
- 1.528894
- −0.437163
- 1.209428
- −0.325388
- 1.451803
- −0.133447
- 1.150324
- −0.991883
- 0.920560
- −1.027887
- 1.130859
- −0.690274
- 0.935148
- −0.791094
- 1.046905
- −0.109020
- 0.905564
- −0.126090
- 0.986845
- −0.392801
- 0.888567
- −0.278893
- 0.311973
- −1.734362
- 0.529664
- −1.037246
- 0.623019
- −0.619800
- 0.545408
- −0.794517
- 0.590997
- −0.100302
- 0.593410
- −0.246925
- 0.607152
- −0.477790
- 0.629036
- −0.343531
- 0.563423
- −1.365187
- 0.710907
- −1.103897
- 0.763953
- −0.637666
- 0.728679
- −0.837901
- 0.699119
- −0.052387
- 0.778520
- −0.167574
- 0.841139
- −0.487476
- 0.768298
- −0.365852
- 0.127333
- −1.155716
- 0.307801
- −1.071269
- 0.054226
- −0.569000
- 0.045338
- −0.681811
- 0.028860
- −0.067281
- 0.073608
- −0.181658
- 0.036820
- −0.425876
- 0.052368
- −0.277893
- 0.043419
- −0.999378
- 0.134293
- −0.871130
- 0.167741
- −0.582866
- 0.144323
- −0.745869
- 0.216884
- −0.055250
- 0.186854
- −0.164842
- 0.160698
- −0.411437
- 0.184735
- −0.310456
- 0.173083
- −1.310422
- 0.373110
- −0.990945
- 0.442036
- −0.572513
- 0.450171
- −0.761992
- 0.448273
- −0.078434
- 0.429733
- −0.223957
- 0.433525
- −0.483009
- 0.442487
- −0.351997
- 0.234057
- −1.493126
- 0.245349
- −0.871117
- 0.278032
- −0.601780
- 0.299117
- −0.752566
- 0.343828
- −0.049983
- 0.307660
- −0.197631
- 0.256888
- −0.459299
- 0.301477
- −0.340566
- −0.975369
- 1.374032
- −1.481139
- 0.719889
- −1.218020
- 0.537432
- −1.572273
- 1.013574
- −1.187472
- 0.140021
- −1.528894
- 0.437163
- −1.209428
- 0.325388
- −1.451803
- 0.133447
- −1.150324
- 0.991883
- −0.920560
- 1.027887
- −1.130859
- 0.690274
- −0.935148
- 0.791094
- −1.046905
- 0.109020
- −0.905564
- 0.126090
- −0.986845
- 0.392801
- −0.888567
- 0.278893
- −0.311973
- 1.734362
- −0.529664
- 1.037246
- −0.623019
- 0.619800
- −0.545408
- 0.794517
- −0.590997
- 0.100302
- −0.593410
- 0.246925
- −0.607152
- 0.477790
- −0.629036
- 0.343531
- −0.563423
- 1.365187
- −0.710907
- 1.103897
- −0.763953
- 0.637666
- −0.728679
- 0.837901
- −0.699119
- 0.052387
- −0.778520
- 0.167574
- −0.841139
- 0.487476
- −0.768298
- 0.365852
- −0.127333
- 1.155716
- −0.307801
- 1.071269
- −0.054226
- 0.569000
- −0.045338
- 0.681811
- −0.028860
- 0.067281
- −0.073608
- 0.181658
- −0.036820
- 0.425876
- −0.052368
- 0.277893
- −0.043419
- 0.999378
- −0.134293
- 0.871130
- −0.167741
- 0.582866
- −0.144323
- 0.745869
- −0.216884
- 0.055250
- −0.186854
- 0.164842
- −0.160698
- 0.411437
- −0.184735
- 0.310456
- −0.173083
- 1.310422
- −0.373110
- 0.990945
- −0.442036
- 0.572513
- −0.450171
- 0.761992
- −0.448273
- 0.078434
- −0.429733
- 0.223957
- −0.433525
- 0.483009
- −0.442487
- 0.351997
- −0.234057
- 1.493126
- −0.245349
- 0.871117
- −0.278032
- 0.601780
- −0.299117
- 0.752566
- −0.343828
- 0.049983
- −0.307660
- 0.197631
- −0.256888
- 0.459299
- −0.301477
- 0.340566
- −0.975369
- −1.374032
- −1.481139
- −0.719889
- −1.218020
- −0.537432
- −1.572273
- −1.013574
- −1.187472
- −0.140021
- −1.528894
- −0.437163
- −1.209428
- −0.325388
- −1.451803
- −0.133447
- −1.150324
- −0.991883
- −0.920560
- −1.027887
- −1.130859
- −0.690274
- −0.935148
- −0.791094
- −1.046905
- −0.109020
- −0.905564
- −0.126090
- −0.986845
- −0.392801
- −0.888567
- −0.278893
- −0.311973
- −1.734362
- −0.529664
- −1.037246
- −0.623019
- −0.619800
- −0.545408
- −0.794517
- −0.590997
- −0.100302
- −0.593410
- −0.246925
- −0.607152
- −0.477790
- −0.629036
- −0.343531
- −0.563423
- −1.365187
- −0.710907
- −1.103897
- −0.763953
- −0.637666
- −0.728679
- −0.837901
- −0.699119
- −0.052387
- −0.778520
- −0.167574
- −0.841139
- −0.487476
- −0.768298
- −0.365852
- −0.127333
- −1.155716
- −0.307801
- −1.071269
- −0.054226
- −0.569000
- −0.045338
- −0.681811
- −0.028860
- −0.067281
- −0.073608
- −0.181658
- −0.036820
- −0.425876
- −0.052368
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- −0.043419
- −0.999378
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- −0.871130
- −0.167741
- −0.582866
- −0.144323
- −0.745869
- −0.216884
- −0.055250
- −0.186854
- −0.164842
- −0.160698
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- −0.184735
- −0.310456
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- −1.310422
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- −0.442036
- −0.572513
- −0.450171
- −0.761992
- −0.448273
- −0.078434
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- −0.223957
- −0.433525
- −0.483009
- −0.442487
- −0.351997
- −0.234057
- −1.493126
- −0.245349
- −0.871117
- −0.278032
- −0.601780
- −0.299117
- −0.752566
- −0.343828
- −0.049983
- −0.307660
- −0.197631
- −0.256888
- −0.459299
- −0.301477
- −0.340566;
- and
- a transmitter configured to transmit a wireless signal, the wireless signal modulated in accordance with the constellation symbols to mitigate phase noise.
513 more elements
A method for wireless communication using digital quadrature amplitude modulation (QAM), the method comprising:
- translating between constellation symbols and bit sequences corresponding to the constellation symbols using a mapping module electronic component of a wireless communication device, in accordance with a 128-point constellation;
- wherein normalized magnitudes of the constellation symbols in a first quadrant of the 128-point constellation are defined by the following coordinate pairs to at least three decimal places of precision:
- 0.752060
- 0.302196
- 0.788983
- 0.113122
- 0.325356
- 0.054462
- 0.573961
- 0.098934
- 0.579122
- 0.497202
- 0.471776
- 0.396048
- 0.294917
- 0.133438
- 0.433938
- 0.245088
- 0.132847
- 0.742015
- 0.122253
- 0.604949
- 0.068657
- 0.075472
- 0.060983
- 0.445207
- 0.382346
- 0.652673
- 0.302064
- 0.494450
- 0.166497
- 0.233502
- 0.196116
- 0.340897
- 0.907567
- 0.452354
- 1.043922
- 0.158157
- 1.130081
- 0.548716
- 1.320594
- 0.181413
- 0.712483
- 0.646623
- 0.815526
- 0.865815
- 1.157076
- 0.928991
- 1.532471
- 0.508968
- 0.120519
- 0.915797
- 0.148259
- 1.123784
- 0.282652
- 1.690100
- 0.221465
- 1.387236
- 0.423824
- 0.821654
- 0.488704
- 1.037583
- 0.872546
- 1.413810
- 0.675009
- 1.247576
- 0.752060
- −0.302196
- 0.788983
- −0.113122
- 0.325356
- −0.054462
- 0.573961
- −0.098934
- 0.579122
- −0.497202
- 0.471776
- −0.396048
- 0.294917
- −0.133438
- 0.433938
- −0.245088
- 0.132847
- −0.742015
- 0.122253
- −0.604949
- 0.068657
- −0.075472
- 0.060983
- −0.445207
- 0.382346
- −0.652673
- 0.302064
- −0.494450
- 0.166497
- −0.233502
- 0.196116
- −0.340897
- 0.907567
- −0.452354
- 1.043922
- −0.158157
- 1.130081
- −0.548716
- 1.320594
- −0.181413
- 0.712483
- −0.646623
- 0.815526
- −0.865815
- 1.157076
- −0.928991
- 1.532471
- −0.508968
- 0.120519
- −0.915797
- 0.148259
- −1.123784
- 0.282652
- −1.690100
- 0.221465
- −1.387236
- 0.423824
- −0.821654
- 0.488704
- −1.037583
- 0.872546
- −1.413810
- 0.675009
- −1.247576
- −0.752060
- 0.302196
- −0.788983
- 0.113122
- −0.325356
- 0.054462
- −0.573961
- 0.098934
- −0.579122
- 0.497202
- −0.471776
- 0.396048
- −0.294917
- 0.133438
- −0.433938
- 0.245088
- −0.132847
- 0.742015
- −0.122253
- 0.604949
- −0.068657
- 0.075472
- −0.060983
- 0.445207
- −0.382346
- 0.652673
- −0.302064
- 0.494450
- −0.166497
- 0.233502
- −0.196116
- 0.340897
- −0.907567
- 0.452354
- −1.043922
- 0.158157
- −1.130081
- 0.548716
- −1.320594
- 0.181413
- −0.712483
- 0.646623
- −0.815526
- 0.865815
- −1.157076
- 0.928991
- −1.532471
- 0.508968
- −0.120519
- 0.915797
- −0.148259
- 1.123784
- −0.282652
- 1.690100
- −0.221465
- 1.387236
- −0.423824
- 0.821654
- −0.488704
- 1.037583
- −0.872546
- 1.413810
- −0.675009
- 1.247576
- −0.752060
- −0.302196
- −0.788983
- −0.113122
- −0.325356
- −0.054462
- −0.573961
- −0.098934
- −0.579122
- −0.497202
- −0.471776
- −0.396048
- −0.294917
- −0.133438
- −0.433938
- −0.245088
- −0.132847
- −0.742015
- −0.122253
- −0.604949
- −0.068657
- −0.075472
- −0.060983
- −0.445207
- −0.382346
- −0.652673
- −0.302064
- −0.494450
- −0.166497
- −0.233502
- −0.196116
- −0.340897
- −0.907567
- −0.452354
- −1.043922
- −0.158157
- −1.130081
- −0.548716
- −1.320594
- −0.181413
- −0.712483
- −0.646623
- −0.815526
- −0.865815
- −1.157076
- −0.928991
- −1.532471
- −0.508968
- −0.120519
- −0.915797
- −0.148259
- −1.123784
- −0.282652
- −1.690100
- −0.221465
- −1.387236
- −0.423824
- −0.821654
- −0.488704
- −1.037583
- −0.872546
- −1.413810
- −0.675009
- −1.247576;
- and
- transmitting, by a transmitter of the wireless communication device, a wireless signal, the wireless signal modulated in accordance with the constellation symbols to mitigate phase noise.
257 more elements
An apparatus for a wireless communication device configured for wireless communication using digital quadrature amplitude modulation (QAM), the apparatus comprising:
- an electronic component configured to translate between constellation symbols and bit sequences corresponding to the constellation symbols in accordance with a 128-point constellation;
- wherein normalized magnitudes of the constellation symbols in a first quadrant of the 128-point constellation are defined by the following coordinate pairs to at least three decimal places of precision:
- 0.752060
- 0.302196
- 0.788983
- 0.113122
- 0.325356
- 0.054462
- 0.573961
- 0.098934
- 0.579122
- 0.497202
- 0.471776
- 0.396048
- 0.294917
- 0.133438
- 0.433938
- 0.245088
- 0.132847
- 0.742015
- 0.122253
- 0.604949
- 0.068657
- 0.075472
- 0.060983
- 0.445207
- 0.382346
- 0.652673
- 0.302064
- 0.494450
- 0.166497
- 0.233502
- 0.196116
- 0.340897
- 0.907567
- 0.452354
- 1.043922
- 0.158157
- 1.130081
- 0.548716
- 1.320594
- 0.181413
- 0.712483
- 0.646623
- 0.815526
- 0.865815
- 1.157076
- 0.928991
- 1.532471
- 0.508968
- 0.120519
- 0.915797
- 0.148259
- 1.123784
- 0.282652
- 1.690100
- 0.221465
- 1.387236
- 0.423824
- 0.821654
- 0.488704
- 1.037583
- 0.872546
- 1.413810
- 0.675009
- 1.247576
- 0.752060
- −0.302196
- 0.788983
- −0.113122
- 0.325356
- −0.054462
- 0.573961
- −0.098934
- 0.579122
- −0.497202
- 0.471776
- −0.396048
- 0.294917
- −0.133438
- 0.433938
- −0.245088
- 0.132847
- −0.742015
- 0.122253
- −0.604949
- 0.068657
- −0.075472
- 0.060983
- −0.445207
- 0.382346
- −0.652673
- 0.302064
- −0.494450
- 0.166497
- −0.233502
- 0.196116
- −0.340897
- 0.907567
- −0.452354
- 1.043922
- −0.158157
- 1.130081
- −0.548716
- 1.320594
- −0.181413
- 0.712483
- −0.646623
- 0.815526
- −0.865815
- 1.157076
- −0.928991
- 1.532471
- −0.508968
- 0.120519
- −0.915797
- 0.148259
- −1.123784
- 0.282652
- −1.690100
- 0.221465
- −1.387236
- 0.423824
- −0.821654
- 0.488704
- −1.037583
- 0.872546
- −1.413810
- 0.675009
- −1.247576
- −0.752060
- 0.302196
- −0.788983
- 0.113122
- −0.325356
- 0.054462
- −0.573961
- 0.098934
- −0.579122
- 0.497202
- −0.471776
- 0.396048
- −0.294917
- 0.133438
- −0.433938
- 0.245088
- −0.132847
- 0.742015
- −0.122253
- 0.604949
- −0.068657
- 0.075472
- −0.060983
- 0.445207
- −0.382346
- 0.652673
- −0.302064
- 0.494450
- −0.166497
- 0.233502
- −0.196116
- 0.340897
- −0.907567
- 0.452354
- −1.043922
- 0.158157
- −1.130081
- 0.548716
- −1.320594
- 0.181413
- −0.712483
- 0.646623
- −0.815526
- 0.865815
- −1.157076
- 0.928991
- −1.532471
- 0.508968
- −0.120519
- 0.915797
- −0.148259
- 1.123784
- −0.282652
- 1.690100
- −0.221465
- 1.387236
- −0.423824
- 0.821654
- −0.488704
- 1.037583
- −0.872546
- 1.413810
- −0.675009
- 1.247576
- −0.752060
- −0.302196
- −0.788983
- −0.113122
- −0.325356
- −0.054462
- −0.573961
- −0.098934
- −0.579122
- −0.497202
- −0.471776
- −0.396048
- −0.294917
- −0.133438
- −0.433938
- −0.245088
- −0.132847
- −0.742015
- −0.122253
- −0.604949
- −0.068657
- −0.075472
- −0.060983
- −0.445207
- −0.382346
- −0.652673
- −0.302064
- −0.494450
- −0.166497
- −0.233502
- −0.196116
- −0.340897
- −0.907567
- −0.452354
- −1.043922
- −0.158157
- −1.130081
- −0.548716
- −1.320594
- −0.181413
- −0.712483
- −0.646623
- −0.815526
- −0.865815
- −1.157076
- −0.928991
- −1.532471
- −0.508968
- −0.120519
- −0.915797
- −0.148259
- −1.123784
- −0.282652
- −1.690100
- −0.221465
- −1.387236
- −0.423824
- −0.821654
- −0.488704
- −1.037583
- −0.872546
- −1.413810
- −0.675009
- −1.247576;
- and
- a transmitter configured to transmit a wireless signal, the wireless signal modulated in accordance with the constellation symbols to mitigate phase noise.
257 more elements
Dependencies are inferred from the claim text.