bv_cvxbook_extra_exercises

# the problem is to nd rates r rn and time slot

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Unformatted text preview: Power allocation with coherent combining receivers. In this problem we consider a variation on the power allocation problem described on pages 4-13 and 4-14 of the notes. In that problem we have m transmitters, each of which transmits (broadcasts) to n receivers, so the total number of receivers is mn. In this problem we have the converse: multiple transmitters send a signal to each receiver. More speciﬁcally we have m receivers labeled 1, . . . , m, and mn transmitters labeled (j, k ), j = 1, . . . , m, k = 1, . . . , n. The transmitters (i, 1), . . . , (i, n) all transmit the same message to the receiver i, for i = 1, . . . , m. Transmitter (j, k ) operates at power pjk , which must satisfy 0 ≤ pjk ≤ Pmax , where Pmax is a given maximum allowable transmitter power. The path gain from transmitter (j, k ) to receiver i is Aijk &gt; 0 (which are given and known). Thus the power received at receiver i from transmitter (j, k ) is given by Aijk pjk . For i = j , the received power Aijk pjk represents an interference signal....
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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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