Course detail
Data Acquisition, Analysis and Processing
FEKT-MZPDAcad. year: 2017/2018
The course is dedicated to the analysis of digital signals in time and frequency domain. Emphasis is placed on the orthogonal transformation in particular DFT, fast algorithms FFT, and wavelet transformations. Part of the course is devoted to mathematical perations with time series and digital filtering.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Learning outcomes of the course unit
- describe the types of physical signals,
- interpret the basic principles of data analysis methods,
- explain the importance of orthogonal transformations and give examples,
- explain the principles of FFT algorithms and methods for time - frequency analysis,
- describe the principles of wavelet transformations and discuss the results,
- explain the results of spectral and cepstral analysis,
- explain the principles of digital signal filtering,
- design a filter with the required properities.
Prerequisites
Co-requisites
Planned learning activities and teaching methods
Techning methods include lectures and computer laboratorie.
Students have to write a single project/assignment during the course.
Assesment methods and criteria linked to learning outcomes
up to 70 points for the final written examination.
Course curriculum
2. Time series and its model
3. Linear time-invariant systems, discrete convolultion
4. Discrete correlation, evaluation of dependency phenomena
5. Orthogonal function, discrete Fourier transform
6. Properties of DFT
7. Principles of fast DFT algorithms (FFT)
8. Introduction to digital filters (FIR and IIR)
9. Digital filter design
10. Numerical derivation and integration, data interpolation
11. Spectral analysis, Cepstrum
12. Other orthogonal transformations (Hilbert, Wavelets)
13. Time-frequency analysis (STFT and other)
Work placements
Aims
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
Recommended reading
Classification of course in study plans
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
Display time series data. Basic work on time series. Discrette convolutin.
Discrette corelation. Discrette deconvolution.
Discrette ortogonal transform. DFT, characteristics.
Principle of FFT, other discrette ortogonal transform.
Preprocessing time series data. Derivation and integration.
Trend removal.Numeric parameters and histograms.
Spectral, Correlation and Cepstral analysis.
Interpolation problem.
Compression.
Filtration.
Designing digital filter methods.
Indentification of linear systems.
Laboratory exercise
Teacher / Lecturer
Syllabus
Introduction to LabVIEW programming II.
Practical tasks
Correlation and convolution of signals
DFT, inverse DFT
FFT properties + windows
Regression, derivation, integration, interpolation
Filter design
Simple data display system.
Generation time series. Sorting, Data operation speed.
Individual work.
Discrette convolution and corelation.
DFT comparation.
Discrette Haar transform. Time window.
Individual work
Amplitude, phase and power spectrum.
Regress analze.
Interpolation in time series data.
Histograms. Digital filters.
Finish.