NON-ORTHOGONAL P-WAVELET PACKETS ON THE HALF-LINE

(整期优先)网络出版时间:2012-04-14
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Inthispaper,thenotionofp-waveletpacketsonthepositivehalf-lineR+isintroduced.Anewmethodforconstructingnon-orthogonalwaveletpacketsrelatedtoWalshfunctionsisdevelopedbysplittingthewaveletsubspacesdirectlyinsteadofusingthelowpassandhigh-passfiltersassociatedwiththemultiresolutionanalysisasusedintheclassicaltheoryofwaveletpackets.Further,themethodovercomesthedifficultyofconstructingnon-orthogonalwaveletpacketsofthedilationfactorp>2.