Modern radar systems employ low probability of intercept (LPI) signals to evade the interception by hostile electronic reconnaissance systems. One of the widely used LPI signals is the frequency modulated continuous wave (FMCW) signal, which is encountered in different radar applications. This is really a challenge to the electronic warfare (EW) because of the hardness of intercept these types of radars and signals. In this paper, we try to solve this problem so we adopt the Wigner-Ville distribution (WVD) to measure the parameters of FMCW signals. To this end, we investigate the performance of the WVD against simulated FMCW signals with different parameters and different operating conditions. Our analysis shows promising results and highlights two main challenges that may impede the use of WVD for intercepting FMCW signals. If these challenges are addressed and endowed with its simple required computation, the WVD can be a competitive candidate for FMCW signal analysis.