Method and system for quantization for a general beamforming matrix in feedback information
Aspects of a method and system for utilizing Givens rotation expressions for quantization for a general beamforming matrix in feedback information. In one aspect of the invention, feedback information is computed at the receiving MIMO wireless device based on a geometric mean decomposition (GMD) method. The feedback information may include a matrix that describes a wireless medium. The matrix may represent a multiplicative product of at least one rotation matrix and at least one diagonal phase rotation matrix. Each of the rotation matrices may include at least one matrix element whose value is based on Givens rotation angle. The transmitting MIMO wireless device may subsequently transmit a plurality of signals via the wireless medium based on the received matrix information. The signal strength and/or signal to noise ratio (SNR) measurement (as measured in decibels, for example) associated with each of the transmitted plurality of signals may be about equal.
1. A method for processing signals in a communication system, the method comprising:
receiving a matrix for a wireless medium, which comprises a multiplicative product of at least one rotation matrix and at least one diagonal phase rotation matrix, wherein each of said at least one rotation matrix comprises at least one matrix element whose value is based on a Givens rotation angle; and
transmitting a plurality of signals via said wireless medium based on feedback information, wherein a signal to noise ratio (SNR) measurement associated with each of said plurality of signals is substantially equal.
2. The method according to claim 1 , wherein a value associated with each matrix element in a last row of said received matrix is represented as a real number.
3. The method according to claim 2 , further comprising computing a phase rotated matrix by multiplying said received matrix by a diagonal phase rotation matrix.
4. The method according to claim 3 , wherein a value associated with each matrix element in a first column of said phase rotated matrix is represented as a real number.
5. The method according to claim 4 , further comprising computing a product matrix based on a multiplicative product of said phase rotated matrix and at least one phase rotation matrix.
6. The method according to claim 5 , wherein each of said at least one phase rotation matrix comprises at least one matrix element the value of which is based on a Givens rotation angle.
7. The method according to claim 5 , wherein said product matrix comprises an identity matrix and a second matrix.
8. The method according to claim 7 , wherein said second matrix comprises one row and one column less than said received matrix.
9. The method according to claim 1 , further comprising computing a subsequent product matrix based on a multiplicative product of said received matrix, at least one diagonal phase rotation matrix, and at least one phase rotation matrix.
10. The method according to claim 9 , further comprising computing a phase rotated intermediate matrix by multiplying an intermediate matrix by a corresponding one of said at least one diagonal phase rotation matrix.
11. The method according to claim 10 , wherein a value associated with each matrix element in a corresponding column of said phase rotated intermediate matrix is represented as a real number.
12. The method according to claim 9 , wherein said subsequent product matrix comprises an identity matrix and a subsequent matrix.
13. The method according to claim 12 , wherein said subsequent matrix comprises at least one row and at least one column less than said received matrix.
14. A system for processing signals in a communication system, the system comprising:
a processor that enables receipt of a matrix for a wireless medium, which comprises a multiplicative product of at least one rotation matrix and at least one diagonal phase rotation matrix, wherein each of said at least one rotation matrix comprises at least one matrix element whose value is based on a Givens rotation angle; and
a transmitter that enables transmission of a plurality of signals via said wireless medium based on feedback information, wherein a signal to noise ratio (SNR) measurement associated with each of said plurality of signals is substantially equal.
15. The system according to claim 14 , wherein a value associated with each matrix element in a last row of said received matrix is represented as a real number.
16. The system according to claim 15 , wherein said processor enables computation of a phase rotated matrix by multiplying said received matrix by a diagonal phase rotation matrix.
17. The system according to claim 16 , wherein a value associated with each matrix element in a first column of said phase rotated matrix is represented as a real number.
18. The system according to claim 17 , wherein said processor enables computation of a product matrix based on a multiplicative product of said phase rotated matrix and at least one phase rotation matrix.
19. The system according to claim 18 , wherein each of said at least one phase rotation matrix comprises at least one matrix element the value of which is based on a Givens rotation angle.
20. The system according to claim 18 , wherein said product matrix comprises an identity matrix and a second matrix.
21. The system according to claim 20 , wherein said second matrix comprises one row and one column less than said received matrix.
22. The system according to claim 14 , wherein said processor enables computation of a subsequent product matrix based on a multiplicative product of said received matrix, at least one diagonal phase rotation matrix, and at least one phase rotation matrix.
23. The system according to claim 22 , wherein said processor enables computation of an phase rotated intermediate matrix by multiplying an intermediate matrix by a corresponding one of said at least one diagonal phase rotation matrix.
24. The system according to claim 23 , wherein a value associated with each matrix element in a corresponding column of said phase rotated intermediate matrix is represented as a real number.
25. The system according to claim 22 , wherein said subsequent product matrix comprises an identity matrix and a subsequent matrix.
26. The system according to claim 25 , wherein said subsequent matrix comprises at least one row and at least one column less than said received matrix.