On the three terminal interactive lossy source coding problem

LEONARDO REY VEGA; PABLO PIANTANIDA; ALFRED HERO III

IEEE TRANSACTIONS ON INFORMATION THEORY

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC

Lugar: New York; Año: 2017 vol. 63 p. 532 - 562

0018-9448

In this work we explore the three-node multi-terminal lossy source coding problem which seems to offer a formidable mathematical complexity. We derive an inner bound to the general rate-distortion region of this problem which is a natural extension of the seminal work by Kaspi on the interactive two-terminal source coding problem. It is shown that this (rather involved) inner bound contains several rate-distortion regions of some relevant source coding settings. In this way, besides the non-trivial extension of the interactive two terminal problem, our results can be seen as a generalization and hence unification of several previous works in the field. By specializing the inner bound to particular cases we obtain some novel rate-distortion regions for several lossy source coding problems.