Detection performance of Compressive Sensing applied to radar

In this paper some results are presented on detection performance of radar using Compressive Sensing. Compressive sensing is a recently developed theory which allows reconstruction of sparse signals with a number of measurements much lower than implied by the Nyquist rate. In this work the behavior of detection and false alarm performance of a CS based radar using a stepped frequency waveform is analyzed. The results are obtained via simulations with known noise levels for several different scenarios (e.g. single and multiple targets, varying compression factors and Signal to Noise Ratios (SN R)). Performance of CS reconstruction and detection are analyzed by means of Receiver Operating Characteristic (ROC) curves and compared to conventional Matched Filtering.