Definitions of Instantaneous Frequency under physical constraints

被引：15

作者：

Oliveira, PM ^{[1
]}

Barroso, V ^{[1
]}

机构：

[1] Escola Naval, Base Naval Lisboa, Lisbon, Portugal

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2000年 / 337卷 / 04期

关键词：

time-frequency signal analysis; instantaneous frequency; mean frequency; multicomponent signals; time-varying signals;

D O I：

10.1016/S0016-0032(00)00029-6

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Ville's definition of Instantaneous Frequency (IF), even though widely used and accepted, fails in most cases of practical interest. This failure has been often reported, namely in the multicomponent case. In this paper, we will analyze the advantages and shortcomings of that definition, and determine when and why it fails, integrating all previously reported cases of failure in a simple unified theory. We will also be able to extrapolate and predict the behavior of the traditional definition for any type of multicomponent signal. Alternative definitions of IF are discussed. (C) 2000 The Franklin Institute. Published by Elsevier Science Ltd. All rights reserved.

引用

页码：303 / 316

页数：14

共 16 条

[1] ESTIMATING AND INTERPRETING THE INSTANTANEOUS FREQUENCY OF A SIGNAL .2. ALGORITHMS AND APPLICATIONS [J].