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Check whether following system
written 7.9 years ago by gravatar for teamques10 teamques10 ★ 67k •   modified 4.4 years ago

$y(n)=2x(n-1) + x(2n)$ is:
digital signal processing
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written 7.9 years ago by gravatar for teamques10 teamques10 ★ 67k •   modified 4.4 years ago

1. Linear or non linear:

Ans: $y_1(n) = 2x_1(n-1) + x_1(2n) \\ y_2(n) = 2x_2(n-1) + x_2(2n) \\ \therefore y_1(n) + y_2(n) = 2x_1(n-1) + 2x_2(n-1) + x_1(2n) + x_2(2n)….. (1) \\ Replacing \ \ x(n) by x_1(n) + x_2(n); \\ y(n) = 2x_1(n-1) + 2x_2(n-1) + x_1(2n) + x_2(2n)………...… …

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