Previously "Systemtheory"

Contents

From [MV-MTS-86605-K-7] Signals and Systems:

• Continuous time, linear time-invariant systems (LTI, causal systems, convolution)
• Continuous time Fourier series and Fourier transformation (derivation, properties, correlations)
• Discrete-time linear shift-invariant systems (LSI, causal system, convolution sum)
• Discrete-time Fourier series and Fourier transformation (derivation, properties, correlations, interpolation, decimation)
• Discrete Fourier transformation (fast Fourier transformation, zero padding, window function)
• Laplace and Z transformation
• Scanning of continuous time signals (correlations CTFT and DTFT, scan theorem, reconstruction of discrete-time signals, discrete-time processing of continuous time signal)
• Discrete-time filters (FIR and IIR filter, CIC filter)

Competencies / intended learning achievements

From [MV-MTS-86605-K-7] Signals and Systems:

1. Lecture

Students are able to

• Describe linear, time-invariant systems
• Derive continuous-time Fourier series (CTFS) and transformation (CTFT) and describe their properties
• Describe discrete-time shift-invariant systems
• Derive discrete-time Fourier series (DTFS) and transformation (DTFT) and describe their properties
• Explain the effect of interpolation and decimation of a series of numbers on the frequency spectrum
• Motivate and derive the discrete Fourier transformation (DTF) and describe the correlations to DTFT and DTFS

2. Practice

Students are able to

• Calculate convolution integrals
• Calculate the Fourier series and Fourier transformation of periodic and aperiodic continuous time signals
• Calculate convolution sums
• Calculate the Fourier series and Fourier transformation of periodic and aperiodic series of numbers
• Expand and decimate series of numbers

Literature

From [MV-MTS-86605-K-7] Signals and Systems:

• A. V. Oppenheim und A. S. Wilsky, Signale und Systeme, VCH Verlag 1992

Requirements for attendance of the module (informal)

Recommended:

Modules:

• [MAT-00-01-M-1] Higher Mathematics I (M, 8.0 LP)
• [MAT-00-02-M-1] Higher Mathematics II (M, 8.0 LP)
• [MV-MEMT-8-M-6] Measurement and control Theory (M, 9.0 LP)

Requirements for attendance of the module (formal)

None

Information

• Module handbook
• KIS via search