离散时间威尔逊展开

Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96) Pub Date : 1996-06-18 DOI:10.1109/TFSA.1996.550108

H. Bolcskei, G. Feichtinger, K. Grōchenig, F. Hlawatsch

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引用次数: 30

摘要

结果表明，可以构造具有良好时频局域性的连续时间正交Wilson基。我们引入并讨论了离散时间Wilson函数集和帧，并证明了Wilson集和帧(可能过采样)可以从Weyl-Heisenberg集和帧中导出。我们还证明了离散时间威尔逊展开对应于一类新的余弦调制滤波器组。

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Discrete-time Wilson expansions

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.

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Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96)

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