Chapter 17, Problem 14P

(a)

To determine

Prove that $F\left\{f\left(at\right)\right\}=\frac{1}{a}F\left(\frac{\omega }{a}\right),a>0$.

(b)

To determine

Plot $F\left(\omega \right)=F\left\{f\left(at\right)\right\}$ for $a=0.5$, 1.0, and 2.0. Mention whether the sketches reflect the observation that compression in the time domain corresponds to stretching in the frequency domain.