Codebook and pre-coder selection for closed-loop mimo

1. A method of transmitting a communication signal, comprising the steps of:

receiving a data signal;

receiving a codeword index from a remote transceiver;

selecting a codeword from a Householder matrix based codebook in response to the index;

pre-coding the data signal in response to the selected codeword; and

transmitting the precoded data signal.

2. A method as in claim 1 , wherein the Householder matrix comprises the form

W

=

I

-

2

⁢

⁢

u

⁢

⁢

u

H



u



2

,

wherein u is a unit vector, W is a codeword, H is a channel estimate, I is a matrix.

3. A method as in claim 1 , wherein the codebook comprises a plurality of Householder matrices.

4. A method as in claim 1 , wherein the codeword is a sub-matrix of a Householder matrix.

5. A method as in claim 1 , comprising the step of orthogonal frequency division modulating the precoded data signal prior to the step of transmitting.

6. A method as in claim 1 , wherein the step of transmitting comprises transmitting from a plurality of transmit antennas.

7. A method as in claim 1 , wherein the remote transmitter includes a copy of the Householder matrix based codebook.

8. A method of transmitting a communication signal, comprising the steps of:

receiving a data signal;

receiving a codeword index from a remote transceiver;

selecting a codeword from a Householder matrix based codebook in response to the index, wherein the Householder matrix comprises the form W=I−2uu H , wherein u is a unit vector, W is a codeword, H is a channel estimate, I is a matrix;

pre-coding the data signal in response to the selected codeword: and

transmitting the precoded data signal.

9. A method of transmitting a communication signal, comprising the steps of:

receiving a data signal;

receiving a codeword index from a remote transceiver:

receiving a rank selection from the remote transceiver;

selecting a codeword from a Householder matrix based codebook in response to the index and the rank selection:

pre-coding the data signal in response to the selected codeword: and

transmitting the precoded data signal.

10. A transmitter, comprising:

a decode circuit coupled to receive an input signal from a remote transceiver and produce a codeword index;

a select circuit coupled to receive the codeword index, the select circuit selecting a codeword from a Householder matrix based codebook in response to the codeword index;

a pre-coder circuit coupled to receive a data signal and the codeword, the pre-coder circuit arranged to pre-code the data signal; and

a modulator circuit arranged to modulate the pre-coded data signal.

11. A transmitter as in claim 10 , wherein the Householder matrix comprises the form

W

=

I

-

2

⁢

⁢

u

⁢

⁢

u

H



u



2

,

wherein u is a unit vector, W is a codeword, H is a channel estimate, I is a matrix.

12. A transmitter as in claim 10 , wherein the codeword is a Householder matrix.

13. A transmitter as in claim 10 , wherein the selected codeword is a sub-matrix of a Householder matrix.

14. A transmitter as in claim 10 , wherein the modulator circuit is an orthogonal frequency division modulator (OFOM).

15. A transmitter as in claim 10 , comprising a plurality of transmit antennas.

16. A transmitter as in claim 10 , wherein the remote transmitter includes a copy of the Householder matrix based codebook.

17. A transmitter, comprising:

a decode circuit coupled to receive an input signal from a remote transceiver and produce a codeword index and a rank selection from the input signal;

a select circuit coupled to receive the codeword index, the select circuit selecting a codeword from a Householder matrix based codebook in response to the codeword index and the rank selection;

a pre-coder circuit coupled to receive a data signal and the codeword, the pre-coder circuit arranged to pre-code the data signal; and

a modulator circuit arranged to modulate the pre-coded data signal.

18. A method of receiving a communication signal, comprising the steps of:

receiving a signal from a remote transceiver;

selecting a codeword from a Householder matrix based codebook in response to a performance metric; and

transmitting an index of the selected codeword to the remote transmitter.

19. A method as in claim 18 , wherein the Householder matrix comprises the form

W

=

I

-

2

⁢

⁢

u

⁢

⁢

u

H



u



2

,

wherein u is a unit vector, W is a codeword, H is a channel estimate, I is a matrix.

20. A method as in claim 18 , wherein the selected codeword is a Householder matrix.

21. A method as in claim 18 , wherein the selected codeword is a sub-matrix of a Householder matrix.

22. A method as in claim 18 , wherein the received signal comprises an orthogonal frequency division multiplex (OFDM) signal.

23. A method as in claim 18 , wherein the step of receiving comprises receiving from a plurality of receive antennas.

24. A method as in claim 18 , wherein the remote transceiver includes a copy of the Householder matrix based codebook.

25. A method of receiving a communication signal, comprising the steps of:

receiving a signal from a remote transceiver:

selecting a codeword from a Householder matrix based codebook in response to a performance metric, wherein the Householder matrix comprises the form W=I N −2uu H , wherein u is a unit vector, W is a codeword, H is a channel estimate, I is a matrix: and

transmitting an index of the selected codeword to the remote transmitter.

26. A method of receiving a communication signal, comprising the steps of:

receiving a signal from a remote transceiver;

selecting a codeword from a Householder matrix based codebook in response to a performance metric;

selecting a rank; and

transmitting an index of the selected codeword and the rank to the remote transceiver.

27. A receiver, comprising:

an input circuit coupled to receive an input signal from a remote transceiver and produce a performance metric;

a select circuit coupled to receive the performance metric, the select circuit selecting a codeword from a Householder matrix based codebook in response to the performance metric; and

an output circuit arranged to transmit an index of the selected codeword to the remote transceiver.

28. A receiver as in claim 27 , wherein the selected codeword is a Householder matrix.

29. A receiver as in claim 27 , wherein the selected codeword is a sub-matrix of a Householder matrix.

30. A receiver as in claim 27 , wherein the selected codeword is a sub-matrix of a Householder matrix.

31. A receiver as in claim 27 , wherein the input signal comprises an orthogonal frequency division multiplex (OFDM) signal.

32. A receiver as in claim 27 , comprising a plurality of receive antennas.

33. A receiver as in claim 27 , wherein the remote transceiver includes a copy of the Householder matrix based codebook.

34. A receiver, comprising:

an input circuit coupled to receive an input signal from a remote transceiver and produce a performance metric:

a select circuit coupled to receive the performance metric, the select circuit selecting a codeword from a Householder matrix based codebook in response to the performance metric, wherein the Householder matrix comprises the form

W

=

I

-

2

⁢

⁢

u

⁢

⁢

u

H



u



2

,

wherein u is a unit vector, W is a codeword, H is a channel estimate, I is a matrix: and

an output circuit arranged to transmit an index of the selected codeword to the remote transceiver.

35. A receiver, comprising:

an input circuit coupled to receive an input signal from a remote transceiver and produce a performance metric:

a select circuit coupled to receive the performance metric, the select circuit further selects a codeword from a Householder matrix based codebook and a rank in response to the performance metric; and

an output circuit arranged to transmits an index of the selected codeword and the rank to the remote transceiver.