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  • What is the difference between the Fourier transform and the Fourier series?

    In signal processing, the Fourier transform can reveal important characteristics of a signal, namely, its frequency components. y k + 1 = ∑ j = 0 n - 1 ω j k x j + 1 . ω = e - 2 π i / n is one of the n complex roots of unity where i is the imaginary unit.
    For x and y , the indices j and k range from 0 to n - 1 .

  • How do you find the coefficient of a Fourier series?

    The formula for Fourier series is: f(x) = a_0/2 + ∑(a_ncos(nx2π/L) + b_nsin(nx2π/L)), where L is the period of the function, 'a_0' is the constant term, 'a_n' and 'b_n' are the Fourier coefficients.

  • How do you calculate the Fourier series?

    The difference between the Fourier transform and the Fourier series is that the Fourier transform is applicable for non-periodic signals, while the Fourier series is applicable to periodic signals.

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