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

Author

Chi, Chong-Yung ; Chen, Chii-Horng

Author_Institution

Dept. of Electr. Eng., Nat. Tsing Hua Univ., Hsinchu, Taiwan

fYear

2000

fDate

2000

Firstpage

354

Lastpage

358

Abstract

Tugnait (1997), 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 has 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

Keywords

MIMO systems; convergence of numerical methods; deconvolution; equalisers; filtering theory; higher order statistics; least mean squares methods; LTI systems; MIMO-IFC; MIMO-MMSE; MIMO-SEA; blind deconvolution; convergence; cumulant; equalizer; finite SNR; higher-order statistics; inverse filter criteria; linear equalizer; linear time-invariant systems; minimum mean square error; multi-input multi-output systems; perfect phase equalization; performance analysis; simulation; super-exponential algorithm; Algorithm design and analysis; Analytical models; Convergence; Deconvolution; Equalizers; Higher order statistics; MIMO; Mean square error methods; Nonlinear filters; Performance analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Statistical Signal and Array Processing, 2000. Proceedings of the Tenth IEEE Workshop on

Conference_Location

Pocono Manor, PA

Print_ISBN

0-7803-5988-7

Type

conf

DOI

10.1109/SSAP.2000.870143

Filename

870143