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Determine whether the following systems are linear or not, y(n)=x(n−2)+x(n2)
1 Answer
written 2.3 years ago by |
Solution:
Output due to weighted sum of inputs:
y3(n)=ax1(n−2)+bx2(n−2)+ax1(n2)+bx2(n2)
y1(n)=x1(n−2)+x1(n2)y2(n)=x2(n−2)+x2(n2)
ay1(n)+by2(n)=ax1(n−2)+ax1(n2)+bx2(n−2)+bx2(n2)∵y3(n)=ay1(n)+by2(n)