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  • How do you determine the coefficients of a Fourier series?

    The Fourier series is always a periodic function, even if original function s(x) isn't. and. represents frequency instead of time. in an interval of length.

  • Are Fourier coefficients real?

    To find a Fourier series, it is sufficient to calculate the integrals that give the coefficients a0, an, and bn and plug them into the big series formula.
    Typically, f(x) will be piecewise-defined.
    Big advantage that Fourier series have over Taylor series: the function f(x) can have discontinuities.

  • Are Fourier series coefficients periodic?

    Notice that the Fourier coefficients are real given the signal is even.
    The phase of X k is zero when X k > 0 , and π (or −π) when X k < 0 .

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