In this paper, we propose a new method of constraining the de-mixing matrix of an MIMO system so as to separate multiple independent sources that are operating in the same frequency band, and which have been mixed up in a convolutive or a non-convolutive manner. The proposed method, which is based on the matrix inversion lemma or transformation into a Hankel matrix, constrains the de-mixing matrix such that at any instance, all the rows of the de-mixing matrix are independent from each other. Based on this approach, we propose an algorithm based on the Modified Constant Modulus Algorithm (CMA), which does not involve extensive computation that is common in the methods that are based on Gram-Schmidt orthogonalization. From the computer simulation results, we verify that the proposed algorithm can be used to detect multiple spatially spaced constant modulus signals which are in the same frequency band.
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