System and method for communication using prolate spheroidal wave functions

• US 10,148,360 B2
• Filed: 06/15/2017
• Issued: 12/04/2018
• Est. Priority Date: 06/17/2016
• Status: Active Grant

• Current Assignee: Nxgen Partners Ip, LLC (NxGen Partners LLC)
• Original Assignee: Nxgen Partners Ip, LLC (NxGen Partners LLC)
• Inventors: Ashrafi, Solyman
• Primary Examiner(s): Payne, David C
• Assistant Examiner(s): Motsinger, Tanya T
• Application Number:
  US15/624,162
• Publication Number:
  US 20170366270A1
• Time in Patent Office: 537 Days
• CPC Class Codes: H04B 10/11 Arrangements specific to free-space transmission, i.e. transmission through air or vacuum
• CPC Class Codes: H04B 10/2581 Multimode transmission
• CPC Class Codes: H04B 10/5161 Combination of different modulation schemes
• CPC Class Codes: H04B 10/70 Photonic quantum communication
• CPC Class Codes: H04J 14/0227 Operation, administration, maintenance or provisioning [OAMP] of WDM networks, e.g. media access, routing or wavelength allocation
• CPC Class Codes: H04J 14/04 Mode multiplex systems
• CPC Class Codes: H04J 14/07 Orbital angular momentum [OAM] multiplex systems
• CPC Class Codes: H04L 27/36 Modulator circuits; Transmitter circuits
• CPC Class Codes: H04L 27/38 Demodulator circuits; Receiver circuits

Abstract

A method for transmitting a plurality of input streams from a transmitter to a receiver processes each of a plurality of input data streams to generate a plurality of parallel pairs of data streams including an in-phase stream (I) and a quadrature-phase stream (Q) for each of the plurality of input data streams. Each of the plurality of parallel pairs of data streams are modulated with a selected one of at least three prolate spheroidal wave functions, respectively, to generate a plurality of data signals, each of the plurality of data signals associated with one of the plurality of parallel pairs of data streams. A plurality of composite data streams are generated by overlaying at least one data signal of the plurality of data signals in a first data layer with the at least one data signal of the plurality of data signals in a second data layer. The plurality of composite data streams are processed to associate with each of the plurality of composite data streams an orthogonal function to cause each of the plurality of composite data streams to be mutually orthogonal to each other on the link to enable transmission of each of the plurality of the composite data streams on the link at a same time.

Claims

1. A method for transmitting a plurality of input streams from a transmitter circuitry to a receiver, comprising:

processing each of a plurality of input data streams to generate a plurality of parallel pairs of data streams including an in-phase stream (I) and a quadrature-phase stream (Q) for each of the plurality of input data streams;

modulating each of the plurality of parallel pairs of data streams with a selected one of at least three prolate spheroidal wave functions, respectively, to generate a plurality of data signals, each of the plurality of data signals associated with one of the plurality of parallel pairs of data streams;

generating a plurality of composite data streams by overlaying at least one data signal of the plurality of data signals in a first data layer with the at least one data signal of the plurality of data signals in a second data layer; and

processing the plurality of composite data streams to associate with each of the plurality of composite data streams an orthogonal function to cause each of the plurality of composite data streams to be mutually orthogonal to each other on a link to enable transmission of each of the plurality of the composite data streams on the link at a same time.

2. The method of claim 1 further comprising the steps of:

receiving the plurality of composite data streams on the link;

separating each of the plurality of composite data streams having the orthogonal function from each other;

demodulating the orthogonal function from each of the plurality of composite data streams; and

demodulating the plurality of composite data streams into the plurality of input data streams using the at least three prolate spheroidal wave functions previously applied to the plurality of parallel pairs of data streams.

3. The method of claim 1 further comprising mapping each of the plurality of input data streams to a set of quadrature amplitude modulation (QAM) symbols to generate the plurality of parallel pairs of data streams.

4. The method of claim 1, wherein modulating each of the plurality of pairs of parallel data streams with the selected one of the at least three prolate spheroidal wave functions further comprises weighting the function based on a mapped symbol.

5. The method of claim 1, wherein the at least three prolate spheroidal wave functions are concentrated in a limited time interval and comprise normalized eigenfunctions.

6. The method of claim 1 further including:

(a) analyzing a channel environment of the link;

(b) selecting a level of at least one of prolate spheroidal waveform processing, mode division multiplexing processing, and quadrature amplitude modulation processing to improve channel impairments and interference;

(c) transmitting the plurality of composite date streams using the selected level of at least one of the prolate spheroidal waveform processing, the mode division multiplexing processing, and the quadrature amplitude modulation processing; and

(d) repeating steps (a)-(c) until a desired channel environment is achieved.

7. The method of claim 1, wherein the step of generating further comprises pegging a largest bandwidth signal of the plurality of composite data streams to an available physical bandwidth on the link.

8. The method of claim 1, wherein the step of generating further comprises shifting a center frequency of data signals in a layer to enable to place more data signals within the layer.

9. A system, comprising:

first signal processing circuitry for;

processing each of a plurality of input data streams to generate a plurality of parallel pairs of data streams including an in-phase stream (I) and a quadrature-phase stream (Q) for each of the plurality of input data streams,

modulating each of the plurality of parallel pairs of data streams with a selected one of at least three prolate spheroidal wave functions, respectively, to generate a plurality of data signals, each associated with one of the plurality of parallel pairs of data streams,

generating a plurality of composite data streams by overlaying at least one data signal of the plurality of data signals in a first data layer with at least one data signal of the plurality of data signals in a second data layer,

second signal processing circuitry for processing the plurality of composite data streams to associate with each of the plurality of composite data streams an orthogonal function to cause each of the plurality of composite data streams to be mutually orthogonal to each other on a link to enable transmission of each of the plurality of the composite data streams on the link at a same time; and

a transmitter for transmitting the plurality of composite data streams on the link at the same time.

10. The system of claim 9, further including:

a receiver for receiving the plurality of composite data streams on the link;

a signal separator for separating each of the plurality of composite data streams having the orthogonal function applied thereto by the second signal processing circuitry from each other;

third signal processing circuitry for removing the orthogonal function applied thereto by the second signal processing circuitry from each of the plurality of composite data streams; and

fourth signal processing circuitry for demodulating the plurality of composite data streams into the plurality of input data streams using the prolate spheroidal wave functions previously applied to the plurality of parallel pairs of data streams.

11. The system of claim 9, wherein the first signal processing circuitry further maps each of the plurality of input data streams to a set of quadrature amplitude modulation (QAM) symbols to generate the plurality of parallel pairs of data streams.

12. The system of claim 9, wherein the first signal processing circuitry further modulates each of the plurality of pairs of parallel data streams with the selected one of at least three prolate spheroidal wave functions further by weighting the function based on a mapped symbol.

13. The system of claim 9, wherein the prolate spheroidal wave functions are concentrated in a limited time interval and comprise normalized eigenfunctions.

14. The system of claim 9, wherein the first signal processing circuitry further:

(e) analyzes a channel environment of the link;

(f) selects a level of at least one of prolate spheroidal waveform processing, mode division multiplexing processing, and quadrature amplitude modulation processing to improve channel impairments and interference;

(g) transmits the plurality of composite date streams using the selected level of at least one of the prolate spheroidal waveform processing, the mode division multiplexing processing, and the quadrature amplitude modulation processing; and

(h) repeats (a)-(c) until a desired channel environment is achieved.

15. The system of claim 9, wherein the first signal processing circuitry generates the plurality of composite data streams by pegging a largest bandwidth signal of the plurality of composite data streams to an available physical bandwidth on the link.

16. The system of claim 9, wherein the first signal processing circuitry generates the plurality of composite data streams by shifting a center frequency of data signals in a layer to enable to place more data signals within the layer.

17. A method for transmitting a plurality of input streams from a transmitter to a receiver, comprising:

mapping each of a plurality of input data streams to a set of quadrature amplitude modulation (QAM) symbols to generate a plurality of parallel pairs of data streams including an in-phase stream (I) and a quadrature-phase stream (Q) for each of the plurality of input data streams;

modulating each of the plurality of parallel pairs of data streams with a selected one of at least three prolate spheroidal wave functions, respectively, to generate a plurality of data signals, each of the plurality of data signals associated with one of the plurality of parallel pairs of data streams, wherein the prolate spheroidal wave functions are concentrated in a limited time interval and comprise normalized eigenfunctions;

generating a plurality of composite data streams by overlaying at least one data signal of the plurality of data signals in a first data layer with the at least one data signal of the plurality of data signals in a second data layer;

processing the plurality of composite data streams to associate with each of the plurality of composite data streams an orthogonal function to cause each of the plurality of composite data streams to be mutually orthogonal to each other on a link to enable transmission of each of the plurality of the composite data streams on the link at a same time; and

receiving the plurality of composite data streams on the link;

separating each of the plurality of composite data streams having the orthogonal function from each other;

demodulating the orthogonal function from each of the plurality of composite data streams; and

demodulating the plurality of composite data streams into the plurality of input data streams using the prolate spheroidal wave functions previously applied to the plurality of parallel pairs of data streams.

18. The method of claim 17, wherein modulating each of the plurality of pairs of parallel data streams with the selected one of at least three prolate spheroidal wave functions further comprises weighting the function based on a mapped symbol.

19. The method of claim 17 further including:

(i) analyzing a channel environment of the link;

(j) selecting a level of at least one of prolate spheroidal waveform processing, mode division multiplexing processing, and quadrature amplitude modulation processing to improve channel impairments and interference;

(k) transmitting the plurality of composite date streams using the selected level of at least one of the prolate spheroidal waveform processing, the mode division multiplexing processing, and the quadrature amplitude modulation processing; and

(l) repeating steps (a)-(c) until a desired channel environment is achieved.

20. The method of claim 17, wherein the step of generating further comprises pegging a largest bandwidth signal of the plurality of composite data streams to an available physical bandwidth on the link.

21. The method of claim 17, wherein the step of generating further comprises shifting a center frequency of data signals in a layer to enable to place more data signals within the layer.