MMSE method and system
Methods and apparatus for reducing complexity of MMSE computations in a receiver are disclosed. According to these methods and apparatus, a first MMSE matrix is computed for a first sub-carrier in a pre-defined group of sub-carriers of a received transmission frame at a receiver. The first MMSE is based on a pilot signal of the first sub-carrier. The first MMSE matrix may then be phase shifted to compute a second MMSE matrix for a second sub-carrier in the group, the phase shifting based on a variation in column and row between the pilot signal of the first sub-carrier and a symbol of the second sub-carrier of the transmission frame.
1. A method of computing Minimum Mean Squared Error (MMSE) matrices to reduce interference between multiple input multiple output (MIMO) streams in a wireless network, the method comprising:
computing, by a receiver, a first MMSE matrix for a first sub-carrier in a pre-defined group of sub-carriers in a received Orthogonal Frequency Division Multiplexing/Orthogonal Frequency Division Multiple Access (OFDM/OFDMA) transmission frame, said first MMSE matrix based on a pilot signal of said first sub-carrier; and
phase-shifting said computed first MMSE matrix at said receiver to compute a second MMSE matrix for a second sub-carrier in said predefined group of sub-carriers, said phase shifting based on a variation in column and row between said pilot signal of said first sub-carrier and a symbol of said second sub-carrier of said transmission frame.
2. The method according to claim 1 , wherein said phase shifting said computed first MMSE matrix to compute said second MMSE matrix is performed as:
V F·H·E =F·V H ·E =( f i ·[V H ] ij ·e j ) i=1 . . . , N,j=1, . . . , M
in which V H is said first MMSE matrix of size N×M; V F·H·E is said second MMSE matrix of size N×M; e 1 , e 2 , . . . e M , f 1 , f 2 , . . . f N are scalars that represent said phase shifting; E=diag(e 1 , e 2 , . . . e M ), and F=diag(f 1 , f 2 , . . . f N ).
3. The method according to claim 2 , wherein e 1 , e 2 , . . . e M , and f 1 , f 2 , . . . f N comprise complex scalars.
4. The method according to claim 2 , wherein |e j |=1 for j=1, . . . , M, and |f i |=1 for i=1, . . . , N.
5. The method according to claim 1 , further comprising:
determining a per-column phase shift associated with said transmission frame; and
determining a per-row phase shift associated with said transmission frame;
wherein said phase shifting is further based on said per-column phase shift and said per-row phase shift.
6. The method according to claim 1 , further comprising:
performing one MMSE calculation for the transmission frame to compute said first MMSE matrix; and
computing at least one separate MMSE matrix for a plurality of other subcarriers of said transmission frame by phase shifting said computed first MMSE matrix.
7. The method according to claim 6 , further comprising:
computing at least one separate MMSE matrix for each of other the subcarriers of said transmission frame by phase shifting said computed first MMSE matrix.
8. The method according to claim 1 , wherein said transmission frame comprises an LTE resource block.
9. The method according to claim 1 , wherein said transmission frame comprises a WiMAX tile.
10. An apparatus for computing Minimum Mean Squared Error (MMSE) matrices to reduce interference between multiple input multiple output (MIMO) streams, comprising:
means for computing a first MMSE matrix for a first sub-carrier in a pre-defined group of subcarriers in a received Orthogonal Frequency Division Multiplexing/Orthogonal Frequency Division Multiple Access (OFDM/OFDMA) transmission frame, said first MMSE matrix based on a pilot signal of said first sub-carrier; and
means for phase-shifting said computed first MMSE matrix to compute a second MMSE matrix for a second sub-carrier in said pre-defined group of subcarriers, said phase-shifting based on a variation in column and row between said pilot signal of said first sub-carrier and a symbol of said second sub-carrier of said transmission frame.
11. The apparatus according to claim 10 , wherein said phase shifting said computed first MMSE matrix to compute said second MMSE matrix is performed as:
V F·H·E =F·V H ·E =( f i ·[V H ] ij ·e j ) i=1 . . . , N,j=1, . . . , M
in which V H is said first MMSE matrix of size N×M; V F·H·E is said second MMSE matrix of size N×M; e 1 , e 2 , . . . e M , f 1 , f 2 , . . . f N are scalars that represent said phase shifting; E=diag(e 1 , e 2 , . . . e M ), and F=diag(f 1 , f 2 , . . . f N ).
12. The apparatus according to claim 11 , wherein e 1 , e 2 , . . . e M , and f 1 , f 2 , . . . f N comprise complex scalars.
13. The apparatus to claim 11 , wherein |e j |=1 for j=1, . . . , M, and |f i |=1 for i=1, . . . , N.
14. The apparatus according to claim 10 , further comprising:
means for determining a per-column phase shift associated with said transmission frame; and
means for determining a per-row phase shift associated with said transmission frame;
wherein said phase shifting is further based on said per-column phase shift and said per-row phase shift.
15. The apparatus according to claim 10 , further comprising:
means for performing one MMSE calculation for the transmission frame to compute said first MMSE matrix; and
means for computing at least one separate MMSE matrix for a plurality of other subcarriers of said transmission frame by phase shifting said computed first MMSE matrix.
16. The apparatus according to claim 15 , further comprising:
means for computing at least one separate MMSE matrix for each of other the subcarriers of said transmission frame by phase shifting said computed first MMSE matrix.
17. The apparatus according to claim 10 , wherein said transmission frame comprises an LTE resource block.
18. The apparatus according to claim 10 , wherein said transmission frame comprises a WiMAX tile.