Hi, I have an optimization question that should be solved with the constraints which are written. λ is a constant greater than one and ρ is total power budget that we have.
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Total Power Constraint: Let ρ be a given constant, and it is referred to as the total power budget. Solve the following optimization problem:
max Rb( ρ1 ,ρ2 )
Rb = (1 + 1/( λ- 1))log2(1 +β1*ρ1/(1 +β2*ρ2))
subject to the following constraints:
ρ1 +ρ2 ≤ρ
β1 , β2 > 0
ρ1 ,ρ2 ≥ 0
ρ=constant & λ> 1 ,constant
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Answers (2)
Walter Roberson
on 7 Jan 2022
Make β1 infinite and ρ1 ,ρ2 > 0 . Then 1+β1*ρ1/(1 +β2*ρ2) will be infinite, and log2() of that will be infinite, so Rb will be infinite.
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