Lutz Leutelt |
||
|
Institute for Circuits & Systems Theory
Faculty of Engineering of the Christian-Albrechts-University , Kiel Kaiserstraße 2 Phone: +49-431-880-6132 eMail: LL@tf.uni-kiel.de |
Performance Optimization of MPEG-4 Code Excited Linear Prediction (CELP) Narrow/Wideband-Encoder for Mobile Systems
- Publications:
- project reports remain unpublished
Research:
- Advanced Signals and System (Exercises, in English)
1. Discrete Signals
definitions, deterministic and stochastic signals.
1.1. Stochastic Signals
probability; expectation, moments.
1.2. Examples
deterministic signals, stochastic signals.
1.3. Simple Operations on Stochastic Signals
summation, mapping.
2. Spectra
idea of superposition representations; superposition of impulse and step sequences; spectra of deterministic and stochastic signals.
2.1. FOURIER, z-, and Discrete FOURIER Transformation definitions, existence, periodicity, background; characteristics, rules, theorems; examples; one-sided z-transformation, inverse z-transformation and convergence, rational z-transform functions.
3. Spectra of Stochastic Signals
definitions, relation to continuous random-signal spectra, examples; processes and signals; stationarity and ergodicity, short-time PDS, periodogram.
4. Discrete Systems
system descriptions and classification
4.1. Discrete Linear Systems and their Response to Deterministic Signals
reactions on elementary signals; raction on general deterministic signals (impulse and step response, transfer function and frequency response).
4.2. Discrete Linear Systems and their Response to Stochastic Signals
5. Idealised Discrete LTI Systems
background; ideal transmission system; attenuation distortions; phase distortions.
6. HILBERT Transformation
One-Sided Spectra, Analytic Signal, instantaneous amplitude, phase, and frequency; one-sided signals, causality.
7. State-Space Description
definitions, basic structure, signal-flow graphs; transfer, impulse-response, and transition matrices; stability; minimum-phase, allpass configurations.
7.1. From I/O to State-Space Description
difference equation; direct and canonical realizations.
7.2. From SFG to State-Space Description
1-st, 2-nd, 4-th canonical forms.
8. Generalisations for Signals, Systems, and Spectral Transformations
Generalised Discrete Fourier and Cosine Transformations (GDFT, GDCT, DCT); generalised basis sequences; short-time spectra; 2-D signals and their spectra; 2-D systems.
- Digital Signal Processing I (Exercises, in German)
- Signal digitisation (analogue-to-digital and digital-to-analogue conversion, quantisation characteristics, quantisation noise), sample and hold; sampling of functions and sequences with/without phase shift; down- and up-sampling (decimation, interpolation); DFT and FFT (convolution via DFT, fast DFT evaluation, radix-2/DIT FFT and alternatives, transformation of real sequences, "pruning" and "zoom" FFT), spectral analysis of infinite sequences (windowing, periodograms of random signals); digital filters (difference and state equations, equivalent realisations/transformed structures, diagonal form, transition matrix, observability, controllability), realisation effects (input, arithmetic, and coefficient errors), filter types, non-recursive filters (state-space description, linear-phase filters
| Introduction
for students of grammar schools (age 16-18yrs) to analog and digital
processing of speech and music signals |
| Each part
consists of 12 experiments in Electrical Engineering, Computer Engineering
and Materials Science. |
| This course teaches basics in systems theory for electrical engineering and information technologie. This basic course is restricted to continuous and deterministic signals and systems. Basic classes of signals and systems; elementary signals: step, impulse, harmonic exponential functions, linear timeinvariant (LTI) systems, linear superposition, Fourier series, Fourier transform, Laplace transform and their properties; convolution; response of LTI systems to elementary and arbitrary signals, rational transfer-functions, partial fraction expansion, system differential equation; pole-zero diagram, stability, low-pass, band-pass, minimum-phase systems, transient response; modulation, linear modulation and demodulation of amplitude (AM), nonlinear angular modulation (FM, PM), frequency-multiplex, pulse-amplitude-modulation, sampling, theorem, aliasing, pulse-code-modulation, quantization, time-multiplex; fundamentals of information theory. |