Popov A.О.

Wavelet-Transform of Discrete Signals for Arbitrary Scales

We consider the specificity of continuous wavelet-transform of discrete signals. We propose a novel calculation method of coefficients of continuous wavelet-transform. This method can be applied if the mother wavelet function has no exact mathematical expression and is given solely by its samples at the reference time. We also illustrate possible applications of the method on the example of calculation of values of scale adapted mother wavelet function for coefficients of arbitrary dilation and squeeze