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Wavelets And Signal Processing

Posted on:2012-06-06Degree:MasterType:Thesis
Country:ChinaCandidate:X Y MengFull Text:PDF
GTID:2178330332491934Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
At present, the signal processing as one of the field of study is a hotspot. the contrast, it changes with fourier with the nature of the progress, especially through fourier analysis can't do the local of high frequency signals with defects, meanwhile, the analysis fourier analysis epochal development as a result, the already had and widely used in signal processing. Specific said, international and domestic many scientists have put the analysis of the existing theories result of wide application in image processing and characteristics of the extraction and processing and signalling filtering, further stated that the analytical applications areas of development studies.Based on one-dimensional functions optimal restore thoughts, using classical integral discretization method, in order to two-dimensional dirichlet kernel as the main approximation tool, two-dimensional cycle of isotropic function reconstructed, got the best approximation order upper estimate.Using multidimensional wavelet multi-resolution properties of the above approximation results for further approximation research, got the multidimensional wavelet approximation results.
Keywords/Search Tags:wavelet transforms, wavelet approximation, multiresolution analysis, discretization
PDF Full Text Request
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