Two-stage signal restoration based on a modified median filter

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/105926

Title:	Two-stage signal restoration based on a modified median filter
Authors:	陳春樹;Chen, Chun-Shu;Chen, Kun-Cih
Contributors:	理學院統計研究所
Keywords:	Approximation;Computer simulation;covariance penalty;Data smoothing;effective degrees of freedom;Estimates;Estimators;Gaussian mixtures;generalized Stein'sunbiased risk estimator;Recovering;Restoration;Signaling;Simulation;Smoothing;smoothing splines;Splines
Date:	2016-01-01
Issue Date:	2026-04-23 13:01:10 (UTC+8)
Publisher:	Taylor and Francis Ltd.;Abingdon: Taylor & Francis
Abstract:	摘要： Median filter is a robust technique for signal restoration when outliers occurred within observations. Moreover, smoothing splines is also an alternative method for recovering the underlying signals. Interestingly, we found that neither median filter nor smoothing splines dominates each other. To obtain a more robust signal estimate, a two-stage procedure for signal denoising is considered, in which the smoothing spline method is applied again to capture possible information within the differences of median filter and smoothing spline estimates. Then, according to an approximate estimator of -risk, a modified median filter method is proposed to estimate the underlying signals. Various comparisons are made via simulation studies to illustrate the superiority of the proposed method. 出版者： Abingdon: Taylor & Francis 出版日期： 2016-01-02 出處： Journal of statistical computation and simulation, 2016-01, Vol.86 (1), p.122-134 版權： 2015 Taylor & Francis 2015 版權： Copyright Taylor & Francis Ltd. 2016 識別號： ISSN: 0094-9655 識別號： EISSN: 1563-5163 識別號： DOI: 10.1080/00949655.2014.996152
Appears in Collections:	[Graduate Institute of Statistics] journal & Dissertation

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