Two-Way Lossy Compression of Product Sources With a Helper

In this paper, we investigate a two-way lossy source coding problem, where both users have access to a common message from a helper encoder. When the correlated sources are a product of two reversely degraded components, we characterize the rate-distortion region. The converse part for this mismatched case is proved by suitably applying the enhancement argument. We combine the Heegard-Berger scheme and the Wyner-Ziv encoding to obtain the achievability part.