bv_cvxbook_extra_exercises

# Also report the maximum sinr value solving the

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Unformatted text preview: n k=1 Rk j ∈M(k) 2 idc ≤ Pmax , j (37) where Pmax is a given constant. These speciﬁcations must be satisﬁed for all possible ik (t) that satisfy (30). Formulate this as a convex optimization problem in the standard form minimize f0 (x) subject to fi (x) ≤ 0, Ax = b. i = 1, . . . , p You may introduce new variables, or use a change of variables, but you must say very clearly • what the optimization variable x is, and how it corresponds to the problem variables w (i.e., is x equal to w, does it include auxiliary variables, . . . ?) • what the objective f0 and the constraint functions fi are, and how they relate to the objectives and speciﬁcations of the problem description • why the objective and constraint functions are convex • what A and b are (if applicable). 11.3 Optimal ampliﬁer gains. We consider a system of n ampliﬁers connected (for simplicity) in a chain, as shown below. The variables that we will optimize over are the gains a1 , . . . , an > 0 of the ampliﬁers. The ﬁrst...
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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 Berkeley.

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