Joint Wyner-Ziv/Dirty-Paper Coding by Modulo-Lattice Modulation
The combination of source coding with decoder side information (the Wyner-Ziv problem) and channel coding with encoder side information (the Gel'fand-Pinsker problem) can be optimally solved using the separation principle. In this work, we show an alternative scheme for the quadratic-Gaussian case, which merges source and channel coding. This scheme achieves the optimal performance by applying a modulo-lattice modulation to the analog source. Thus, it saves the complexity of quantization and channel decoding, and remains with the task of "shaping" only. Furthermore, for high signal-to-noise ratio (SNR), the scheme approaches the optimal performance using an SNR-independent encoder, thus it proves for this special case the feasibility of universal joint source-channel coding.
analog transmission broadcast channel joint source/channel coding minimum mean-squared error (mmse) estimation modulo lattice modulation unknown signal-to-noise ratio (snr) writing on dirty paper wyner-ziv (wz) problem