The objective of this paper is to further investigate various applications of
information Nonanticipative Rate Distortion Function (NRDF) by discussing two
working examples, the Binary Symmetric Markov Source with parameter p
(BSMS(p)) with Hamming distance distortion, and the multidimensional
partially observed Gaussian-Markov source. For the BSMS(p), we give the
solution to the NRDF, and we use it to compute the Rate Loss (RL) of causal
codes with respect to noncausal codes. For the multidimensional Gaussian-Markov
source, we give the solution to the NRDF, we show its operational meaning via
joint source-channel matching over a vector of parallel Gaussian channels, and
we compute the RL of causal and zero-delay codes with respect to noncausal
codes.Comment: 5 pages, 3 figures, accepted for publication in IEEE International
Symposium on Information Theory (ISIT) proceedings, 201