A Rational-dilation Wavelet Transform with Signal Dependent Dilation Factor
This paper presents a fast and effective method for the selection of the
least number of scales able to represent significant information of a signal.
To this aim, atoms interference in the time-scale wavelet domain is used
to represent distinct configurations of transform coefficients; the goal is
to find those scales where transform coefficients change their configura-
tion. The selected set of scales cannot provide a dyadic partition of the
frequency domain. The rational dilation wavelet transform is a
exible
tool that allows us to change the dilation parameter at each step of the
decomposition. Preliminary experimental results prove that a multiscale
transform with adaptive scale parameter allows us to reach better de-
noising results than the dyadic decomposition in terms of PSNR, using a
smaller number of scales and a negligible additional computational effort.