Consider the following LTI system S, that is characterized by its input -output relationship, where x[n]and y[n] is the input and output signals, respectively.S: y[n] = ln]=x[n-1]a) Calculate the frequency response H(N) for the system S and plot the amplitude of H(N) for therange of N between 0 and 27.b) Is the system S a low-pass filter, high-pass filter, or band-pass filter? State your reasoningclearly.

Answered: Consider the following LTI system S,…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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Question

Consider the following LTI system S, that is characterized by its input -output relationship, where x[n]
and y[n] is the input and output signals, respectively.
S: y[n] = ln]=x[n-1]
a) Calculate the frequency response H(N) for the system S and plot the amplitude of H(N) for the
range of N between 0 and 27.
b) Is the system S a low-pass filter, high-pass filter, or band-pass filter? State your reasoning
clearly.

Expert Solution

Step 1

Linear time invariant (LTI) systems are characterized by its input-output relation ship called difference equations. It can also be characterized by its impulse response.

If the system output does not depends on past outputs it is called FIR (finite impulse response) filters. IIR (infinite impulse response filters) depends on the past outputs also. Impulse response of FIR filters are finite duration and impulse response of IIR filters are infinite duration.

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