Evaluation of a continuous wavelet transform by solving the Cauchy problem for a system of partial differential equations |
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Authors: | E B Postnikov |
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Institution: | (1) Kursk State Pedagogical University, ul. Radischeva 33, Kursk, 305000, Russia |
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Abstract: | It is shown that the problem of evaluating the continuous Morlet wavelet transform can be stated as the Cauchy problem for a system of two partial differential equations. The initial conditions for the desired functions, i.e., for the real and imaginary parts of the wavelet transform, are the analyzed function and a vanishing function, respectively. Numerical examples are given. |
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Keywords: | continuous wavelet transform Morlet wavelet diffusion equation |
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