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Systems and methods for symplectic orthogonal time frequency shifting modulation and transmission of data

  • US 10,158,394 B2
  • Filed: 05/11/2016
  • Issued: 12/18/2018
  • Est. Priority Date: 05/11/2015
  • Status: Active Grant
First Claim
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1. An automated method of wirelessly transmitting and receiving data over an impaired data channel coupling at least one wireless transmitter and at least one wireless receiver, said data comprising a plurality of data symbols;

  • wherein said impaired data channel impairs said waveforms, said impairment being at least partially describable according to a 2D channel state of said impaired data channel, wherein transmitted wireless waveforms produce channel-convoluted waveforms at said at least one wireless receiver, said method comprising;

    using at least one transmitter processor to package said data into at least one N×

    M 2D array of data symbols, and using an encoding process to transmit said array of data symbols so that every data symbol is spread over a time and frequency range of wireless signals configured to detect a 2D channel state of said impaired data channel; and

    using at least one receiver processor to receive said wireless signals, using said 2D channel state to correct said signals for said data channel impairments, and using an inverse of said encoding process to decode and extract said plurality of data symbols;

    wherein said encoding process encodes said at least one N×

    M 2D array of data symbols onto at least one symplectic-like analysis compatible manifold distributed over a column time axis of length T and row frequency axis of length F, thereby producing at least one Information manifold;

    using at least one transmitter processor to transform said at least one Information manifold according to a 2D symplectic-like Fourier transform, thereby producing at least one 2D Fourier transformed Information manifold;

    transmitting each at least one 2D Fourier transformed Information manifold by;

    overall frequencies and times of said 2D Fourier transformed Information manifold, selecting a transmitting time slice of duration proportional to Tμ

    , where μ

    =1/N, and passing those frequencies in said 2D Fourier transformed Information manifold corresponding to said transmitting time slice through a bank of at least M different, non-overlapping, narrow-band frequency filters, and transmitting resulting filtered waveforms as a plurality of at least M simultaneously transmitted mutually orthogonal waveforms, over different transmitted time intervals, until an entire 2D Fourier transformed Information manifold has been transmitted.

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