Solve it without using z transfo **Problem Description:**Consider the discrete-time LTI (Linear Time-Invariant) system shown below with the impulse response \( h(n) = \left(\frac{1}{3}\right)^n u(n) \).(a) Determine the system response \( y(n) \) when we apply the input \( x(n) = u(n+4) - u(n-8) \), using the properties of convolution.(b) Find the impulse response of the entire system.**Diagram Explanation:**- The diagram depicts a block diagram of the discrete-time LTI system.- The system consists of three primary components: 1. An input \( x(n) \) is fed into two parallel paths. 2. The upper path has a block labeled \( h(n) \), indicating that the input is convolved with \( h(n) \). 3. The lower path contains a delay block represented by \( z^{-2} \) followed by another convolving block \( h(n) \).- The outputs from both paths are then combined using a summation block that subtracts the lower path's output from that of the upper path.- The final output of this summation is \( y(n) \).

Answered: Image /qna-images/answer/5d9d1951-72bb-4bc0-8007-1e5bdb8c58d8.jpg

Consider the discrete-time LTI system shown below with h(n) = (½)¹u(n). (a) Determine the system response y(n) when we apply input x(n) = u(n+4)-u(n-8), using the properties of convolution. (b) Find the impulse response of the entire system. x(n) -2 h(n) h(n) y (n)

Consider the discrete-time LTI system shown below with h(n) = (½)¹u(n). (a) Determine the system response y(n) when we apply input x(n) = u(n+4)-u(n-8), using the properties of convolution. (b) Find the impulse response of the entire system. x(n) -2 h(n) h(n) y (n)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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