TY - JOUR
T1 - The ambiguity function associated with the linear canonical transform
AU - Tian-Wen, Che
AU - Bing-Zhao, Li
AU - Tian-Zhou, Xu
PY - 2012
Y1 - 2012
N2 - A new kind of ambiguity function (AF) associated with the linearcanonical transform (LCT) is proposed in this article, this new AF is defined based on the LCT and the classical AF. Firstly, the main properties and physical meanings of the newly defined AF are investigated, the results show that this kind of AF can be seen as one generalization of the classical AF. Then, the newly defined AF is applied to detect the parameters of the linear frequency modulated signals by combining with the classical Radon transform. The simulations are performed to verify the correctness of the derived results, and the comparison of the derived results with the common time-frequency analysis tools are also discussed.
AB - A new kind of ambiguity function (AF) associated with the linearcanonical transform (LCT) is proposed in this article, this new AF is defined based on the LCT and the classical AF. Firstly, the main properties and physical meanings of the newly defined AF are investigated, the results show that this kind of AF can be seen as one generalization of the classical AF. Then, the newly defined AF is applied to detect the parameters of the linear frequency modulated signals by combining with the classical Radon transform. The simulations are performed to verify the correctness of the derived results, and the comparison of the derived results with the common time-frequency analysis tools are also discussed.
KW - Ambiguity function (AF)
KW - Linear canonical transform (LCT)
KW - Radon transform (RT)
UR - http://www.scopus.com/inward/record.url?scp=84887109572&partnerID=8YFLogxK
U2 - 10.1186/1687-6180-2012-138
DO - 10.1186/1687-6180-2012-138
M3 - Article
AN - SCOPUS:84887109572
SN - 1687-6172
VL - 2012
JO - Eurasip Journal on Advances in Signal Processing
JF - Eurasip Journal on Advances in Signal Processing
IS - 1
M1 - 138
ER -