ECE 280/Roberts13
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Chapter 2
- Unit step $$u(t)$$
- $$u(at)=u(t)$$
- Unit ramp ramp($$t$$)=$$r(t)$$=$$t\,u(t)$$
- $$r(at)=at\,u(at)=at\,u(t)=a\,r(t)$$
- Unit rectangle rect($$t$$)=$$u(t+1/2)-u(t-1/2)$$
- rect($$t/a$$) has a centered pulse of height 1 and width $$|a|$$
- Unit triangle tri($$t$$)=$$r(t-1)-2r(t)+2(t+1)$$
- tri($$t/a$$) is a centered triangle of width $$2|a|$$ that peaks at a height of 1
- Unit impulse $$\delta(t)$$ has an area of one at $$t=0$$
- $$\delta(at)=\frac{1}{a}\delta(t)$$