Characterization of the regions of convergence of CMA adapted blind fractionally spaced equalizer

Wonzoo Chung, C. Richard Johnson

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

4 Citations (Scopus)

Abstract

The constant modulus algorithm (CMA) is an effective and popular scheme for blind adaptive equalization. Delineation of the regions of convergence of this multimodal algorithm has remained as an unresolved problem in spite of its significance with regard to CMA initialization strategies. In this paper we present a qualitative analysis of convergence regions of the fractionally spaced CMA (FS-CMA) equalizer based on a new geometrical understanding of the constant modulus cost function. We characterize the location and volume of the convergence regions of local minima, and associate the volume of the convergence regions with their MSE performance. The convergence regions of the local minima with low noise gain expand near the origin, while those of the local minima with high noise gain shrink. This explains partly the robustness of FS-CMA and the MSE optimization achieved by the widely used center spike initialization with constrained magnitude.

Original languageEnglish
Title of host publicationConference Record of the Asilomar Conference on Signals, Systems and Computers
EditorsM.B. Matthews
PublisherIEEE Comp Soc
Pages493-497
Number of pages5
Volume1
Publication statusPublished - 1998
Externally publishedYes
EventProceedings of the 1998 32nd Asilomar Conference on Signals, Systems & Computers. Part 1 (of 2) - Pacific Grove, CA, USA
Duration: 1998 Nov 11998 Nov 4

Other

OtherProceedings of the 1998 32nd Asilomar Conference on Signals, Systems & Computers. Part 1 (of 2)
CityPacific Grove, CA, USA
Period98/11/198/11/4

Fingerprint

Equalizers
Cost functions

ASJC Scopus subject areas

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

Cite this

Chung, W., & Johnson, C. R. (1998). Characterization of the regions of convergence of CMA adapted blind fractionally spaced equalizer. In M. B. Matthews (Ed.), Conference Record of the Asilomar Conference on Signals, Systems and Computers (Vol. 1, pp. 493-497). IEEE Comp Soc.

Characterization of the regions of convergence of CMA adapted blind fractionally spaced equalizer. / Chung, Wonzoo; Johnson, C. Richard.

Conference Record of the Asilomar Conference on Signals, Systems and Computers. ed. / M.B. Matthews. Vol. 1 IEEE Comp Soc, 1998. p. 493-497.

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

Chung, W & Johnson, CR 1998, Characterization of the regions of convergence of CMA adapted blind fractionally spaced equalizer. in MB Matthews (ed.), Conference Record of the Asilomar Conference on Signals, Systems and Computers. vol. 1, IEEE Comp Soc, pp. 493-497, Proceedings of the 1998 32nd Asilomar Conference on Signals, Systems & Computers. Part 1 (of 2), Pacific Grove, CA, USA, 98/11/1.
Chung W, Johnson CR. Characterization of the regions of convergence of CMA adapted blind fractionally spaced equalizer. In Matthews MB, editor, Conference Record of the Asilomar Conference on Signals, Systems and Computers. Vol. 1. IEEE Comp Soc. 1998. p. 493-497
Chung, Wonzoo ; Johnson, C. Richard. / Characterization of the regions of convergence of CMA adapted blind fractionally spaced equalizer. Conference Record of the Asilomar Conference on Signals, Systems and Computers. editor / M.B. Matthews. Vol. 1 IEEE Comp Soc, 1998. pp. 493-497
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