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Linear multiuser detectors for vector channels with crosstalk are approximated by weighted matrix polynomials. The weight optimization problem is overcome using convergence results from random matrix theory. The results are also extended to receivers with subsequent successive decoding. In the case of subsequent successive decoding, a novel low-complexity implementation is found for the first-order approximation that is based on matched filter banks only and does not require matrix algebra. Spectral efficiency is obtained analytically and found to be fairly close to the optimum. The paper is focussed on multiuser detection for CDMA, but the results can be easily extended to communication via antenna arrays.
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Müller et al. (2001) studied this question.
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