Answered: Consider a discrete-time system given…

Consider a discrete-time system given by H(z) = = (1-1/2) (1-2) (z − 1½/2) (z -3/) }) Find the difference equation that relates the input x[n] to the output y [n]

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.16P

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Question

DISCRETE TIME GIVEN SYSTEM.Determine the poles and zeros of this system, and show how they relate to each other.The system is only marginally stable True False Find the frequency response of this system.

( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).

Consider a discrete-time system
given by
H(z) :
=
(1-1/2) (1 - 12)
(z − 1½/2) (z - })
Find the difference equation that
relates the input
x[n]
to the output
y[n]

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Step 1: Determining poles and zeros

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Step 2: Commenting on stability of a given system

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Step 3: Determining the frequency response

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Step 4: Determining the relationship between x(n) and y(n)

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