A Design Method of Parallel Fast RLS Second-Order Adaptive Volterra Filter

Xueqin ZHAO; Jianming LU; Takashi YAHAGI

doi:10.1093/ietfec/e89-a.1.328

A Design Method of Parallel Fast RLS Second-Order Adaptive Volterra Filter

Xueqin ZHAO, Jianming LU, Takashi YAHAGI

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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) second-order 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(N³) 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.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.1 pp.328-333

Publication Date: 2006/01/01

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Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e89-a.1.328

Type of Manuscript: LETTER

Category: Nonlinear Problems

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Xueqin ZHAO, Jianming LU, Takashi YAHAGI, "A Design Method of Parallel Fast RLS Second-Order Adaptive Volterra Filter" in IEICE TRANSACTIONS on Fundamentals, vol. E89-A, no. 1, pp. 328-333, January 2006, doi: 10.1093/ietfec/e89-a.1.328.
Abstract: 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) second-order 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(N³) 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.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.1.328/_p

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@ARTICLE{e89-a_1_328,
author={Xueqin ZHAO, Jianming LU, Takashi YAHAGI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Design Method of Parallel Fast RLS Second-Order Adaptive Volterra Filter},
year={2006},
volume={E89-A},
number={1},
pages={328-333},
abstract={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) second-order 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(N³) 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.},
keywords={},
doi={10.1093/ietfec/e89-a.1.328},
ISSN={1745-1337},
month={January},}

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TY - JOUR
TI - A Design Method of Parallel Fast RLS Second-Order Adaptive Volterra Filter
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 328
EP - 333
AU - Xueqin ZHAO
AU - Jianming LU
AU - Takashi YAHAGI
PY - 2006
DO - 10.1093/ietfec/e89-a.1.328
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2006
AB - 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) second-order 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(N³) 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.
ER -