Processing Arbitrary - Length Signals with Mdft Filter

PROCESSING ARBITRARY-LENGTH SIGNALS WITH MDFT FILTER BANKS Tanja Karp1, J org Kliewer2, Alfred Mertins1, and Norbert J. Fliege1 1Hamburg University of Te hnology, Tele ommuni ations Institute, 21071 Hamburg, Germany 2University Kiel, Institute for Network and System Theory, 24143 Kiel, Germany ABSTRACT In this paper, methods for pro essing arbitrary-length input signals with MDFT lter banks will be presented. The MDFT lter bank an be regarded as the most general type of a spe ial lass of lter banks. These lter banks have linear phase analysis lters, but di erent enters of symmetry due to subsampling with and without a phase shift [1℄, [2℄. Already known extension methods annot be applied to these lter banks in their original form [3℄. We rst disuss the symmetri extension for two spe ial input signal lengths. These ases are then in orporated in the general solution for arbitrary-length input signals. 1. MDFT FILTER BANKS The MDFT lter bank depi ted in Figure 1 is a modi ed M hannel omplex modulated lter bank with a omplex valued input signal x(n) providing perfe t re onstru tion if the linear phase prototype h(n) is designed properly [1℄.