## Contents

# About the Discrete-time Fourier transform (DTFT)

$ \,\mathcal{X}(\omega)=\mathcal{F}(x[n])=\sum_{n=-\infty}^{\infty}x[n]e^{-j\omega n}\, $

## Practice Problems

- What is the Fourier transform of this DT cosine?
- What is the Fourier transform of this DT rect function?
- Compute the DT Fourier transform of a sinc
- Compute the DT Fourier transform of a rect
- Compute the Fourier transform of 3^n u[-n]
- Compute the Fourier transform of u[n+1]-u[n-2]

## Slectures on DTFT

- Definition+properties of Discrete-time Fourier transform (DTFT)
- Text slecture by Jacob Holtman
- Text slecture by Fabian Faes
- Text slecture by Xian Zhang

- Discrete-time Fourier transform (DTFT) of a sampled cosine
- Text slecture by Andrew Pawling
- Text slecture by Sutton Hathorn
- Text slecture by Sahil Sanghani
- Text slecture by Yijun Han

- Table of discrete-time Fourier transform pairs and properties
- Relationship between DTFT and z-transform
- Graph of DTFT of window function

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