a) Explain with the aid of diagrams, the following types of input to a discretetime system.i)ii)ii)Unit impulseUnit stepUnit rampb) The output response y, of a discrete time system is given byYn = 2 x, + 0.55 yn-1 – 0.1 yn-2i) State, giving reasons, whether this is a finite impulse response (FIR) orinfinite impulse response (IIR) system.i) Produce a block diagram of the system.i) Calculate the first 5 steps (from 0 to 4) in the response to a unit impulseinput, assuming the initial internal state of the system is zero.iv) Calculate the first 5 steps (from 0 to 4) in the response to a unit step inputassuming the initial internal state of the system is zero.v) Derive an expression for the final value of the system to a unit step inputand confirm the actual final value.

Noted- “Since you have asked multiple questions, we will solve the first question for you. If you…

Answered: a) Explain with the aid of diagrams,…

a) Explain with the aid of diagrams, the following types of input to a discrete time system. i) ii) iii) Unit impulse Unit step Unit ramp

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

a) Explain with the aid of diagrams, the following types of input to a discrete
time system.
i)
ii)
ii)
Unit impulse
Unit step
Unit ramp
b) The output response y, of a discrete time system is given by
Yn = 2 x, + 0.55 yn-1 – 0.1 yn-2
i) State, giving reasons, whether this is a finite impulse response (FIR) or
infinite impulse response (IIR) system.
i) Produce a block diagram of the system.
i) Calculate the first 5 steps (from 0 to 4) in the response to a unit impulse
input, assuming the initial internal state of the system is zero.
iv) Calculate the first 5 steps (from 0 to 4) in the response to a unit step input
assuming the initial internal state of the system is zero.
v) Derive an expression for the final value of the system to a unit step input
and confirm the actual final value.

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