ℓp-norm based iterative adaptive approach for robust spectral analysis

Yuan Chen; H. C. So; Weize Sun

doi:10.1016/j.sigpro.2013.06.020

ℓp-norm based iterative adaptive approach for robust spectral analysis

Yuan Chen, H. C. So, Weize Sun

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

21 Citations (Scopus)

Abstract

Recently, the iterative adaptive approach (IAA) has been shown to be an effective nonparametric methodology for high-resolution spectral analysis. Its main idea is to reformulate the nonlinear frequency estimation problem as a linear model whose parameters are updated iteratively according to weighted least squares. Since the derivation of the IAA is based on ℓ₂- norm, it cannot work properly in heavy-tailed noise environment. In this paper, a generalized version of IAA is derived to provide accurate spectral estimation in the presence of impulsive noise, which replaces the ℓ₂-norm by the ℓ_p-norm where 1

Original language	English
Pages (from-to)	144-148
Journal	Signal Processing
Volume	94
Issue number	1
DOIs	https://doi.org/10.1016/j.sigpro.2013.06.020
Publication status	Published - 2014

Research Keywords

Impulsive noise
Iterative adaptive approach
Iteratively reweighted least squares
Spectral analysis

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title = "ℓp-norm based iterative adaptive approach for robust spectral analysis",

abstract = "Recently, the iterative adaptive approach (IAA) has been shown to be an effective nonparametric methodology for high-resolution spectral analysis. Its main idea is to reformulate the nonlinear frequency estimation problem as a linear model whose parameters are updated iteratively according to weighted least squares. Since the derivation of the IAA is based on ℓ2- norm, it cannot work properly in heavy-tailed noise environment. In this paper, a generalized version of IAA is derived to provide accurate spectral estimation in the presence of impulsive noise, which replaces the ℓ2-norm by the ℓp-norm where 1",

keywords = "Impulsive noise, Iterative adaptive approach, Iteratively reweighted least squares, Spectral analysis",

author = "Yuan Chen and So, {H. C.} and Weize Sun",

year = "2014",

doi = "10.1016/j.sigpro.2013.06.020",

language = "English",

volume = "94",

pages = "144--148",

journal = "Signal Processing",

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T1 - ℓp-norm based iterative adaptive approach for robust spectral analysis

AU - Chen, Yuan

AU - So, H. C.

AU - Sun, Weize

PY - 2014

Y1 - 2014

N2 - Recently, the iterative adaptive approach (IAA) has been shown to be an effective nonparametric methodology for high-resolution spectral analysis. Its main idea is to reformulate the nonlinear frequency estimation problem as a linear model whose parameters are updated iteratively according to weighted least squares. Since the derivation of the IAA is based on ℓ2- norm, it cannot work properly in heavy-tailed noise environment. In this paper, a generalized version of IAA is derived to provide accurate spectral estimation in the presence of impulsive noise, which replaces the ℓ2-norm by the ℓp-norm where 1

AB - Recently, the iterative adaptive approach (IAA) has been shown to be an effective nonparametric methodology for high-resolution spectral analysis. Its main idea is to reformulate the nonlinear frequency estimation problem as a linear model whose parameters are updated iteratively according to weighted least squares. Since the derivation of the IAA is based on ℓ2- norm, it cannot work properly in heavy-tailed noise environment. In this paper, a generalized version of IAA is derived to provide accurate spectral estimation in the presence of impulsive noise, which replaces the ℓ2-norm by the ℓp-norm where 1

KW - Impulsive noise

KW - Iterative adaptive approach

KW - Iteratively reweighted least squares

KW - Spectral analysis

UR - http://www.scopus.com/inward/record.url?scp=84880906948&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84880906948&origin=recordpage

U2 - 10.1016/j.sigpro.2013.06.020

DO - 10.1016/j.sigpro.2013.06.020

M3 - RGC 21 - Publication in refereed journal

SN - 0165-1684

VL - 94

SP - 144

EP - 148

JO - Signal Processing

JF - Signal Processing

IS - 1

ER -

ℓp-norm based iterative adaptive approach for robust spectral analysis

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Research Keywords

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