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Variable step-size NLMS and affine projection algorithms

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 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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International Conference on Control, Automation and Systems

作者： Lee, ChangWoo Cho, Hyeonwoo Ban, Sung Jun Kim, Sang Woo POSTECH Div Elect & Comp Engn Pohang South Korea

ISBN: (纸本)9788995003879

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-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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Acoustic Feedback Cancellation in Hearing Aids Using Two Microphones Employing Variable Step Size affine projection algorithms

Acoustic Feedback Cancellation in Hearing Aids Using Two Mic...

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IEEE International Conference on Digital Signal Processing (DSP)

作者： Tran, L. T. T. Nordholm, S. Dam, H. H. Yan, W. Y. Nakagawa, C. R. Curtin Univ Fac Sci & Engn Perth WA Australia Starkey Hearing Technol Signal Proc Res Dept Eden Prairie MN USA

ISBN: (纸本)9781479980581

affine projection algorithms (APA) have been widely employed for acoustic echo cancellation (AEC) since they provide a natural trade-off between convergence speed and computational complexity. However, their application in Acoustic Feedback Cancellation (AFC) in hearing aids so far has been limited due to lack of performance improvement in one microphone settings. A two microphone technique was recently proposed to provide an improved cancellation for a larger class of input signals. This paper proposes to use APA in the two microphone closed-loop feedback cancellation. It is shown that APA has significantly improved the misalignment and maximum stable gain of the system. Moreover, a new variable Gaussian step-size control (VGSS) for APA is also proposed. The simulation results indicate an improvement in convergence speed of the proposed algorithms as compared to previously suggested methods.

关键词： affine projection algorithm acoustic feedback cancellation variable step size

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FEATURE affine projection algorithmS

FEATURE AFFINE PROJECTION ALGORITHMS

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IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP)

作者： Yazdanpanah, Hamed Univ Sao Paulo Dept Comp Sci BR-05508090 Sao Paulo SP Brazil

ISBN: (纸本)9781509066315

There is a growing research interest in proposing new techniques to detect and exploit signals/systems sparsity. Recently, the idea of hidden sparsity has been proposed, and it has been shown that, in many cases, sparsity is not explicit, and some tools are required to expose hidden sparsity. In this paper, we propose the Feature affine projection (F-AP) algorithm to reveal hidden sparsity in unknown systems. Indeed, first, the hidden sparsity is revealed using the feature matrix, then it is exploited using some sparsity-promoting penalty function. Also, the step-size parameter and the weight given to the penalty function are analyzed. Furthermore, two examples of the F-AP algorithm for lowpass and highpass systems are introduced. Finally, numerical results indicate that the F-AP algorithm provides several performance improvements when the hidden sparsity of coefficients is revealed.

关键词： affine projection algorithm feature matrix hidden sparsity lowpass system highpass system

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New Variable Step Size affine projection algorithms

New Variable Step Size Affine Projection Algorithms

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9th International Conference on Communications (COMM)

作者： Albu, Felix Paleologu, Constantin Ciochina, Silviu Valahia Univ Targoviste Fac Elect Engn Targoviste Romania Univ Politehn Bucuresti Dept TeleCommun Bucharest Romania

ISBN: (纸本)9781467325738

In this paper, we propose new variable step size affine projection algorithms whose step sizes are adjusted according to the square of a time-averaging estimate of the autocorrelation of a priori and a posteriori errors. The proposed algorithms have fast convergence, robustness against near-end signal variations (including double-talk) and do not require any a priori information about the acoustic environment. The simulation results indicate the good performance of the proposed algorithms when compared to similar algorithms.

关键词： adaptive filters affine projection algorithm variable step size echo cancellation

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Robust Diffusion affine projection M-Estimate algorithm for Distributed Estimation over Network

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IFAC-PapersOnLine 2019年第24期52卷 290-293页

作者： Pucha Song Haiquan Zhao The Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle Ministry of Education and the School of Electrical Engineering Southwest Jiaotong University Chengdu 610031 China

In this paper, a robust diffusion affine projection M-estimate (DAPM) algorithm is proposed for distributed estimation in the adaptive diffusion network. To eliminate the adverse effects of impulsive noise in case of the impulsive interference environment on the filter weight updates, this algorithm uses a robust cost function based on M-estimate function and is derived by the steepest-descent method. Simulation results verify that the proposed DAPM algorithm is effective for system identification scenarios in the presence of impulsive noise.

关键词： affine projection algorithm M-estimate distributed estimation adaptive diffusion network impulsive noise

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On the correlation between the noise and a priori error vectors for standard and augmented affine projection algorithms

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SIGNAL PROCESSING 2024年 218卷

作者： Altieri, Andres Univ Paris Saclay Lab Signaux & Syst UMR 8506 CNRS CentraleSupelec F-91190 Gif Sur Yvette France Consejo Nacl Invest Cient & Tecn Ctr Simulac Computat CSC RA-1425 Buenos Aires Argentina

This paper analyzes the correlation matrix between the a priori error and measurement noise vectors for standard and augmented affine projection algorithms using a unified approach. This correlation stems from the dependence between the filter tap estimates and the noise samples, and has a strong influence on the mean square behavior of the algorithm. We show that the correlation matrix is upper triangular, and compute the diagonal elements in closed form, showing that they are independent of the input process statistics. Also, for white inputs we show that the matrix is fully diagonal. These results are valid in the transient and steady states, considering a possibly variable step -size. Our only assumption is that the filter order is large compared to its projection order and that the input signal is stationary. Using these results, we perform a steady-state analysis for small step size and provide a new simple closed -form expression for the mean -square error, which has comparable or better accuracy to many preexisting expressions, and is much simpler to compute. Finally, we also obtain expressions for the steady-state energy of the other components of the error vector.

关键词： Adaptive filter a priori error affine projection algorithm Variable step-size Widely linear model Non-circular signals

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Adaptive combination of affine projection and NLMS algorithms based on variable step-sizes

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DIGITAL SIGNAL PROCESSING 2016年第0期59卷 86-99页

作者： Ren, Chunhui Wang, Zuozhen Zhao, Zhiqin Univ Elect Sci & Technol China Chengdu 611731 Sichuan Peoples R China

Considering the filters with variable step-sizes outperform their fixed step-sizes versions and the combination algorithms with proper mixing parameters outperform their components, a combination algorithm consisting of improved variable step-size affine projection (I-VSSAP) and normalized least mean square (I-VSSNLMS) algorithms, of which the former is fast and the latter is slow, is proposed for stationary environment Different from the combination algorithms whose components are updated independently, the variable step-sizes components are adapted using the same input and error signals, and their step-sizes are derived via the mean-square deviation (MSD) of the overall filter. Therefore, the components reflect the working state of the combination filter more accurately than their fixed step sizes versions. The mixing parameter is obtained by minimizing the MSD and gradually decreases from 1 to 0. Therefore the proposed algorithm has a performance similar to I-VSSAP and I-VSSNLMS in the initial stage and steady-state respectively. Simulations confirm that the proposed algorithm outperforms its components and its fixed step-sizes version. The mixing parameter is artificially set to 0 when the difference between the MSDs of two adjacent iterations is below a user-defined threshold, then the proposed algorithm degrades to I-VSSNLMS and exhibits a less computational complexity than AP algorithm. (C) 2016 Elsevier Inc. All rights reserved.

关键词： affine projection algorithm Normalized least mean square algorithm Variable step-size Mixing parameter Mean-square deviation

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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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affine projection-Type Blind Multiuser Detection with Block Length Control under the Multipath Environment

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ELECTRONICS AND COMMUNICATIONS IN JAPAN 2014年第4期97卷 67-79页

作者： Tanabe, Nari Takezawa, Masatoshi Furukawa, Toshihiro Tokyo Univ Sci Suwa Japan Tokyo Univ Sci Tokyo 162 Japan

This paper proposes affine-projection blind multiuser detection with block length control for improvement of convergence speed in DS-CDMA (direct sequence code division multiple access) systems in a multipath environment. The traditional method of controlling the block length is discussed for the situation in which the desired signal of the system is given. But due to the difficulty of the application of the above method to blind multiuser detection, some suitable improvements are performed in the proposed method. These give the proposed method advantages over the traditional detectors.

关键词： blind signal processing DS-CDMA interference suppression block length control affine projection algorithm

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