This lesson illustrates the use of the discrete Fourier transform for approximating the Fourier transform by using a signal with a known Fourier transform. You will see how the choices of window length and discrete Fourier transform length affect the quality of the approximation. This example is the culmination of the concepts discussed in the three preceding lessons and provides you with a strong foundation for using the discrete Fourier transform to perform spectral analysis.
- Windows and the DTFT: Trading Resolution for Dynamic Range
- The DFT Approximation to the Fourier Transform