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

Anna Scaglione, Sergio Barbarossa, Georgios B. Giannakis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

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)
Title of host publicationConference Record of the Asilomar Conference on Signals, Systems and Computers
EditorsM.B. Matthews
PublisherIEEE Comp Soc
Pages1134-1137
Number of pages4
Volume2
StatePublished - 1998
Externally publishedYes
EventProceedings of the 1998 32nd Asilomar Conference on Signals, Systems & Computers. Part 1 (of 2) - Pacific Grove, CA, USA
Duration: Nov 1 1998Nov 4 1998

Other

OtherProceedings of the 1998 32nd Asilomar Conference on Signals, Systems & Computers. Part 1 (of 2)
CityPacific Grove, CA, USA
Period11/1/9811/4/98

Fingerprint

Equalizers
Linear equations
Transfer functions

ASJC Scopus subject areas

  • Hardware and Architecture
  • Signal Processing
  • Electrical and Electronic Engineering

Cite this

Scaglione, A., Barbarossa, S., & Giannakis, G. B. (1998). Inverting overdetermined Toeplitz systems with application to blind block-adaptive equalization. In M. B. Matthews (Ed.), Conference Record of the Asilomar Conference on Signals, Systems and Computers (Vol. 2, pp. 1134-1137). IEEE Comp Soc.

Inverting overdetermined Toeplitz systems with application to blind block-adaptive equalization. / Scaglione, Anna; Barbarossa, Sergio; Giannakis, Georgios B.

Conference Record of the Asilomar Conference on Signals, Systems and Computers. ed. / M.B. Matthews. Vol. 2 IEEE Comp Soc, 1998. p. 1134-1137.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Scaglione, A, Barbarossa, S & Giannakis, GB 1998, Inverting overdetermined Toeplitz systems with application to blind block-adaptive equalization. in MB Matthews (ed.), Conference Record of the Asilomar Conference on Signals, Systems and Computers. vol. 2, IEEE Comp Soc, pp. 1134-1137, Proceedings of the 1998 32nd Asilomar Conference on Signals, Systems & Computers. Part 1 (of 2), Pacific Grove, CA, USA, 11/1/98.
Scaglione A, Barbarossa S, Giannakis GB. Inverting overdetermined Toeplitz systems with application to blind block-adaptive equalization. In Matthews MB, editor, Conference Record of the Asilomar Conference on Signals, Systems and Computers. Vol. 2. IEEE Comp Soc. 1998. p. 1134-1137
Scaglione, Anna ; Barbarossa, Sergio ; Giannakis, Georgios B. / Inverting overdetermined Toeplitz systems with application to blind block-adaptive equalization. Conference Record of the Asilomar Conference on Signals, Systems and Computers. editor / M.B. Matthews. Vol. 2 IEEE Comp Soc, 1998. pp. 1134-1137
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