Wednesday, 12 December 2012

Harmonics






Harmonics

This post will take a look at the use of harmonics. 

A harmonic of a wave is a component frequency of the signal that is an integer multiple of the fundamental frequency (http://en.wikipedia.org/wiki/Harmonic)

These screen show the addition of harmonics on a basic sine wave along with the formula to be written to add the harmonics to the wave.

This is the original sine wave


This is what the sine wave looks like when its 3rd harmonic has been added.

The sine wave with 3rd and 5th harmonics

This is what the expression looks like for a sine wave with 3rd and 5th harmonics


This is as the wave progresses into 3rd, 5th and 7th harmonics

 Expression used to add 3rd, 5th and 7th harmonics



The final wave with 3rd, 5th, 7th and now 9th harmonics


The expression with the 9th harmonic added

As you can see the wave is slowly approaching a square wave more and more with each harmonic


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