Distributed coding of three binary and Gaussian correlated sources using punctured Turbo Codes

In this paper, we address the problem of distributed coding of three correlated memoryless binary and Gaussian sources using punctured Turbo Codes. We first revisit the problem of coding with side information of two binary and Gaussian sources. The problem of coding continuous-valued Gaussian sources with partial side information is considered. The impact of the distortion induced by the quantization of the side information on the performance of the coding system is analyzed. Theoretical bounds as well as practical coding performances of source coding with partial side information are given. This leads to the derivation of appropriate settings for the problem of distributed coding of three sources. Rate bounds for the problems of coding with side information of three binary or Gaussian sources are derived. Practical solutions based on punctured Turbo Codes are provided. Simulation results are presented and analyzed for different amounts of correlation.