Digital Filters

The course is a substitute for:

Digital Filters (D31CFS)

Lecturer:

Tutor:

Supervisor:

Department of Circuit Theory

Synopsis:

Digital filters is a free elective subject for all specialization. This course is destined for students of master stage of study. In this subject are presented design methods of digital filters FIR and IIR. Special structures as state-space and wave digital filters are designed. It is pay an attention to real-time implementation of digital filters. The course can register all students they have the basic knowledge in analog filter design and introduction to digital signal processing. The course can be registered in the winter term as 2+1 and in the summer term as 2+2.

Requirements:

Syllabus of lectures:

1. Continuous and discrete-time signal and systems, sampling and signal reconstruction

2. System function and impulse response of digital filters

3. Discrete Fourier transformation (DFT), properties, relations to FT, FS, DTFT

4. Digital filtering, magnitude and phase requirements

5. Digital filter (DF) structures, canonical, cascade, parallel, lattice, transversal. Properties

6. Digital filters IIF, frequency response approximations

7. Design of IIR DF's using bilinear transformation

8. Design of IIR DF's using impulse invariant transformation

9. Digital all-pass, narrow band notch DF's, design methods

10. Special DF structures, state-space DF's, wave DF's, ladder structures

11. Digital filters FIR, linear phase conditions, structures

12. Design of FIR DF's, optimization methods, effect of windowing

13. Implementation of DF's, data representation, word-length effects

14. Digital signal processors, architecture and basic properties

Syllabus of tutorials:

1. Design of DSP algorithms using MATLAB

2. Generation of discrete sequences and their spectra computation

3. Sampling and signal reconstruction

4. Direct and inverse DTFT computation in MATLAB

5. Digital filter structures IIR and FIR, features analysis

6. Digital filter design using MATLAB. Individual projects

7. Design of different structures of digital filters, solving of individual projects

8. Design of different structures of digital filters, solving of individual projects

9. Design of different structures of digital filters, solving of individual projects

10. Design of different structures of digital filters, solving of individual projects

11. Word-length effects in digital filtering

12. Digital filter implementation, solving of individual projects

13. Digital filter implementation, solving of individual projects

14. Presentation of individual projects, credit

Study Objective:

Study materials:

1. Ingle V.K., Proakis, J.G.: Digital Signal Processing Using Matlab, PWS Publ. Comp, 1997

2. Oppenheim A., Shafer: Discrete Time Signal Processing. Prentice-Hall, 1989

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

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