How can I express r(t) using Dirac delta function or Heaviside step function?
I know that Heaviside is the antiderivative of Dirac.
EDIT:
then i got
I believe that I have to use the Frequency shift property to get rid of , but how?
How can I express r(t) using Dirac delta function or Heaviside step function?
I know that Heaviside is the antiderivative of Dirac.
EDIT:
then i got
I believe that I have to use the Frequency shift property to get rid of , but how?
The Heaviside function, H(x), has the value 0 for x< 0, 1 for x> 0. Here, you have to move that "cut point" to x= 1 and reverse ">" and "<". We can do that using
H(1- x). When x< 1, 1- x> 1 so H(1- x)= 1. When x> 1, 1- x< 0 so H(1- x)= 0. You want 8sin(t) for t< 1, 0 for t> 1 so you want 8sin(t)H(1- t).
EDIT:
then i got
I believe that I have to use the Frequency shift property to get rid of , but how?