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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 $

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