The generalized quadratic Gaussian CEO problem: New cases with tight rate region and applications

We study the generalized quadratic Gaussian CEO problem where K jointly Gaussian remote sources are transformed and independently-Gaussian-corrupted to form L observations, which are separately compressed by L encoders while the decoder attempts to reconstruct the K remote sources subject to a sum-distortion constraint. We first give a sufficient condition for the existing inner and outer regions to coincide, and then show that the new condition contains more matching cases than Oohama´s. The main novelty lies in the fact that rotating the remote sources via orthogonal transformation while keeping a constant observation covariance matrix and the same observation noises does not change the rate region. Further, by exploiting the relationship between the sum-rate bound of the generalized quadratic Gaussian CEO problem and that of the quadratic Gaussian multiterminal source coding problem, we obtain new cases of the latter with tight sum-rate bound.