TY - JOUR
T1 - Convolution and correlation theorems for Wigner-Ville distribution associated with the offset linear canonical transform
AU - Urynbassarova, Didar
AU - Li, Bing Zhao
AU - Tao, Ran
N1 - Publisher Copyright:
© 2017 Elsevier GmbH
PY - 2018/3
Y1 - 2018/3
N2 - 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.
AB - 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.
KW - Convolution
KW - Correlation
KW - Linear frequency modulated signal
KW - Offset linear canonical transform
KW - Wigner-Ville distribution
UR - http://www.scopus.com/inward/record.url?scp=85034623123&partnerID=8YFLogxK
U2 - 10.1016/j.ijleo.2017.08.099
DO - 10.1016/j.ijleo.2017.08.099
M3 - Article
AN - SCOPUS:85034623123
SN - 0030-4026
VL - 157
SP - 455
EP - 466
JO - Optik
JF - Optik
ER -