A Source-Channel Separation Theorem With Application to the Source Broadcast Problem
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abstract
A converse method is developed for the source broadcast problem. Specifically, it is
shown that the separation architecture is optimal for a variant of the source broadcast
problem and the associated source-channel separation theorem can be leveraged, via
a reduction argument, to establish a necessary condition for the original problem,
which uni es several existing results in the literature. Somewhat surprisingly, this
method, albeit based on the source-channel separation theorem, can be used to prove
the optimality of non-separation based schemes and determine the performance limits
in certain scenarios where the separation architecture is suboptimal.