Modulhandbuch MaCSN2012_Digital Signal Processing

Verantwortlich: Prof. Dr.-Ing. Harald Elders-Boll

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Modul

Organisation

Bezeichnung Lang MaCSN2012_Digital Signal Processing MID MaCSN2012_DSP MPID

Zuordnung Studiengang MaCSN2012 Studienrichtung G Wissensgebiete G_VMINT

Einordnung ins Curriculum Fachsemester 1-2 Pflicht G Wahl

Version erstellt 2012-01-05 VID 1 gültig ab WS 2012/13 gültig bis

Zeugnistext

de

Grundlagen zeitdiskreter Signale und Systeme, Fourier-Analyse, digitale Signalverarbeitung und Anwendungen

en

Fundamentals of discrete-time signals and systems, Fourier analysis and modern digital processing and its applications

Unterrichtssprache

Deutsch oder Englisch

Modulprüfung

Form der Modulprüfung
sMP	80% (mündliche Prüfung)

Beiträge ECTS-CP aus Wissensgebieten
G_VMINT	5
Summe	5

Aufwand [h]: 150

anerkennbare LV

• F07 DSP

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Prüfungselemente

Vorlesung / Übung

Form Kompetenznachweis
bK	2-3 eTests je 20min (je 1x wiederholbar)
bÜA	Präsenzübung und Selbstlernaufgaben

Beitrag zum Modulergebnis
bK	20%
bÜA	unbenotet

Spezifische Lernziele

Kenntnisse

• Signals, Systems and Digital Signal Processing (PFK.5, PFK.6, PFK.8)
• Discrete-Time Linear Time-Invariant Systems
  • Difference Equations (PFK.5, PFK.6)
  • Discrete-Time Convolution (PFK.5, PFK.6)
  • Unit-Pulse and Impulse Response (PFK.5, PFK.6)
  • Basic Systems Properties: Causality, Stability, Memory (PFK.5, PFK.6)
• Ideal Sampling and Reconstruction
  • Ideal Sampling and the Sampling Theorem (PFK.6, PFK.8)
  • Aliasing (PFK.6, PFK.8)
• Fourier-Transform of Discrete-Time Signals (PFK.6, PFK.7)
  • Frequency response of Discrete-Time LTI Systems
  • The Fourier-Transform of Discrete-Time Signals
• The z-Transform (PFK.6, PFK.7)
  • The Two-sided z-Transform
  • Properties of the z-Transform
  • The Inverse z-Transform
  • Analysis of LTI Systems using the z-Transform
• Discrete Fourier-Transform (PFK.6, PFK.7)
  • The DFT and the Inverse DFT
  • The Fast Fourier Transform
• Design of Digital Filters (PFK.6, PFK.8)
  • Design of FIR Filters
  • Design of IIR Filters
• Random Signals (PFK.5, PFK.6, PFK.7)
  • Ensemble Averages
  • Correlation Functions
  • Stationary and Ergodic Processes
  • Power Spectral Density
  • Transmission of Random Signals over LTI Systems
• Advanced Sampling Techniques (PFK.6, PFK.7)
  • Quantization and Encoding
  • Sampling of Random Signals
  • Sample Rate Conversion
  • Oversampling and Noise Shaping
• Optimum Linear Filters (PFK.6, PFK.8)
  • Linear Prediction
  • The Wiener Filter
  • Adaptive Filters
• Spectrum Estimation (PFK.6, PFK.7)
  • The Periodogram
  • Eigenanalysis Algorithms

Fertigkeiten

• Students understand the fundamentals of discrete-time signals and systems (PFK.6)
• Students can analyse the frequency content of a given signal using the appropriate Fourier-Transform and methods for spectrum estimation (PFK.6, PFK.7)
• Analysis of discrete-time LTI Systems (PFK.6, PFK.7)
  • Students can calculate the output signal via convolution
  • Students can determine the frequency response of a given system
  • Students can characterize a given system in the frequency domain and in the z-domain
• Implementation of discrete-time LTI systems (PFK.1, PFK.2, PFK.6, PFK.8)
  • Students can implement the convolution sum in software
  • Students can implement different structures for IIR systems in software
  • Sudents can use the FFT to implement an FIR system
• Analyze effects of practical sampling (PFK.6, PFK.7)
  • Quantization noise
  • Aliasing
  • Trade-off pros and cons of advanced implementations like noise shaping

Exemplarische inhaltliche Operationalisierung

The follwowing subjects can be presented quickly assuming students have had prior exposure to discrete-time systems: Signals, Systems and Digital Signal Processing Discrete-Time Linear Time-Invariant Systems Ideal Sampling and Reconstruction Fourier-Transform of Discrete-Time Signals The z-TransformThe follwoing subjects should be presented in depth: Discrete Fourier-Transform Design of Digital Filters Random Signals Advanced Sampling TechniquesThe course should be complemented with selected topics from the following advanced subjects: Optimum Linear Filters Spectrum Estimation Adaptive FiltersThe theory should be illustrated and put into practise by MATLAB  code of the presented methods and algorithms

Praktikum

Form Kompetenznachweis
bSZ	Praktikum (Lab Experiments)

Beitrag zum Modulergebnis
bSZ	Voraussetzung für Modulprüfung (prerequisite for final exam)

Spezifische Lernziele

Lerninhalte

• Random Signals (PFK.5, PFK.6, PFK.7)
  • Ensemble Averages
  • Correlation Functions
  • Stationary and Ergodic Processes
  • Power Spectral Density
  • Transmission of Random Signals over LTI Systems
• Sampling (PFK.6, PFK.7)
  • Sampling and coding for speech and/or audio signals

Fertigkeiten

• Analysis of random signals (PFK.6, PFK.7, PFK.7, PFK.9)
  • Determine whether a given random signal is stationary or not
  • Analyse whether a random signal contains discrete harmonic components
    • by using the autocorrelation function
    • by using the power spectral density
• Combatting noise
  • Remove or suppress high-frequency noise from low-pass signals (PFK.1, PFK.6, PFK.8)
• Abilty to trade-off and implement different methods for digital coding of speech and audio signals (PFK.1, PFK.6, PFK.8)
• Determine the quatization noise and the SNR for different sampling schemes (PFK.2, PFK.5, PFK.6, PFK.7)

Exemplarische inhaltliche Operationalisierung