fourier series of a signal in matlab


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PDF Computing Fourier Series and Power Spectrum with MATLAB

A Fourier series takes a signal and decomposes it into a sum of sines and cosines Now we can plot the Fourier series representation using MATLAB and see how

  • How do you Fourier transform a signal in MATLAB?

    Compute the Fourier transform of the signal.
    Y = fft(X); Compute the single-sided amplitude spectrum of the signal. f = Fs*(0:(L-1)/2)/L; P2 = abs(Y/L); P1 = P2(1:(L+1)/2); P1(2:end) = 2*P1(2:end);

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

    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.

  • What is the Fourier series of a signal in MATLAB?

    x(t) = Adc + A1*cos(w*t + ph1) + A2*cos(2*w*t + ph2) + the function computes the amplitudes, Adc,A1,A2 The function automatically interpolates the original signal to avoid aliasing.
    Likewise, the function automatically determines the number of fourier components, and truncates trailing zeros.25 jan. 2013

  • To fit a Fourier model, click Fourier in the Fit Type section of the Curve Fitter tab.
    The app fits a single-term Fourier model.
    The fitted one-term Fourier model is a periodic function with a simple oscillatory behavior.

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