System and method for combining OTFS with QLO to minimize time-bandwidth product

1. A system for wirelessly transmitting data, comprising:

an input for receiving an input data stream;

first modulation circuitry for applying quantum level overlay (QLO) modulation to the input data stream to generate a QLO modulated data stream;

second modulation circuitry for applying quantum level orthogonal time frequency space (OTFS) modulation to the QLO modulated data stream to create an OTFS/QLO modulated data stream; and

a transmitter for transmitting the OTFS/QLO modulated data stream.

2. The system of claim 1 , further comprising:

a receiver for receiving the OTFS/QLO modulated data stream;

first demodulation circuitry for removing OTFS modulation from the OTFS/QLO modulated data stream to create the QLO modulated data stream; and

second demodulation circuitry for removing QLO modulation from the QLO modulated data stream to create the input data stream.

3. The system of claim 2 , wherein the first demodulation circuitry further implements an OFTS transform function and a Wigner transform function.

4. The system of claim 1 , wherein the QLO modulation minimizes a time-bandwidth product of the OTFS/QLO modulated data stream.

5. The system of claim 1 , wherein the QLO modulation reduces Doppler shift and delay spread in the OTFS/QLO modulated data stream.

6. The system of claim 1 , wherein the first modulation circuitry pegs a physical bandwidth to an order of a QLO function.

7. The system of claim 1 , wherein the second modulation circuitry applies the QLO modulated data stream to a bi-orthogonality condition.

8. The system of claim 7 , wherein the bi-orthogonality condition is defined by an equation:

∫ g* tx ( t ) g rx ( t−nT ) e j2πmΔf(t-nT) dt =δ( m )δ; and

further wherein the QLO modulated data steam is used for g rx and g rx functions.

9. The system of claim 1 , wherein the second modulation circuitry further implements an OFTS transform function and a Heisenberg transform function.

10. The system of claim 9 , wherein the OFTS transform function comprises mapping the QLO modulated data stream into a time-frequency domain and applying a symplectic finite Fourier transform (SFFT) to the mapped QLO modulated data stream.

11. A method for wirelessly transmitting data between a transmitter and a receiver, comprising:

receiving at an input of the transmitter an input data stream;

applying quantum level overlay (QLO) modulation to the input data stream to generate a QLO modulated data stream using first modulation circuitry;

applying quantum level orthogonal time frequency space (OTFS) modulation to the QLO modulated data stream to create an OTFS/QLO modulated data stream using second modulation circuitry; and

transmitting the OTFS/QLO modulated data stream from the transmitter.

12. The method of claim 11 , further comprising:

receiving the OTFS/QLO modulated data stream at the receiver;

removing OTFS modulation from the OTFS/QLO modulated data stream to create the QLO modulated data stream using first demodulation circuitry; and

removing QLO modulation from the QLO modulated data stream to create the input data stream using second demodulation circuitry.

13. The method of claim 12 further comprising the step of applying a Wigner transform to the OTFS/QLO modulated data stream after reception at the receiver.

14. The method of claim 11 , wherein the QLO modulation minimizes a time-bandwidth product of the OTFS/QLO modulated data stream.

15. The method of claim 11 , wherein the QLO modulation reduces Doppler shift and delay spread in the OTFS/QLO modulated data stream.

16. The method of claim 11 , wherein the step of applying quantum level overlay (QLO) modulation further comprises pegging a physical bandwidth to an order of a QLO function.

17. The method of claim 11 , wherein the step of applying the quantum level orthogonal time frequency space (OTFS) modulation further comprises applying the QLO modulated data stream to a bi-orthogonality condition.

18. The method of claim 17 , wherein the bi-orthogonality condition is defined by an equation:

∫ g* tx ( t ) g rx ( t−nT ) e j2πmΔf(t-nT) dt =δ( m )δ; and

further wherein the QLO modulated data steam is used for g rx and g rx functions.

19. The method of claim 11 , wherein the step of applying quantum level orthogonal time frequency space (OTFS) modulation further comprises:

mapping the QLO modulated data stream into a time-frequency domain; and

applying a symplectic finite Fourier transform (SFFT) to the mapped QLO modulated data stream.

20. The method of claim 11 further comprising the step of applying a Heisenberg transform to the OTFS/QLO modulated data stream prior to transmission.

21. A method for wirelessly transmitting data between a transmitter and a receiver, comprising:

receiving at an input of the transmitter an input data stream;

modulating the input data stream using Hermite-Gaussian signals to generate a first modulated data stream using first modulation circuitry;

applying quantum level orthogonal time frequency space (OTFS) modulation to the first modulated data stream to create a second modulated data stream using second modulation circuitry; and

transmitting the second modulated data stream from the transmitter.

22. The method of claim 21 , further comprising:

receiving the second modulated data stream at the receiver;

removing OTFS modulation from the second modulated data stream to create the first modulated data stream using first demodulation circuitry; and

removing modulation using the Hermite-Gaussian signals from the first modulated data stream to create the input data stream using second demodulation circuitry.

23. The method of claim 22 further comprising the step of applying a Wigner transform to the second modulated data stream after reception at the receiver.

24. The method of claim 21 , wherein the modulation using the Hermite-Gaussian signals minimizes a time-bandwidth product of the second modulated data stream.

25. The method of claim 21 , wherein the modulation using the Hermite-Gaussian signals reduces Doppler shift and delay spread in the second modulated data stream.

26. The method of claim 21 , wherein the step of modulating further comprises pegging a physical bandwidth to an order of the Hermite-Gaussian signals.

27. The method of claim 21 , wherein the step of applying the quantum level orthogonal time frequency space (OTFS) modulation further comprises applying the first modulated data stream to a bi-orthogonality condition.

28. The method of claim 27 , wherein the bi-orthogonality condition is defined by an equation:

∫ g* tx ( t ) g rx ( t−nT ) e j2πmΔf(t-nT) dt =δ( m )δ; and

further wherein the first modulated data steam is used for g rx and g rx functions.

29. The method of claim 21 , wherein the step of applying quantum level orthogonal time frequency space (OTFS) modulation further comprises:

mapping the first modulated data stream into a time-frequency domain; and

applying a symplectic finite Fourier transform (SFFT) to the mapped first modulated data stream.

30. The method of claim 21 further comprising the step of applying a Heisenberg transform to the second modulated data stream prior to transmission.