Broadcast Correlated Gaussians: The Vector-Scalar Case
2012 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT)(2012)
摘要
The problem of sending a set of correlated Gaussian sources over a bandwidth-matched two-user scalar Gaussian broadcast channel is studied in this work, where the strong receiver wishes to reconstruct several source components (i.e., a vector source) under a distortion covariance matrix constraint and the weak receiver wishes to reconstruct a single source component (i.e., a scalar source) under the mean squared error distortion constraint. We provide a complete characterization of the optimal tradeoff between the transmit power and the achievable reconstruction distortion pair for this problem. The converse part is based on a new bounding technique which involves the introduction of an appropriate remote source. The forward part is based on a hybrid scheme where the digital portion uses dirty paper channel code and Wyner-Ziv source code. This scheme is different from the optimal scheme proposed by Tian et al. in a recent work for the scalar-scalar case, which implies that the optimal scheme for the scalar-scalar case is in fact not unique.
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关键词
source coding,receiver,encoding,decoding,covariance matrix,channel coding,random variables,vectors,transmit power
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