Symplectic orthogonal time frequency space modulation system
First Claim
Patent Images
1. A method of transmitting data over a communication channel, the method comprising:
- receiving a plurality of information symbols;
encoding an N×
M array containing the plurality of information symbols into a two-dimensional array of modulation symbols by spreading each of the plurality of information symbols with respect to both time and frequency wherein the encoding includes;
transforming the N×
M array into an array of filtered OFDM symbols using at least one Fourier transform and a filtering process;
transforming the array of filtered OFDM symbols into an array of orthonormal time-frequency shifting (OTFS) symbols using at least one two-dimensional Fourier transform wherein the array of OTFS symbols corresponds to the two-dimensional array of modulation symbols; and
transmitting the two-dimensional array of modulation symbols using M mutually orthogonal waveforms included within M frequency sub-bands.
2 Assignments
0 Petitions
Accused Products
Abstract
A system and method for orthogonal time frequency space communication and waveform generation. The method includes receiving a plurality of information symbols and encoding an N×M array containing the plurality of information symbols into a two-dimensional array of modulation symbols by spreading each of the plurality of information symbols with respect to both time and frequency. The two-dimensional array of modulation symbols is then transmitted using M mutually orthogonal waveforms included within M frequency sub-bands.
175 Citations
21 Claims
-
1. A method of transmitting data over a communication channel, the method comprising:
-
receiving a plurality of information symbols; encoding an N×
M array containing the plurality of information symbols into a two-dimensional array of modulation symbols by spreading each of the plurality of information symbols with respect to both time and frequency wherein the encoding includes;transforming the N×
M array into an array of filtered OFDM symbols using at least one Fourier transform and a filtering process;transforming the array of filtered OFDM symbols into an array of orthonormal time-frequency shifting (OTFS) symbols using at least one two-dimensional Fourier transform wherein the array of OTFS symbols corresponds to the two-dimensional array of modulation symbols; and transmitting the two-dimensional array of modulation symbols using M mutually orthogonal waveforms included within M frequency sub-bands. - View Dependent Claims (2)
-
-
3. A method of transmitting data over a communication channel, the method comprising:
-
receiving a plurality of information symbols; encoding an N×
M array containing the plurality of information symbols into a two-dimensional array of modulation symbols by spreading each of the plurality of information symbols with respect to both time and frequency wherein the encoding includes combining an inverse symplectic transform with a windowing operation; andtransmitting the two-dimensional array of modulation symbols using M mutually orthogonal waveforms included within M frequency sub-bands.
-
-
4. A method of transmitting data over a communication channel, the method comprising:
-
receiving a plurality of information symbols; encoding an N×
M array containing the plurality of information symbols into a two-dimensional array of modulation symbols by spreading each of the plurality of information symbols with respect to both time and frequency wherein the encoding is performed in accordance with the following relationship;
-
-
5. An automated method of wireless communication over an impaired data channel, the method comprising:
-
receiving a plurality of data symbols; encoding an N×
M two-dimensional array containing the plurality of data symbols into a two-dimensional array of modulation symbols by spreading each of the plurality of data symbols using a set of cyclically time-shifted and frequency-shifted basis functions; andtransmitting the two-dimensional array of modulation symbols using M mutually orthogonal wireless waveforms included within M frequency sub-bands. - View Dependent Claims (6, 7, 8, 9, 10)
-
-
11. An automated method of wirelessly communicating data over an impaired data channel, the method comprising:
-
encoding an N×
M two-dimensional array containing a plurality 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;transforming said at least one Information manifold according to a two-dimensional symplectic-like Fourier transform, thereby producing at least one two-dimensional Fourier transformed Information manifold; and transmitting each at least one two-dimensional Fourier transformed Information manifold by; over all frequencies and times of said two-dimensional Fourier transformed Information manifold, selecting a transmitting time slice of duration proportional to Tμ
, where μ
=1/N, and passing those frequencies in said two-dimensional 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 two-dimensional Fourier transformed Information manifold has been transmitted. - View Dependent Claims (12, 13, 14, 15, 16, 17, 18, 19)
-
-
20. A communication device, comprising:
-
a wireless transmitter; a processor; and a memory including program code executable by the processor, the program code including code for causing the processor to; receive a plurality of information symbols; encode an N×
M array containing the plurality of information symbols into a two-dimensional array of modulation symbols by spreading each of the plurality of information symbols with respect to both time and frequency; andtransmit the two-dimensional array of modulation symbols using M mutually orthogonal waveforms included within M frequency sub-bands; wherein the code for causing the processor to encode includes code for causing the processor to; transform the N×
M array into an array of filtered OFDM symbols using at least one Fourier transform and a filtering process;transform the array of filtered OFDM symbols into an array of orthonormal time-frequency shifting (OTFS) symbols using at least one two-dimensional Fourier transform.
-
-
21. A communication device, comprising:
-
a wireless transmitter; a processor; and a memory including program code executable by the processor, the program code including code for causing the processor to; receive a plurality of information symbols; encode an N×
M array containing the plurality of information symbols into a two-dimensional array of modulation symbols by spreading each of the plurality of information symbols with respect to both time and frequency; andtransmit the two-dimensional array of modulation symbols using M mutually orthogonal waveforms included within M frequency sub-bands; wherein the code for causing the processor to encode includes code for causing the processor to combine an inverse symplectic transform with a windowing operation.
-
Specification