Question

Let $s\left(t\right)$ be singal given to the input of a match filter receiver, where $s\left(t\right)$ is shown below.



Then the maximum amplitude of the output signal of the match filter is equal to ____ $\mu V$

• A. 750

Answer 1

The correct option is A 750
The output o the matched fileter receiver is the shifted version of the auto-correlation function of input

$\text{Output}=R(t-T)$
$t=T$
$\text{Output}=R\left(0\right)=\text{Energy}$
Maximum value of matched filter output $=$ Energy of singla
Energy of $s\left(t\right)=A^{2}T=(5{)}^2\times 3\times {10}^{-5}=75\times {10}^{-3}$
$=750\times {10}^{-6}=750\mu V$