Derivation of beamforming coefficients and applications thereof

1. A method for determining beamforming coefficients comprising:

obtaining channel information to determine a channel matrix H for a multiple tone communication;

generating a transpose matrix H H of the channel matrix H;

generating a transmit matrix W utilizing the channel matrix H and the transpose matrix H H , in which the transmit matrix W is derived by calculating a relationship W=H H (HH H ) −1/2 and in which the transmit matrix W provides beamforming coefficients; and

beamforming output streams using the beamforming coefficients prior to transmission of the output streams.

2. The method of claim 1 , wherein generating the transmit matrix W instead utilizes a relationship QR=H H , where Q is a unitary matrix and R is a triangular matrix, in which QR decomposition is utilized to obtain matrix Q and matrix Q is then utilized in a relationship W=QI 0 , where I 0 is an identity matrix based on a number of transmit and receive antennas, to calculate the transmit matrix W.

3. A radio frequency transmitter comprising:

baseband processing module operably coupled to convert outbound data into outbound baseband signals, wherein the baseband processing module functions to:

encode the outbound data to produce encoded data;

interleave the encoded data into a plurality of interleaved streams of encoded data;

map the plurality of interleaved streams of encoded data into a plurality of streams of symbols;

obtain channel information to determine a channel matrix H for a multiple tone communication;

generate a transpose matrix H H of the channel matrix H;

generate a transmit matrix W utilizing the channel matrix H and the transpose matrix H H , in which the transmit matrix W is derived by calculating a relationship W=H H (HH H ) −1/2 and in which the transmit matrix W provides beamforming coefficients;

beamform the plurality of streams of symbols based on the beamforming coefficients to produce a plurality of streams of beamformed symbols; and

convert the plurality of streams of beamformed symbols from a frequency domain to a time domain to produce the outbound baseband signals; and

radio frequency (RF) transmit section operably coupled to convert the outbound baseband signals into outbound RF signals.

4. The radio frequency transmitter of claim 3 , wherein when the baseband processing module generates the transmit matrix W, the baseband processing module instead generates the transmit matrix W by utilizing a relationship QR=H H , where Q is a unitary matrix and R is a triangular matrix, in which QR decomposition is utilized to obtain matrix Q and matrix Q is then utilized in a relationship W=QI 0 , where I 0 is an identity matrix based on a number of transmit and receive antennas, to calculate the transmit matrix W.

5. A radio frequency transmitter baseband processor comprises:

an encoder operably coupled to encode outbound data to produce encoded data;

an interleaving module operably coupled to interleave the encoded data into a plurality of interleaved streams of encoded data;

mapping module operably coupled to map the plurality of interleaved streams of encoded data into a plurality of streams of symbols;

beamforming module operably coupled to:

obtain channel information to determine a channel matrix H for a multiple tone communication;

generate a transpose matrix H H of the channel matrix H;

generate a transmit matrix W utilizing the channel matrix H and the transpose matrix H H , in which the transmit matrix W is derived by calculating a relationship W=H(HH H ) −1/2 and in which the transmit matrix W provides beamforming coefficients; and

beamform the plurality of streams of symbols based on the beamforming coefficients to produce a plurality of streams of beamformed symbols; and

domain conversion module operably coupled to convert the plurality of streams of beamformed symbols from a frequency domain to a time domain to produce the outbound baseband signals.

6. The radio frequency transmitter baseband processor of claim 5 , wherein when the beamforming module generates the transmit matrix W, the beamforming module instead generates the transmit matrix W by utilizing a relationship QR=H H , where Q is a unitary matrix and R is a triangular matrix, in which QR decomposition is utilized to obtain matrix Q and matrix Q is then utilized in a relationship W=QI 0 , where I 0 is an identity matrix based on a number of transmit and receive antennas, to calculate the transmit matrix W.