Homework 2, EEL 6509

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Consider the log-normal shadowing process described on pp. 104-110 in the book. Let BC = boundary coverage $= \mbox{Prob}
\left[ P_r (R) > \gamma \right]$. Show that

\begin{eqnarray*}U(\gamma) = BC +\exp \left( \frac{1-2ab}{b^2} \right) \mbox{Q} \left(
\frac{\sqrt{2} \left( 1-ab \right) }{b} \right),

and give the simplified value for a.

Hint: Solve for $\gamma$ in the equation for $\mbox{Prob} \left[ P_r
(R) > \gamma \right]$. Substitute the value you find into the equation for a. Then substitute this value into equation (3.78) where appropriate and simplify.

Evaluate this expression for a few points, such as n=6, BC=0.9. Do you think the Figure 3.18 on page 108 in the text is correct?

Problem 3.10 in the text

Problem 3.13 in the text

About this document ...

Homework 2, EEL 6509

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