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Automatic beamforming for noncircular signals with distinct noncircularity-rates can be achieved via Takagi factorization based on the second-order statistics. However, the requirement on noncircularity-rate diversity can not be satisfied by rectilinear signals (e.g., AM and BPSK signals), which are used in many practical communications systems. A mixed-order Takagi factorization scheme is herein...
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