Polynomial phase signal analysis based on the polynomial derivatives decompositions

被引：20
|
作者：
Benidir, M [1 ]
Ouldali, A
机构：
[1] Supelec, Signaux & Syst Lab, Gif Sur Yvette, France
[2] ENITA, Algiers, Algeria
来源：
IEEE TRANSACTIONS ON SIGNAL PROCESSING | 1999年 / 47卷 / 07期
关键词：
D O I：
10.1109/78.771044
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
An exact decomposition of the derivatives of any order of a polynomial phi(t) is proposed in terms of phi(t-t(0))..., phi(t-t(n)). This result allows us to introduce generalized time-frequency distributions for studying signals having a polynomial phase and a constant amplitude in order to determine the degree and the coefficients of the corresponding phase. The relationships between these distributions and the already known polynomial distributions, i,e,, the polynomial phase transform and the polynomial Wigner-Ville distribution, are discussed. Illustrations by example are proposed.
引用
收藏
页码：1954 / 1965
页数：12
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