Discrete-time Wilson expansions


Helmut Bölcskei, Hans G. Feichtinger, Karlheinz Gröchenig, and Franz Hlawatsch


Proc. of IEEE International Symposium on Time-Frequency and Time-Scale Analysis, Paris (France), pp. 525-528, June 1996.

DOI: 10.1109/TFSA.1996.550108

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Recently 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.


Discrete-time Wilson expansions, Weyl-Heisenberg frames, cosine-modulated filter banks, time-frequency localization

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