Quadrature compressive sampling for radar signals: Output noise and robust reconstruction

The quadrature compressive sampling (QuadCS) system is a recently developed low-rate sampling system for acquiring inphase and quadrature (I and Q) components of radar signals. This paper investigates the output noise and robust reconstruction of the QuadCS system with the practical non-ideal bandpass filter. For independently and identically distributed Gaussian input noise, we find that the output noise is a correlated Gaussian one in the non-ideal case. Then we exploit the correlation property and develop a robust reconstruction formulation. Simulations show that the reconstructed signal-to-noise ratio is enhanced 3-4dB with the robust formulation.