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Signals and Systems by Smarajit Ghosh

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1.9 CLASSIFICATION OF DISCRETE TIME SIGNALS

Discrete time signals can be classified as follows:

  • Even and odd signals
  • Periodic and non-periodic signals
  • Deterministic and random signals
  • Energy signals and power signals
  • Muitichannel and multidimensional signals

1.9.1 Even and Odd Signals

A discrete signal is said to be even or symmetric

 

x(n) = x(−n)     (1.55)

 

A discrete signal is said to be odd or asymmetric if

 

x(n) = −x(−n)     (1.56)

 

Figures (1.22) and (1.23) show the even and odd signals.

 

Even signal

 

Fig. 1.22 Even signal

 

Odd signal

 

Fig. 1.23

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