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dc.contributor.authorWang, Yu-Pingeng
dc.contributor.authorChen, Jieeng
dc.contributor.authorWu, Qiangeng
dc.contributor.authorCastleman, Kenneth Reng
dc.date.issued2005-05-31eng
dc.description.abstractZero crossings or extrema of a wavelet transform constitute important signatures for signal analysis with the advantage of great simplicity. In this paper, we introduce a fast frequency-estimation method based on zero-crossing counting in the transform domain of a family of differential spline wavelets. The resolution and order of the vanishing moments of the chosen wavelets have a close relation with the frequency components of a signal. Theoretical results on estimating the highest and the lowest frequency components are derived, which are particularly useful for frequency estimation of harmonic signals. The results are illustrated with the help of several numerical examples. Finally, we discuss the connection of this approach with other frequency estimation methods, with the high-order level-crossing analysis in statistics, and with the scaling theorem in computer vision.eng
dc.description.versionPeer Reviewedeng
dc.identifier.citationEURASIP Journal on Advances in Signal Processing. 2005 May 31;2005(8):624376eng
dc.identifier.urihttp://dx.doi.org/10.1155/ASP.2005.1251eng
dc.identifier.urihttp://hdl.handle.net/10355/15090eng
dc.rights.holderYu-Ping Wang et al.; licensee BioMed Central Ltd.eng
dc.titleFast Frequency Estimation by Zero Crossings of Differential Spline Wavelet Transformeng
dc.typeJournal Articleeng


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