Systems and methods for symplectic orthogonal time frequency shifting modulation and transmission of data
First Claim
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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Abstract
An alternative method of data communications using orthogonal time frequency shifting (OTFS) wireless waveforms configured so as to transmit data in a manner that is relatively insensitive to communications channel distortions and frequency shifts. In contrast to prior methods taught by applicant, the present disclosure teaches an alternative modulation scheme that maps data symbols intended for data transmission onto a symplectic-like 2D Fourier transform which operates on a form of the original data symbols. This 2D Fourier transform in turn is passed through a filter bank of narrow band filters, and the output in turn used to modulate transmitted waveforms according to various time slices until the entire 2D Fourier transform has been transmitted. At the receiver, and inverse of this process can be used to both characterize the data channel and correct the received signals for channel distortions, thus receiving a clear form of the original data symbols.
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Citations
18 Claims
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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;
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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; andusing 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. - View Dependent Claims (2)
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3. An automated method of wirelessly transmitting and receiving data over an impaired data channel connecting at least one wireless transmitter and at least one wireless receiver, said data comprising a plurality of data symbols, said method comprising:
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using at least one transmitter processor to package said data into at least one N×
M 2D array of data symbols, and further encoding said at least one N×
M 2D array of data symbols onto at least one symplectic 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;wherein said impaired data channel impairs said waveforms, said impairment being at least partially describable according to a 2D channel state of said channel, thereby producing channel-convoluted waveforms at said at least one wireless receiver; receiving each said at least one 2D Fourier transformed Information manifold by; over at least all frequencies and times of said 2D Fourier transformed Information manifold, using at least one receiver processor to select a receiving time slice that is less than or equal to the duration of the transmitted time intervals, and receiving these channel convoluted waveforms on each said receiving time slice through a receiving bank of at least M different, non-overlapping, narrow-band frequency filters, and receiving said channel-convoluted waveforms over every receiving time slice until an approximation of said 2D Fourier transformed Information manifold has been received; performing at least one of; a) using an inverse of said 2D symplectic-like Fourier transform to transform said approximation of said 2D Fourier transformed Information manifold into an approximation of said at least one received information manifold, and using information pertaining to said 2D channel state to correct said at least one received information manifold for said data channel impairments; b) using information pertaining to said 2D channel state to correct said approximation of said 2D Fourier transformed Information manifold for said data channel impairments, and using the inverse of said 2D symplectic-like Fourier transform to in turn produce said at least one received information manifold; and using said at least one receiver processor to decode and extract said data symbols from said at least one received information manifold. - View Dependent Claims (4, 5, 6, 7, 8, 9, 10, 11, 12, 13)
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14. A wireless communication apparatus, comprising:
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a memory that stores instructions; a processor; and a radio frequency (RF) transmitter; wherein the processor reads instructions from the memory and implements an automated method of wirelessly transmitting data over an impaired data channel, communicatively connecting the RF transmitter and at least one wireless receiver, said data comprising a plurality of data symbols, the instructions comprising; instructions for packaging said data into at least one N×
M 2D array of data symbols, and further encoding said at least one N×
M 2D array of data symbols onto at least one symplectic 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;instructions for transforming said at least one Information manifold according to a 2D symplectic-like Fourier transform, thereby producing at least one 2D Fourier transformed Information manifold; instructions for causing the RF transmitter to transmit each at least one 2D Fourier transformed Information manifold by;
over all frequencies and times of said 2D Fourier transformed Information manifold,instructions for 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;wherein said impaired data channel impairs said waveforms, said impairment being at least partially describable according to a 2D channel state of said channel, thereby producing channel-convoluted waveforms at said at least one wireless receiver. - View Dependent Claims (15, 16, 17, 18)
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Specification