FIR COMPACTION FILTERS: NEW DESIGN METHODS AND PROPERTIESz

Energy compaction has proven to be an essential concept in signal-adapted data compression. In particular, optimization of orthonormal subband coders for a given power spectrum directly leads to optimal energy compaction lters. In this paper, we consider some new design methods and properties of optimal FIR energy compaction lters. In particular , we propose a very eecient method called the window method for the general M-channel case. The method does not involve any sophisticated optimization tools and terminates in a nite number of elementary steps. Compaction gains achieved by the method are very close to the optimal ones. As the lter order increases the lters of the proposed method converge to the optimum ideal compaction lters.