Course

Signal processing

Course under construction · 10 of 33 concepts published; more are added as they are reviewed.

You learn to represent, filter and analyze continuous and discrete signals using LTI systems, convolution, Fourier series and transforms, sampling, the Z-transform and wavelets, together with random processes and Wiener and Kalman filters. It is used to design filters, digitize signals without losing information and process images, including medical image registration; it helps to have taken Calculus, Complex Analysis, Linear Algebra, Probability and Statistics, Real Analysis.

Recommended before this course: Calculus · Complex analysis · Linear algebra · Probability and statistics · Real analysis (3 concepts come from those courses and are tagged)

13concepts
5topics
130exercises
≈ 7 hof study approx.

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Course path

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Sources

  • Gilbert Strang, Introduction to Linear Algebra, 6th edition, Wellesley-Cambridge Press, 2023.
  • Sheldon Axler, Linear Algebra Done Right, 4th edition, Springer, 2024.
  • David C. Lay, Steven R. Lay, Judi J. McDonald, Linear Algebra and Its Applications, 6th edition, Pearson, 2021.
  • Alan V. Oppenheim, Alan S. Willsky, Signals and Systems, 2nd edition, Pearson, 1996.
  • Alan V. Oppenheim, Ronald W. Schafer, Discrete-Time Signal Processing, 3rd edition, Pearson, 2010.
  • Elias M. Stein, Rami Shakarchi, Complex Analysis, 1st edition, Princeton University Press, 2003.
  • James Ward Brown, Ruel V. Churchill, Complex Variables and Applications, 9th edition, McGraw-Hill, 2014.
  • Lars V. Ahlfors, Complex Analysis, 3rd edition, McGraw-Hill, 1979.