内禀傅里叶模态函数

IF 0.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Advances in Data Science and Adaptive Analysis Pub Date : 2017-06-01 DOI:10.1142/S2424922X17500036

V. Vatchev

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引用次数: 0

摘要

本文研究了一类具有本征模态函数所期望的性质的函数。介绍了一种依赖于极值尺度的经验瞬时频率，并讨论了它与经典解析瞬时频率的接近性。我们还获得了瞬时频率为正的充分条件，并引入了一种性质类似于EMD的方法，但以经验频率代替经验包络作为指导。通过几个数值算例对该方法进行了说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Intrinsic Fourier Mode Functions

In this paper, we study a class of functions that exhibit properties expected from intrinsic mode functions. A type of an empirical instantaneous frequency, depending on the extrema scale, is introduced and its proximity to the classical analytic instantaneous frequency is discussed. We also obtain a sufficient condition for positiveness of the instantaneous frequency and introduce a method similar in nature to EMD but with an empirical frequency as guide in lieu of empirical envelopes. The method is illustrated in several numerical examples.

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来源期刊

Advances in Data Science and Adaptive Analysis MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

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