Optimal threshold determination for multiscale product in wavelet denoising

Jinli Meng, Quan Pan, Hongcai Zhang

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

6 Scopus citations

Abstract

The main difficulty in multiscale product thresholding is to determine a proper threshold. In this paper, a hard thresholding function applied to multiscale product is contructed in the product form of shrinkage coefficient function and wavelet coefficients. This function is infinite-order differentiate with respect to wavelet coefficient, and can adaptively shrink wavelet coefficient in the neighborhood of the threshold. Furthermore, minimizing the Stein unbiased risk estimate (SURE) based on the thresholding function, the optimal threshold value is obtained in the mean square error (MSE) sense. In simulations to denoise multiple classic noisy signals, the traditional multiscale product coefficient thresholding is improved through using our optimal threshold.

Original languageEnglish
Title of host publicationISCIT 2005 - International Symposium on Communications and Information Technologies 2005, Proceedings
Pages570-573
Number of pages4
DOIs
StatePublished - 2005
EventISCIT 2005 - International Symposium on Communications and Information Technologies 2005 - Beijing, China
Duration: 12 Oct 200514 Oct 2005

Publication series

NameISCIT 2005 - International Symposium on Communications and Information Technologies 2005, Proceedings
VolumeII

Conference

ConferenceISCIT 2005 - International Symposium on Communications and Information Technologies 2005
Country/TerritoryChina
CityBeijing
Period12/10/0514/10/05

Keywords

  • Denoising
  • Mutiscale Product Coefficient
  • Optimal Threshold
  • Wavelet Transform

Fingerprint

Dive into the research topics of 'Optimal threshold determination for multiscale product in wavelet denoising'. Together they form a unique fingerprint.

Cite this