Abstract:
An outer bound on the capacity region of broadcast channels is
presented called the degraded, same marginals (DSM) bound. This bound
includes and improves on Sato's sum-rate bound. The DSM bound is
applied to Gaussian vector broadcast channels, and it is found that
the Gel'fand/Pinsker/Costa dirty-paper coding technique achieves all
points inside the bound if only Gaussian code books are permitted.
This result suggests that dirty paper coding gives the capacity region
of Gaussian vector broadcast channels, but the optimality of Gaussian
code books remains to be verified.
Status:
To appear in the AMS-DIMACS volume
"Signal Processing for Wireless Transmission".
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