分析频谱作为时频信号分析的工具

Proceedings of the 10th International Symposium on Image and Signal Processing and Analysis Pub Date : 2017-09-01 DOI:10.1109/ISPA.2017.8073569

V. Antsiperov

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引用次数: 1

摘要

该报告证实了分析频谱的概念和在此基础上合成信号的时频表示。考虑了解析谱的一些性质，并将它们与解析信号的相应性质进行了比较。在此比较的基础上，提出了这两个二元概念的相似性和差异性的关键特征。本文用Page和Levin的瞬时谱概念讨论了信号局部过去和局部未来的解析谱之间的关系。本文还介绍了信号局部过去和未来的解析谱与流行的二次锥形(Zhao-Atlas-Marks)时频表示的关系。

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Analytic spectrum as a tool for time-frequency signal analysis

The report substantiates the concept of the analytic spectrum and the synthesis of time-frequency representations of signals based on it. A number of properties of the analytic spectrum are considered and their comparison with the corresponding properties of the analytic signal is carried out. On the basis of this comparison, key features of similarity and dissimilarity between these dual concepts are formulated. The report discusses the relation between the analytic spectra of the local past and local future of the signal with the Page and Levin instantaneous spectra concepts. The report also presents the relation of analytic spectra of the signal's local past and future with the popular quadratic cone-shaped (Zhao-Atlas-Marks) time-frequency representations.

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Proceedings of the 10th International Symposium on Image and Signal Processing and Analysis

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