Line 1: Line 1:
 
==Periodic Function==
 
==Periodic Function==
  
x[n]<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]=\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 14:01, 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 $

Alumni Liaison

To all math majors: "Mathematics is a wonderfully rich subject."

Dr. Paul Garrett