This question is an extension to the question about WVD vs STFT originally posted Here. During the QA it was pointed out that the WVD only works for noiseless signals.
To test that out I created a simple chirp signal in MATLAB and compared WVD spectrograms at different SNRs.
Below is the time-domain signal on the left and the WVD corresponding WVD on the right for 25dB SNR:
Below is for the 0dB SNR case:
Even at 0dB SNR the presence of chirp is still visible in the WVD spectrogram, is MATLAB doing any other post-processing as well? and is the WVD really useless for time-frequency analysis of real-world signals?