New Wigner Distribution and Ambiguity Function for the Offset Fractional Fourier Transform and Their Applications

被引：0
|
作者：
Minh, Lai Tien [1 ]
机构：
[1] Hanoi Architectural Univ, Dept Math, Hanoi, Vietnam
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年 / 48卷 / 05期
关键词：
ambiguity function; convolution; multiplicative filters; offset fractional Fourier transform; single- and multicomponent LFM signal; Wigner distribution; CONVOLUTION;
D O I：
10.1002/mma.10638
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper introduces the new offset fractional Fourier Wigner distribution and offset fractional Fourier ambiguity function (OFrWD and OFrAF). Moreover, many various useful properties of them are also derived. Besides, convolutions via offset fractional Fourier transform are also introduced. Furthermore, the relationships between proposed convolutions and the OFrWD as well as OFrAF are also obtained. In addition, with the help of simulation, applications of OFrWD and OFrAF are established, such as designing multiplicative filters in the offset fractional Fourier transform (OFrFT) domain and detecting the parameters of single-component and multicomponent linear frequency-modulated (LFM) signals.
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页码：5803 / 5821
页数：19
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