Inverse filter criteria for blind deconvolution and equalization using two cumulants

[[abstract]]© 1995 Elsevier-Cumulant (higher-order statistics) based inverse filter criteria maximizing Jr,m = |Cm|r/|Cr|m, where m does not equal r and Cm (Cr) denotes the mth-order (rth-order) cumulant of the inverse filter output, have been proposed for blind deconvolution and equalization with only non-Gaussian output measurements of an unknown linear time-invariant (LTI) system. This paper shows that the maximum of Jr,m, associated with the true inverse filter of the unknown LTI system, exists only for r to be even and m gt; r, otherwise Jr,m is unbounded. The admissible values for (r,m) = (2s, l + s) where l gt; s >= 1 include (2,3), (2,4) and (4,6) proposed by Tugnait, Wiggins, Shalvi and Weinstein in addition to the new ones such as (2,5), (2,6) and (4,5). Some simulation results associated with the inverse filter criteria Jr,m with the admissible values for (r,m) are then provided. Finally, we draw some conclusions.[[department]]電機工程學