Inverting overdetermined Toeplitz systems with application to blind block-adaptive equalization

Anna Scaglione, Sergio Barbarossa, Georgios B. Giannakis

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Linear channel equalization in block transmission systems amounts to inverting Toeplitz systems of linear equations. Motivated by limitations of a recent blind block equalizer, we derive properties and investigate the class of tall Toeplitz matrix inverses which themselves exhibit (even approximate) Toeplitz structure. The class is characterized by the size of leading and trailing all-zero block submatrices, and interesting links as well as optimal choices of the size parameter are established with the number of maximum-phase zeros of the underlying channel transfer function. Exploiting the properties of such equalizers we derive a direct blind adaptive equalizer and illustrate superiority over competing approaches. It is also shown that the optimum delay for blind block equalization corresponds to the number of maximum-phase channel zeros.

Original languageEnglish (US)
Pages (from-to)1134-1137
Number of pages4
JournalConference Record of the Asilomar Conference on Signals, Systems and Computers
Volume2
StatePublished - Dec 1 1998

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