Discrete-time Wilson expansions
AuthorsHelmut Bölcskei, Hans G. Feichtinger, Karlheinz Gröchenig, and Franz Hlawatsch
ReferenceProc. of IEEE International Symposium on Time-Frequency and Time-Scale Analysis, Paris (France), pp. 525-528, June 1996
AbstractRecently it has been shown that continuous-time orthonormal Wilson bases with good time-frequency localization can be constructed. We introduce and discuss discrete-time Wilson function sets and frames, and we show that Wilson sets and frames (potentially oversampled) can be derived from Weyl-Heisenberg sets and frames. We also show that discrete-time Wilson expansions correspond to a new class of cosine-modulated filter banks.
KeywordsDiscrete-time Wilson expansions, Weyl-Heisenberg frames, cosine-modulated filter banks, time-frequency localization
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.