The educational aim of this course is to provide students with the fundamental knowledge on digital signal processing and its application in telecommunications. The objective is that students become familiar with digital as well as analogue signals and systems for their processing It is necessary to learn about digital signals in frequency domains, digital filters and methods for their design.

During the lectures the students are introduced to main algorithms for signal processing in discrete time and the most important transformations of discrete signals. The central part of the course is given to the rapid Fourier transformation. Digital filters are introduced via concrete examples, and then the students learn the basic methods for their design using appropriate software tools. Based on the acquired knowledge, the students will be able to analyse the set problem, select the appropriate digital filter class and optimal design method, design and implement a digital filter. In practical classes the students will gain experience with the Matlab DSP Toolbox. The students will know to estimate and calculate the basic parameters of a digital filter. They will be able to identify and qualify potential problems in digital filter implementation and to find solution. Throughout the course there will be examples of applications in telecommunications.

Practical aspects of selection theorem. Transformations of discrete signals and links between them (ZT, FTD, DFT). Fast FT and fast convolution. Examples of digital FIR and IIR filters and their characteristics. Main methods for digital filter design. Applications in telecommunications.

Througout the course, lecture classes (3 hours a week) are supported by corresponding auditory and computer practice classes (hour each). The lectures given by subject professor use PowerPoint presentations available to students in pdf format During the auditory practice tutorials, attention is given to solving less complicated tasks on spectral analysis of digital signals and designing digital filters. The whole material is suppoterd by practice classes at the Computer Center at the Faculty of Technical Sciences where students obtain practical experience in the work with software tools for digital signal processing. Preparation for practice classes and homework assignments are carried out through Web portal og the Chair using specially created on-line tasks which do not require special previous knowledge. The obtained theoretical knowledge is tested during the semester in the form of colloquium and practical knowledge is verified through design and defence of short project and homework assignments. Those form the pre-exam requirements while the final examination, checks the entire knowledge from the course.