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AI4QJ wrote:
. . . This is a bit philosophical for me but let me say that I believe that a square wave is definitely the sum of superimposed odd harmonics in accordance with Fourier. I believe each of the superimposed waves exists independently. If you do not believe me, just ask anyway who lives next door to a CB'er with a linear amp and transmits over modulated square waves (due to saturating his amplifier). The square waves exist but so do the component waves. I am not sure if this is related to what you are saying but it seems to be the same thing. This is indeed a philosophical question. A consequence of superposition is that there's *no possible way* to tell if a particular square wave is made from separately generated sinusoids, a single step, or combinations of any of an infinite number of other possible periodic waveforms. With the proper sorts of filters, you can take the square wave apart into any of those infinite sets of functions, "proving" the "independent existence" of each. Sinusoids are mathematically convenient, but they're by far not the only choice. Roy Lewallen, W7EL |
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