Two-stage signal restoration based on a modified median filter

Chun Shu Chen, Kun Cih Chen

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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 (Formula presented.) -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.

Original languageEnglish
Pages (from-to)122-134
Number of pages13
JournalJournal of Statistical Computation and Simulation
Issue number1
StatePublished - 2 Jan 2016


  • covariance penalty
  • effective degrees of freedom
  • Gaussian mixtures
  • generalized Stein'sunbiased risk estimator
  • smoothing splines


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