Approximate characterizations for the Gaussian broadcasting distortion region
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
Distortion minimization in Gaussian layered broadcast coding with successive refinement
IEEE Transactions on Information Theory
Variable-rate channel capacity
IEEE Transactions on Information Theory
Generalizing capacity: new definitions and capacity theorems for composite channels
IEEE Transactions on Information Theory
Proceedings of the 6th ACM workshop on Wireless multimedia networking and computing
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We consider the problem of transmitting a Gaussian source on a slowly fading Gaussian channel, subject to the mean-squared error distortion measure. The channel state information is known only at the receiver but not at the transmitter. The source is assumed to be encoded in a successive refinement (SR) manner, and then transmitted over the channel using the broadcast strategy. In order to minimize the expected distortion at the receiver, optimal power allocation is essential. We propose an efficient algorithm to compute the optimal solution in linear time , when the total number of possible discrete fading states. Moreover, we provide a derivation of the optimal power allocation when the fading state is a continuum, using the classical variational method. The proposed algorithm as well as the continuous solution is based on an alternative representation of the capacity region of the Gaussian broadcast channel.