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The Capacity Region of the Degraded Multiple-Input Multiple-Output Compound Broadcast Channel

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5 Author(s)
Weingarten, H. ; Dept. of Electr. Eng., Technion - Israel Inst. of Technol., Haifa, Israel ; Tie Liu ; Shamai, S. ; Steinberg, Y.
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The capacity region of a compound multiple-antenna broadcast channel is characterized when the users exhibit a certain degradedness order. The channel under consideration has two users, each user has a finite set of possible realizations. The transmitter transmits two messages, one for each user, in such a manner that regardless of the actual realizations, both users will be able to decode their messages correctly. An alternative view of this channel is that of a broadcast channel with two common messages, each common message is intended to a different set of users. The degradedness order between the two sets of realizations/users is defined through an additional, fictitious, user whose channel is degraded with respect to all realizations/users from one set while all realizations/users from the other set are degraded with respect to him.

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Information Theory, IEEE Transactions on  (Volume:55 ,  Issue: 11 )