SubjectsSubjects(version: 861)
Course, academic year 2019/2020
  
Advanced Methods of Signal Processing for PhD Students - P445013
Title: Pokročilé metody zpracování signálů pro doktorandy
Guaranteed by: Department of Computing and Control Engineering (445)
Actual: from 2019
Semester: summer
Points: summer s.:0
E-Credits: summer s.:0
Examination process: summer s.:
Hours per week, examination: summer s.:3/0 other [hours/week]
Capacity: unlimited / unknown (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
Level:  
For type: doctoral
Guarantor: Kukal Jaromír doc. Ing. Ph.D.
Mareš Jan doc. Ing. Ph.D.
Z//Is interchangeable with: AP445013
Examination dates   Schedule   
Annotation -
Last update: Kukal Jaromír doc. Ing. Ph.D. (13.06.2018)
Specal methods of signal processing are characterized by application of functional transforms, robust statistical methods and variational approach. The techniques mentioned above enable to design of efficient procedures for signal smoothing, signal analzsis and pattern classification. The module is mainly focused on the mathematical principles and application in analytical chemistry.
Aim of the course -
Last update: Kukal Jaromír doc. Ing. Ph.D. (13.06.2018)

Students will be able to:

Recognize what kind of functional transform should be useful for signal processing in given task.

Decide what technique of signal enhancement would improve its quality related to given application and signal processing aims.

Apply special statistical methods in combination with variational calculus to design novel methods of signal processing.

Literature -
Last update: Soušková Hana Ing. Ph.D. (18.06.2018)

R: Gonzales, R.C., Woods, R.E., Digital Image processing (4th edition), Pearson, New York, 2017.

R: Mitra, S.K., Sicuranza, G.L., Nonlinear Image Processing, Academic Press, New York, 2001.

R: King, W., Hilbert Transforms, Vol.1, Cambridge University Press, Cambridge, 2009.

A: Aubert, G., Kornprobst, P., Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (2nd edition), Springer, New York, 2006.

Learning resources -
Last update: Kukal Jaromír doc. Ing. Ph.D. (03.09.2018)

internal materials

Teaching methods -
Last update: Kukal Jaromír doc. Ing. Ph.D. (13.06.2018)

Lectures, preparing of project about signal analysis related to subject of doctoral study.

Syllabus -
Last update: Kukal Jaromír doc. Ing. Ph.D. (13.06.2018)

The lectures and individual projects will be focused on:

1.Digital signal and its properties in frequency domain.

2.Statistical properties of sampled signal.

3.Functional transforms for signal processing (Laplace,Fourier,Hilbert,Z,DFT,FFT,DHT)

4.Signal enhancement techniques (filtering,smoothing,sharpening, deconvolution,reconstruction)

5.Signal analysis (spectrum, coherence, chaos descriptors, fractal analysis)

6.Local signal processing via robust statistical methods (M-estimates,L-estimates, special distributions)

7.Regularized methods of signal processing.

8.Variational approach in signal processing.

9.Signal as subject of pattern classification.

10.Generalization to 2D and 3D images.

Entry requirements -
Last update: Kukal Jaromír doc. Ing. Ph.D. (13.06.2018)

None

Registration requirements -
Last update: Kukal Jaromír doc. Ing. Ph.D. (13.06.2018)

None

Course completion requirements -
Last update: Kukal Jaromír doc. Ing. Ph.D. (13.06.2018)

Preparing and defense of individual project followed by oral examination.

Coursework assessment
Form Significance
Regular attendance 40
Oral examination 60

 
VŠCHT Praha