Hilbert transform pairs oforthonormal bases of chromatic-scale wavelets

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 calculation method using decomposition and reconstruction algorithms.