(New page: ==Linearity== Since the system is linear the X[n] required to yield Y[n]=u[n-1] is X[n]=u[n]. ==Time Invariance==) |
(→Time Invariance) |
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==Linearity== | ==Linearity== | ||
| − | Since the system is linear the X[n] required to yield Y[n]=u[n-1] is X[n]=u[n]. | + | Since the system is linear the input, X[n], required to yield the output, Y[n]=u[n-1], is X[n]=u[n]. |
==Time Invariance== | ==Time Invariance== | ||
| + | Since the time shifting input, Xk[n]=d[n-k], yields the output, Yk[n]=(k+1)2 d[n-(k+1)], the system cannot be time invariant. | ||
Latest revision as of 09:20, 11 September 2008
Linearity
Since the system is linear the input, X[n], required to yield the output, Y[n]=u[n-1], is X[n]=u[n].
Time Invariance
Since the time shifting input, Xk[n]=d[n-k], yields the output, Yk[n]=(k+1)2 d[n-(k+1)], the system cannot be time invariant.
