可逆时频曲面

Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (Cat. No.98TH8380) Pub Date : 1998-10-06 DOI:10.1109/TFSA.1998.721349

D. Nelson

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引用次数: 11

摘要

时频分析中的一个经典问题是对时频表面进行反演，以恢复其TF表示为该表面的信号。给出了一类可逆曲面。在这一类中，可以使用简单的过程直接从表面恢复信号和“频谱”。这些曲面是一维线性变换的线性推广，可以是复值曲面。结果表明，与非线性曲面相关的一些悖论可以在可逆曲面中得到解决。

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Invertible time-frequency surfaces

A classical problem in time-frequency (TF) analysis is the inversion of a TF surface to recover a signal whose TF representation is that surface. A class of invertible surfaces is presented. In this class, simple processes may be used to recover the signal and "spectrum" directly from the surface. These surfaces are linear generalizations of one-dimensional linear transforms, and may be complex valued. It is shown that several of the paradoxes associated with nonlinear surfaces may be resolved in invertible surfaces.

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Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (Cat. No.98TH8380)

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