Abstract :
A rate-distortion problem is considered for a triangular communication system (TCS), which has one encoder f and two decoders g X and gY. The encoder f maps correlated source outputs (XK,YK) to two codewords WX and WY, which are sent to gX and gY, respectively. The decoders gX and gY can communicate with each other via rate-constrained channels as many times as they need, and gX reproduces XˆK while g Y reproduces YˆK. The admissible rate-distortion region is determined for this TCS. Furthermore, the relations between the TCS and the Gray-Wyner (1974) system, Wyner´s (1974) common information, Yamamoto´s cascade communication system (1981), and the successive refinement system are discussed
Keywords :
correlation methods; decoding; rate distortion theory; source coding; telecommunication channels; Gray-Wyner system; admissible rate distortion region; cascade communication system; codewords; common information; correlated source outputs; decoders; encoder; rate constrained channels; rate distortion problem; source coding theory; successive refinement system; triangular communication system; Codes; Communication systems; Decoding; Information theory; Physics; Random variables; Rate-distortion; Source coding;
