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Vector Gaussian Rate-Distortion with Variable Side Information (1612.03455v1)
Published 11 Dec 2016 in cs.IT and math.IT
Abstract: We consider rate-distortion with two decoders, each with distinct side information. This problem is well understood when the side information at the decoders satisfies a certain degradedness condition. We consider cases in which this degradedness condition is violated but the source and the side information consist of jointly Gaussian vectors. We provide a hierarchy of four lower bounds on the optimal rate. These bounds are then used to determine the optimal rate for several classes of instances.