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Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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pLease help me for the question in the image

5) Consider the system with the following input-output relation with x[n] and y[n] being input and
output respectively.
y[n] = Even{x[n – 1]}
Determine whether the system is memoryless, time invariant, linear, causal and stable.
Transcribed Image Text:5) Consider the system with the following input-output relation with x[n] and y[n] being input and output respectively. y[n] = Even{x[n – 1]} Determine whether the system is memoryless, time invariant, linear, causal and stable.
Expert Solution
Step 1

y[n]=Even{x[n-1]} = 1/2 (x[n-1] + x[-1-n])

x[n+N] ---> y[n+N]

So the signal is time invariant.

x1+x2 --> y1+y2 , and a.x1 --> a.y1

So the signal is linear.

 

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