US 11,889,325 B2
Methods and apparatuses for signaling with geometric constellations in a Rayleigh fading channel
Maged F. Barsoum, San Jose, CA (US); and Christopher R. Jones, Pacific Palisades, CA (US)
Assigned to Constellation Designs, LLC, Wayne, PA (US)
Filed by Constellation Designs, LLC, Wayne, PA (US)
Filed on Jun. 11, 2021, as Appl. No. 17/346,153.
Application 17/346,153 is a continuation of application No. 16/752,332, filed on Jan. 24, 2020, granted, now 11,039,324.
Application 16/752,332 is a continuation of application No. 16/517,497, filed on Jul. 19, 2019, granted, now 10,548,031, issued on Jan. 28, 2020.
Application 16/517,497 is a continuation of application No. 15/682,512, filed on Aug. 21, 2017, granted, now 10,524,139, issued on Dec. 31, 2019.
Application 15/682,512 is a continuation of application No. 14/943,003, filed on Nov. 16, 2015, granted, now 9,743,290, issued on Aug. 22, 2017.
Application 14/943,003 is a continuation of application No. 13/179,383, filed on Jul. 8, 2011, granted, now 9,191,148, issued on Nov. 17, 2015.
Application 13/179,383 is a continuation in part of application No. 12/156,989, filed on Jun. 5, 2008, granted, now 7,978,777, issued on Jul. 12, 2011.
Claims priority of provisional application 60/933,319, filed on Jun. 5, 2007.
Claims priority of provisional application 61/362,649, filed on Jul. 8, 2010.
Prior Publication US 2021/0377751 A1, Dec. 2, 2021
Int. Cl. H04W 24/02 (2009.01); H04L 1/00 (2006.01); H04L 27/34 (2006.01); H04L 5/00 (2006.01); H04W 72/0453 (2023.01); H04W 72/044 (2023.01)
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)] 67 Claims
OG exemplary drawing
 
1. A communication system, comprising:
a transmitter capable of transmitting signals via a communication channel;
wherein the transmitter comprises:
a coder capable of receiving bits and outputting encoded bits using a Low Density Parity Check (LDPC) code;
a mapper, coupled to the coder, capable of mapping encoded bits to symbols in a non-uniform quadrature amplitude modulation 1024-point symbol constellation (NU-QAM 1024);
a modulator, coupled to the mapper, capable of producing a signal for transmission via the communication channel based upon symbols generated by the mapper;
a receiver capable of receiving signals via the communication channel at a channel signal-to-noise ratio (SNR), wherein the receiver comprises:
a demodulator capable of demodulating a received signal into a demodulated signal;
a demapper, coupled to the demodulator, capable of determining likelihoods using the NU-QAM 1024; and
a decoder, coupled to the demapper, capable of using likelihoods determined by the demapper to provide a sequence of received bits based upon the LDPC code;
wherein the NU-QAM 1024 comprises an in-phase component and a quadrature component, where each component comprises 32 levels of amplitude such that the amplitudes scaled by a scaling factor are within 0.7560 from the following set of amplitudes:
−38.3887, −32.0467, −27.2059, −24.0230, −20.1597, −18.7135, −15.4053, −15.0236, −11.086, −11.0231, −8.0271, −8.0244, −4.4028, −4.4028, −1.8543, −1.8540, 1.8561, 1.8565, 4.4049, 4.4049, 8.0268, 8.0295, 11.0254, 11.0873, 15.026, 15.4055, 18.7141, 20.1578, 24.0205, 27.2021, 32.0412, 38.3824.