On the Scalar-Help-Vector Source Coding Problem

04/10/2019

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by   C. Deng, et al.

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In this paper, we consider a scalar-help-vector problem for L+1 correlated Gaussian memoryless sources. We deal with the case where L encoders observe noisy linear combinations of L correlated Gaussian scalar sources which work as partial side information at the decoder, the remaining encoder observes a vector Gaussian source which works as a primary source we need to reconstruct. We determine an outer region in the case where the sources are conditionally independent of the vector source. We also show an inner region in a special case when the vector source can be regard as K scalar sources.