Convergence and Performance Analysis of Godard Family and Multimodulus Algorithms for Blind Equalization

Sharma, Vinod and Raj, Naveen V (2005) Convergence and Performance Analysis of Godard Family and Multimodulus Algorithms for Blind Equalization. In: IEEE Transactions On Signal Processing, 53 (4). pp. 1520-1533.

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Abstract

We obtain the convergence of the Godard family [including the Sato andconstant modulus (CM) algorithms] and the multimodulus algorithms (MMA)in a unified way. Our analysis also works for CMA fractionally spaced equalizer (FSE). Our assumptions are quite realistic: The channel input can be asymptotically stationary and ergodic, the channel impulse response is finite and can be stationary and ergodic (this modelsfading channels), and the equalizer length is finite. The noise is independent and identically distributed (i.i.d.). The channel input canbe discrete or continuous. Our approach allows us to approximate the whole trajectory of the equalizer coefficients. This provides estimates of the rate of convergence, and the system performance (symbol errorrate) can be evaluated under transience and steady state.

Item Type:	Journal Article
Publication:	IEEE Transactions On Signal Processing
Publisher:	Institute of Electrical and Electronics Engineers Inc.
Additional Information:	Copyright for this article belongs to Institute of Electrical and Electronics Engineers Inc.
Keywords:	Blind equalization;CMA;convergence analysis;MMA;performance analysis;Sato algorithm
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	17 May 2005
Last Modified:	19 Sep 2010 04:18
URI:	http://eprints.iisc.ac.in/id/eprint/3198

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