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Performance of cumulant based inverse filter criteria for blind deconvolution of multi-input multi-output linear time-invariant systems
Journal article

Performance of cumulant based inverse filter criteria for blind deconvolution of multi-input multi-output linear time-invariant systems

Chong-Yung Chi and Chii-Horng Chen
IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP, pp.354-358
2000

Abstract

Tugnait, and Chi and Chen proposed multi-input multi-output inverse filter criteria (MIMO-IFC) using higher-order statistics for blind deconvolution of multi-input multi-output (MIMO) linear time-invariant (LTI) systems. This paper proposes a performance analysis for the MIMO linear equalizer associated with MIMO-IFC for finite SNR, including (P1) perfect phase equalization property, (P2) a relation to MIMO minimum mean square error (MIMO-MMSE) equalizer, and (P3) a connection with the one obtained by Yeung and Yau's MIMO super-exponential algorithm (MIMO-SEA) that usually converges fast but no guarantee of convergence for finite data. Furthermore, based on (P3), a MIMO-IFC based algorithm with performance similar to that of the MIMO-SEA and with guaranteed convergence is proposed. Finally, some simulation results are presented to support the analytic results and the proposed algorithm.

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