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<math>x[n]=</math><math>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>x[n]=</math><math>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^{1}=-1</math>
 
<math>j^{1}=-1</math>

Revision as of 14:02, 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^{1}=-1 $

$ j^{2}=-j $

$ j^{3}=1 $

$ j^{4}=j $

$ j^{5}=-1 $

$ j^{6}=-j $

$ j^{7}=1 $

$ j^{8}=j $

Alumni Liaison

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

Dr. Paul Garrett