Consider a single input single output discrete-time system with x[n] as input and y[n] as output. Where the two are related as y[n]={\\begin{array}{c}n|x[n]|\end{array}, , \text{ for } 0 \leq n \leq 10 ; x[n]-x[n-1], , \text{ otherwise. }}. Which one of the following statements is true about the system?

Correct Answer is : It is casual and stable

It is neither causal nor stable

GATE Electronics and Communications (EC) 2017 Shift 1 Solved Paper

Question : 16 of 65

Marks: +1, -0

Consider a single input single output discrete-time system with x[n] as input and y[n] as output. Where the two are related as

y[n]={\{\table n{|x[n]|}, , \;\text " for "\; 0 ≤ n ≤ 10 ; x[n]-x[n-1], , \;\text " otherwise. "\;}.

Which one of the following statements is true about the system?

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