Consider a discrete-time LTI system defined by the following difference equation?

👨🏻‍🏫 學術台數學

[匿名]

2018-12-08 5:51 pm

回答 (1)

CogitoErgoCogitoSum

2018-12-08 11:29 pm

3 = X(z) + 7X(z)/z
X(z) (1 + 7/z) = 3
X(z) = 3z / (z+7)
x(n) = 3*(-7)^n * u(n)

Thus y(n) = 3*(-7)^n * u(n) - 3*(-7)^(n) * u(n-1) = 3 delta(n)

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