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Author Topic: Square Waves And DC Content: Deconstructing Complex Waveforms  (Read 48 times)

M. Erik Matlock

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Square Waves And DC Content: Deconstructing Complex Waveforms
« on: October 02, 2018, 08:07:28 am »

Square Waves And DC Content: Deconstructing Complex Waveforms
Illustrating the harmonic structure (content and phase relationship) of a signal
By Charlie Hughes ē October 2, 2018


Iíve heard it argued by that square waves contain DC. How else could they have the flat top and bottom that make it square? Letís look at a square wave and see what causes it to have its square shape.

A complex waveform can be constructed from, or decomposed into, sine (and cosine) waves of various amplitude and phase relationships.

This is the basis of Fourier analysis. A square wave consists of a fundamental sine wave (of the same frequency as the square wave) and odd harmonics of the fundamental.

The amplitude of the harmonics is equal to 1/N where N is the harmonic (1, 3, 5, 7Ö). Each harmonic has the same phase relationship to the fundamental. If we construct a square wave from just the first two harmonic components we can begin to see how the square shape occurs..

Continue reading here: https://www.prosoundweb.com/channels/study_hall/square_waves_and_dc_content_deconstructing_complex_waveforms/
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