Circuits, Systems and Signal Processing, Year (2018-10) , Pages (1-24)

Title : ( Incorporating Non-parametric Knowledge to the Least Mean Square Adaptive Filter )

Authors: Soheila Ashkezari Toussi , Hadi Sadoghi Yazdi ,

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In the framework of the maximum a posteriori estimation, the present study proposes the non-parametric probabilistic least mean square (NPLMS) adaptive filter for the estimation of an unknown parameter vector from noisy data. The NPLMS combines parameter space and signal space by combining the prior knowledge of the probability distribution of the process with the evidence existing in the signal. Taking advantage of kernel density estimation to estimate the prior distribution, the NPLMS is robust against the Gaussian and non-Gaussian noise. To achieve this, some of the intermediate estimations are buffered and then used to estimate the prior distribution. Despite the bias-compensated algorithms, there is no need to estimate the input noise variance. Theoretical analysis of the NPLMS is derived. In addition, a variable step-size version of NPLMS is provided to reduce the steady-state error. Simulation results in the system identification and prediction show the acceptable performance of the NPLMS in the noisy stationary and non-stationary environments against the bias compensated and normalized LMS algorithms.


, Least man square, adaptive filter, maximum a posteriori estimation, kernel density estimation, probabilistic modeling
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author = {Ashkezari Toussi, Soheila and Sadoghi Yazdi, Hadi},
title = {Incorporating Non-parametric Knowledge to the Least Mean Square Adaptive Filter},
journal = {Circuits, Systems and Signal Processing},
year = {2018},
month = {October},
issn = {0278-081X},
pages = {1--24},
numpages = {23},
keywords = {Least man square; adaptive filter; maximum a posteriori estimation; kernel density estimation; probabilistic modeling},


%0 Journal Article
%T Incorporating Non-parametric Knowledge to the Least Mean Square Adaptive Filter
%A Ashkezari Toussi, Soheila
%A Sadoghi Yazdi, Hadi
%J Circuits, Systems and Signal Processing
%@ 0278-081X
%D 2018