Convolution and correlation theorems for Wigner-Ville distribution associated with the offset linear canonical transform

被引：27

作者：

Urynbassarova, Didar ^{[1
]}

Li, Bing Zhao ^{[1
]}

Tao, Ran ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

来源：

OPTIK | 2018年 / 157卷

关键词：

Convolution; Correlation; Linear frequency modulated signal; Offset linear canonical transform; Wigner-Ville distribution; FOURIER-TRANSFORM;

D O I：

10.1016/j.ijleo.2017.08.099

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The Wigner-Ville distribution associated with the linear canonical transform (WVD-LCT) attracts serious attention in recent literatures. For this, currently, many time-frequency distributions are derived. In this paper, generalization of the WVD-LCT the Wigner-Ville distribution in the offset linear canonical transform (WVD-OLCT) is shown. Also various properties and applications, such as detection of the linear frequency modulated (LFM) signals are established in detail. And the much important result for this transform is that convolution and correlation theorems are derived. In other words, we generalized the WVD-LCT into the WVD-OLCT. (C) 2017 Elsevier GmbH. All rights reserved.

引用

页码：455 / 466

页数：12

共 28 条

[1] OPTICAL OPERATIONS ON WAVE-FUNCTIONS AS THE ABELIAN SUBGROUPS OF THE SPECIAL AFFINE FOURIER TRANSFORMATION [J].

ABE, S ;

SHERIDAN, JT .

OPTICS LETTERS, 1994, 19 (22) :1801-1803

[2] Convolution and Correlation Theorems for Wigner-Ville Distribution Associated with Linear Canonical Transform [J].

Bahri, Mawardi ;

Ashino, Ryuichi .

2015 12TH INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY - NEW GENERATIONS, 2015, :341-346

[3] Wigner-Ville Distribution Associated with the Linear Canonical Transform [J].

Bai, Rui-Feng ;

Li, Bing-Zhao ;

Cheng, Qi-Yuan .

JOURNAL OF APPLIED MATHEMATICS, 2012,

[4] ANALYSIS OF MULTICOMPONENT LFM SIGNALS BY A COMBINED WIGNER-HOUGH TRANSFORM [J].

BARBAROSSA, S .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1995, 43 (06) :1511-1515

[5]

Bhandari A., 2015, CONVOLUTION PRODUCT

[6]

Bracewell R.N., 1986, FOURIER TRANSFORM IT

[7]

Bracewell RN, 1986, The hartley transform

[8]

Debnath L., 2002, PINSA-A (Proceedings of the Indian National Science Academy) Part A (Physical Sciences), V68, P35

[9] Convolution and correlation theorems for the two-dimensional linear canonical transform and its applications [J].

Feng, Qiang ;

Li, Bing-Zhao .

IET SIGNAL PROCESSING, 2016, 10 (02) :125-132

[10]

Goodman J. W, 1988, Introduction to Fourier Optics

← 1 2 3 →