US 12,476,859 B2
Methods and apparatuses for signaling with geometric constellations
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 Feb. 12, 2024, as Appl. No. 18/439,591.
Application 18/439,591 is a continuation of application No. 17/328,993, filed on May 24, 2021, granted, now 11,902,078.
Application 17/328,993 is a continuation of application No. 16/734,261, filed on Jan. 3, 2020, granted, now 11,018,922, issued on May 25, 2021.
Application 16/734,261 is a continuation of application No. 15/826,579, filed on Nov. 29, 2017, granted, now 10,530,629, issued on Jan. 7, 2020.
Application 15/826,579 is a continuation of application No. 13/608,838, filed on Sep. 10, 2012, granted, now 9,887,870, issued on Feb. 6, 2018.
Application 13/608,838 is a continuation of application No. 12/650,532, filed on Dec. 30, 2009, granted, now 8,265,175, issued on Sep. 11, 2012.
Application 12/650,532 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 61/141,935, filed on Dec. 31, 2008.
Claims priority of provisional application 61/141,662, filed on Dec. 30, 2008.
Claims priority of provisional application 60/933,319, filed on Jun. 5, 2007.
Prior Publication US 2024/0305513 A1, Sep. 12, 2024
This patent is subject to a terminal disclaimer.
Int. Cl. H04L 27/34 (2006.01); H04B 14/02 (2006.01); H04L 1/00 (2006.01)
CPC H04L 27/3405 (2013.01) [H04B 14/023 (2013.01); H04L 1/0003 (2013.01); H04L 1/0009 (2013.01)] 23 Claims
OG exemplary drawing
 
1. A method of receiving data, comprising:
receiving a signal at a receiver via a communication channel having a channel signal-to-noise ratio (SNR), where the receiver comprises a demodulator, a demapper, and a decoder;
demodulating the received signal into a demodulated signal using the demodulator and providing the demodulated signal to the demapper via a coupling between the demodulator and the demapper;
determining likelihoods using the demapper based upon the demodulated signal and a non-uniform quadrature amplitude modulation 1024-point symbol constellation (NU-QAM 1024);
providing the determined likelihoods to the decoder via a coupling between the demapper and the decoder; and
providing a sequence of received bits from the decoder based upon the determined likelihoods and a low density parity check (LDPC) code;
wherein the NU-QAM 1024 constellation 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 0.15 from the following set of amplitudes: −34.448, −30.817, −27.660, −24.807, −22.185, −19.751, −17.476, −15.333, −13.305, −11.366, −9.509, −7.701, −5.953, −4.220, −2.533, −0.834, 0.833, 2.533, 4.220, 5.953, 7.701, 9.509, 11.366, 13.305, 15.333, 17.476, 19.752, 22.186, 24.808, 27.660, 30.818, and 34.449.