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We have already proposed the orthonormal basis of wavelets having customizable frequency bands and its Hilbert transform pair. In this paper, based on them, we propose an orthonormal basis of chromatic-scale wavelets and its Hilbert transform pair. This basis is designed based on a new type of chromatic scale and its Hilbert transform pair achieves shift invariance. Additionally, we introduce its...
We have already proposed the orthonormal wavelet basis with an arbitrary real dilation factor and the orthonormal basis of wavelets having customizable frequency bands. In this paper, based on them, we propose a new types of orthonormal basis of wavelets, having not only customizable frequency bands, but also variable wavelet shapes in the time domain. This basis has flexible scaling functions, which...
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