Chapter 5 The Discrete Fourier Transform
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Overview
Definition(s)
Frequency domain sampling: Properties and applications
Time-limited signals
The discrete Fourier transform (DFT)
The DFT, IDFT - computational perspective
Properties of the DFT, IDFT
Multiplication of two DFTs and circular convolution
Related DFT properties
Linear filtering methods based on the DFT
Filtering of long data sequences
Frequency analysis of signals using the DFT
Interpolation / upsampling revisited
Summary
DFT-based “real-time” filtering
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APA
Consults, E. (2026). Chapter 5 The Discrete Fourier Transform. Afribary. Retrieved June 14, 2026, from http://library.afribary.com/works/chapter-5-the-discrete-fourier-transform
MLA
Consults, Education. "Chapter 5 The Discrete Fourier Transform." Afribary, 7 Jun. 2026, http://library.afribary.com/works/chapter-5-the-discrete-fourier-transform. Accessed June 14, 2026.
Chicago
Consults, Education. "Chapter 5 The Discrete Fourier Transform." Afribary (2026). Accessed June 14, 2026. http://library.afribary.com/works/chapter-5-the-discrete-fourier-transform