Processing finite-length signals with MDFT filter banks

Several recent publications treat extension methods for nite-length input signals [1, 2] and the design of boundary lters [3, 4, 5], respectively, leading to support preservative and perfect reconstruction lter banks. These methods cannot be applied in their original form to modulated linear phase lter banks where the analysis lters have di erent centers of symmetry [6, 7, 8, 9]. However, these lter banks can keep the support preservative and perfect reconstruction property, too, if we appropriately extend the input signal. In this paper we only treat extension methods for the MDFT lter bank as it can be regarded as the most general case of the considered class. The results can be directly transferred to the lter banks proposed by Princen and Bradley [6] and Lin and Vaidyanathan [9].