The pole behavior of the phase derivative of the short-time Fourier transform

被引：15

作者：

Balazs, Peter ^{[1
]}

Bayer, Dominik ^{[1
]}

Jaillet, Florent ^{[2
]}

Sondergaard, Peter ^{[3
]}

机构：

[1] Austrian Acad Sci, Acoust Res Inst, A-1040 Vienna, Austria

[2] Aix Marseille Univ, CNRS, LIF UMR 7279, F-13288 Marseille, France

[3] Oticon AS, DK-2765 Smorum, Denmark

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2016年 / 40卷 / 03期

基金：

奥地利科学基金会;

关键词：

FREQUENCY;

D O I：

10.1016/j.acha.2015.10.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The short-time Fourier transform (STFT) is a time frequency representation widely used in audio signal processing. Recently it has been shown that not only the amplitude, but also the phase of this representation can be successfully exploited for improved analysis and processing. In this paper we describe a rather peculiar pole phenomenon in the phase derivative, a recurring pattern that appears in a characteristic way in the neighborhood around any of the zeros of the STFT, a negative peak followed by a positive one. We describe this phenomenon numerically and provide a complete analytical explanation. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：610 / 621

页数：12

共 23 条

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