  We estimate numerically the regularities of a family of Strange Non--Chaotic
Attractors related with one of the models studied in C. Grebogy et al. (1984)
(see also G. Keller (1996)). To estimate these regularities we use wavelet
analysis in the spirit of R. de la Llave et al. (2002) together with some
ad-hoc techniques that we develop to overcome the theoretical difficulties that
arise in the application of the method to the particular family that we
consider. These difficulties are mainly due to the facts that we do not have an
explicit formula for the attractor and it is discontinuous almost everywhere
for some values of the parameters. Concretely we propose an algorithm based on
the Fast Wavelet Transform. Also a quality check of the wavelet coefficients
and regularity estimates is done.
