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The time-frequency localization of trigonometric wavelets is discussed. A good measure is provided by a periodic version of the Heisenberg uncertainty principle. We consider multiresolution analyses generated by de la Vall ee Poussin means of the Dirichlet kernel. For the resulting interpolatory and orthonormal scaling functions and wavelets, the(More)
This paper presents a general approach to a multiresolution analysis and wavelet spaces on the interval Our method is based on the Chebyshev transform correspond ing shifts and the discrete cosine transform DCT For the wavelet analysis of given functions e cient decomposition and reconstruction algorithms are proposed using fast DCT algorithms As examples(More)
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