Frequency estimation of mono-and multicomponent FM signal using the T-distributions

In a recent work we have proposed a subclass of Cohen's Class of quadratic time-frequency distributions (TFD's), the T-class of distributions with time-only Doppler-lag kernels to provide high-resolution and considerable cross-terms reduction for FM signals. In this work we investigate the instantaneous frequency (IF) properties of two members of this class: the hyperbolic and the exponential T-distributions in the presence of Gaussian noise. Both mono- and multi-component FM signals will be considered, with various modulation coefficients. A comparison with two well-known TFD's, Wigner-Ville and Choi-Williams distributions, is presented for performance evaluation.