The Superposition Principle And Fourier

Physical Waves and Their Frequency Components.

Converting A Complex Wave To A Fourier Series

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We now know that a Fourier Series can represent any periodic wave when the Superposition Principle holds. The next question is, given a complex periodic wave, how can we extract its component waves?

Two Methods are Required

Two methods are required for this. One method is used to extract the DC component and the other method is used to extract the "partials", or sinusoids. What we are extracting in these cases are the coefficients for the Fourier Series.


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