# hw5 - EE 376B/Stat 376B Handout#12 Information Theory...

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Unformatted text preview: EE 376B/Stat 376B Handout #12 Information Theory Thursday, May 4, 2006 Prof. T. Cover Due Thursday, May 11, 2006 Homework Set #5 1. Gaussian multiple access. A group of m users, each with power P , is using a Gaussian multiple access channel at capacity, so that m X i =1 R i = C mP N ¶ , (1) where C ( x ) = 1 2 log(1 + x ) and N is the receiver noise power. A new user of power P wishes to join in. (a) At what rate can he send without disturbing the other users? (b) What should his power P be so that the new users rate is equal to the combined communication rate C ( mP/N ) of all the other users? 2. Capacity of multiple access channels. Find the capacity region for each of the following multiple access channels: (a) Additive modulo 2 multiple access access channel. X 1 ∈ { , 1 } ,X 2 ∈ { , 1 } ,Y = X 1 ⊕ X 2 . (b) Multiplicative multiple access channel. X 1 ∈ {- 1 , 1 } ,X 2 ∈ {- 1 , 1 } ,Y = X 1 · X 2 ....
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hw5 - EE 376B/Stat 376B Handout#12 Information Theory...

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