基于Weyl-Heisenberg复基的频率-时间滤波器组的合成

2020 22th International Conference on Digital Signal Processing and its Applications (DSPA) Pub Date : 2020-03-01 DOI:10.1109/DSPA48919.2020.9213251

V. P. Volchkov, V. Sannikov

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引用次数: 0

摘要

这项工作致力于合成一组数字滤波器，用于在有限间隔上定义的复杂离散信号的频率-时间分析。为此，我们提出了一种特殊的工具箱——Weyl-Heisenberg复合信号基。结果表明，这种方法可以根据所需的模式灵活地调整数字滤波器的时频特性，并导致多速度多通道滤波过程，从而实现快速的计算实现。得到了描述滤波器组的最终公式，并对其计算效率进行了分析。

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Synthesises of a Frequency-Time Filter Bank Based on Weyl-Heisenberg Complex Bases

This work is dedicated to the synthesis of a bank of digital filters for frequency-time analysis of complex discrete signals defined on a finite interval. For this purpose, it is proposed to use a special toolkit - a complex signal bases of Weyl-Heisenberg. It is shown that this approach allows to flexibly adjust the time-frequency characteristics of digital filters in accordance with the desired pattern and leads to a multi-speed multi-channel filter procedure, allowing for a fast computational implementation. The final formulas describing the filter bank are obtained, and an analysis of its computational efficiency is given.

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2020 22th International Conference on Digital Signal Processing and its Applications (DSPA)

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