Fast least mean M-estimate algorithms for robust adaptive filtering in impulse noise
Yuexian Zou,Shing-Chow Chan,Tung-Sang Ng +2 more
- pp 1-4
TLDR
The new fast nonlinear adaptive filtering algorithms called the least mean M-estimate (LMM) and transform domain LMM (TLMM) algorithms are derived and Simulation results show that they are robust to impulsive noise in the desired and input signals with an arithmetic complexity of order O(N).Abstract:
Adaptive filters with suitable nonlinear devices are very effective in suppressing the adverse effect due to impulse noise. In a previous work, the authors have proposed a new class of nonlinear adaptive filters using the concept of robust statistics [1,2]. The robust M-estimator is used as the objective function, instead of the mean square errors, to suppress the impulse noise. The optimal coefficient vector for such nonlinear filter is governed by a normal equation which can be solved by a recursive least squares like algorithm with O(N2) arithmetic complexity, where N is the length of the adaptive filter. In this paper, we generalize the robust statistic concept to least mean square (LMS) and transform domain LMS algorithms. The new fast nonlinear adaptive filtering algorithms called the least mean M-estimate (LMM) and transform domain LMM (TLMM) algorithms are derived. Simulation results show that they are robust to impulsive noise in the desired and input signals with an arithmetic complexity of order O(N).read more
Citations
More filters
Journal ArticleDOI
Robust Recursive Beamforming in the Presence of Impulsive Noise and Steering Vector Mismatch
Bin Liao,Shing-Chow Chan +1 more
TL;DR: Different from conventional methods, the impulsive noise and the steering vector mismatch are simultaneously handled by extending the traditional OPAST algorithm, and hence the proposed method has low complexity and it is feasible to nonstationary scenarios with moving sources.
Proceedings ArticleDOI
Robust subspace tracking in impulsive noise
Y. Wen,S.C. Chan,K.L. Ho +2 more
TL;DR: A robust PAST algorithm, based on the concept of robust statistics, is proposed, which offers satisfactory robustness against individual and consecutive impulses, while the P AST algorithm degrades dramatically in similar impulse noise environment.
Journal ArticleDOI
Efficient DOA estimation based on variable least Lncosh algorithm under impulsive noise interferences
TL;DR: In this paper , a new DOA estimation algorithm is developed based on adaptive nulling technology and variable-parameter adaptive algorithm that is realized to reconstruct Lncosh function to modify least lncosh algorithm to implement efficient DOAs for a wider range of applications.
Journal ArticleDOI
On the Design of Robust Linear Pattern Classifiers Based on $$M$$M-Estimators
TL;DR: Simple and efficient extensions of OLAM and Adaline are developed, named Robust OLAM (ROLAM) and Robust Adaline (Radaline), which are robust to labeling errors (a.k.a. label noise), a type of outlier that often occur in classification tasks.
Journal ArticleDOI
Proportionate M-estimate adaptive filtering algorithms: Insights and improvements
TL;DR: In this article , the mean and mean-square behaviors of three recursion types of the PLMM algorithm are studied in depth, and analytically the stability, transient and steady-state results of these recursions are derived.
References
More filters
Book
Robust Regression and Outlier Detection
TL;DR: This paper presents the results of a two-year study of the statistical treatment of outliers in the context of one-Dimensional Location and its applications to discrete-time reinforcement learning.
Book
Robust statistics: the approach based on influence functions
TL;DR: This paper presents a meta-modelling framework for estimating the values of Covariance Matrices and Multivariate Location using one-Dimensional and Multidimensional Estimators.
Journal ArticleDOI
Transform domain LMS algorithm
TL;DR: In this article, the concept of transform domain adaptive filtering is introduced and the relationship between several existing frequency-domain adaptive filtering algorithms is established, and applications of the discrete Fourier transform (DFT) and the discrete cosine transform (DCT) domain adaptive filter algorithms in the areas of speech processing and adaptive line enhancers are discussed.
Journal ArticleDOI
A robust mixed-norm adaptive filter algorithm
TL;DR: A new member of the family of mixed-norm stochastic gradient adaptive filter algorithms for system identification applications based upon a convex function of the error norms that underlie the least mean square (LMS) and least absolute difference (LAD) algorithms is proposed.
Related Papers (5)
Selfperturbing recursive least squares algorithm with fast tracking capability
Dong-Jo Park,Byung-Eul Jun +1 more