Question
Given that $\mathcal{F}[f(t)]=(j / \omega)\left(e^{-j \omega}-1\right),$ find the Fourier transforms of:(a) $x(t)=f(t)+3$(b) $y(t)=f(t-2)$(c) $h(t)=f^{\prime}(t)$(d) $g(t)=4 f\left(\frac{2}{3} t\right)+10 f\left(\frac{5}{3} t\right)$
Step 1
Step 1: We are given that the Fourier transform of $f(t)$ is $\mathcal{F}[f(t)]=(j / \omega)\left(e^{-j \omega}-1\right)$. Show more…
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