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A Design Method of Parallel Fast RLS SecondOrder Adaptive Volterra Filter
Xueqin ZHAO Jianming LU Takashi YAHAGI
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E89A
No.1
pp.328333 Publication Date: 2006/01/01
Online ISSN: 17451337
DOI: 10.1093/ietfec/e89a.1.328
Print ISSN: 09168508 Type of Manuscript: LETTER Category: Nonlinear Problems Keyword: AVF, PAVF, nonlinear system, fast RLS AVF,
Full Text: PDF>>
Summary:
The adaptive Volterra filter (AVF) is attractive in adaptive filtering applications because its expansion is a linear combination of the input and output signals. However, the formidable computational work of AVF is prohibitive for practical applications. In this letter, we present a parallel fast recursive least squares (RLS) secondorder adaptive Volterra filter (PAVF) to reduce computational load. Our discussion is based on the approach of the fast RLS AVF [3], by which the computational complexity has been reduced to O(N^{3}) multiplications per time instant, where O(·) denotes "order of," and N is the filter length. Proposed PAVF consists of several subfilters partitioned from the conventional AVF, with parallel implementation, the computational work can be reduced effectively. Several simulation results are presented to validate the proposed method.

