Signal Processing for Assistance Systems
FBE0113
Contents
Chapter 1:
Introduction
1.1 Signals
1.2 Tasks of signal processing
Chapter 2:
Repetition: Spectral description of deterministic signals/system theory
2.1 Spectral description
2.1.1 Continuous-time signals
2.1.1.1Periodic signals
2.1.1.2 General signals, Fourier transform
2.1.2 Discrete-time signals
2.1.3 Sampling
2.2 System theory
2.2.1 Linear time-invariant continuous systems
2.2.2 Linear time-invariant discrete systems
Chapter 3:
Correlation of deterministic signals
3.1 Energy signals
3.2 Power signals
3.3 Correlation and systems
3.4 Periodogram
Chapter 4:
Discrete Fourier transform
4.1 Periodic discrete-time signals
4.2 Sequences of finite length
4.3 Properties of the DFT
4.4 Zero-padding
4.5 Fast Fourier transform FFT
4.6 Windowing
4.7 Time-frequency representation
Chapter 5:
Design of digital filters
5.1 Recursive filters
5.1.1 Recursive filter structures
5.1.2 Design of selective recursive filters
5.1.2.1 Transformation of continuous into discrete systems
5.1.2.2 Continuous design methods
5.1.2.3 Standard designs in the normalised frequency domain
5.1.3 Quantisation errors
5.2 Non-recursive filters
5.2.1 Fundamentals of FIR filters
5.2.2 Systems with linear phase
5.2.3 Fourier approximation
5.2.4 Window techniques
5.2.5 Dolph Chebyshev
5.2.6 Remez design
Chapter 6:
Special digital filters
6.1 Matched filters
6.1.1 Cauchy-Schwarzsche inequality
6.1.2 Maximum system response
6.1.3 Signal detection
6.1.4 Influence of pulse shape on correlation reception
6.2 Kalman filters
6.2.1 State space description of discrete-time systems
6.2.2 Optimisation using the least squares method
6.2.3 Discrete-time Kalman filter
6.2.3.1 Recursive application of the generalised equalisation calculation
Dates
The course Signal Processing for Assistance Systems is offered every winter semester. Please refer to the lecture announcement for the start of the lecture and the lecture times.
