Study subjects

Digital filters

Laboratory: SPLab
Garant: Ing. Petr Sysel, Ph.D.
Area of study: Human-machine interaction, Non-orthogonal signal representation, Acoustic signal processing
Level and semester: Bachelor's studies, 5th semester


To deepen the basic knowledge of digital signal processing techniques acquired in the compulsory course “Signals and systems analysis” primarily on practical experience with implementation of digital filters, to reduce the effects of quantization on the characteristics of digital filters, and design methods using digital filters.

Learning outcomes and competences

The graduate gains experience with the simulation of digital filters in computing environments Matlab and Octave, experience with application of design methods of digital filters according to a particular frequency or time requirements, and experience with the practical implementation of digital filters in processor with fixed point arithmetic.


The subject covers the whole range of the analysis and design of one-dimensional digital filters, from entering differential equations of a linear discrete system with one input and one output, through methods of designing linear and non-linear digital filters up to the realization by digital hardware tools. Properties of one-dimensional digital filters (DF). Transfer function, impulse response, pole-zero plot. Stability and causality. Frequency properties. Realization structurs of DF. Analysis of DF properties, using signal flow graphs and matrices. Quantizing effects in DF. Implementation of DF on processors. Design methods for type FIR and type IIR digital filters. Adaptive DF. Multirate digital filters. Filter banks and polyphase filters. Wavelet transform and principle of multiple resolution. Homomorphous signal processing and non-linear digital filters.

University link:

« back to list