Question

(b) Given a system $y[n] - 0.4y[n-1] = 2(0.5)^{n-1}u[n-1]$, where \ $y(-1) = 0$. Calculate the response, $y[n]$ of the system using $z$-transform (10 marks)

Name: (b) Given a system y[n] - 0.4y[n-1] = 2(0.5)^n-1u[n-1], where y(-1) = 0. Calculate the response, y[n] of the system using z-transform (10 marks)
Uploaded: 2023-06-24T13:54:20-08:00
Duration: 3 min 4 s
Channel: Adi S
Description: (b) Given a system y[n] - 0.4y[n-1] = 2(0.5)^n-1u[n-1], where y(-1) = 0. Calculate the response, y[n] of the system using z-transform (10 marks)

          (b) Given a system $y[n] - 0.4y[n-1] = 2(0.5)^{n-1}u[n-1]$, where \ $y(-1) = 0$. Calculate the response, $y[n]$ of the system using $z$-transform (10 marks)

Added by Thomas C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

06/24/2023

Step 1

The z-transform of y[n] is Y(z), and the z-transform of y[n-1] is z^-1Y(z). The z-transform of the unit step function u[n-1] is 1/(1-z^-1). Therefore, the z-transform of the given system equation is: Y(z) - 0.4z^-1Y(z) = 20.5/(1-z^-1) Show more…

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