Digital signal processing (WS 2V/2Ü)

Note: The lecture and practice documents are on ILIAS
This lecture is in german

If you want to participate in this lecture, please register via C@mpus.

Content of the lecture

1 Introduction

  •     What is digital signal processing?
  •     Analog to digital converter
  •     Digital to analog converter
  •     Basics of signals and systems

2nd z transformation

  •     Two-sided z-transformation and convergence domain
  •     Properties of the z-transformation
  •     Rational z-transformation
  •     Transmission function of LTI systems
  •     Inverse z transformation
  •     Unilateral z transformation
  •     Comparison to the Fourier transformation

3. Digital filters

  •     Ideal filters
  •     Methods for filter design
  •     Low pass filter
  •     High Pass Filter
  •     Bandpass filter
  •     notch filter
  •     comb filter
  •     Digital oscillators
  •     Linear phase FIR filter
  •     All-pass filter
  •     Minimal phase filters

4. Discrete Fourier Transform (DFT) and Fast Fourier Transform (FFT)

  •     Sampling in the frequency domain
  •     Discrete Fourier Transformation
  •     DFT as a matrix-vector multiplication
  •     Properties of the DFT
  •     Linear and circular folding
  •     Fast Fourier Transformation
  •     Fast folding

5. Spectral analysis

  •     Window effect and frequency grid
  •     Spectral analysis of stationary deterministic signals
  •     Spectral analysis of stationary stochastic signals
  •   Spectral analysis of transient signals

6. Correlation

  •     Correlation and covariance
  •     Cross-correlation and cross-covariance function
  •     Autocorrelation and autocovariance function

7. Beamforming

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