Homework 2, EEL 6509

1.
Send an e-mail to the instructor at jshea@ece.ufl.edu. I will use your e-mail address to send you updates about the class, so include any other alternate e-mail addresses you would like updates sent to.

2.
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),
\end{eqnarray*}


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?

3.
Problem 3.10 in the text

4.
Problem 3.13 in the text

About this document ...


Homework 2, EEL 6509

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John Shea
2001-02-02