Joint Wyner - Ziv / Dirty - Paper Coding by Analog Modulo - Lattice Modulation †

In this work we show how source coding with decoder side-information (Wyner-Ziv problem) and channel coding with encoder side-infotmation (Gel’fand-Pinsker problem) can be merged into a single joint source/channel scheme in the quadratic Gaussian case (where the channel is known as the dirty paper channel). This scheme achieves the optimal performance RWZ(D) = CDPC without using any informationbearing code, thus saving the complexity of channel decoding and quantization, and remaining with the task of shaping only. Furthermore, the scheme is robust to unknown signal to noise ratio (SNR) at the encoder, and for high SNR it provides full robustness, i.e. it approaches R(D) = C using an SNRindependent encoder. keywords: joint source/channel coding, analog transmission, Wyner-Ziv problem, writing on dirty paper, modulo lattice modulation, MMSE estimation, unknown SNR, broadcast channel