# Re: Does not have any harmonics

• posted

> Hi, > Why does a sinusoidal waveform alone does not have any harmonics or > distortion ? > > For example, (Reference ->
> Sawtooth wave of constant period contains odd and even harmonics > Square wave of constant period contains odd harmonics > Triangle wave, (an integral of square wave) contains odd harmonics

Fourier analysis

demonstrates that any periodic waveform can be expressed as the sum of a series of sine waves. The relationship between the waves frequencies of the series is that there is one, called the fundamental, which is a sine wave of frequency equal to that of the periodic waveform. All of the other waves of the series have frequencies that are integer multiples of the fundamental. These are called harmonics.

If, for your periodic wave, you select a sine wave, then the fundamental of the series emulates it exactly. No other harmonics are needed.

But, How is it possible that sinusoidal wave alone does not have any > harmonics or distortion ?

Distortion is a bit different. It is a broad term that refers to a change in a waveform between the input and output of some system.

Used in the context you, it refers to the change in harmonic content introduced when driving a system with a pure sinusoidal input.

I searched the internet,but i did not find any link/pdf that talks in > detail about these . > Any ideas ? > > Thx in advans, > Karthik Balaguru
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Paul Hovnanian     mailto:Paul@Hovnanian.com
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