Open AccessLinear Canonical Transform Related Operators and Their Applications to Signal Analysis—Part II: Applications
Author(s) -
Wang Xiaobo,
Zhang Qiliang,
Zhou You,
Qian Jing,
Zou Hongxing
Publication year - 2015
Publication title -
chinese journal of electronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.267
H-Index - 25
eISSN - 2075-5597
pISSN - 1022-4653
DOI - 10.1049/cje.2015.04.014
Subject(s) - canonical correlation , computer science , quadratic equation , signal (programming language) , algorithm , joint (building) , joint probability distribution , strengths and weaknesses , distribution (mathematics) , wigner distribution function , signal processing , mathematics , digital signal processing , artificial intelligence , statistics , mathematical analysis , physics , quantum mechanics , computer hardware , architectural engineering , philosophy , geometry , epistemology , engineering , quantum , programming language
In this part of the paper, based on the fundamentals derived in Part I, we develop and implement two new algorithms. The first one, based on the proposed correlation operation for Linear canonical transform (LCT), is designed to detect and estimate linear Frequency modulated (FM) signals. The second one, based on the proposed joint canonical distribution, aims at reducing the cross‐terms which are caused by the quadratic nature of Wigner distribution (WD). Several simulation results are given to illustrate both the strengths and weaknesses of the two algorithms.