Oversampled FIR and IIR DFT filter banks and Weyl-Heisenberg frames
AuthorsHelmut Bölcskei, Franz Hlawatsch, and Hans G. Feichtinger
ReferenceProc. of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Atlanta (GA), Vol. 3, pp. 1391-1394, May 1996
AbstractWe apply the theory of Weyl-Heisenberg frames (WHFs) to oversampled FIR and IIR DFT filter banks (FBs). We show that the polyphase matrices provide a matrix representation of the frame operator, and we find conditions on a DFT FB to provide a WHF expansion. We also show that paraunitary and biorthogonal DFT FBs correspond to tight and exact WHFs, respectively, and that the frame bounds can be obtained by an eigenanalysis of the polyphase matrices. Simulation results demonstrate the importance of the frame bounds for the design of DFT FBs.
KeywordsOversampled DFT filter banks, FIR, IIR, frame-theory, frame bounds
Download this document:
Copyright Notice: © 1996 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.