Convolution and correlation theorems for the offset fractional Fourier transform and its application

被引：20

作者：

Goel, Navdeep ^{[1
]}

Singh, Kulbir ^{[2
]}

机构：

[1] Punjabi Univ Guru Kashi Campus, Yadavindra Coll Engn, Elect & Commun Engn Sect, Talwandi Sabo 151302, Punjab, India

[2] Thapar Univ, Dept Elect & Commun Engn, Patiala 147004, Punjab, India

来源：

AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS | 2016年 / 70卷 / 02期

关键词：

Offset fractional Fourier transform; Convolution theorem; Correlation theorem; Multiplicative filter; LINEAR CANONICAL TRANSFORM; PRODUCT THEOREM; REPRESENTATION TRANSFORMATION; QUANTUM-MECHANICS; SIGNALS; RECONSTRUCTION; EIGENFUNCTIONS; DOMAIN;

D O I：

10.1016/j.aeue.2015.10.009

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：

This paper presents new convolution and correlation theorems in the OFRFT domain. The authors also discuss the design method of multiplicative filter for bandlimited signals for OFRFT by convolution in time domain based on fast Fourier transform (FFT) as well as in OFRFT domain. Moreover, with the help of simulation, the effect of time-shifting and frequency-modulation parameters is shown in mapping one shape of an area to the same shape of another area. (C) 2015 Elsevier GmbH. All rights reserved.

引用

页码：138 / 150

页数：13

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