  In this paper, the instantaneous frequency estimation of nonstationary
signals is considered. The instantaneous frequency is estimated from the
timefrequency representation where certain percent of the coefficients is
missing. The time-frequency representation is considered as an image, whose
missing pixels are reconstructed by using compressive sensing recovery
algorithms. As a time-frequency representation, the S-method is considered. The
Compressive Sensing as a intensively growing novel approach for signal
acquisition, ensures accurate signal reconstruction from relatively small
percent of available information about the signal. The theory is verified by
experimental results.
