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Fast affine projection algorithms for Filtered-x Multichannel Active Noise Control

IEEE TRANSACTIONS ON AUDIO SPEECH AND LANGUAGE PROCESSING 2008年第8期16卷 1396-1408页

作者： Ferrer, Miguel Gonzalez, Alberto de Diego, Maria Pinero, Gema Univ Politecn Valencia Inst Telecommun & Multimedia Applicat iTEAM Audio & Commun Signal Proc Grp GTAC Valencia 46022 Spain

In recent years, affine projection algorithms have been proposed for adaptive system applications as an efficient alternative to the slow convergence speed of least mean square (LMS)-type algorithms. Whereas much attention has been focused on the development of efficient versions of affine projection algorithms for echo cancellation applications, the similar adaptive problem presented by active noise control (ANC) systems has not been studied so deeply. This paper is focused on the necessity to reduce even more the computational complexity of affine projection algorithms for real-time ANC applications. We present some alternative efficient versions of existing affine projection algorithms that do not significantly degrade performance in practice. Furthermore, while in the ANC context the commonly used affine projection algorithm is based on the modified filtered-x structure, an efficient affine projection algorithm based on the (nonmodified) conventional filtered-x structure, as well as efficient methods to reduce its computational burden, are discussed throughout this paper. Although the modified filtered-x scheme exhibits better convergence speed than the conventional filtered-x structure and allows recovery of all the signals needed in the affine projection algorithm for ANC, the conventional filtered-x scheme provides a significant computational saving, avoiding the additional filtering needed by the modified filtered-x structure. In this paper, it is shown that the proposed efficient versions of affine projection algorithms based on the conventional filtered-x structure show good performance, comparable to the performance exhibited by the efficient approaches of modified filtered-x affine projection algorithms, and also achieve meaningful computational savings. Experimental results are presented to validate the use of the algorithms introduced in the paper for practical applications.

关键词： Active noise control adaptive systems affine projection algorithms fast affine projection algorithms filtered-x structure multidimensional signal processing

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Filtered-X affine projection algorithms for active noise control using Volterra filters

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EURASIP JOURNAL ON APPLIED SIGNAL PROCESSING 2004年第12期2004卷 1841-1848页

作者： Carini, A Sicuranza, GL Univ Urbino Inst Sci & Informat Technol I-61029 Urbino Italy Univ Trieste Dept Elect Elect & Comp Engn I-34127 Trieste Italy

We consider the use of adaptive Volterra filters, implemented in the form of multichannel filter banks, as nonlinear active noise controllers. In particular, we discuss the derivation of filtered-X affine projection algorithms for homogeneous quadratic filters. According to the multichannel approach, it is then easy to pass from these algorithms to those of a generic Volterra filter. it is shown in the paper that the AP technique offers better convergence and tracking capabilities than the classical LMS and NLMS algorithms usually applied in nonlinear active noise controllers, with a limited complexity increase. This paper extends in two ways the content of a previous contribution published in Proc. IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing (NSIP '03), Grado, Italy, June 2003. First of all, a general adaptation algorithm valid for any order L of affine projections is presented. Secondly, a more complete set of experiments is reported. In particular, the effects of using multichannel filter banks with a reduced number of channels are investigated and relevant results are shown.

关键词： active noise control adaptive Volterra filters affine projection algorithms

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Filtered-X affine projection algorithms for active noise control using Volterra filters

Filtered-X affine projection algorithms for active noise con...

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6th Workshop on Nonlinear Signal and Image Processing

作者： Carini, A Sicuranza, GL Univ Urbino Inst Sci & Informat Technol I-61029 Urbino Italy Univ Trieste Dept Elect Elect & Comp Engn I-34127 Trieste Italy

关键词： active noise control adaptive Volterra filters affine projection algorithms

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COMPLEX PROPORTIONATE-TYPE affine projection algorithms

COMPLEX PROPORTIONATE-TYPE AFFINE PROJECTION ALGORITHMS

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47th Asilomar Conference on Signals, Systems, and Computers

作者： Wagner, Kevin T. Doroslovacki, Milos I. Naval Res Lab Div Radar Washington DC 20375 USA George Washington Univ Dept Elect & Comp Engn Washington DC 20052 USA

ISBN: (纸本)9781479923908

An extension of complex proportionate-type normalized least mean square algorithms is proposed and derived. This new algorithm called the complex proportionate-type affine projection algorithm helps the estimation of unknown impulse responses when the input signal is colored. The derivation of the complex proportionate-type affine projection algorithm is performed by minimizing the second norm of the weighted difference between the current estimate of the impulse response and the estimate at the next time step under constraints that multiple a posteriori output errors are zero. Several variants of the algorithm are obtained as in the case of the complex proportionate-type normalized least mean square algorithm. It is shown how to use the algorithm in the case of widely linear systems. The learning curves of the algorithms are compared for several standard gain assignment laws for colored and speech input. Through simulation it was demonstrated that the complex proportionate-type affine projection algorithm offers superior convergence performance for colored input signals relative to complex proportionate-type normalized least mean square algorithms and that using separate gains to update the real and imaginary parts of the estimated impulse response, as opposed to the same gain, improves the convergence performance.

关键词： Adaptive filtering convergence affine projection algorithms

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Low-complexity constrained affine-projection algorithms

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IEEE TRANSACTIONS ON SIGNAL PROCESSING 2005年第12期53卷 4545-4555页

作者： Werner, S Apolinario, JA de Campos, MLR Diniz, PSR Aalto Univ FIN-02015 Helsinki Finland Inst Militar Engn Dept Engn Fis BR-22290270 Rio De Janeiro RJ Brazil Univ Fed Rio de Janeiro COPPE BR-21945970 Rio De Janeiro RJ Brazil

This paper proposes low-complexity constrained affine-projection (CAP) algorithms. The algorithms are suitable for linearly constrained filtering problems often encountered in communications systems. The CAP algorithms derived in this paper trade convergence speed and computational complexity in the same way as the conventional affine-projection (AP) algorithm. In addition, data-selective versions of the CAP algorithm are derived based on the concept of set-membership filtering. The set-membership constrained affine-projection (SM-CAP) algorithms include several constraint sets in order to construct a space of feasible solutions for the coefficient updates. The SM-CAP algorithms include a data-dependent step size that provides fast convergence and low mean-squared error. The paper also discusses important aspects of convergence and stability of constrained normalized adaptation algorithms and shows that normalization may introduce bias in the final solution.

关键词： adaptive filtering affine projection algorithms antenna array beamforming set-membership filtering smart antennas

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Fast affine projection algorithms for Simplified Structure of Multichannel Active Noise Control

Fast Affine Projection Algorithms for Simplified Structure o...

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2018 International Conference on Network, Communication, Computer Engineering (NCCE 2018)

作者： Jiaming Liu Binwen Fan Fuchen Ding School of Electronic and Information Engineering Harbin Institute of Technology

ISBN: (纸本)9781510871076

This article focuses on the application of AP algorithms in active noise control *** active noise control system is a real-time tracking noise signal,which is then cancelled with an opposite signal to achieve noise ***,the active noise control system requires high real-time *** a multi-channel active noise system,a large amount of calculation is a key factor that causes the real-time performance of the system to *** paper simplifies the system structure based on the existing fast AP algorithm,further reduces the system overhead and achieves the purpose of improving real-time *** through the DSP chip,an experimental platform for the active noise control system was built,and the proposed algorithm was validated for practical results.

关键词： Active noise control affine projection algorithms fast affine projection algorithms ANC structure

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Family of affine projection adaptive filters with selective partial updates and selective regressors

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IET SIGNAL PROCESSING 2010年第5期4卷 567-575页

作者： Abadi, M. S. E. Mehrdad, V. Shahid Rajaee Teacher Training Univ Fac Elect & Comp Engn Tehran Iran

In this study the concepts of selective partial updates (SPU) and selective regressors (SR) in the affine projection adaptive filtering algorithm are combined and the family of affine projection algorithms (APAs) with SPU and SR features are established. These algorithms are computationally efficient. The mean-square performance of the presented algorithms are analysed based on the energy conservation arguments of Sayed's group. This analysis does not need to assume a Gaussian or white distribution for the regressors. The authors demonstrate the performance of the presented algorithms through simulations. The good agreement between theoretically predicted and actually observed performances is also demonstrated.

关键词： Integral transforms selective regressors Filtering methods in signal processing SR adaptive filtering algorithm adaptive filters regression analysis energy conservation SPU mean-square performance selective partial updates mean square error methods affine projection algorithms affine transforms Other topics in statistics

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New optimal variable step size-adaptive regularized-affine projection algorithm

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INTERNATIONAL JOURNAL OF SPEECH TECHNOLOGY 2019年第1期22卷 179-189页

作者： Gupta, Deepak Kumar Gupta, Vijay Kumar Chandra, Mahesh Mishra, Achyuta Nand Krishna Engn Coll Dept Elect & Commun Engn Ghaziabad 201007 UP India Inderprastha Engn Coll Dept Elect & Commun Engn Ghaziabad 201010 UP India Birla Inst Technol Dept Elect & Commun Engn Ranchi 835215 Jharkhand India

In this paper, a new optimal variable step size-adaptive regularized-affine projection algorithm (OVSS-AR-APA) is proposed and compared with existing variable step size APA family of algorithms. Instead of having a constant regularization parameter, the modified sigmoid function variation is used to choose the optimum regularization parameter in the proposed algorithm. Here, the algorithm dynamically adjusts the regularization parameter according to input noise variations. Also, the exponentially weighted value of the error with variable regularization parameter is used for making the step size parameter variable. The existing and proposed algorithms are implemented for noise cancellation from audio signals at various input SNR levels for different filter orders. It is observed from simulations that the proposed algorithm outperforms the existing algorithms in terms of SNR improvements, MSE and convergence rate at all input SNR levels for different filter orders with moderate computational complexity. The OVSS-AR-APA algorithm shows a maximum of 21.54dB of improvement in SNR at -20dB input SNR level at filter order 5.

关键词： Adaptive regularization Adaptive noise cancellation affine projection algorithms Variable step size APA SNR improvement

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Variable step-size affine projection algorithm with a weighted and regularized projection matrix

Variable step-size affine projection algorithm with a weight...

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19th IEEE Canadian Conference on Electrical and Computer Engineering

作者： Dai, Tao Adler, Andy Shahrrava, Behnam Univ Ottawa Sch Informat Technol & Engn Ottawa ON Canada Univ Windsor Dept Elect & Comp Engn Windsor ON Canada

ISBN: (纸本)9781424400379

This paper presents a regularized modification to the weighted variable step-size affine projection algorithm (APA). The regularization overcomes the ill-conditioning introduced by both the forgetting process and the increasing size of the input matrix. The algorithm was tested by trials with colorized input signals and different parameter combinations. Simulations illustrate that the proposed algorithm is superior in terms of convergence speed and misadjustment compared with existing algorithms.

关键词： adaptive signal processing affine projection algorithms variable step-size adaptive algorithms matrix singularity regularization

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Combined Step-size affine projection Mix-norm Algorithm with Generalized Maximum Correntropy for Robust Filtering 11

Combined Step-size Affine Projection Mix-norm Algorithm with...

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11th Joint International Information Technology and Artificial Intelligence Conference, ITAIC 2023

作者： Zhang, Huaiyuan Hou, Yunxian Li, Guoliang Zhou, Xingli Zhang, Hongbin College of Information and Communication Engineering University of Electronic Science and Technology of China Chengdu China

ISBN: (纸本)9798350333664

A cluster of affine projection (AP) algorithms has the characteristics of a fast convergence rate under coloured noise. Furthermore, robust mixed-norm algorithms (RMNA) have been confirmed to possess outstanding steady-state properties. Simultaneously, combined step-size methods have the competence to ameliorate the tracking competence of AP-type algorithms. This paper proposes a novel combined step-size affine projection mixed-norm algorithm with a generalized maximum correntropy criterion for robust filtering named CSS-APRMNGMC. The proposed CSS-APRMNGMC integrates the advantages of mix-norm and generalized maximum correntropy criterion and applies new combined step-size methods to ameliorate tracking ability. The superior performance is verified in identification of system, which contains non-gaussian impulsive interferences. © 2023 IEEE.

关键词： Adaptive filter affine projection algorithms identification of system maximum correntropy criterion robust mixed-norm algorithm

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