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windsylph
 2 years ago
Signals and Systems: Graph Transformations: Suppose a signal x(t) looks like this: https://dl.dropbox.com/u/17638088/Capture.PNG. What does [x(t)+x(t)]u(t) look like, where u(t) is the unit step function?
windsylph
 2 years ago
Signals and Systems: Graph Transformations: Suppose a signal x(t) looks like this: https://dl.dropbox.com/u/17638088/Capture.PNG. What does [x(t)+x(t)]u(t) look like, where u(t) is the unit step function?

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kaushi
 2 years ago
Best ResponseYou've already chosen the best response.0Unit step function is defined by u(t) = { 0, t<0 and 1, t>=0 } x(t) = { t+2, 1<t<=2 { 2, 0<t<= 1 { 1, 1<t<=0 { t+1, 2<t<=1 Now, let's find g(t)= [x(t)+x(t)]u(t) for each step of x(t) when 1<t<=2 : g(t)= [(t+2)+(t+1)].1=3 when 0<t<=1 : g(t)= [2 + 1].1 = 3 when 1<t<=0 : g(t) = [1+2].0 =0 when 2<t<=1 : g(t) = [(t+1)+(t+2)].0 = 0 which gives g(t) = {0,t<0 and 3, t>=0}

windsylph
 2 years ago
Best ResponseYou've already chosen the best response.0wait, but isn't x(t) = t+1 at 1<t<=2?
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