June 2017
Beginner to intermediate
432 pages
12h 25m
English
Content preview from Digital Signal Processing 101, 2nd EditionBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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Chapter 10
Discrete and Fast Fourier Transforms (DFT, FFT)
Abstract
This chapter covers both discrete Fourier transform (DFT) and it's more efficient form, the fast Fourier transform (FFT). These transforms provide a means to convert time domain signals into frequency domain, and their inverse forms allow for the reversal. The DFT is covered in detail, as this is one of the most fundamental building blocks in digital signal processing. The FFT is a dramatically more efficient method to compute the DFT, and this is what is used in practice. Practical implementation issues such as bit growth as well as bit reversal addressing are also discussed.
Keywords
Butterfly; DFT; FFT; Frequency spectrum; IFFT; Twiddle factors
Many of us have heard the term “FFT.” ...
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