Biorthogonal bases of compactly supported wavelets

DOI Web Site Web Site 被引用文献39件

書誌事項

公開日
1992-06
権利情報
  • http://onlinelibrary.wiley.com/termsAndConditions#vor
DOI
  • 10.1002/cpa.3160450502
公開者
Wiley

この論文をさがす

説明

<jats:title>Abstract</jats:title><jats:p>Orthonormal bases of compactly supported wavelet bases correspond to subband coding schemes with exact reconstruction in which the analysis and synthesis filters coincide. We show here that under fairly general conditions, exact reconstruction schemes with synthesis filters different from the analysis filters give rise to two dual Riesz bases of compactly supported wavelets. We give necessary and sufficient conditions for biorthogonality of the corresponding scaling functions, and we present a sufficient conditions for the decay of their Fourier transforms. We study the regularity of these biorthogonal bases. We provide several families of examples, all symmetric (corresponding to “linear phase” filters). In particular we can construct symmetric biorthogonal wavelet bases with arbitraily high preassigned regularity; we also show how to construct symmetric biorthogonal wavelet bases “close” to a (nonsymmetric) orthonormal basis.</jats:p>

収録刊行物

被引用文献 (39)*注記

もっと見る

詳細情報 詳細情報について

問題の指摘

ページトップへ