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.
Claims20
A system comprising:
- at least one transmitter to
- receive an input bit sequence,
- convert the input bit sequence into a sequence of polynomial symbol waveforms (PSWs) selected from a designed PSW alphabet,
- the designed PSW alphabet being formed by
- providing an initial PSW alphabet having polynomial coefficients and polynomial roots, modifying at least one of the polynomial coefficients or polynomial roots of the initial PSW alphabet to produce the designed PSW alphabet, where modifying the PSW alphabet includes at least one of:
- translating at least one polynomial root from one or more PSWs of the PSW alphabet from a starting location to an end location in the complex plane, and
- adjusting complex conjugates of translated roots that are complex to keep the polynomial real-valued, and
- transmit the sequence of polynomial symbol waveforms;
- and
- at least one receiver to
- receive the sequence of polynomial symbol waveforms,
- convert the received sequence of polynomial symbol waveforms into an output bit sequence based on the designed PSW alphabet, and
- output the output bit sequence.
A non-transitory computer readable medium storing instructions, the instructions comprising:
- one or more instructions which, when executed by one or more processors, cause the one or more processors to:
- convert, by a transmitter, an input bit sequence into a sequence of polynomial symbol waveforms (PSWs) selected from a designed PSW alphabet,
- the designed PSW alphabet being formed by
- providing an initial PSW alphabet having polynomial coefficients and polynomial roots,
- modifying at least one of the polynomial coefficients or polynomial roots of the initial PSW alphabet to produce the designed PSW alphabet, where the initial polynomial symbol waveform alphabet is modified to a higher minimum RMS separation between the polynomial symbol waveforms;
- and
- transmit, by the transmitter, the sequence of polynomial symbol waveforms.
A system comprising:
- a transmitter to
- receive an input bit sequence,
- convert the input bit sequence into a sequence of polynomial symbol waveforms (PSWs) selected from a designed PSW alphabet,
- the designed PSW alphabet being formed by
- providing an initial PSW alphabet having polynomial coefficients and polynomial roots,
- modifying at least one of the polynomial coefficients or polynomial roots of the initial PSW alphabet to produce the designed PSW alphabet, where the initial polynomial symbol waveform alphabet is modified to provide a higher minimum RMS separation between the polynomial symbol waveforms, and
- transmit the sequence of polynomial symbol waveforms.
Dependencies are inferred from the claim text.