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Capacity of a Class of Deterministic Relay Channels
Young-Han Kim  
Dept. of Electr. & Comput. Eng., California Univ., La Jolla, CA;

This paper appears in: Information Theory, IEEE Transactions on
Publication Date: March 2008
Volume: 54,  Issue: 3
On page(s): 1328-1329
ISSN: 0018-9448
INSPEC Accession Number: 10145827
Digital Object Identifier: 10.1109/TIT.2007.915921
Current Version Published: 2008-02-22

Abstract
The capacity of a class of deterministic relay channels with transmitter input X, receiver output Y, relay output Y1 = f(X, Y), and separate noiseless communication link of capacity R0 from the relay to the receiver, is shown to be C(R0) = sup min {I(X;Y) + R0, I(X;Y,Y,)}. P(x) Roughly speaking, every bit from the relay is worth one bit to the receiver until saturation at capacity.

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