bv_cvxbook_extra_exercises

# The objective function can be approximated by

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Unformatted text preview: ωk ) ≤ 1.12. • For k with ωc ≤ ωk ≤ π , |H (ωk )| ≤ α. Plot H (ω ) versus ω for your design. 12.2 SINR maximization. Solve the following instance of problem 4.20: We have n = 5 transmitters, grouped into two groups: {1, 2} and {3, 4, 5}. The maximum power for each transmitter is 3, the total power limit for the ﬁrst group is 4, and the total power limit for the second group is 6. The noise σ is equal to 0.5 and the limit on total received power is 5 for each receiver. Finally, the path gain matrix is given by 1.0 0.1 0.2 0.1 0.0 0.1 1.0 0.1 0.1 0.0 G = 0.2 0.1 2.0 0.2 0.2 . 0.1 0.1 0.2 1.0 0.1 0.0 0.0 0.2 0.1 1.0 Find the transmitter powers p1 , . . . , p5 that maximize the minimum SINR ratio over all receivers. Also report the maximum SINR value. Solving the problem to an accuracy of 0.05 (in SINR) is ﬁne. Hint. When implementing a bisection method in CVX, you will need to check feasibility of a convex problem. You can do this using strcmpi(cvx_status, ’Solved’)....
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## This note was uploaded on 09/10/2013 for the course C 231 taught by Professor F.borrelli during the Fall '13 term at University of California, Berkeley.

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