(New page: == IS THIS SYSTEM TIME INVARIANT? == '''<math>X_k[n] = d[n-k] \Rightarrow Y_k[n]=(k+1)2 d[n-(k+1)]</math>''' '''TEST''' '''<math>d[n-k] \Rightarrow (k+1)2 d[n-(k+1)] \rightarrow [time ...)
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Revision as of 18:41, 12 September 2008

IS THIS SYSTEM TIME INVARIANT?

$ X_k[n] = d[n-k] \Rightarrow Y_k[n]=(k+1)2 d[n-(k+1)] $


TEST

$ d[n-k] \Rightarrow (k+1)2 d[n-(k+1)] \rightarrow [time delay] \rightarrow (k+1)^2 d[n -(k+1) - t_o] $


$ d[n-k] \rightarrow [time delay] \rightarrow d[(n-k) - t_o] \Rightarrow (k+1)^2 d[n -(k+1) - t_o] $

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett