A new normalized subband adaptive filter under minimum error entropy criterion

A new normalized subband adaptive filter based on the minimum error entropy criterion (MEE-NSAF) is proposed for identifying a highly noisy system. The MEE-NSAF utilizes a kernel function and a number of past errors in adaptation, whereas the classical NSAF relies only on the current error signal. Moreover, the stability of the MEE-NSAF is analyzed. To further improve the performance of the MEE-NSAF under the sparse impulse responses, an improved proportionate MEE-NSAF (MEE-IPNSAF) algorithm is proposed. Simulation results show that the proposed algorithms can achieve improved performance as compared with the conventional NSAF when noise gets severe.

[1]  Zhigang Liu,et al.  A new detection approach of transient disturbances combining wavelet packet and Tsallis entropy , 2014, Neurocomputing.

[2]  Kong-Aik Lee,et al.  Improving convergence of the NLMS algorithm using constrained subband updates , 2004, IEEE Signal Processing Letters.

[3]  Nanning Zheng,et al.  Kernel minimum error entropy algorithm , 2013, Neurocomputing.

[4]  Mohammad Shams Esfand Abadi,et al.  Selective partial update and set-membership subband adaptive filters , 2008, Signal Process..

[5]  Mohammad Shams Esfand Abadi,et al.  A family of proportionate normalized subband adaptive filter algorithms , 2011, J. Frankl. Inst..

[6]  Deniz Erdogmus,et al.  Generalized information potential criterion for adaptive system training , 2002, IEEE Trans. Neural Networks.

[7]  Zongsheng Zheng,et al.  Affine projection M-estimate subband adaptive filters for robust adaptive filtering in impulsive noise , 2016, Signal Process..

[8]  Jing Na,et al.  Adaptive nonlinear neuro-controller with an integrated evaluation algorithm for nonlinear active noise systems , 2010 .

[9]  Deniz Erdogmus,et al.  Blind source separation using Renyi's -marginal entropies , 2002, Neurocomputing.

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

[11]  W.S. Gan,et al.  Inherent Decorrelating and Least Perturbation Properties of the Normalized Subband Adaptive Filter , 2006, IEEE Transactions on Signal Processing.

[12]  A. Enis Çetin,et al.  Compressive sensing using the modified entropy functional , 2014, Digit. Signal Process..

[13]  Jae Jin Jeong,et al.  Subband adaptive filter algorithm based on normalized least mean fourth criterion , 2012, 2012 6th International Conference on Signal Processing and Communication Systems.

[14]  Lei Guo,et al.  Minimum entropy filtering for multivariate stochastic systems with non-Gaussian noises , 2005, Proceedings of the 2005, American Control Conference, 2005..

[15]  Mrityunjoy Chakraborty,et al.  On Convergence of Proportionate-Type Normalized Least Mean Square Algorithms , 2015, IEEE Transactions on Circuits and Systems II: Express Briefs.

[16]  Young-Seok Choi,et al.  Noise-robust normalised subband adaptive filtering , 2012 .

[17]  Jose C. Principe,et al.  Information Theoretic Learning - Renyi's Entropy and Kernel Perspectives , 2010, Information Theoretic Learning.

[18]  Badong Chen,et al.  Mean-Square Convergence Analysis of ADALINE Training With Minimum Error Entropy Criterion , 2010, IEEE Transactions on Neural Networks.

[19]  José Carlos Príncipe,et al.  A Normalized Minimum Error Entropy Stochastic Algorithm , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

[20]  J. Ni Improved normalised subband adaptive filter , 2012 .