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Signal analysis

General data

Course ID: 1100-2BF05
Erasmus code / ISCED: 13.201 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (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: APBM - Medical Physics; 2nd year courses
APBM - Neuroinformatics; 2nd year courses
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

Matching Pursuit and Unification in EEG Analysis https://us.artechhouse.com/Matching-Pursuit-and-Unification-in-EEG-Analysis-P539.aspx

Svarog software http://svarog.pl

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.

Practical placement:

none

Classes in period "Winter semester 2023/24" (past)

Time span: 2023-10-01 - 2024-01-28
Selected timetable range:
Navigate 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)
Examination: Course - Examination
Lecture - Examination

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

Time span: 2024-10-01 - 2025-01-26
Selected timetable range:
Navigate 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)
Examination: Course - Examination
Lecture - Examination
Course descriptions are protected by copyright.
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00-927 Warszawa
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