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A Novel Generalization of Modified LMS Algorithm to Fractional Order | IEEE Journals & Magazine | IEEE Xplore

A Novel Generalization of Modified LMS Algorithm to Fractional Order


Abstract:

In this letter, the modified least mean squares (MLMS) algorithm proposed by Kretschmer is generalized to fractional order α (0 <; α ≤ 1 ). Such generalization is achieve...Show More

Abstract:

In this letter, the modified least mean squares (MLMS) algorithm proposed by Kretschmer is generalized to fractional order α (0 <; α ≤ 1 ). Such generalization is achieved by replacing the first order difference of the weight updating equation with a fractional one. The convergence speed, weight noise and implementation issue of the generalized MLMS (GMLMS) algorithm are examined. It is shown that for smaller step size, the fractional order α functions the same as the step size, which means that a smaller α will give smaller weight noise while a bigger α will give faster convergence speed.
Published in: IEEE Signal Processing Letters ( Volume: 22, Issue: 9, September 2015)
Page(s): 1244 - 1248
Date of Publication: 20 January 2015

ISSN Information:


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