Course material

Discrete signals and signal analysis

Slides	Videos
Introduction to digital signal processing	Introduction to digital signal processing (7 min)
Recap of continuous signal processing	Continuous convolution (14 min) Recap of the Fourier transform (7 min)
Analog-to-digital conversion	Analog-to-digital conversion (7 min) Quantisation (21 min) Quantisation demo (6 min) Discretising in time (7 min) Aliasing (7 min)
Discrete-time Fourier transform (DTFT)	Discrete-time Fourier transform (DTFT) (14 min) Inverse discrete-time Fourier transform (10 min) Sampling sinusoids and exponentials (19 min)
Discrete Fourier transform (DFT)
What does the DFT tell us?
Zero padding
Short-time Fourier transform (STFT)
Fast Fourier transform (FFT)
Upsampling and downsampling
Discrete convolution
Energy and power of discrete signals
Correlation for discrete energy and power signals

Discrete-time systems

Slides	Videos
Introduction to discrete-time systems	Introduction to discrete-time systems (10 min) Time-invariance in discrete systems (8 min) Linearity in discrete systems (7 min) Causality and stability in discrete systems (7 min)
Linear time-invariant (LTI) systems	Linear time-invariant (LTI) systems (15 min) LTI demo (6 min) Causality in LTI systems (11 min) Stability of LTI systems (8 min) FIR, IIR, LCCDE systems (12 min) LCCDE demo (5 min)
Overlap-and-add for fast linear filtering	Overlap-and-add for fast linear filtering (25 min)
LTI correlation for system identification	LTI correlation for system identification (17 min)

Resources

• Course video playlist
• Surviving Life

Acknowledgements

The content is based heavily on notes originally developed by Thomas Niesler. Some material was also obtained from Jaco Versfeld. Thomas and Jaco are with Stellenbosch University.

License

Herman Kamper, 2025
This work is released under a Creative Commons Attribution-ShareAlike license (CC BY-SA 4.0).