  New elliptic cylindrical wavelets are introduced, which exploit the
relationship between analysing filters and Floquet's solution of Mathieu
differential equations. It is shown that the transfer function of both
multiresolution filters is related to the solution of a Mathieu equation of odd
characteristic exponent. The number of notches of these analysing filters can
be easily designed. Wavelets derived by this method have potential application
in the fields of optics, microwaves and electromagnetism.
