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Periodic signal

Creator
Creator
Seonglae Cho
Created
Created
2023 Sep 13 3:35
Editor
Editor
Seonglae Cho
Edited
Edited
2023 Nov 22 2:16
Refs
Refs
x(t)=x(t+T),x^[n]=x^[n+N]x(t) = x(t + T), \hat x[n] = \hat x[n + N]x(t)=x(t+T),x^[n]=x^[n+N]
Periodic Functions
Non-sinusoidal waveform
Tilda function
 
 
 

Odd, Even decomposition

x(t)=x(t)+x(−t)2+x(t)−x(−t)2x(t) = \frac{x(t) + x(-t)}{2} + \frac{x(t) - x(-t)}{2}x(t)=2x(t)+x(−t)​+2x(t)−x(−t)​
 
 
 
Periodic function
A periodic function or cyclic function is a function that repeats its values at regular intervals. For example, the trigonometric functions, which repeat at intervals of radians, are periodic functions. Periodic functions are used throughout science to describe oscillations, waves, and other phenomena that exhibit periodicity. Any function that is not periodic is called aperiodic.
Periodic function
https://en.wikipedia.org/wiki/Periodic_function
Periodic function
 
 
 

Backlinks

SeriesSustainable livingData SamplingDFT circular shiftTime signalTilda functionFourier TransformDelta function

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Periodic signal
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