Analysis of Closed- form Wigner Distribution in Linear Canonical Domains for Continuous-time Noisy Signals

Closed-form Wigner distribution in linear canonical domains (CICFWD) has been recently proposed for time-frequency (TF) analysis of non-stationary signals. The CICFWD represents entire class of transformations offering, at the first glance, significant flexibility in designing particular TF representation. In this paper we are studying noise influence to the CICFWD for continuous-time environment by deriving the mean value and variance of transform for Gaussian noise environment.