System and method for communication using orbital angular momentum with multiple layer overlay modulation

1. A system, comprising:

first signal processing circuitry for transmitting a signal including a plurality of input data streams over a link, the first signal processing circuitry further comprising:

first circuitry for processing each of the 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 mutually orthogonal functions and each of the plurality of parallel pairs of data streams at a different signal width, 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 first data signal of the plurality of data signals in a first data layer with at least one second data signal of the plurality of data signals in a second data layer; and

second circuitry for processing the plurality of composite data streams to associate with each of the plurality of composite data streams a function to provide minimization of a time-bandwidth product of the plurality of composite data streams to enable transmission of each of the plurality of composite data streams on the link at a same time;

second signal processing circuitry for receiving the plurality of composite data streams on the link, the second signal processing circuitry further comprising:

a signal separator for separating each of the plurality of composite data streams having the function to provide minimization of the time-bandwidth product applied thereto by the second circuitry from each other;

third circuitry for removing the function to provide minimization of the time-bandwidth product of the plurality of composite data streams applied thereto by the second circuitry from each of the plurality of composite data streams; and

fourth circuitry for demodulating the plurality of composite data streams into the plurality of input data streams.

2. The system of claim 1 , wherein the link further comprises at least one of a fiber optic link, a multi-mode fiber, a free space optics link and an RF link.

3. The system of claim 1 , wherein the time bandwidth product takes a form of ½(2n+1) where n is an integer ranging from 0 to infinity.

4. The system of claim 1 , wherein the at least three mutually orthogonal functions comprises a plurality of time-limited and band-limited functions.

5. The communications system of claim 1 , wherein the at least three mutually orthogonal functions comprises at least one of a plurality of modified Hermite polynomials, Jacobi polynomials, Gegenbauer polynomials, Legendre polynomials, Chebyshev polynomials and Laguerre functions.

6. The system of claim 1 , wherein the at least three mutually orthogonal functions comprises a plurality of rectangular, cylindrical, and spherical functions.

7. A system, comprising:

first signal processing circuitry for transmitting a signal including a plurality of input data streams over a link, wherein the link further comprises at least one of a fiber optic link, a multi-mode fiber link, a free space optics link and an RF link, the first signal processing circuitry further comprising:

first circuitry for processing each of the 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 mutually orthogonal functions and each of the plurality of parallel pairs of data streams at a different signal width, respectively, to generate a plurality of data signals, each associated with one of the plurality of parallel pairs of data streams, and

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

second circuitry for processing the plurality of composite data streams to associate with each of the plurality of composite data streams a function to provide minimization of a time-bandwidth product of the plurality of composite data streams to enable transmission of each of the plurality of composite data streams on the link at a same time;

second signal processing circuitry for receiving the plurality of composite data streams over the link, the second signal processing circuitry further comprising:

a signal separator for separating each of the plurality of composite data streams having the function to provide minimization of the time-bandwidth product applied thereto by the second circuitry from each other;

third circuitry for removing the function to provide minimization of the time-bandwidth product of the plurality of composite data streams applied thereto by the second circuitry from each of the plurality of composite data streams; and

fourth circuitry for demodulating the plurality of composite data streams into the plurality of input data streams.

8. The system of claim 7 , wherein the time bandwidth product takes a form of ½(2n+1) where n is an integer ranging from 0 to infinity.

9. The system of claim 7 , wherein the at least three mutually orthogonal functions comprises at least one of a plurality of time-limited and band-limited functions, rectangular functions, cylindrical functions and spherical functions.

10. The system of claim 7 , wherein the at least three mutually orthogonal functions comprises at least one of a plurality of modified Hermite polynomials, Jacobi polynomials, Gegenbauer polynomials, Legendre polynomials, Chebyshev polynomials and Laguerre functions.

11. A method for providing a plurality of input data streams from first signal processing circuitry to second signal processing circuitry over a link, comprising:

receiving the plurality of input data streams;

processing each of the 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 mutually orthogonal functions and each of the plurality of parallel pairs at a different signal width, respectively, to generate a plurality of data signals, each associated with one of the plurality of parallel pairs of data streams, and

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

applying a function to provide minimization of a time-bandwidth product of the plurality of composite data streams to enable transmission of each of the plurality of composite data streams on the link at a same time;

placing the plurality of composite data streams on the link, each of the plurality of composite data streams having the function associated therewith to enable each of the plurality of composite data streams on the link at a same time;

receiving the plurality of composite data streams on the link;

separating each of the plurality of composite data streams having the function to provide minimization of the time-bandwidth product applied thereto from each other;

demodulating the function to provide minimization of the time-bandwidth product from each of the plurality of composite data streams; and

demodulating the plurality of composite data streams into the plurality of input data streams.

12. The method of claim 11 , wherein the link further comprises at least one of a fiber optic link, a multi-mode fiber, a free space optics link and an RF link.

13. The method of claim 11 , wherein the time bandwidth product takes a form of ½(2n+1) where n is an integer ranging from 0 to infinity.

14. The method of claim 11 , wherein the at least three mutually orthogonal functions comprises at least one of a plurality of time-limited and band-limited functions, rectangular functions, cylindrical functions and spherical functions.

15. The method of claim 11 , wherein the at least three mutually orthogonal functions comprises a plurality of at least one of modified Hermite polynomials, Jacobi polynomials, Gegenbauer polynomials, Legendre polynomials, Chebyshev polynomials and Laguerre functions.