The convolution theorem associated with fractional wavelet transform

Y. Y. Lu, B. Z. Li, Y. H. Chen

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

Abstract

Novel FractionalWavelet Transform (NFRWT) is a comparatively new and powerful mathematical tool for signal processing. Many results from the Wavelet Transform (WT) domain have currently been extended to NFRWT. However, there are no results from the convolution theorem of the NFRWT. In this paper, we first study the convolution theorem for continuous wavelet transform, and then we derive the convolution theorem of fractional wavelet transform.

Original languageEnglish
Title of host publicationElectronics and Electrical Engineering - Proceedings of the Asia-Pacific Conference on Electronics and Electrical Engineering, EEEC 2014
EditorsAlan Zhao
PublisherCRC Press/Balkema
Pages71-74
Number of pages4
ISBN (Print)9781138028098
DOIs
Publication statusPublished - 2015
EventProceedings of the Asia-Pacific Conference on Electronics and Electrical Engineering, EEEC 2014 - Shanghai, China
Duration: 27 Dec 201428 Dec 2014

Publication series

NameElectronics and Electrical Engineering - Proceedings of the Asia-Pacific Conference on Electronics and Electrical Engineering, EEEC 2014

Conference

ConferenceProceedings of the Asia-Pacific Conference on Electronics and Electrical Engineering, EEEC 2014
Country/TerritoryChina
CityShanghai
Period27/12/1428/12/14

Keywords

  • Continuous wavelet transform
  • Convolution
  • Fractional wavelet transform

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