Patent ID: 8868009

Claim:
A method for multi-beam forming based on joint receiving and transmitting end information, and the method comprises: a transmitting end executing geometric mean decomposition (GMD) on a channel matrix H to obtain a unitary matrix P; and the transmitting end taking the unitary matrix P as a weight matrix of GMD beam forming, and executing multi-beam forming processing on an original transmission signal x; wherein: the step of the transmitting end executing the GMD on the channel matrix H comprises: the transmitting end executing geometric mean decomposition on the channel matrix H: H=QRP −1 , where Q and P are unitary matrixes, a superscript −1 is a conjugate transpose operator, that is, satisfying Q −1 Q=P −1 P=I K 1 ,K 2 , where I is a unit matrix, subscripts K 1 and K 2 respectively denote numbers of rows and columns of a matrix, K 1 =K 2 K=, where K is a rank of the channel matrix H, R is an upper triangular matrix with same diagonal elements, and the diagonal elements of the upper triangular matrix are: a ii = λ _ = ( ∏ i = 1 K ⁢ ⁢ λ i ) 1 / K , λ 1 ≧μ 2 ≧ . . . ≧λ K ≧0, λ i is a nonzero eigenvalue of a correlation matrix HH −1 , i is an integer, and 1≦i≦K; the step of executing multi-beam forming processing on the original transmission signal x comprises: the transmitting end taking the unitary matrix P as the weight matrix to estimate a transmission weight value W GMD , W GMD =P, and executing multi-beam forming processing on the original transmission signal x according to the estimated transmission weight W GMD to acquire a beam formed transmission signal W GMD ·x, where x = [ x 1 ⋮ x i ⋮ x K ] , and ⁢ [ x 1 ⋮ x i ⋮ x K ] is an original transmission signal sequence.