An effective technique for the IF estimation of FM signals in heavy-tailed noise

In this paper, we consider the analysis of frequency modulated (FM) signals corrupted by heavy-tailed additive noise. Here, we use time-frequency analysis for such signals. However, for a good performance, we need a pre-processing of the noisy signal. This pre-processing stage is based on compressing the input signal in order to increase the output signal-to-noise ratio. This result is demonstrated theoretically and by simulations. Also, we show that the proposed technique is very effective in estimating the instantaneous frequency (IF) of the noisy signal.