@article {IOPORT.00912250, author = {Yamamoto, Hirosuke}, title = {Source coding theory for a triangular communication system.}, year = {1996}, journal = {IEEE Transactions on Information Theory}, volume = {42}, number = {3}, issn = {0018-9448}, pages = {848-853}, publisher = {Institute of Electrical and Electronics Engineers (IEEE), New York, NY}, doi = {10.1109/18.490549}, abstract = {Summary: A rate-distortion problem is considered for a triangular communication system (TCS) which has one encoder $f$ and two decoders $g_X$ and $g_Y$. The encoder $f$ maps correlated source outputs $(X^K, Y^K)$ to two codewords $W_X$ and $W_Y$, which are sent to $g_X$ and $g_Y$, respectively. The decoders $g_X$ and $g_Y$ can communicate with each other via rate-constrained channels as many times as they need, and $g_X$ reproduces $\widehat X^K$ while $g_Y$ reproduces $\widehat Y^K$. The admissible rate-distortion region is determined for this TCS. Furthermore, the relations between the TCS and the Gray-Wyner system, Wyner's common information, Yamamoto's cascade communication system, and the successive refinement system are discussed.}, identifier = {00912250}, }