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Filtered-X affine projection algorithm for multichannel active noise control using second-order volterra filters

IEEE SIGNAL PROCESSING LETTERS 2004年第11期11卷 853-857页

作者： Sicuranza, GL Carini, A Univ Trieste DEEI I-34127 Trieste Italy Univ Urbino Ist Sci & Tecnol I-61029 Urbino Italy

In this letter, a multichannel controller based on Volterra filters is described. A filtered-X affine projection algorithm is derived in detail for homogeneous quadratic filters. The proposed algorithm can be also ext... 详细信息

关键词： active noise control adaptive Volterra filters affine projection algorithm multichannel nonlinear controller

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A derivation of the excess mean square error for affine projection algorithms using the condition number

A derivation of the excess mean square error for affine proj...

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2007 International Conference on Control, Automation and Systems (ICCAS 2007), vol.2

作者： ChangWoo Lee Hyeonwoo Cho Sung Jun Ban Sang Woo Kim Division of Electrical and Computer Engineering Postech Pohang South Korea

This paper presents a numerical expression for the excess mean-square error(EMSE) of affine projection(AP) algorithms, and the expression is proportional to the data reuse factor and the condition number of the input data. For the condition number, a recently reported technique developed by using E-norm is adopted instead of L{sub}2-norm The proposed expression offers an insight into the mechanics of the AP algorithm by including the condition number in the EMSE. Our simulation results show a relatively good match between the proposed expression and the practice.

关键词： affine projection algorithm Excess mean square error Condition number

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Transient and steady-state analysis of filtered-x affine projection algorithms

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IEEE TRANSACTIONS ON SIGNAL PROCESSING 2006年第2期54卷 665-678页

作者： Carini, A Sicuranza, GL Univ Urbino Informat Sci & Technol Inst I-61029 Urbino Italy Univ Trieste Dept Elect Elect & Comp Engn Trieste Italy

This paper provides an analysis of transient and steady-state behavior of different filtered-x affine projection algorithms. algorithms suitable for single-channel and for multichannel active noise controllers are treated within a unified framework. Very mild assumptions are posed on the active noise control system model, which is only required to have a linear dependence of the output from the filter coefficients. Therefore, the analysis applies not only to the linear finite impulse response models but also to nonlinear Volterra filters, i.e., polynomial filters, and other nonlinear filter structures. The convergence analysis presented in this paper relies on energy conservation arguments and does not apply the independence theory, nor does it impose any restriction to the signal distributions. It is shown in the paper that filtered-x affine projection algorithms always provide a biased estimate of the minimum mean square solution. Nevertheless, in many cases, the bias is small and therefore these algorithms can be profitably applied to active noise control.

关键词： active noise control affine projection algorithm multichannel adaptive filtering steady-state analysis transient analysis

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Mean-square performance of a family of affine projection algorithms

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IEEE TRANSACTIONS ON SIGNAL PROCESSING 2004年第1期52卷 90-102页

作者： Shin, HC Sayed, AH Pohang Univ Sci & Technol Div Elect & Comp Engn Pohang South Korea Univ Calif Los Angeles Dept Elect Engn Los Angeles CA 90095 USA

affine projection algorithms are useful adaptive filters whose main purpose is to speed the convergence of LMS-type filters. Most analytical results on affine projection algorithms assume special regression models or Gaussian regression data. The available analysis also treat different affine projection filters separately. This paper provides a unified treatment of the mean-square error, tracking, and transient performances of a family of affine projection algorithms. The treatment relies on energy conservation arguments and does not restrict the regressors to specific models or to a Gaussian distribution. Simulation results illustrate the analysis and the derived performance expressions.

关键词： affine projection algorithm energy-conservation learning-curve steady-state analysis tracking analysis transient analysis

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Variable step-size NLMS and affine projection algorithms

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IEEE SIGNAL PROCESSING LETTERS 2004年第2期11卷 132-135页

作者： Shin, HC Sayed, AH Song, WJ Pohang Univ Sci & Technol Div Elect & Comp Engn Pohang South Korea Univ Calif Los Angeles Dept Elect Engn Los Angeles CA 90095 USA

This letter proposes two new variable step-size algorithms for normalized least mean square and affine projection. The proposed schemes lead to faster convergence rate and lower mis-adjustment error.

关键词： adaptive filters affine projection algorithm normalized least mean square (NLMS) variable step-size

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A novel multitarget adaptive array algorithm for wireless CDMA systems using block affine projection

A novel multitarget adaptive array algorithm for wireless CD...

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60th IEEE Vehicular Technology Conference

作者： Labib, M El-Tanany, M Goubran, R Carleton Univ Dept Syst & Comp Engn Ottawa ON K1S 5B6 Canada

ISBN: (纸本)0780385217

This paper presents a novel blind adaptive array algorithm for CDMA systems employing the despread-respread technique in conjunction with the Block affine projection algorithm. The Block affine projection Despread Respread Multitaraget Array (AP-DRMTA) algorithm is developed and compared with the Least Squares Despread Respread Multitarget Array (LS-DRMTA) algorithm, the Least Squares Despread Respread Multitarget Constant Modulus algorithm (LS-DRMTCMA) and the Block RLS-Despread Respread Multitarget Array (Block RLS-DRMTA). Computer simulation in both the AWGN static channel and the dynamic channel is performed. The simulation results indicate that the AP-DRMTA has superior bit error rate performance.

关键词： smart antenna multitarget array CDMA systems affine projection algorithm

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Fast generalized affine projection algorithm

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INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING 2000年第6期14卷 623-641页

作者： Sankaran, SG Beex, AA Virginia Tech Bradley Dept Elect & Comp Engn DSP Res Lab Syst Grp Blacksburg VA 24061 USA

The affine projection algorithm (APA), and the entire class of algorithms equivalent to APA, attempts to accelerate the convergence of the normalized least-mean-squares (NLMS) algorithm by adapting weights based on past input vectors in addition to the usual NLMS adaptation based on the current input vector. Before deriving a fast version of it, we review our generalized APA algorithm called NLMS with orthogonal correction factors (NLMS-OCF). NLMS-OCF provides complete flexibility in choosing the past input vectors. This flexibility provides improved convergence over the APA and its equivalents. A fast version of NLMS-OCF is then derived which uses a lattice-based forward-backward predictor. The significant convergence properties of NLMS-OCF are summarized. Simulation results that compare NLMS-OCF and APA are presented. Copyright (C) 2000 John Wiley & Sons, Ltd.

关键词： affine projection algorithm NLMS with orthogonal correction factors NLMS-OCF fast affine projection algorithm fast orthogonalization acoustic echo cancellation

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Convergence analysis of block orthogonal projection and affine projection algorithms

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SIGNAL PROCESSING 2002年第3期82卷 491-496页

作者： Ikeda, K Kyoto Univ Dept Syst Sci Grad Sch Informat Kyoto 6068501 Japan

The affine projection (AP) and the block orthogonal projection (BOP) algorithms are known to have good convergence properties even when the input signal is correlated. However, their convergence rates are not elucidated yet, since they are based on orthogonal projection. and are too complicated to be analyzed. In this paper, we first consider their geometrical view and derive their convergence rates for white signals. Moreover, we provide an approximation method to evaluate the convergence rate for cot-related signals and show the results which are confirmed by computer simulations. The results imply that the convergence rate of the BOP algorithm gets saturated as the block size increases. (C) 2002 Elsevier Science B.V. All rights reserved.

关键词： adaptive filter convergence rate normalized LMS algorithm affine projection algorithm block orthogonal projection algorithm

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An efficient robust adaptive filtering algorithm based on parallel subgradient projection techniques

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IEEE TRANSACTIONS ON SIGNAL PROCESSING 2002年第5期50卷 1091-1101页

作者： Yamada, I Slavakis, K Yamada, K Tokyo Inst Technol Dept Commun & Integrated Syst Tokyo 152 Japan

This paper presents a novel robust adaptive filtering scheme based on the interactive use of statistical noise information and the ideas developed originally for efficient algorithmic solutions to the convex feasibility problems. The statistical noise information is quantitatively formulated as stochastic property closed convex sets by the simple design formulae developed in this paper. A simple set-theoretic inspection also leads to an important statistical reason for the sensitivity to noise of the affine projection algorithm (APA). The proposed adaptive algorithm is computationally efficient and robust to noise because it requires only an iterative parallel projection onto a series of closed half spaces that are highly expected to contain the unknown system to be identified and is free from the computational load of solving a system of linear equations. The numerical examples show that the proposed adaptive filtering scheme realizes dramatically fast and stable convergence for highly colored excited speech like input signals in severe noise situations.

关键词： affine projection algorithm NLMS algorithm POCS robust adaptive algorithm stochastic property set subgradient projection

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On integrating speech coding functions into echo cancelling filters with decorrelating properties

On integrating speech coding functions into echo cancelling ...

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IEEE International Conference on Acoustics, Speech, and Signal Processing

作者： Scalart, P Bouteille, F France Telecom R&D F-22307 Lannion France

ISBN: (纸本)0780374029

The normalized LMS (NLMS) algorithm has been successfully used in many system identification problems. However, the NLMS algorithm is known to exhibit low convergence speed especially when the input data covariance matrix is ill-conditioned. In this paper, we consider a sub-optimal implementation of the affine projection (AP) algorithm based on a prewithening mechanism, which renders the convergence characteristics less sensitive to the coloring of the input signal spectrum than is the case for the NLMS algorithm. Comparisons with the AP algorithm are given to validate our approach. Implementation details are discussed in the context of hands-free telephony where echo cancelling and speech coding algorithms are integrated on the same DSP board.

关键词： speech coding decorrelation echo suppression FIR filters mobile radio convergence of numerical methods adaptive filters speech coding functions echo cancelling filters decorrelating properties convergence speed sub-optimal implementation affine projection algorithm AP algorithm prewhitening mechanism convergence characteristics coloring input signal spectrum hands-free telephony echo cancelling speech coding

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