Analyze LTI systems in the s-domain. Definition $$ X(s) = \mathcal{L}{x(t)} = \int_0^{\infty} x(t) e^{-st} dt $$ Where $s = \sigma + j\omega$ is a complex frequency. Common Transforms $x(t)$ $X(s)$ ROC $\delta(t)$ $1$ All $s$ $u(t)$ $\frac{1}{s}$ $\text{Re}(s) > 0$ $e^{-at}u(t)$ $\frac{1}{s+a}$ $\text{Re}(s) > …