DESIGN OF PREFILTERS FOR DISCRETE MULTIWAVELET TRANSFORMS

The pyramid algorithm for computing single wavelet transform coefficie nts is well known. The pyramid algorithm can be implemented by using t ree-structured multirate filter banks;, In this paper, we propose a ge neral algorithm to compute multiwavelet transform coefficients by addi ng proper premultirate filter banks before the vector filter banks tha t generate multiwavelets. The proposed algorithm can be thought of as a discrete vector-valued wavelet transform for certain discrete-time v ector-valued signals, The proposed algorithm can be also thought of as a discrete multiwavelet transform for discrete-time signals. We then present some numerical experiments to illustrate the performance of th e algorithm, which indicates that the energy compaction for discrete m ultiwavelet transforms may be better than the one for conventional dis crete wavelet transforms.