Non-Separable Haar-Type Wavelets and Canonical Number Systems

A.M. Belov (Russia)


Haar-type wavelet basis, self-affine tile, canonical number systems.


In this work the method of construction of Haar-type orthonormal wavelet basis of from characteristic functions )R(2 n L Q of fundamental tiles of number systems suggested by Mendivil and Pich [1] is generalized. In the prototype work construction of Haar-type wavelet basis was built upon existence of positional number system with the complex base in the ring of Gaussian integers. In this paper the construction of Haar-type wavelet basis of associated with canonical binary number systems in other fields is considered. )R(2 n L

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