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==Periodic Function== | ==Periodic Function== | ||
| − | x[n] | + | <math>x[n]=\j^{n}</math> is a discrete time (DT) periodic signal. It's period is 4*k, where k is an integer. However, it's fundamental period is 4. |
<math>j^{4n}=j</math> | <math>j^{4n}=j</math> | ||
Revision as of 13:01, 4 September 2008
Periodic Function
$ x[n]=\j^{n} $ is a discrete time (DT) periodic signal. It's period is 4*k, where k is an integer. However, it's fundamental period is 4. $ j^{4n}=j $
$ j^{1}=-1 $
$ j^{2}=-j $
$ j^{3}=1 $
$ j^{4}=j $
$ j^{5}=-1 $
$ j^{6}=-j $
$ j^{7}=1 $
$ j^{8}=j $
