(→Linearity and Time Invariance) |
(→Linearity and Time Invariance) |
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Line 2: | Line 2: | ||
Given system: | Given system: | ||
Input Output | Input Output | ||
+ | |||
X0[n]=δ[n] -> Y0[n]=δ[n-1] | X0[n]=δ[n] -> Y0[n]=δ[n-1] | ||
Revision as of 09:48, 12 September 2008
Linearity and Time Invariance
Given system: Input Output
X0[n]=δ[n] -> Y0[n]=δ[n-1]
X1[n]=δ[n-1] -> Y1[n]=4δ[n-2]
X2[n]=δ[n-2] -> Y2[n]=9 δ[n-3]
X3[n]=δ[n-3] -> Y3[n]=16 δ[n-4]
... -> ...
Xk[n]=δ[n-k] -> Yk[n]=(k+1)2 δ[n-(k+1)] -> For any non-negative integer k