The Fast Fourier Transform
نویسنده
چکیده
In the next two lectures, we will continue to expand our toolbox for computing in frequency domain, by adding two important computational tools. The first, the Fast Fourier Transform (FFT) is a family of algorithms for efficiently computing the Discrete Fourier Transform. These algorithms are of great practical importance, as theymake it possible to perform frequency domain analysis of very large signals. With this computational tool in hand, we will then describe the Short-Time Fourier Transform (STFT), which makes it possible to produce signal representations which are localized in both time and frequency, enabling us to analyze signals whose frequency content changes over time.
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