Patent ID: 7738583

Claim:
A method for reduced feedback for beamforming in a wireless communication, the method comprises: receiving a baseband signal by a transmitter that includes a plurality of streams; determining a unitary matrix V by the transmitter in response to feedback information received from a receiver, wherein the feedback information for a 2×N unitary matrix V, wherein N is a number of receiver antennas, includes angles of a unit circle ψ 1 , Φ 1 and an index bit that defines a relationship between ψ 1 and Φ 1 and wherein determining the 2×N unitary matrix includes: determining the set of angles ψ 1 and Φ 1 , ψ 2 , and Φ 2 in response to the feedback information; determining a plurality of polar coordinates represented by the 2×N unitary matrix V based on the set of angles ψ 1 and Φ 1 , ψ 2 , Φ 2 , wherein absolute value of each of the plurality of polar coordinates is a vector on a unit circle and each of the polar coordinates is orthogonal to at least one other of the polar coordinates such that VV*=V*V=I, where I represents an identity matrix; and for each column of V, a first row of polar coordinates includes real values as references and a second row of polar coordinates includes phase shift values; and digitally beamforming each of the plurality of streams of the baseband signal using the unitary matrix to produce a plurality of beamformed symbols.