The Game

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