University of Warsaw, Faculty of Physics - Central Authentication System
Strona główna

Signal analysis

General data

Course ID: 1100-2BF05
Erasmus code / ISCED: 13.201 The subject classification code consists of three to five digits, where the first three represent the classification of the discipline according to the Discipline code list applicable to the Socrates/Erasmus program, the fourth (usually 0) - possible further specification of discipline information, the fifth - the degree of subject determined based on the year of study for which the subject is intended. / (0533) Physics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title: Signal analysis
Name in Polish: Analiza sygnałów
Organizational unit: Faculty of Physics
Course groups: (in Polish) Fizyka, ścieżka fizyka medyczna; przedmioty dla II roku
(in Polish) Fizyka, ścieżka neuroinformatyka; przedmioty dla II roku
Course homepage: https://brain.fuw.edu.pl/edu/index.php/Analiza_sygnałów_-_wykład
ECTS credit allocation (and other scores): 4.00 Basic information on ECTS credits allocation principles:
  • the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS;
  • the student’s weekly hourly workload is 45 h;
  • 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes;
  • weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS;
  • work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load.

view allocation of credits
Language: Polish
Type of course:

obligatory courses

Prerequisites (description):

Required credits from the following classes, conducted at the Faculty of Physics:

1. Information and Communication Technologies (Technologie informacyjne i komunikacyjne), with 45 hours of practical exercises in Python programming

2. Statistical Inference (Wnioskowanie Statystyczne)

Mode:

Classroom

Short description:

Basics of the classical (spectral) and contemporary (wavelets, time-frequency) signal analysis, based upon examples from EEG and BCI.

Full description:

Basic principles of the classical (spectral) and contemporary (wavelets, time-frequency) analysis of signals:

- Linear time invariant systems (LTI)

- Fourier series and Fourier transform

- Stochastic and autoregressive (AR) time series, power spectrum estimation. Convolution theorem.

- Sampling digital signals - Nyquist theorem, aliasing.

- Uncertainty principle in signal analysis, spectrogram, Wigner transform, wavelets, adaptive approximations (matching pursuit algorithm)

- briefly: multivariate signal analysis (PCA, ICA, MVAR)

- EEG, ERD/ERS, BCI

Bibliography:

Skrypt "Analiza sygnałów" in Polish: https://brain.fuw.edu.pl/edu/index.php/Analiza_sygna%c5%82%c3%b3w_-_wyk%c5%82ad

Learning outcomes:

having completed the course, student:

- understands the links between basic operations in time and frequency

- can choose a proper method of signal analysis and properly interpret the results

Assessment methods and assessment criteria:

Written exam in the lecture hall: open questions and single choice test.

Positive marks from the lecture (as above) AND practical exercises are required to pass.

Internships:

none

Classes in period "Winter semester 2024/25" (past)

Time span: 2024-10-01 - 2025-01-26
Selected timetable range:
Go to timetable
Type of class:
Classes, 30 hours, 80 places more information
Lecture, 30 hours, 80 places more information
Coordinators: Piotr Durka
Group instructors: Piotr Biegański, Piotr Durka, Jarosław Żygierewicz
Students list: (inaccessible to you)
Credit: Course - Examination
Lecture - Examination

Classes in period "Winter semester 2025/26" (past)

Time span: 2025-10-01 - 2026-01-25
Selected timetable range:
Go to timetable
Type of class:
Classes, 30 hours, 80 places more information
Lecture, 30 hours, 80 places more information
Coordinators: Piotr Durka
Group instructors: Piotr Biegański, Piotr Durka, Jarosław Żygierewicz
Students list: (inaccessible to you)
Credit: Course - Examination
Lecture - Examination
Course descriptions are protected by copyright.
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