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Unformatted text preview: The total interference-plusnoise power at receiver i is given by
Ii = Aijk pjk + σ
j =i, k=1,...,n where σ > 0 is the known, given (self) noise power of the receivers. Note that the powers of the
interference and noise signals add to give the total interference-plus-noise power.
The receivers use coherent detection and combining of the desired message signals, which means
the eﬀective received signal power at receiver i is given by Si = k=1,...,n 2 (Aiik pik )1/2 . (Thus, the amplitudes of the desired signals add to give the eﬀective signal amplitude.)
The total signal to interference-plus-noise ratio (SINR) for receiver i is given by γi = Si /Ii .
The problem is to choose transmitter powers pjk that maximize the minimum SINR mini γi , subject
to the power limits.
Explain in detail how to solve this problem using convex or quasiconvex optimization. If you
transform the problem by using a diﬀerent set of variables, explain completely. Identify the objective
function, and all constraint functions, indicating if they are convex or quasiconvex, et...
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- The Aeneid