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227-0045-00L 4 Credits BSC D-HEST , D-INFK , D-MATH , D-BIOL , D-ITET
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Signals and Systems I

Signal- und Systemtheorie I

Lecturers & Examiners: Prof. Dr. Helmut Bölcskei
VVZ CR 3.9

Last Updated: 2026-06-01 11:31:01

Abstract

Foundations of signal and system theory: Continuous-time and discrete-time signals and systems are analyzed using mathematical methods.

Objective

- You can categorize signals and systems according to their properties. - You can characterize analog linear time-invariant systems in the time and frequency domains. - You can sample analog signals and understand the sampling theorem. - You can investigate the behavior of discrete-time systems. - You can use the discrete Fourier transform to analyze signals and compute it efficiently using the fast Fourier transform.

Content

• Signal analysis in time and frequency domains • Signal and Hilbert spaces • Linear time-invariant systems • Generalized functions • Sampling theorem • Discrete-time signals and systems (z-transform) • Discrete Fourier transform (DFT) • Fast Fourier transform (FFT)

Resources

Lecture Notes

Lecture notes and problem sets with solutions on course web page.

Learning Materials (Links)

General Information

Language
German
Levels
BSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
written 180 minutes
Aids
Als Hilfsmittel während der Prüfung ist die Formelsammlungerlaubt, die Sie von uns zu Beginn der Prüfung erhalten. Die Benutzung vonRechnern/Smartphones/Tablets jeglicher Art oder schriftlicher Unterlagen ist nicht gestattet.

Course Components

Type Title Time & Place Hours
lecture Signal- und Systemtheorie I
  • Thu 08:15-10:00 (HG F 1)
2 h weekly
exercise Signal- und Systemtheorie I
Groups are selected in myStudies.
  • Tue 16:15-18:00 (CAB G 56)
  • Tue 16:15-18:00 (ETZ E 6)
  • Tue 16:15-18:00 (HG E 22)
  • Tue 16:15-18:00 (LFV E 41)
  • Wed 15:45-17:30 (HIL B 21)
  • Wed 15:45-17:30 (HIL D 10.2)
  • Wed 15:45-17:30 (HPL D 34)
2 h weekly

Offered In