Non-linear mappings for transmission of compressed sensing images

We extend a recently proposed system based on the combination of compressive sensing and non-linear processing for the transmission of images over noisy channels. The key idea is the use of very simple non-linear 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. In order to reduce complexity a very simple approximation for the non-linear mapping is introduced. The proposed framework clearly outperforms systems based on stand-alone compressive sensing with almost negligible complexity.