Devices, systems, and methods employing polynomial symbol waveforms
AssigneeAstrapi Corporation
InventorsJerrold Prothero, James J. Sterling
Life of this patent
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Abstract
Systems, devices, and methods of the present invention enhance data transmission through the use of polynomial symbol waveforms (PSW) and sets of PSWs corresponding to a symbol alphabet is here termed a PSW alphabet. Methods introduced here are based on modifying polynomial alphabet by changing the polynomial coefficients or roots of PSWs and/or shaping of the polynomial alphabet, such as by polynomial convolution, to produce a designed PSW alphabet including waveforms with improved characteristics for data transmission.
Claims13
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.
Dependencies are inferred from the claim text.