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## The use of canonical number systems in the problem of constructing nonseparable Haar-like wavelets

# A.M. Belov^{1,2}

^{1}Samara State Aerospace University named after academician S.P. Korolev

^{2}Image Processing Systems Institute of RAS

PDF, 118 kB

**Pages: **119-123.

**Abstract:**

The paper generalizes the method of constructing a Haar-like orthonormal wavelet basis over L2(Rn) based on the characteristic functions of fundamental domains of number systems. In the prototype work, the construction of a Haar-like wavelet basis was based on the existence of a positional number system in the ring of Gaussian integers. In this paper, the authors consider the construction of a Haar-like wavelet basis over L2(R2) associated with canonical number systems in other quadratic fields.

**Keywords**:

Haar-like wavelets, Haar-type, wavelet basis, number system, Gaussian integers, quadratic fields.

**Citation**:

Belov AM. The use of canonical number systems in the problem of constructing nonseparable Haar-like wavelets. Computer Optics 2005; 28: 119-123.

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**References:

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