Radar echo signal detection with sparse representations

Sparse decomposition can explore the most important or interesting features of a signal, thus it is very favorable in data compression, noise reduction, signal analysis, correction and other applications. In this paper, we propose a method of radar echo signal detection with sparse representations. In the proposed method, we first design a waveform-matched dictionary according to the a priori knowledge of the transmitted signal to sparsely represent the radar echo signal. The components in the dictionary have exactly the same waveform as the transmitted signal. With this dictionary, the echo signals of a given radar system have very sparse representation. Using the sparse representation based on the waveform-matched dictionary, the radar echo detection can bi achieved. Simulation results show that the proposed method is effective and has the high anti-noise ability.