Course detail

Data Acquisition, Analysis and Processing

FEKT-MPC-ZPDAcad. year: 2024/2025

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

Czech

Number of ECTS credits

6

Mode of study

Not applicable.

Entry knowledge

 

Rules for evaluation and completion of the course

up to 30 points for the evaluation computer.
up to 70 points for the final written examination.
The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.

Aims

The aim of the course is to provide students with an overview and information in digital signal processing. The emphasis is placed to frequency and spectral analysis and digital filtering of signals.
Student is able to:
- 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.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

LYONS, Richard G. Understanding digital signal processing. 3rd ed. Upper Saddle River, NJ: Prentice Hall, c2011. ISBN 9780137027415. (CS)
UHLÍŘ, Jan, Pavel SOVKA a Roman ČMEJLA. Úvod do číslicového zpracování signálů. Praha: Vydavatelství ČVUT, 2003. ISBN 80-01-02799-6. (CS)

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme MPC-KAM Master's 1 year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

Syllabus

1. Signal and its properties
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)

Exercise in computer lab

39 hod., compulsory

Teacher / Lecturer

Syllabus

1. Organization + Review of LabVIEW I.
2. Basic operations with signals
3. Time series analysis
4. Work with HW
5. Convolution, DFT (graded task 1)
6. Spectral analysis
7. Design of filters I
8. Design of filters II (graded task 2)
9. Noise, correlation
10. Modulation
11. Demodulation (graded task 3)
12. STFT
13. Test