Intelligent reflector beam forming and phase shift design method based on alternating directions
A beamforming, alternate direction technology, applied in the field of intelligent reflector beamforming and phase shift design, can solve problems such as high complexity and performance loss, achieve low complexity, good bit error rate performance, and maximize the overall The effect of the received signal-to-noise ratio
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[0028] The specific implementation manners of the present invention will be further described in detail below in conjunction with the accompanying drawings.
[0029] The optimization of the beamforming vector is first performed with a fixed phase shift. For a fixed Θ, the optimization problem can be converted to:
[0030]
[0031] s.t.||w|| 2 ≠0,
[0032] because and H H H=(H H h) H , the objective function can be transformed into:
[0033]
[0034] in,(·) H Represents the conjugate transpose operation of a matrix, λ max (H H H) means H H The largest eigenvalue of H. when||w|| 2 = 1 to obtain the maximum eigenvalue.
[0035] According to the above derivation, the optimal beamforming vector is corresponding to H H The eigenvector of the largest eigenvalue of H, that is
[0036]
[0037] in
[0038] [V,Λ]=eig(H H h)
[0039] eig is the matrix eigenvalue decomposition function, is the index of the largest eigenvalue in Λ, w opt is the optimal beam...
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