Digital Signal processing

The course is not on the list Without time-table
Code Completion Credits Range Language
A2M99CZS Z,ZK 5 2P+2C Czech
The course cannot be taken simultaneously with:
Digital Signal Processing (BE5B31CZS)
Digital Signal processing (B2B31CZS)
Department of Circuit Theory

The subject gives overview about basic methods of digital signal processing and their applications (examples from speech and biological signal processing): disrete-time signals and systems, signal characteristics in time and frequency domain, Fourier transform, fast algorithms for DFT computation, introduction to digital filter design, digital filtering in time and frequency domain, decimation and interpolation and their usage in filter banks, basics of LPC analysis.


Bases of signal and system theory with necessary mathematical background are supposed as preliminary knowledge.

Syllabus of lectures:

1. Introduction to DSP. Sampling theorem.

2. Basic characteristics of digital signals.

3. Autocorrelation and crosscorrelation functions

4. Fourier transform of discrete signal.

5. Properties of DFT, fast algorithms for DFT computation.

6. Spectral characteristics of stachastic and non-stationary signals.

7. Signal and system reprezentation in Z-domain

8. Digital Filtering I - FIR filters.

9. Digital filtering II - IIR filters.

10. Digital filtering in the frequency domain.

11. Basics of multi-band signal processing.

12. Basics of parametric methods of signal processing.

13. DSP applications in speech and biological signal processing. Signal compression.

14. Reserve.

Syllabus of tutorials:

1. Introduction to MATLAB and other tools

2. Computation of basic time-domain characterstics in MATLAB

3. Autocorrelation analysis and its applications

4. Discrete Fourier Transform (DFT) and its properties, interpolation, zero-padding

5. Spectral analysis of deterministic signals

6. Spectral analysis of stochastic and non-stationary signals

7. Discrete-time systems: basic properties, frequency repsonse

8. Design of digital FIR filters

9. Design of digital IIR filters

10. Digital filtering in frequency domain, implementation of signal segmentation

11. Parametric metods of DSP

12. Basics of multi-band signal processing

13. Consultations on semester works

14. Project presentation, credit

Study Objective:

Students should acquire theoretical and practical experiences about basic DSP techniques and the most frequent applications. Simple implementations and simulations of basic DSP methods in MATLAB environment are solved in seminars of the subject. Extended level is possible to be managed within individual projects.

Study materials:

[1] Oppenheim, A.V., Shafer, R.W.: Discrete-Time Signal Processing. Prentice-Hall, Inc., New Jersey, 1998

[2] Rabiner, L.R., Schafer, F.W.: Digital Processing of Speech Signals. Prentice-Hall, Inc., New York, 1978

[3] Makhoul, J.: Linear Prediction: A Tutorial Review. In Proceedings of the IEEE, Vol. 63, No. 4, April 1975

[4] The MathWorks: MATLAB User's and Reference Guides.

[5] The MathWorks: Signal Processing Toolbox - User's Guide.

(Any other book devoted to digital signal processing.)

Further information:
No time-table has been prepared for this course
The course is a part of the following study plans:
Data valid to 2022-05-16
For updated information see http://bilakniha.cvut.cz/en/predmet12525504.html