Compressive Sensing Technique for Mitigating Nonlinear Memory Effects in Radar Receivers

Abstract

Receiver nonlinearities pose a serious risk to the functionality of modern radar as they can compromise the sensors immunity to interfering signals. With the radio frequency (RF) spectrum becoming increasingly crowded, it is now more important than ever that the sensor can maintain system performance when exposed to interference. In this paper, we present a nonlinear compressive sensing (NCS) solution which, unlike the standard nonlinear equalisation (NLEQ) techniques, is designed around the forward nonlinearity rather than the inverse. Importantly, in this study the NCS theory is extended to include nonlinear memory. Furthermore, a radar specific formalisation is derived which allows the NCS algorithm to exploit the unique properties of pulsed-Doppler radar processing. As a result, the NCS solution can successfully restore system sensitivity back to the linear case when in-band interference drives the radar receiver into its nonlinear regime. Additionally, it is shown that the technique can consistently mitigate complex nonlinear memory effects generated in the RF receiver. This is a significant result as it proves that forward modelling techniques are a viable alternative to NLEQ. This is of particular importance to radar systems as they provide a far more explicit formalisation to mitigate nonlinear memory effects.