## Fourier Series and the Discrete Fourier Transform

The formula for the fourier series of the function f (x) in the interval [-L, L], i.e. -L ≤ x ≤ L is given by: f (x) = A_0 + ∑_ {n = 1}^ {∞} A_n cos (nπx/L) + ∑_ {n = 1}^ {∞} Determine math

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## Fourier series

The Fourier series synthesis equation creates a continuous periodic signal with a fundamental frequency, f, by adding scaled cosine and sine waves with ## Derivation of Fourier Series

2.2.2. The Analysis Equation The Fourier coefficients for Eq (1), the first version of the synthesis equation, can be deter-mined by evaluating the following integral. (9) Note that this integral

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## The Fourier Series 