Transactions of the Institute of Systems, Control and Information Engineers
Online ISSN : 2185-811X
Print ISSN : 1342-5668
ISSN-L : 1342-5668
LMS Adaptive Filter Design Using Semidefinite Programming and Its Application to Active Noise Control
Yuji WAKASAMikito HIKITAYutaka YAMAMOTO
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2003 Volume 16 Issue 9 Pages 461-467

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Abstract

The least mean square (LMS) algorithm has been widely used in adaptive signal processing applications, because of its simplicity and low complexity. This paper proposes a design method for an LMS-type algorithm which is robust in some sense and converges faster than the conventional LMS algorithm. The design problem is reduced to a semidefinite program which is an efficiently solvable optimization problem. Moreover the proposed design method is extended to the filtered-X LMS algorithm for active noise control, and an experimental result is provided to illustrate the effectiveness of the proposed method.

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