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Periodic Signals

Module by: Carlos E. Davila. E-mail the author

Periodic signals have the following property:

x ( t ) = x ( t + k T ) x ( t ) = x ( t + k T ) (1)

where kk is an integer and TT is called the fundamental period. Periodic have the property that they “repeat" every TT seconds. For periodic signals, the power can be defined as

p x = 1 T ∫ t 0 t 0 + T x 2 ( t ) d t p x = 1 T ∫ t 0 t 0 + T x 2 ( t ) d t (2)

Figure 1 shows an example of a periodic signal. We will study the frequency content of periodic signals in some detail in Chapter 2.

Figure 1: General periodic signal.
Figure 1 (per_sig.png)

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