Mathieu Wavelet - Elliptic-cylinder Wavelets

Elliptic-cylinder Wavelets

This is a wide family of wavelet system that provides a multiresolution analysis. The magnitude of the detail and smoothing filters corresponds to first-kind Mathieu functions with odd characteristic exponent. The number of notches of these filters can be easily designed by choosing the characteristic exponent. Elliptic-cylinder wavelets derived by this method possess potential application in the fields of optics and electromagnetism due to its symmetry.

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