*Update from 2021-01-27:*

The list of semestral project topics can be downloaded from https://zolotarev.fd.cvut.cz/static/mni/2020/mai-2020-z-sp.pdf. Please, select a topic and update the shared table of selected topics that is accessible through a link you received by e-mail.

Due to the ongoing closure of the faculty for full-time teaching, lectures and computer sessions take place through MS Teams channels Team-Predmet-B201-11MAI-S25 (in Czech) and Team-Predmet-B201-11MAI-S26 (in English).

## Mathematical Tools for ITS

**Instructor:** Dr.-techn. Ing. Jan Přikryl <prikryl@fd.cvut.cz>

**Lectures:** Monday 09:45-11:15 K107c (group 26), Monday 13:15-14:45 K107c (group 25)

**Computer sessions:** Monday 11:30-13:00 K107c (group 26), Monday 15:00-16:30 K107c (group 25)

### Course description

In modern signal processing as well as in applied mathematics, the Fourier Transform and the Short Time Fourier Transform have established themselves as an important tool for time-series analysis. The objective of this course is to establish the mathematical foundations necessary to understand general constructions useful for signal processing, update and extend the knowledge about data processing and to provide an introduction to numerical methods for solving traffic flow equations. The course includes experimental and computer projects involving individual effort.

**Prerequisites:** Linear Algebra, Statistical Learning, MATLAB

### Texts

M. Vetterli, J. Kovacevic, and V. K. Goyal. “Fourier and Wavelet Signal Processing”. With permission of authors available from our webpage as PDF here.

S. Allen Broughton, and Kurt Bryan. ”Discrete Fourier Analysis and Wavelets”. John Wiley, 2009.

TBA

### Grading

The following table lists all possible scores that can be obtained:

Homeworks | 21 points |

- minimum homework points |
9 points |

Final project |
14 points |

- minimum from the project |
7 points |

Total |
30(+5) points |

Final grade is given by the total points obtained for homeworks and the final project. The grading scheme is as follows:

Total points | Grade | ECTS |
---|---|---|

27 to 30 | excellent | A |

24 to <27 | very good | B |

21 to <24 | good | C |

18 to <21 | satisfactory | D |

16 to <18 | sufficient | E |

less than 16 | failed |
F |