Consider the linear shift-invariant system described by the LCCDE y(n) = -y(n – 1) + 2x(n) %3D Find the response of this system to the input n = 0, 2, 4, 6, . .. %3D x(n) = otherwise Hint: Write x(n) as {1 +(–1)"}u(n) and use linearity.

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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Consider the linear shift-invariant system described by the LCCDE
y(n) = -y(n – 1) + 2x(n)
Find the response of this system to the input
n = 0, 2, 4, 6, ...
x(n) =
otherwise
Hint: Write x(n) as (1 +(-1)") u(n) and use linearity.
Transcribed Image Text:Consider the linear shift-invariant system described by the LCCDE y(n) = -y(n – 1) + 2x(n) Find the response of this system to the input n = 0, 2, 4, 6, ... x(n) = otherwise Hint: Write x(n) as (1 +(-1)") u(n) and use linearity.
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