Non-linear coding for improved performance in compressive sensing

Abstract

We propose a system based on the combination of compressive sensing and non-linear processing that shows excellent robustness against noise. The key idea is the use of nonlinear mappings that act as analog joint source-channel encoders, processing the compressive sensing measurements proceeding from an analog source and producing continuous amplitude samples that are transmitted directly through the noisy channel. As we will show in our simulation results, the proposed framework is readily applicable in practical systems such as imaging, and clearly outperforms systems based on stand-alone compressive sensing.