$4\mathrm{.}6-4$ An angle$-$modulated signal with carrier frequency c $=2$ $106$ is

$$EM $($t$)=10$ cos $($ct $+0\mathrm{.}1$ sin $2000$t$)$

$($a$)$ Find the power of the modulated signal.

$($b$)$ Find the frequency deviation f$.$

$($c$)$ Find the phase deviation $.$

$($d$)$ Estimate the bandwidth of $$EM $($t$).$

$($a$)$ Assuming the modulated signal is a PM signal with kp $=1000,$ determine m$($t$)$ over the

interval $|$t$|1.$

$($b$)$ Assuming the modulated signal is an FM signal with kf$=1000,$ determine m$($t$)$ over the

interval $|$t$|1.$