A variable step-size diffusion affine projection algorithm

This paper presents a new variable step-size diffusion affine projection algorithm VSS-DAPA to advance the filter performance of the diffusion affine projection algorithm DAPA. The proposed VSS strategy is developed for the DAPA, which can solve the distributed estimation problem over diffusion networks well. To obtain the optimal step size reasonably, we seek the update recursion of mean-square deviation MSD that is suitable for the DAPA. The step size is optimally given through the minimization for the MSD of the DAPA at each iteration. The derived step size through the MSD minimization improves the filter performance with respect to the convergence and the estimation error in steady state. The results based on simulations demonstrate that the proposed VSS-DAPA performs better than the existing algorithms with a system-identification scenario in diffusion network. Copyright © 2015 John Wiley & Sons, Ltd.

[1]  Feifei Gao,et al.  Accurate and Efficient Node Localization for Mobile Sensor Networks , 2013, Mob. Networks Appl..

[2]  Chang Hee Lee,et al.  Scheduled-Step-Size Affine Projection Algorithm , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[3]  Isao Yamada,et al.  Diffusion Least-Mean Squares With Adaptive Combiners: Formulation and Performance Analysis , 2010, IEEE Transactions on Signal Processing.

[4]  Ali H. Sayed,et al.  Distributed Estimation Over an Adaptive Incremental Network Based on the Affine Projection Algorithm , 2010, IEEE Transactions on Signal Processing.

[5]  PooGyeon Park,et al.  A band-dependent variable step-size sign subband adaptive filter , 2014, Signal Process..

[6]  H. Vincent Poor,et al.  Non-Line-of-Sight Node Localization Based on Semi-Definite Programming in Wireless Sensor Networks , 2009, IEEE Transactions on Wireless Communications.

[7]  Bernard Mulgrew,et al.  Filtering approaches to accelerated consensus in diffusion sensor networks , 2014, Int. J. Commun. Syst..

[8]  Chang Hee Lee,et al.  Mean-Square Deviation Analysis of Affine Projection Algorithm , 2011, IEEE Transactions on Signal Processing.

[9]  Yu Gu,et al.  Mobility-Assisted Node Localization Based on TOA Measurements Without Time Synchronization in Wireless Sensor Networks , 2012, Mob. Networks Appl..

[10]  Fumiyuki Adachi,et al.  Sparse least mean fourth algorithm for adaptive channel estimation in low signal‐to‐noise ratio region , 2014, Int. J. Commun. Syst..

[11]  Kazuhiko Ozeki,et al.  An adaptive filtering algorithm using an orthogonal projection to an affine subspace and its properties , 1984 .

[12]  Kaoru Sezaki,et al.  Distributed Target Tracking Algorithm for Wireless Sensor Networks , 2011, 2011 IEEE International Conference on Communications (ICC).

[13]  Mohammad Shams Esfand Abadi,et al.  Low computational complexity family of affine projection algorithms over adaptive distributed incremental networks , 2014 .

[14]  R. Olfati-Saber,et al.  Distributed Kalman Filter with Embedded Consensus Filters , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[15]  Chia-Hsin Cheng,et al.  Fuzzy step size least mean square algorithm tuned linearly constrained constant modulus algorithm for multi-carrier code division multiple access blind multiuser detector , 2014, Int. J. Commun. Syst..

[16]  Ali Ozen.  A novel variable step size adjustment method based on channel output autocorrelation for the LMS training algorithm , 2011 .

[17]  H. Chen,et al.  On Received-Signal-Strength Based Localization with Unknown Transmit Power and Path Loss Exponent , 2012, IEEE Wireless Communications Letters.

[18]  Chang Hee Lee,et al.  Optimal Step-Size Affine Projection Algorithm , 2012, IEEE Signal Processing Letters.

[19]  Fumiyuki Adachi,et al.  Published online in Wiley Online Library (wileyonlinelibrary.com). DOI: 10.1002/dac.2517 Adaptive system identification using robust LMS/F algorithm , 2022 .

[20]  Jie Wang,et al.  Robust tracking algorithm for wireless sensor networks based on improved particle filter , 2012, Wirel. Commun. Mob. Comput..

[21]  PooGyeon Park,et al.  Variable Step-Size Affine Projection Sign Algorithm , 2012, IEEE Transactions on Circuits and Systems II: Express Briefs.

[22]  H. Vincent Poor,et al.  Mobile element assisted cooperative localization for wireless sensor networks with obstacles , 2010, IEEE Transactions on Wireless Communications.

[23]  Fumiyuki Adachi,et al.  Adaptive sparse system identification using normalized least mean fourth algorithm , 2015, Int. J. Commun. Syst..

[24]  Stephen P. Boyd,et al.  Fast linear iterations for distributed averaging , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[25]  Ali H. Sayed,et al.  Fundamentals Of Adaptive Filtering , 2003 .

[26]  PooGyeon Park,et al.  Variable Step-Size Sign Subband Adaptive Filter , 2013, IEEE Signal Processing Letters.

[27]  Ali H. Sayed,et al.  Diffusion Least-Mean Squares Over Adaptive Networks: Formulation and Performance Analysis , 2008, IEEE Transactions on Signal Processing.

[28]  J. Chambers,et al.  Distributed adaptive estimation based on the APA algorithm over diffusion networks with changing topology , 2009, 2009 IEEE/SP 15th Workshop on Statistical Signal Processing.