In this work we present some results and applications concernig the recent theory of modulated wavelet tight frames. In paticulary we give a parameterization of even-lenght multiplicty M Cosine-modulated wavelet tight frames, where both the wavelets and the multiresolution analysis are uniquely determined by scaling function $\psi_0(t)[6,7]$. We make this using the recently developed theory of even-lenght Cosine-modulated filter banks. In this work, an application of the modulated wavelet algorithm to signal compression is shown, and this case some valutationobjective valuatin of the efficiency of this new classes of wavelet function are given, in this kind of problem.