Understanding Harmonics

Thread Starter

brightnight1

Joined Jan 13, 2018
87
I have some understanding of harmonics but I always hear about the 1st, 2nd, etc., harmonic. Do harmonics happen an either side of the signal? Is there a -1, -2, -3, etc., harmonic or does the 1st harmonic encompass the "harmonic" on either side?
 

k1ng 1337

Joined Sep 11, 2020
681
Here is a square wave which is a sum of the fundamental frequency plus infinite odd multiples of that frequency. You can use a low pass filter to select the fundamental frequency while rejecting the harmonics (overtones) or you can use a high pass filter to ignore the fundamental while selecting any harmonic of interest. The result is a sine wave as the other harmonic (or subharmonic) components of the original wave are removed. The same method allows microcontrollers to generate a much faster clock signal than the crystal can provide (its fundamental frequency) by selecting one of the overtones.

Furthermore, the timbre of a sound is the harmonic content of a waveform that gives every sound its distinct quality. A trumpet played at 440Hz sounds different than a tuba at 440Hz because of the harmonic content.

Square-Wave-as-A-Summation-of-Sine-Wave-3.jpg
 
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