Multiple-Source Slepian-Wolf Coding Under a Linear Equation Correlation Model

In this work we present practical coding schemes for the problem of lossless distributed source coding for multiple sources. We consider two scenarios - the classical Slepian-Wolf case where there is no feedback from the terminal to the sources and a case where there is feedback from the terminal to the source encoders. The correlation model of interest is given by a system of linear equations, a generalization of the work of Stankovic et al. '06. We propose a transformation of correlation model and a way to determine proper decoding schedules, both of which are required to obtain the optimal sum rate. Our scheme allows us to exploit more correlations than those in the previous work. Simulation results show that the proposed coding scheme has lower sum rate than previous work in both scenarios.