Robust Sequential Algorithms For Nonlinear Signal Processing Under Impulse Noise

Robust nonlinear filters are robust against outliers in applications in which the underlying processes are non-Gaussian and impulsive. Among the classes of robust nonlinear filters, the sample myriad which is a maximum likelihood estimator of location derived for symmetric α-stable (SαS) distributio...

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Main Author: Goh, Benny Ming Kai
Format: Thesis
Published: 2019
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spelling my-mmu-ep.77642020-09-22T17:52:56Z Robust Sequential Algorithms For Nonlinear Signal Processing Under Impulse Noise 2019-08 Goh, Benny Ming Kai TK5101-6720 Telecommunication. Including telegraphy, telephone, radio, radar, television Robust nonlinear filters are robust against outliers in applications in which the underlying processes are non-Gaussian and impulsive. Among the classes of robust nonlinear filters, the sample myriad which is a maximum likelihood estimator of location derived for symmetric α-stable (SαS) distribution, has gained popularity in recent years due to availability of a tuneable parameter that controls the robustness of the filter. However, the high computational cost incurred for implementing sample myriad and its related frameworks renders it impractical for certain applications such as wireless communications which require very efficient algorithms. This motivates the development of new algorithms and techniques that improves the computational efficiency of the myriad-based robust nonlinear filters. First, the sample myriad and the weighted myriad filters are commonly computed using the batch processing fixed-point algorithm. Since a block of input samples has to be gathered first before the algorithm can perform estimation, significant delay may arise if the block size is large. To address this issue, a sequential sample myriad filter and a sequential weighted myriad filter are derived to compute the estimate in real-time by updating the current estimate whenever a new input sample becomes available. The result showed that the proposed sequential techniques which have a lower computational complexity, achieve almost the same convergence speed and accuracy as the classical batch processing algorithm. 2019-08 Thesis http://shdl.mmu.edu.my/7764/ http://library.mmu.edu.my/library2/diglib/mmuetd/ phd doctoral Multimedia University Faculty of Engineering & Technology
institution Multimedia University
collection MMU Institutional Repository
topic TK5101-6720 Telecommunication
Including telegraphy, telephone, radio, radar, television
spellingShingle TK5101-6720 Telecommunication
Including telegraphy, telephone, radio, radar, television
Goh, Benny Ming Kai
Robust Sequential Algorithms For Nonlinear Signal Processing Under Impulse Noise
description Robust nonlinear filters are robust against outliers in applications in which the underlying processes are non-Gaussian and impulsive. Among the classes of robust nonlinear filters, the sample myriad which is a maximum likelihood estimator of location derived for symmetric α-stable (SαS) distribution, has gained popularity in recent years due to availability of a tuneable parameter that controls the robustness of the filter. However, the high computational cost incurred for implementing sample myriad and its related frameworks renders it impractical for certain applications such as wireless communications which require very efficient algorithms. This motivates the development of new algorithms and techniques that improves the computational efficiency of the myriad-based robust nonlinear filters. First, the sample myriad and the weighted myriad filters are commonly computed using the batch processing fixed-point algorithm. Since a block of input samples has to be gathered first before the algorithm can perform estimation, significant delay may arise if the block size is large. To address this issue, a sequential sample myriad filter and a sequential weighted myriad filter are derived to compute the estimate in real-time by updating the current estimate whenever a new input sample becomes available. The result showed that the proposed sequential techniques which have a lower computational complexity, achieve almost the same convergence speed and accuracy as the classical batch processing algorithm.
format Thesis
qualification_name Doctor of Philosophy (PhD.)
qualification_level Doctorate
author Goh, Benny Ming Kai
author_facet Goh, Benny Ming Kai
author_sort Goh, Benny Ming Kai
title Robust Sequential Algorithms For Nonlinear Signal Processing Under Impulse Noise
title_short Robust Sequential Algorithms For Nonlinear Signal Processing Under Impulse Noise
title_full Robust Sequential Algorithms For Nonlinear Signal Processing Under Impulse Noise
title_fullStr Robust Sequential Algorithms For Nonlinear Signal Processing Under Impulse Noise
title_full_unstemmed Robust Sequential Algorithms For Nonlinear Signal Processing Under Impulse Noise
title_sort robust sequential algorithms for nonlinear signal processing under impulse noise
granting_institution Multimedia University
granting_department Faculty of Engineering & Technology
publishDate 2019
_version_ 1747829676993150976