WAVELET BASES OBTAINED FROM THE RAISED-COSINE FILTER

In this paper, new wavelet bases are presented. We address problems as sociated with the proposed matched filter in multirate systems, using an optimum receiver that maximises the SNR at the sampling instant. To satisfy the Nyquist (ISI-free transmission) and matched filter (maxim um SNR at the sampling instant) criteria, the overall system filtering strategy requires to split the narrowest filter equally between trans mitter and receiver. In data transmission systems a raised-cosine filt er is therefore often used to bandlimit signals from which wavelet bas es are derived. Sampling in multiresolution subspaces is also discusse d.