Linear Canonical Transform Related Operators and Their Applications to Signal Analysis—Part II: Applications

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.