**The Boutin Lectures on Digital Signal Processing - Part 1**

## Contents

- 1 Topic 1: Fourier transform as a function of frequency "ω" versus Fourier transform as a function of frequency
*f*(in hertz). - 2 Topic 2: Definition of the "rep" and "comb" operators.
- 3 Topic 3: Fourier transform of "rep" and "comb".
- 4 Topic 4: Discrete-time Fourier transform (DTFT)
- 5 Topic 5: Discrete-time Fourier transform (DTFT) of a sampled cosine
- 6 Topic 6: Nyquist Theorem
- 7 Topic 7
**: Frequency domain view of the relationship between a signal and a sampling of that signal.** - 8 Topic 8: Frequency domain view of downsampling
- 9 Topic 9: Frequency domain view of upsampling

## Topic 1: Fourier transform as a function of frequency "ω" versus Fourier transform as a function of frequency

## Topic 7

## Topic 1: Fourier transform as a function of frequency "ω" versus Fourier transform as a function of frequency *f* (in hertz).

- Text slecture by Dauren
- Text slecture by Randall Cochran

## Topic 2: Definition of the "rep" and "comb" operators.

- Text slecture by Xiaozhe Fan

## Topic 3: Fourier transform of "rep" and "comb".

- Video slecture by Ben Capano
- Text slecture by Matt Miller

## Topic 4: Discrete-time Fourier transform (DTFT)

- Text slecture by Jacob Holtman
- Text slecture by Fabian Faes
- Text slecture by Xian Zhang

## Topic 5: 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

## Topic 6: Nyquist Theorem

- Text slecture by Michael Hayashi
- Text slecture by Miguel Castellanos
- Text slecture by Robert Stein
- Text slecture by Erik Rozolis

## Topic 7**: Frequency domain view of the relationship between a signal and a sampling of that signal.**

- Text slecture by Botao Chen
- Text slecture by Ryan Johnson
- Text slecture by Evan Stockrahm
- Text slecture by Talha Takleh Omar Takleh

## Topic 8: Frequency domain view of downsampling

- Text slecture by John Sterrett
- Text slecture by Yerkebulan
- Text slecture by David Klouda
- Text slecture by Soonho Kwon

## Topic 9: Frequency domain view of upsampling

- Text slecture by Chloe Kauffman
- Text slecture by Mike Deufel
- Text slecture by Michel Olvera
- Text slecture by Hyungsuk Kim