A novel algorithm to improve the blind receiver for convolutive MIMO systems
ISWCS'09 Proceedings of the 6th international conference on Symposium on Wireless Communication Systems
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Chi and Wu (1963) proposed a class of inverse filter criteria J r,m using rth-order and rth-order cumulants (where r is even and m>r⩾2) for blind deconvolution (equalization) of a (nonminimum phase) linear time-invariant (LTI) system with only non-Gaussian measurements. The inverse filter criteria Jr,m for r=2 are frequently used such as Wiggins' (1978) criterion, Donoho's (1981) criteria, and Tugnait's (1993) inverse filter criteria for which the identifiability of the LTI system is based on infinite signal-to-noise ratio (SNR). We analyze the performance of the inverse filter criteria J2,m (r=2) when the SNR is finite. The analysis shows that the inverse filter associated with J2,m is related to the minimum mean square error (MMSE) equalizer in a nonlinear manner, with some common properties such as perfect phase (but not perfect amplitude) equalization. Furthermore, the former approaches the latter either for higher SNR, cumulant-order m, or for wider system bandwidth. Moreover, as the MMSE equalizer does, the inverse filter associated with J2,m, also performs noise reduction besides equalization. Some simulation results, as well as some calculation results, are provided to support the proposed analytic results