Course detail
Advanced methods of signal processing
FEKT-NMZSAcad. year: 2011/2012
Linear, particularly multi-rate filters. Non-linear filtering - polynomial and ranking filters, homomorphic filtering anddeconvolution, non-linear matched filters. Identification of stochastic signals. Formalised optimum signal restoration in unified view: Wiener filter in generalised discrete formulation, Kalman filtering and signal restoration, source modelling and further approaches. Adaptive filtering and identification, algorithms of adaptation, classification of typical adaptive filtering applications. Signal processing by neural networks. Typical concrete applications of the above methods.
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Number of ECTS credits
Mode of study
Guarantor
Offered to foreign students
Learning outcomes of the course unit
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Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Course curriculum
2. Continuous and discrete image representation, 2D transforms, stochastic image.
3. Enhancement and edition of images - contrast transforms, sharpening, noise and interference suppression, geometric operations.
4. Introduction to restoration of distorted images.
5. Methods of image reconstruction from parallel and fan tomographic projections.
6.Non-linear analysis and filtering of signals and images, neuronal classifiers.
7.Edge, border and area detection, image segmentation. Analysis and visualisation of 2D and 3D image data.
8.Technical, medical and ecological applications.
Work placements
Aims
Specification of controlled education, way of implementation and compensation for absences
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Basic literature
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Classification of course in study plans
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
Multirate systems, banks of decimation and interpolation filters
Non-linear filtering, polynomial filters, generalised and adaptive median filter, homomorphic filtering, non-linear matched filters
Classical and modern methods of statistical characteristics identification of stochastic signals
Unifying approach to methods of formalised signal restoration. Discrete Wiener filter as a golden standard
Kalman filtering, stationary and non-stationary, aaplication in signal restoration and in modelling of signal sources
Restoration via frequency domain. Constrained deconvolution, deconvolution via optimisation of impulse response
Concept of adaptive filtering, filter with recursive optimum adaptation, filter with stochastic gradient adaptation
Classification of adaptive filtering applications: system identification and modelling, channel equalisation, adaptive linear prediction, adaptive noise adn interference cancelling
Introduction to architecture and properties of neural networks: feed-forward networks, learning, knowledge generalisation; feed-back networks; self-organising maps.
Neural-network based signal processing: learned and adaptive neural filter, formalised restoration by feed-back networks
Typical applications of the above methods in communication, speech and acoustic signal processing
Typical applications of the above methods in processing of measurement and diagnostic signals, system identification and in biomedical applications
Exercise in computer lab
Teacher / Lecturer
Syllabus
Design and verification of an FIR or IIR filter
Application of adaptive median- or homomorphic filtering
Identification of statistical properties of given stochastic signals
Design and application of a discrete Wiener filter
Kalman filtering, aaplication in modelling of signal sources
Restoration by a modified inverse filter via frequency domain
Experiment with an adaptive filter with stochastic gradient adaptation
Adaptive cancelling of given interference
Experimenting with a feed-forward network, learning and knowledge generalisation
Signal processing by a learned neural filter
Applications of given methods in acoustic signal processing
Applications of the above methods in processing of given measurement and diagnostic signals