Abstract
Let \(B=\{R_{2{k{\varphi}}}\}\begin{array}{ll}{M-1}\\{K=0}\end{array}\cup\{R_{2{k{\psi}}}\}\begin{array}{ll}{M-1}\\{K=0}\end{array} \) be a time-frequency localized basis for \(L^2(\mathbb{Z}_{N})\), where \(\varphi\) is the mother wavelet and \(\psi \) is the father wavelet. For every signal z in L2(\(\mathbb{Z}_N\)), we get, by the fact that B is an orthonormal basis for L2(\(\mathbb{Z}_N\)) and (8.3)
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© 2011 Springer Basel AG
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Wong, M.W. (2011). Wavelet Transforms and Filter Banks. In: Discrete Fourier Analysis. Pseudo-Differential Operators, vol 5. Springer, Basel. https://doi.org/10.1007/978-3-0348-0116-4_10
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DOI: https://doi.org/10.1007/978-3-0348-0116-4_10
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