A note on biorthogonality of the scaling functions with arbitrary matrix dilation factor

Lei Sun and Xiaozhong Zhang

Chaos, Solitons & Fractals, 2009, vol. 41, issue 2, 711-715

Abstract: Biorthogonal wavelets can be constructed from the biorthogonal scaling functions. In this note, we consider a inverse proposition in high dimension wavelet with arbitrary matrix dilation factor and prove that if the wavelets are biorthogonal, then the associated scaling functions should be biorthogonal.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:2:p:711-715

DOI: 10.1016/j.chaos.2008.03.002

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