Absolute Mean Error Based Adaptive Step Size Affine Projection Algorithm for Adaptive Filtering Systems

This paper presents a new method for adaptive step size for Affine Projection Algorithm (APA). The proposed algorithm is based on an absolute mean of estimation current and prior error vector. It is called Absolute Mean Error Adaptive Step Size Affine Projection Algorithm (AMASSAPA). The main goal of this algorithm is performance enhancement of adaptive colored filtering system in terms of fast convergence time. The proposed adaptive step size method begins the learning process with high learning rate value ( μ MAX ) and then , it decays in an exponential profile to its minimum value (μMIN ) .The proposed algorithm is tested with a colored input signal and the result shows that it has fast convergence time than traditional APA.

[1]  Woo-Jin Song,et al.  An Affine Projection Adaptive Filtering Algorithm With Selective Regressors , 2007, IEEE Transactions on Circuits and Systems II: Express Briefs.

[2]  K. Sakhnov,et al.  An improved proportionate affine projection algorithm for network echo cancellation , 2008, 2008 15th International Conference on Systems, Signals and Image Processing.

[3]  Zhang Jingjing,et al.  Variable Step Size LMS Algorithm , 2012 .

[4]  Daljit K. Mehra,et al.  Variable Step Size Affine Projection Algorithm for Adaptive Multiuser DS-CDMA MMSE Receiver , 2007, Wirel. Pers. Commun..

[5]  Tao Dai,et al.  Variable Step-Size Affine Projection Algorithm with a Weighted and Regularized Projection Matrix , 2006, 2006 Canadian Conference on Electrical and Computer Engineering.

[6]  Murat Cabuk.  ADAPTIVE STEP SIZE AND EXPONENTIALLY WEIGHTED AFFINE PROJECTION ALGORITHMS , 2002 .

[7]  Markus Rupp.  A family of adaptive filter algorithms with decorrelating properties , 1998, IEEE Trans. Signal Process..

[8]  S. Thomas Alexander,et al.  Adaptive Signal Processing , 1986, Texts and Monographs in Computer Science.

[9]  K. Traoré,et al.  Low temperature sintering of a pottery clay from Burkina Faso , 2000 .

[10]  S. Shoval.  Using FT-IR spectroscopy for study of calcareous ancient ceramics , 2003 .

[11]  Jacob Benesty,et al.  A Variable Step-Size Affine Projection Algorithm Designed for Acoustic Echo Cancellation , 2008, IEEE Transactions on Audio, Speech, and Language Processing.

[12]  V. S. Gopalaratnam,et al.  A materials-science approach to understanding limestone-tempered pottery from the Midwestern United States , 1995 .

[13]  Vahid Mehrdad,et al.  A Family of Variable Step-Size Affine Projection Adaptive Filtering Algorithms , 2010 .

[14]  Felix Albu,et al.  The Variable Step-Size Gauss-Seidel Pseudo Affine Projection Algorithm , 2009 .

[15]  Ali H. Sayed,et al.  Mean-square performance of a family of affine projection algorithms , 2004, IEEE Transactions on Signal Processing.

[16]  B. Noble.  The solution of Bessel function dual integral equations by a multiplying-factor method , 1963, Mathematical Proceedings of the Cambridge Philosophical Society.

[17]  Ligang Liu,et al.  A Variable Step-Size Proportionate Affine Projection Algorithm for Identification of Sparse Impulse Response , 2009, EURASIP J. Adv. Signal Process..