Blind two-dimensional-SIMO channel identification using helix transform and cross relation technique
A device, method, and non-transitory computer readable medium that for two-dimensional blind single-input multiple-output channel identification for image restoration. The method includes receiving, by a receiver having independent channels, a two-dimensional image data matrix then transforming the received two-dimensional image data matrix to a one-dimensional image vector. Channel parameters can then be estimated using the one-dimensional image vector. The method can then construct a restored image using the estimated channel parameters and the two-dimensional image data matrix.
1. A method for two-dimensional blind single-input multiple-output channel identification for image restoration performed by a receiver, the method comprising:
receiving, by two or more receiver antennas of the receiver having independent channels, a two-dimensional image data matrix;
transforming the received two-dimensional image data matrix to a one-dimensional image vector;
estimating channel parameters using the one-dimensional image vector; and
constructing a restored image using the estimated channel parameters and the two-dimensional image data matrix.
2. The system of claim 1 , wherein the transformation of the two-dimensional image data matrix to the one-dimensional image vector is performed using a helix transformation.
3. The method of claim 1 , wherein transforming the received two-dimensional image data matrix to a one-dimensional image vector comprises:
zero-padding the two-dimensional image data matrix; and
vectorizing the zero-padded two-dimensional image data matrix to form the one-dimensional image vector.
4. The method of claim 3 , transforming the received two-dimensional image data matrix to a one-dimensional image vector further comprises:
processing the one-dimensional image vector to remove tail zeroes.
5. The method of claim 1 , wherein the channel parameters are estimated using least squares minimization.
6. The method of claim 5 , wherein the least squares minimization to be solved is formed using a Cross Relation criterion.
7. The method of claim 4 , wherein the channel parameters are estimated using a deterministic identification method.
8. The method of claim 1 , wherein the two-dimensional image data matrix comprises a product of channel parameters and original image data, and additive noise.
9. The method of claim 1 , wherein the receiver comprises 2, 4, 8, 16, 32, 64, 128, or 256 receiver antennas.
10. The method of claim 1 , wherein the receiver is a mobile phone.
11. A system for two-dimensional blind single-input multiple-output channel identification for image restoration comprising:
a transmitter comprising a transmitter antenna;
a receiver comprising:
two or more transmitter antennas having independent channels and configured to receive a two-dimensional image data matrix; and
a processing module configured to perform a method including:
transforming the received two-dimensional image data matrix to a one-dimensional image vector;
estimating channel parameters using the one-dimensional image vector; and
constructing a restored image using the estimated channel parameters and the two-dimensional image data matrix.
12. The system of claim 11 , wherein the transformation of the two-dimensional image data matrix to the one-dimensional image vector is performed using a helix transformation.
13. The system of claim 11 , wherein transforming the received two-dimensional image data matrix to a one-dimensional image vector comprises:
zero-padding the two-dimensional image data matrix; and
vectorizing the zero-padded two-dimensional image data matrix to form the one-dimensional image vector.
14. The system of claim 13 , transforming the received two-dimensional image data matrix to a one-dimensional image vector further comprises:
processing the one-dimensional image vector to remove tail zeroes.
15. The system of claim 11 , wherein the channel parameters are estimated using least squares minimization.
16. The system of claim 15 , wherein the least squares minimization to be solved is formed using a Cross Relation criterion.
17. The system of claim 11 , wherein the two-dimensional image data matrix comprises a product of channel parameters and original image part, and additive noise.
18. The system of claim 11 , wherein the transmitter comprises an imaging device used to obtain the two-dimensional image data matrix.
19. The system of claim 11 , wherein the transmitter is comprised on a first mobile phone, and wherein the receiver is comprised on a second mobile phone.
20. A non-transitory computer readable medium having instructions stored therein that, when executed by one or more processors, cause the one or more processors to perform a method including:
receiving, by two or more receiver antennas of the receiver having independent channels, a two-dimensional image data matrix;
transforming the received two-dimensional image data matrix to a one-dimensional image vector;
estimating channel parameters using the one-dimensional image vector; and
constructing a restored image using the estimated channel parameters and the two-dimensional image data matrix.