The Game

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The Game as mentioned in class starts with a Linear time invariant system and the impulse response of that system

Mathematical Property Input \Longrightarrow Output
Given \delta\ (t)\Longrightarrow h(t)
Time Invariance \delta\ (t-u)\Longrightarrow h(t-u)
Proportionality f(u)*\delta\ (t-u)\Longrightarrow f(u)*h(t-u)
Linearity \int_{-\infty}^{\infty}f(u)*\delta\ (t-u)\,du\Longrightarrow \int_{-\infty}^{\infty}f(u)*h(t-u)\,du


Nathan Sherman