Ambiguity function surface when using prior information in compressive sensing and processing

Compressive sensing followed by direct processing of the measurements with no reconstruction has the potential to enable high resolution measurement acquisition and processing with inexpensive hardware and at low computational cost. Compressive sensing and processing (CSP) is then a suitable option for high resolution delay-Doppler radar. CSP, however, increases ambiguity function surface (AFS) sidelobes compared to Nyquist sensing and processing (NSP) and, therefore, increases uncertainty in the delay-Doppler plane. In order to reduce AFS sidelobes in CSP the prior information on the structure of the signal to be received can be used. In this work, a novel adaptive CSP mechanism is proposed to more efficiently utilize prior information on the signal structure in terms of providing further reduction in ambiguity function sidelobes compared to previously proposed adaptive CSP methods. Simulation results are provided to demonstrate the improvement in the expected mainlobe to maximum sidelobe ratio when using the new proposed adaptive method over another adaptive CSP and the non-adaptive CSP methods.