Communication system with compressive sensing
View Patent ↗Systems and methods for communication systems with compressive sensing are disclosed. In one embodiment, a method of signal processing includes receiving a data packet at a processor. The data packet includes compressively measured data in wavelet transform coefficients of a signal. The signal is reconstructed using a clustering property of the wavelet transform coefficients.
1. A method of signal processing, the method comprising:
dividing, by a processor, a given sub-band of a wavelet transform of a signal into non-overlapping regions;
measuring, by a processor, the wavelet transform coefficient residing inside each of the non-overlapping regions; and
sending a data packet comprising the measured wavelet transform coefficients to a device, the measured wavelet transform coefficients configured to be used to reconstruct the signal in accordance with a spatial clustering property of the wavelet transform coefficients, wherein the spatial clustering property corresponds to a statistical correlation between the magnitudes of wavelet transform coefficients positioned at neighboring spatial locations in a wavelet domain of the signal.
2. The method of claim 1 , further comprising:
assigning the measured wavelet transform coefficient into a measurement array;
multiplying the measurement array with an independent and identically distributed (i.i.d.) Gaussian matrix to obtain a multiplied measurement array; and
communicating the multiplied measurement array in the data packet.
3. The method of claim 1 , wherein the processor comprises a digital signal processor.
4. The method of claim 1 , wherein the processor comprises a processor on a network server.
5. The method of claim 1 , wherein the processor comprises a processor on a communications server.
6. The method of claim 1 , wherein the wavelet transform is a discrete wavelet transform.
7. The method of claim 1 , wherein the data packet is wirelessly transmitted at least in part of its route from a first network gateway server to a second network gateway server.
8. An apparatus comprising:
a processor; and
a non-transitory computer readable storage medium storing a computer program for execution by the processor, the computer program including instructions to:
divide a given sub-band of a wavelet transform of a signal into non-overlapping regions;
measure the wavelet transform coefficient residing inside each of the non-overlapping regions; and
send a data packet comprising the measured wavelet transform coefficients to a device, the measured wavelet transform coefficients configured to be used to reconstruct the signal in accordance with a spatial clustering property of the wavelet transform coefficients, wherein the spatial clustering property corresponds to a statistical correlation between the magnitudes of wavelet transform coefficients positioned at neighboring spatial locations in a wavelet domain of the signal.
9. The apparatus of claim 8 , wherein the computer program further includes instructions to:
assign the measured wavelet transform coefficient into a measurement array;
multiply the measurement array with an independent and identically distributed (i.i.d.) Gaussian matrix to obtain a multiplied measurement array; and
communicate the multiplied measurement array in the data packet.
10. The apparatus of claim 8 , wherein the processor comprises a digital signal processor.
11. The apparatus of claim 8 , wherein the processor comprises a processor on a network server.
12. The apparatus of claim 8 , wherein the processor comprises a processor on a communications server.
13. The apparatus of claim 8 , wherein the wavelet transform is a discrete wavelet transform.
14. The apparatus of claim 8 , wherein the data packet is wirelessly transmitted at least in part of its route from a first network gateway server to a second network gateway server.
15. A computer program product comprising a non-transitory computer readable storage medium storing a computer program, the computer program including instructions to:
divide a given sub-band of a wavelet transform of a signal into non-overlapping regions;
measure the wavelet transform coefficient residing inside each of the non-overlapping regions; and
send a data packet comprising the measured wavelet transform coefficients to a device, the measured wavelet transform coefficients configured to be used to reconstruct the signal in accordance with a spatial clustering property of the wavelet transform coefficients, wherein the spatial clustering property corresponds to a statistical correlation between the magnitudes of wavelet transform coefficients positioned at neighboring spatial locations in a wavelet domain of the signal.
16. The computer program product of claim 15 , wherein the computer program further includes instructions to:
assign the measured wavelet transform coefficient into a measurement array;
multiply the measurement array with an independent and identically distributed (i.i.d.) Gaussian matrix to obtain a multiplied measurement array; and
communicate the multiplied measurement array in the data packet.
17. The computer program product of claim 15 , wherein the wavelet transform is a discrete wavelet transform.
18. The computer program product of claim 15 , wherein the data packet is wirelessly transmitted at least in part of its route from a first network gateway server to a second network gateway server.