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<math> X_k[n]=X_k[n] \,</math> | <math> X_k[n]=X_k[n] \,</math> | ||
| − | where <math> X_k[n]=\delta[n-k]\,</math> and <math> Y_k[n]=(k+1)^2 \delta[n-(k+1)] \,</math> | + | where |
| + | <math> X_k[n]=\delta[n-k]\,</math> | ||
| + | and | ||
| + | <math> Y_k[n]=(k+1)^2 \delta[n-(k+1)] \,</math> | ||
| + | |||
| − | |||
Under this assumption the following system cannot possibly be time invariant because of the <math>(k+1)^2</math> term. | Under this assumption the following system cannot possibly be time invariant because of the <math>(k+1)^2</math> term. | ||
Revision as of 07:13, 11 September 2008
Question 6a
I'm assuming k is the variable representing any fo.
$ X_k[n]=X_k[n] \, $ where $ X_k[n]=\delta[n-k]\, $ and $ Y_k[n]=(k+1)^2 \delta[n-(k+1)] \, $
Under this assumption the following system cannot possibly be time invariant because of the $ (k+1)^2 $ term.
