US 11,729,041 B2
Devices, systems, and methods employing polynomial symbol waveforms
Jerrold Prothero, Delray Beach, FL (US); and James J. Sterling, Chambersburg, PA (US)
Assigned to Astrapi Corporation, Dallas, TX (US)
Filed by Astrapi Corporation, Dallas, TX (US)
Filed on Jan. 17, 2022, as Appl. No. 17/577,082.
Application 17/577,082 is a continuation of application No. 17/060,181, filed on Oct. 1, 2020, granted, now 11,228,477.
Application 17/060,181 is a continuation of application No. 16/735,655, filed on Jan. 6, 2020, granted, now 10,848,364, issued on Nov. 24, 2020.
Claims priority of provisional application 62/814,404, filed on Mar. 6, 2019.
Prior Publication US 2022/0141077 A1, May 5, 2022
This patent is subject to a terminal disclaimer.
Int. Cl. H04L 27/34 (2006.01); H04L 27/26 (2006.01); H04L 27/36 (2006.01)
CPC H04L 27/3405 (2013.01) [H04L 27/2639 (2013.01); H04L 27/2647 (2013.01); H04L 27/3494 (2013.01); H04L 27/363 (2013.01)] 13 Claims
OG exemplary drawing
 
1. A method of generating a designed polynomial symbol waveform (PSW) alphabet for data transmission, comprising:
providing an initial PSW alphabet having polynomial coefficients and polynomial roots,
modifying at least one of the polynomial coefficients and polynomial roots in the initial PSW alphabet to produce a designed PSW alphabet by applying random variation determined by at least one of Monte Carlo optimization and machine learning to at least one of the polynomial coefficients and polynomial roots of an initial PSW alphabet to produce and edited PSW alphabet;
calculating a goodness measure for the initial and edited PSW alphabets;
comparing the goodness measure of the initial PSW alphabet to the goodness measure of the edited PSW alphabet; and
setting the initial PSW alphabet equal to the edited PSW alphabet when the edited PSW alphabet has a higher goodness measure compared to the initial PSW alphabet.