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Title Details:
Discrete Fourier Transform
Authors: Liavas, Athanasios
Karystinos, George
Description:
Abstract:
In Chapter 9, we define the Discrete Fourier Transform (DFT), by sampling in the frequency domain, and the circular symmetries of a sequence. Then, we prove the following properties of DFT: periodicity, linearity, cyclic convolution, time-reversal property, cyclic shift in the time domain, and cyclic shift in the frequency domain. Finally, we present how DFT can be used for the calculation of the output of a linear filter.
Linguistic Editors: Koulopoulos, Nikolaos
Technical Editors: Karystinos, George
Graphic Editors: Karystinos, George
Type: Chapter
Creation Date: 05-12-2024
Item Details:
License: Attribution - NonCommercial - ShareAlike 4.0 International (CC BY-NC-SA 4.0)
Handle http://hdl.handle.net/11419/14252
Bibliographic Reference: Liavas, A., & Karystinos, G. (2024). Discrete Fourier Transform [Chapter]. In Liavas, A., & Karystinos, G. 2024. Signals and Systems [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/14252
Language: Greek
Is Part of: Signals and Systems
Publication Origin: Kallipos, Open Academic Editions