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- W2168719458 abstract "Chi and Wu (1963) proposed a class of inverse filter criteria J/sub r,m/ using rth-order and rth-order cumulants (where r is even and m>r/spl ges/2) for blind deconvolution (equalization) of a (nonminimum phase) linear time-invariant (LTI) system with only non-Gaussian measurements. The inverse filter criteria J/sub r,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 J/sub 2,m/ (r=2) when the SNR is finite. The analysis shows that the inverse filter associated with J/sub 2,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 J/sub 2,m/, also performs noise reduction besides equalization. Some simulation results, as well as some calculation results, are provided to support the proposed analytic results." @default.
- W2168719458 created "2016-06-24" @default.
- W2168719458 creator A5061813280 @default.
- W2168719458 creator A5062159479 @default.
- W2168719458 date "1999-07-01" @default.
- W2168719458 modified "2023-09-23" @default.
- W2168719458 title "Performance of cumulant based inverse filters for blind deconvolution" @default.
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- W2168719458 doi "https://doi.org/10.1109/78.771041" @default.
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