Fourier Series introduction
5:13
Khan AcademySal Khan
Fourier Series introduction
Fourier series are a powerful tool that can help us break down complex signals into their constituent parts. By using some basic mathematics, we can deconstruct signals into simple sine waves, making them much easier to understand and analyze.
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Fourier series provide a powerful way to represent complicated periodic functions as infinite sums of simple sine and cosine waves. The central idea is that any reasonably well-behaved periodic function can be decomposed into a weighted combination of oscillations with different frequencies, amplitudes, and phases. These basic waves act like building blocks: low-frequency terms capture the overall shape of the function, while higher-frequency terms refine its details. Mathematically, the coeffic
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