Discrete Fourier Transform

Definition: let x[n] be a discrete-time signal with Period N. Then the Discrete Fourier Transform X[k] of x[n] is the discrete-time signal defined by

$ X [k] = \sum_{k=0}^{N-1} x[n].e^{-J.2pi.kn/N}. $

Conversely, the Inverse Discrete Fourier transform is

$ x [n] = (1/N) \sum_{k=0}^{N-1} X[k].e^{J.2pi.kn/N} $

Some pages discussing or using Discrete Fourier Transform

• Digital Signal Processing Project by A. Kumar using DFT
• A summary page about the DFT written by a student from ECE438
• Course notes on DFT
• What is the effect of zero padding a signal on its DFT?
• Practice Question on DFT computation from ECE438
• Practice Question on DFT computation from ECE438
• Practice Question on DFT computation from ECE438
• Table of DFT pairs and properties from Collective Table of Formulas

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