出典:Wikipedia
出典:『Wikipedia』 (2011/01/24 17:38 UTC 版)
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 [1] possess potential application in the fields of optics and electromagnetism due to its symmetry.