Title :
Discrete-time Wilson expansions
Author :
Bölcskei, Helmut ; Feichtinger, Hans G. ; Grochenig, Karlheinz ; Hlawatsch, Frranz
Author_Institution :
INTHFT, Vienna Univ. of Technol., Austria
Abstract :
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
Keywords :
band-pass filters; continuous time systems; discrete time systems; filtering theory; modulation; signal representation; signal sampling; time-frequency analysis; Weyl-Heisenberg frames; Weyl-Heisenberg sets; continuous-time orthonormal Wilson bases; cosine modulated filter banks; discrete-time Wilson expansions; discrete-time Wilson function frames; discrete-time Wilson function sets; oversampling; signal representation; time-frequency localization; Costs; Discrete transforms; Filter bank; Frequency; Numerical stability; Sampling methods; Signal representations;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1996., Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Paris
Print_ISBN :
0-7803-3512-0
DOI :
10.1109/TFSA.1996.550108
