Compressive sensing reconstruction of signals with sinusoidal phase modulation: Application to radar micro-Doppler

The algorithm for compressive sensing reconstruction of signals with sinusoidal phase modulation is proposed. The signal is firstly demodulated and reduced to a set of sparse sinusoids, while the reconstruction is achieved by exploiting the sparsity in the DFT domain. The demodulation process is based on the parameters search method which also employs specific compressive sensing reconstruction procedure to detect the exact parameters sets. The procedure is tested on the multicomponent signals with sinusoidal modulation that often appear in radar communication as a micro-Doppler part reflected from fast rotating scatterers.