Patent ID: 7738584

Claim:
A method for beamforming a wireless communication, the method comprises: receiving a baseband signal by a transmitter that includes a plurality of streams; receiving a feedback signal by the transmitter from a receiver of the wireless communication that includes a subset of anglesψ 1 and Φ 1 , wherein a set of angles ψ 1 and Φ 1 , ψ 2 , and Φ 2 provide polar coordinates for a unitary 2×2 matrix V, wherein VV*=I and I represents an identity matrix; determining the angles ψ 2 and Φ 2 based on the subset of angles ψ 1 and Φ 1 , wherein ψ 2 and Φ 2 are determined by solving absolute value of ψ 1 −ψ 2 =/2 and Φ 1 =Φ 2 or Φ 1 =Φ 2 +π and ψ 1 +ψ 2 =π/2; determining the polar coordinates for the unitary matrix based on the set of angles ψ 1 and Φ 1 , ψ 2 , and Φ 2 ; and digitally beamforming the plurality of streams of the baseband signal using the unitary matrix to produce a plurality of beamformed symbols.