Chair of
Multimedia Communications and Signal Processing
Prof. Dr.-Ing. André Kaup

Signals and Systems I

Lecturer:Prof. Dr.-Ing. André Kaup
Tutor:Dr.-Ing. Jürgen Seiler
Type:Lecture
Lecture language:German
Time Lecture:Tue 12:15-13:45 HG*
Thu 12:15-13:45 H9*
Time Tutorial:Tue 18:15-19:45 H5*
Mon 10:15-11:45 H10*
Mon 12:15-13:45 H5*
Fri 8:15-9:45 H10*
Credit Points:5 ECTS
Hours (Lecture):2,5
Hours (Exercise):1,5
Prerequisites:Fundamentals of Electrical Engineering

All data marked with a * are directly imported from UnivIS


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Content

This lecture covers an introduction to the theory of continuous signals and continuous linear time-invariant systems. At the beginning, elementary signals, the delta impulse, the convolution, and the correlation of signals are discussed. Subsequent to this, the frequency domain representation of signals by means of Fourier and Laplace transform is introduced, including the theorems and correspondences of these transforms. Next, the time domain description of linear time-invariant systems by impulse response and convolution, differential equations, and state-space representation is presented. In addition to this, the description of systems in the frequency domain using eigen functions, the transfer function, the system function, and state-space representation is given. Furthermore, linear time invariant systems with initial conditions are considered. Following, after linear phase, minimum phase, idealized, and all-pass system have been introduced, causality, the Hilbert transform, stability and feed back systems are discussed. The lecture closes with an overview of sampling systems and the sampling theorem for lowpass and bandpass signals.

Note:
Starting with winter semester 2010/2011, the content and extent of module "Signals and Systems I" has changed compared to the previous semesters. Now, the lecture only covers the description of continuous signals and systems and possess 5 ECTS. The lecture is a compulsory module for the bachelor courses "Electrical Engineering, Electronics and Information Technology", "Information and Communication Technology", "Industrial Engineering" with specialization "Information and Communication Systems", and "Medical Engineering" with specialization "Electrical Engineering, Information Technology and Computer Science".

The lecture is designed complementary to the module "Signals and Systems II" which covers discrete signals and systems. For students who started their bachelor studies in the winter term, the lecture is scheduled for the third semester, prior to the module "Signals and Systems II". For students who started their bachelor studies in the summer term, the module "Signals and Systems I" is scheduled for the fourth semester and accordingly subsequent to the lecture "Signals and Systems II".

Prerequisites

For this lecture, a basic knowledge of electric circuits with resistance, capacitance and inductance is presupposed. Furthermore, knowledge of complex-valued pointers and transfer behavior of simple linear networks is required. This can be gained for example from the two modules "Fundamentals of Electrical Engineering I" and "Fundamentals of Electrical Engineering II" or by a combination of the modules "Introduction to Information and Communication Technologies" and "Electronics and Circuit Design". Students which did not attend these lectures (e.g. from study course Computational Engineering) can obtain the required prerequisites as well by private studies with the help of chapter 2 about physical fundamentals of electric circuits and chapter 3 about passive networks from the book "Elektronik und Schaltungstechnik" written by Oehme, Huemer, Pfaff and published by Hanser Verlag, München 2007.

Course materials

Course materials can be downloaded via StudOn.

Literature

The book to the lecture: B. Girod, R. Rabenstein, A. Stenger, Einführung in die Systemtheorie, B. G. Teubner Verlag, Stuttgart

Exam

The course finishes with an exam that has a length of 90 minutes. For support, a hand-written formulary of one DIN A4 page (two-sided) length and a non-programmable calculator may be used. A computer-generated formulary is not permitted. The tables for Laplace- and Fourier-transform will be provided with the exam.