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Find the impulse response of the system with the following transfer function: Z z² + 3z + 2 Then compute the response of the system to a discrete unit step change in the input. G(z) =

Find the impulse response of the system with the following transfer function: Z z² + 3z + 2 Then compute the response of the system to a discrete unit step change in the input. G(z) =

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Find the impulse response of the system with the following transfer function: Z z² + 3z + 2 Then compute the response of the system to a discrete unit step change in the input. G(z) =
Transcribed Image Text:Find the impulse response of the system with the following transfer function: Z z² + 3z + 2 Then compute the response of the system to a discrete unit step change in the input. G(z) =
9:27 个 bartleby.com/questior # Step 2: Calculation of impulse response Z ⇒ G (2) = Z²+3Z+2 G(Z) = * Y(Z) U(Z) # The impulse responc g(n) for the system by using inverse Z-transform of h(z) G(Z) = G(Z) Z * B A Z=-2 Z=-1 G(z)= Z ⇒ b (z) = = Solution Z z²+3Z+2= A Z+2 -2+1 1 2-1 + -1 Z+2 Z 2+1 B 2+1 + -1 1 - #s(n) = (-1)³ αu (n) - (-2)" u (n) Vo)) LTE+ LTE1 41 .Il LTE2 .1|| 48% anu (n) Z₁T) + Z.T. + 1 Z+1 Z (Z+2) (Z+1) 1-97-1 Z Z+2 using inverse z-transform both side, [using (a) u (n) Z., Z z+a (( "Z"² transform formula fraction Practial rule] The impulse response of the given ||| 2 z-a 12 <
Transcribed Image Text:9:27 个 bartleby.com/questior # Step 2: Calculation of impulse response Z ⇒ G (2) = Z²+3Z+2 G(Z) = * Y(Z) U(Z) # The impulse responc g(n) for the system by using inverse Z-transform of h(z) G(Z) = G(Z) Z * B A Z=-2 Z=-1 G(z)= Z ⇒ b (z) = = Solution Z z²+3Z+2= A Z+2 -2+1 1 2-1 + -1 Z+2 Z 2+1 B 2+1 + -1 1 - #s(n) = (-1)³ αu (n) - (-2)" u (n) Vo)) LTE+ LTE1 41 .Il LTE2 .1|| 48% anu (n) Z₁T) + Z.T. + 1 Z+1 Z (Z+2) (Z+1) 1-97-1 Z Z+2 using inverse z-transform both side, [using (a) u (n) Z., Z z+a (( "Z"² transform formula fraction Practial rule] The impulse response of the given ||| 2 z-a 12 <
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