Course detail

The aim of the course is to provide comprehensive explanation of the basic theory of digital signal processing, with emphasis on applications in microprocessor technology. Extra emphasis is laid on methods of spectral analysis and digital linear and non-linear filtering. The course is concluded with a discussion of quantizing effects and of the realization of algorithms in microprocessors and digital signal processors.

The student will have a good grasp of algorithms for digital signal processing, s/he will be able to apply them and model them by means of the MATLAB program. S/he will be knowledgeable regarding algorithm realization on microprocessors and digital signal processors, inclusive of all the problems involved in the realization.

The subject knowledge on the secondary school level is required.

One-dimensional and two-dimensional discrete signals and systems. Z-transform. Discrete Fourier transform, FFT. State-space canonic structures, serial and parallel forms. Design of type FIR and IIR digital filters. Homomorphous processing of filters. Complex and real cepstrums. Application of cepstrums to speech and image processing. Signal quantization in discrete systems. Realization of digital filters and FFT in digital signal procesors.

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Requirements for completion of a course are specified by a regulation issued by the lecturer responsible for the course and updated for every.

1. Discrete signals - basic discrete signals, classification of one dimensional discrete signals.
2. Discrete signals - multi dimensional discrete signals, correlation of discrete signals.
3. Discrete systems - initial conditions, discrete systems as block diagrams.
4. Discrete systems - classification of discrete systems, linear time invariant system, combination of discrete time invariant systems, causallity and stability of time invariant systems, FIR and IIR systems.
5. State diagram of linear time invariant system.
6. Z- transform and using.
7. Frequency analysis of discrete signals - time discrete Fourier line, spectral power, FT of discrete aperiodic signal, feature of FT, cepstrum.
8. Frequency characteristics of linear time invariant system, frequency filters.
9. Discrete FT definition, features, vector form.
10. Inverse systems and deconvolution - reciprocal disrete system.

The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.

MITRA,S.K., Digital Signal Processing-A Computer-Based Approach. The McGraw-Hill Companies, Inc. New York 1998
OPPENHEIM, A.L., SCHAFER, R.W., Digital Signal Processing, Prentice-Hall, Inc. New Jersey, 1995.
SMÉKAL,Z., VÍCH,R., Zpracování signálů pomocí signálových procesorů. Radix spol.s.r.o., Praha 1998.
MIŠUREC,J., SMÉKAL,Z. Číslicové zpracování signálů. Skriptum FEKT VUT v Brně, 2012.