_Signal_FAQ05_Perfect_Square_Wave - Fourier series as a sum...

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With Gibbs phenomenon in mind, can we really represent a square wave using sum of sinusoids? Yes and no. Run the demonstration program. You will see that the representation is good at all points except at the edge when there is a jump in values. Is this reasonable? Why? Think about this: Are sine and cosine continuous waveforms? Will adding continuous waveforms give something not continuous? So will adding sines and cosines give something that has value jumps? Note that the answers are the same regardless of whether we use the complex or real
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Unformatted text preview: Fourier series, as a sum of complex sinusoids are basically sums of sines and cosines. With Gibbs phenomenon in mind, does a perfect square wave exist? No. Nothing can change, say, voltage from 0 to 5V in 0 second. It is physically impossible. Think about this. What is voltage? Due to electrons? How does voltage change? Due to electron or charge movement? Does electron have finite speed? Below speed of light? If a voltage can change instantaneously, does it mean that electron has infinite speed?...
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