Spectrum Analysis of a Sinusoid: Windowing, Zero-Padding, and the FFT

GUIDE: Mathematics of the Discrete Fourier Transform (DFT). Spectrum Analysis of a Sinusoid: Windowing, Zero-Padding, and the FFT

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Spectrum Analysis of a Sinusoid: Windowing, Zero-Padding, and the FFT

The examples below give a progression from the most simplistic analysis up to a proper practical treatment. Careful study of these examples will teach you a lot about how spectrum analysis is carried out on real data, and provide opportunities to see the Fourier theorems in action.



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