Abstract
In this paper, we construct a kind of bivariate real-valued orthogonal periodic wavelets. The corresponding decomposition and reconstruction algorithms involve only 8 terms respectively which are very simple in practical computation. Moreover, the relation between periodic wavelets and Fourier series is also discussed.
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Li, Q., Liang, X. Bivariate real-valued orthogonal periodic wavelets. Anal. Theory Appl. 21, 266–279 (2005). https://doi.org/10.1007/BF02836957
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DOI: https://doi.org/10.1007/BF02836957
Key words
- periodic multiresolution analysis
- two-scale dilation equation
- periodic wavelet
- discrete Fourier transform