On the Steady State Performance of Frequency Domain LMS Algorithms

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Authors
Feuer, Arie
Cristi, Roberto
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1993
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Abstract
The use of the fast Fourier transform (FFT) in the implementation of the least mean square (LMS) algorithm in the frequency domain results in several types of algorithms, two of which can be classified as constrained and unconstrained. In this correspondence, we point out that, in general, especially with correlated data, the unconstrained algorithm may have a significant performance advantage in steady state if block mean square error is the criterion. Furthermore, we point out here that, in the constrained algorithms, the choice of different step sizes in different frequency bins (as is commonly done) will very likely result in a deterioration of steady state performance. This does not happen in the unconstrained algorithm.
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Electrical and Computer Engineering
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IEEE Transactions on Signal Processing, Vol. 41, No. 1, January 1993.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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