id: 00912250 dt: j an: 00912250 au: Yamamoto, Hirosuke ti: Source coding theory for a triangular communication system. so: IEEE Trans. Inf. Theory 42, No.3, 848-853 (1996). py: 1996 pu: Institute of Electrical and Electronics Engineers (IEEE), New York, NY la: EN cc: ut: source coding; multiuser information theory; rate-distortion; triangular communication system ci: li: doi:10.1109/18.490549 ab: 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. rv: