Course Content
content serial Description
1 Introduction to Systems engineering Systems engineering principles.
2 Reliability engineering, failure modes and effects analysis
3 The systems engineering process, Using models, Tools for graphic representations
4 Performance engineering
5 Systems analysis, probability analysis, design methods and dynamic systems.
6 System stability, estimation, optimization, modeling, identification, and simulation
7 Signal Processing and Complex Systems Developments of nonlinear signal and information processing methods from a generic systems engineering perspective / 7th week evaluation
8 Digital and analogue signals z-transform Hilbert transform
9 Fourier Analysis, Limitations and relations to other Fourier techniques. The concept of windowing and its implications in the different application contexts of spectrum estimation and discrete-time filter design. Rate changing processes of decimation and interpolation in discrete time systems
10 Introduction to Wavelet transform. The continuous and discrete wavelet transforms and their roles in signal processing applications. Multi-rate signal processing systems. The concepts behind joint time-frequency representations. Simple multi-resolution analysis of signals using the Haar basis
11 Discrete-Time Bases and Filter Banks. Analysis and design of filter banks, Orthogonal and biorthogonal filter banks, Tree-structured filter banks, Discrete wavelet transform.
12 Wavelet families. Wavelet series and its properties.rnRegularity and approximation properties / 12th week evaluation.rn
13 Multidimensional filter banks and wavelets. Multi scale geometric representation and processing. Compressed sensing.
14 2D and 3D signal analysis, Speech, audio, image, and video compression.
15 Signal de-noising, Feature extraction, and Inverse problems
16 Presentation of projects and Final Exam.