Processing arbitrary-length signals with MDFT filter banks

In this paper, methods for processing arbitrary-length input signals with MDFT lter banks will be presented. The MDFT lter bank can be regarded as the most general type of a special class of lter banks. These lter banks have linear phase analysis lters, but di erent centers of symmetry due to subsampling with and without a phase shift [1], [2]. Already known extension methods cannot be applied to these lter banks in their original form [3]. We rst discuss the symmetric extension for two special input signal lengths. These cases are then incorporated in the general solution for arbitrary-length input signals. 1. MDFT FILTER BANKS The MDFT lter bank depicted in Figure 1 is a modi ed M channel complex modulated lter bank with a complex valued input signal x(n) providing perfect reconstruction if the linear phase prototype h(n) is designed properly [1].