| CPC H04W 24/02 (2013.01) [H04L 1/0003 (2013.01); H04L 1/0009 (2013.01); H04L 5/006 (2013.01); H04L 27/3405 (2013.01); H04W 72/0453 (2013.01); H04W 72/0473 (2013.01)] | 30 Claims |

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1. A communication system, comprising:
a receiver capable of receiving signals via a communication channel having a channel signal-to-noise ratio (SNR), comprising:
a demodulator capable of demodulating a received signal into a demodulated signal;
a demapper, coupled to the demodulator, capable of determining likelihoods using a non-uniform quadrature amplitude modulation (NU-QAM) 64 point symbol constellation selected from a plurality of NU-QAM symbol constellations; and
a decoder, coupled to the demapper, capable of using likelihoods determined by the demapper to provide a sequence of received bits based upon a low density parity check (LDPC) code having a code rate at or below 2/3;
wherein the selected NU-QAM 64 point symbol constellation is characterized in that the selected NU-QAM 64 point symbol constellation provides a parallel decoding capacity in a Rayleigh channel that is greater than or equal to 4 bits per symbol at an SNR that it is at or below 15.0542 dB;
wherein the selected NU-QAM 64 point symbol constellation is further characterized in that the selected NU-QAM 64 point symbol constellation provides a parallel decoding capacity in a Rayleigh channel that is greater than the parallel decoding capacity in a Rayleigh channel of a uniformly spaced QAM 64 point symbol constellation at SNRs between 15.0542 dB and 19.2 dB; and
wherein the receiver is configured to use the selected NU-QAM 64 point symbol constellation to receive data when the channel SNR is an SNR that is at or below 19.2 dB and that is above 15.0542 dB.
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