Wavelet frames with irregular matrix dilations and their stability |
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| Authors: | Deyun Yang Xingwei Zhou |
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| Institution: | a Department of Mathematics, Nankai University, Tianjin 300071, China
b Department of Computer Science, Taishan College, Taian 271000, China |
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| Abstract: | Let  , B and Aj ( ) be real nonsingular n×n matrices, λk ( ) be real numbers. In this paper we present a sufficient condition for the system  to be a frame for  . This sufficient condition also shows the stability of the system with respect to the perturbation of matrix dilation parameters  and the perturbation of translation parameters  . |
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| Keywords: | Fourier transform Frame Wavelet Expansive matrix |
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