Signals and Systems I

Lecture "Signals and Systems I"

Basic Information

	Lecture overview
	Lecturers:		Gerhard Schmidt (lecture), Patricia Piepjohn and Johannes Hoffmann (exercise)
	Room:		C-SR-I
	Language:		German
	Target group:		Students in electrical engineering and computer engineering
	Prerequisites:		Mathematics for engineers I, II & III; Foundations in electrical engineering I & II
	Contents:		This course teaches basics in systems theory for electrical engineering and information technology. This basic course is restricted to continuous and deterministic signals and systems. Topic overview: Basic classes of signals and systems Introduction and notation Signals Systems Signals Elementary signals Reaction of linear systems on elementary signals Signal decomposition into elementary signals Spectral representations of deterministic signals Fourier series, Discrete Fourier Transform (DFT) Fourier transform Laplace and z transform Linear systems Reaction on elementary signals Reaction on arbitrary signals Quantities for describing linear systems and their relations Stability of linear systems Rational transfer-functions Modulation Basics Sampling theorem
	References:		H.W. Schüßler: Netzwerke, Signale und Systeme II: Theorie kontinuierlicher und diskreter Signale und Systeme, Springer, 1991 H.D. Lüke: Signalübertragung, Springer, 1995

News

04.04.2021 - We will start the lecture during the first exercise: 19.04.2021 at 14:30 h. Please use the zoom link of the lecture (provided via OLAT) for joining.

Lecture Slides

	Link		Content
			Slides of the lecture "Introduction" (details of the lecture, notation, signals, systems)
			Slides of the lecture "Signals" (basic signals, reaction on basic signals, signal decomposition)
			Slides of the lecture "Spectral Representations - Part 1" (Fourier series, Discrete Fourier Transform)
			Slides of the lecture "Spectral Representations - Part 2" (Fourier Transform)
			Slides of the lecture "Spectral Representations - Part 3" (Laplace and z-transform)
			Slides of the lecture "Linear Systems" (Basics and relations between different system descriptions)
			Slides of the lecture "Modulation" (Basics and linear modulation schemes)

Lecture Videos

	Video		Content		Please watch until
			Introduction - part 1 of 3		22.04.2021 - 10:00 h
			Introduction - part 2 of 3		22.04.2021 - 10:00 h
			Introduction - part 3 of 3		22.04.2021 - 10:00 h
			Signals - part 1 of 3		29.04.2021 - 10:00 h
			Signals - part 2 of 3		29.04.2021 - 10:00 h
			Signals - part 3 of 3		06.05.2021 - 10:00 h
			Spectra, Fouier series and DFT - part 1 of 3		06.05.2021 - 10:00 h
			Spectra, Fouier series and DFT - part 2 of 3		06.05.2021 - 10:00 h
			Spectra, Fouier series and DFT - part 3 of 3		20.05.2021 - 10:00 h
			Spectra, Fouier transformations - part 1 of 3		20.05.2021 - 10:00 h
			Spectra, Fouier transformations - part 2 of 3		20.05.2021 - 10:00 h
			Spectra, Fouier transformations - part 3 of 3		27.05.2021 - 10:00 h
			Spectra, z and Laplace transform - part 1 of 3		27.05.2021 - 10:00 h
			Spectra, z and Laplace transform - part 2 of 3		27.05.2021 - 10:00 h
			Spectra, z and Laplace transform - part 3 of 3		03.06.2021 - 10:00 h
			Linear systems - part 1 of 4		10.06.2021 - 10:00 h
			Linear systems - part 2 of 4		10.06.2021 - 10:00 h
			Linear systems - part 3 of 4		17.06.2021 - 10:00 h
			Linear systems - part 4 of 4		24.06.2021 - 10:00 h
			Modulation - part 1 of 1		01.07.2021 - 10:00 h

Exercises

	Link		Content		Please try until
			Please prepare exercises 1 and 2.		26.04.2021 - 14:30 h
			Please prepare exercises 5, 6 and 7.		03.05.2021 - 14:30 h
			Please prepare exercises 9 and 11.		10.05.2021 - 14:30 h
			Please prepare exercises 12, 14 and 15		31.05.2021 - 14:30 h
			Please prepare exercises 16 and 18		07.06.2021 - 14:30 h
			Please prepare exercises 19 and 21		14.06.2021 - 14:30 h
			Please prepare exercises 23 and 25		21.06.2021 - 14:30 h
			Please prepare exercises 27 and 28		28.06.2021 - 14:30 h
			Please prepare exercises 30 and 31		05.07.2021 - 14:30 h

Solutions for the Exercises

	Link		Content
			Solutions to all exercises.

Exercise Videos

	Video		Content		Please watch until
			Exercise 1		26.04.2021 - 14:30 h
			Exercise 2		26.04.2021 - 14:30 h
			Exercise 3		Optional exercise
			Exercise 4		Optional exercise
			Exercise 5		03.05.2021 - 14:30 h
			Exercise 6		03.05.2021 - 14:30 h
			Exercise 7		03.05.2021 - 14:30 h
			Exercise 8		Optional exercise
			Exercise 9		10.05.2021 - 14:30 h
			Exercise 10		Optional exercise
			Exercise 11		10.05.2021 - 14:30 h
			Exercise 12		31.05.2021 - 14:30 h
			Exercise 13		Optional exercise
			Exercise 14		31.05.2021 - 14:30 h
			Exercise 15		31.05.2021 - 14:30 h
			Exercise 16		07.06.2021 - 14:30 h
			Exercise 17		Optional exercise
			Exercise 18		07.06.2021 - 14:30 h
			Exercise 19		14.06.2021 - 14:30 h
			Exercise 20		Optional exercise
			Exercise 21		14.06.2021 - 14:30 h
			Exercise 22		Optional exercise
			Exercise 23		21.06.2021 - 14:30 h
			Exercise 24		Optional exercise
			Exercise 25		21.06.2021 - 14:30 h
			Exercise 26		Optional exercise
			Exercise 27		28.06.2021 - 14:30 h
			Exercise 28		28.06.2021 - 14:30 h
			Exercise 29		Optional exercise
			Exercise 30		05.07.2021 - 14:30 h
			Exercise 31		05.07.2021 - 14:30 h
			Exam preparation (exam of winter term 2017/2018)
			Exam preparation (exam of winter term 2020/2021)

Matlab Theory Examples

How to use Matlab as a student:

Campus-wide license (recommended)
Windows Remote Server

	Link		Content		Date
			Matlab intro		17.05.2021
			System properties demo		26.04.2021
			Periodicity demo		03.05.2021
			Fourier series demo		10.05.2021
			DFT demo		10.05.2021
			Fourier transform demo (Try at home)		17.05.2021
			Fourier transform demo		07.06.2021
			Convolution demo		14.06.2021
			Laplace tranform demo		21.06.2021
			z-Domain system demo		28.06.2021

Evaluation

	Link		Content		Link		Content
			Current evaluation				Completed evaluations

Formulary

A formulary can be found below:

	Link		Content
			Formulary

Previous Exams

	Link		Content		Link		Content
			Exam of the winter term 2020/2021				Corresponding solution
			Exam of the summer term 2020				Corresponding solution
			Exam of the winter term 2019/2020				Corresponding solution
			Exam of the summer term 2019				Corresponding solution
			Exam of the winter term 2018/2019				Corresponding solution

Our university awards excellent achievements of female students in mathematics, IT, natural sciences and technology (known as the MINT subjects). This year Patricia Fuchs was awarded for her Bachelor thesis on the development and implementation of a magnetic heart axis estimation. We congratulate Patricia Fuchs to the EmpowerMINT award.

The thesis was supported with technical and medical expertise. In order to be able to compare the magnetically achieved results with conventional examinations (based on ECG), test persons were examined by Dr. Daniel Körbächer in his practice in Mönkeberg. The same persons were then magnetically measured at the Faculty of Engineering. Through this new method, the heart position of patients can be estmated more accurately and also in 3D (so far, this analysis is carried out only in the body level, i.e. in 2D). Ms. Fuchs was also supported by Prof. Frey, Head of Cardiology at the Heidelberg Hospital (and also a member of the SFB 1261). Erik Engelhardt and Gerhard Schmidt supervised the work on behalf of the Faculty of Engineering.

The picture shows Patrica Fuchs (center) and all supervisors (Daniel Körbächer, Erik Engelhardt, Gerhard Schmidt, Norbert Frey, from left).

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