Title Details: | |
Discrete Fourier Transform |
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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.
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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 |