Compressed cooperation in an amplify-and-forward relay channel

The theory of compressed sensing (CS) is very attractive in that it is possible to reconstruct sparse signals with a sub-Nyquist sampling rate. Recently many researches have applied CS as the channel code, and show its great potential in communication systems. This paper studies the compressed cooperation in an amplify-and-forward (CC-AF) relay channel, where CS is used to compress the source data and AF relay is used to forward the received signals. When different deployments of measurement matrices are considered, we design different decoding strategies and analyze the corresponding achievable rates. With the derived rates, numerical calculations show that CC-AF outperforms the direct transmission without relay. In addition, the performance of CC-AF and the existing compressed cooperation with decode-and-forward relay is also compared.