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[Mathematical Tools

Mathematical Tools — from Fourier series to analysis of non-stationary signals

Instructor: Prof. Miroslav Vlček <vlcek@fd.cvut.cz>

Lectures: Wednesdays, 8:00–9:30 am; F215 Na Florenci Bldg.

Computer sessions: Wednesdays, 9:45–11:15 am; F215 Na Florenci Bldg.

Course description

Fourier Transform, short time Fourier Transform, and Wavelets have established themselves as an important tool in modern signal processing as well as in applied mathematics. The objective of this course is to establish the mathematical foundations necessary to understand and use basis functions, wavelets, and related constructions useful for signal processing. The course includes experimental and computer projects involving individual effort.

Prerequisites: Linear Algebra, MATLAB


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.


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

Školní rok: 2016/2017. Poslední změna obsahu: 03.10.2016 20:10:34. Vzniklo díky podpoře grantu FRVŠ 1344/2007 a grantu FRVŠ 2050/2011.