Consider the FM signal s$($t$)=10$cos$[\backslash$omega $\_($c$)$t$+100\backslash$int$\_(-\backslash$infty $)^$t m$(\backslash$sigma $)$d$\backslash$sigma $],$ where m$($t$)$ is a polar square$-$

wave signal with a duty cycle of $50\%,$ a period of $1$ s $,$ and a peak value of $5$ V $.$

$($a$)$ Sketch the instantaneous frequency waveform and the waveform of the corresponding FM

signal. $($See Fig. $5-9.)$

$($b$)$ Plot the phase deviation $\backslash$theta $($t$)$ as a function of time.

$($c$)$ Evaluate the peak frequency deviation.