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the claim

A square wave is the sum of infinitely many sine waves at odd multiples of its fundamental frequency.

the verdict
SUPPORTED
the evidence backs this
Recorded sources
3 sources for · 0 against

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

Is it true that a square wave is the sum of infinitely many sine waves at odd multiples of its fundamental frequency?

Yes. A digital signal processing textbook states that a square wave equals the sum of a fundamental sine wave and all sine waves at odd multiples of that frequency, an infinite sum. A physics education article also confirms square waves have Fourier series expansions, though it does not spell out the odd-multiple infinite sum.

Verdict: SUPPORTED · 3 sources for, 0 against · Last checked

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Evidence for · 3
Frequency multiplier
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Frequency multiplier. (n.d.). en.wikipedia.org. https://en.wikipedia.org/wiki/Frequency_multiplier

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More for · 2
Understanding Digital Signal Processing
2010
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Lyons, R. G. (2010). Understanding Digital Signal Processing. play.google.com. https://play.google.com/store/books/details?id=UBU7Y2tpwWUC&source=gbs_api

Teaching Graphical Simulations of Fourier Series Expansion of Some Periodic Waves Using Spreadsheets
2018
Get citation
Iqbal, S. & Bikramjeet, K. (2018). Teaching Graphical Simulations of Fourier Series Expansion of Some Periodic Waves Using Spreadsheets. eric.ed.gov. https://doi.org/10.1088/1361-6552/aab447

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