Electrical Circuits 3

Lecturer:

Miloš Laipert (gar.)

Tutor:

Miloš Laipert (gar.)

Supervisor:

Department of Circuit Theory

Synopsis:

Analysis of linear time invariant systems in analog and discrete time domains. The linear time invariant system, input / output description of systems with continuous and discrete time. Basics of Laplace and z-transforms. Transfer function of the analog and discrete system - analysis of two-ports, matrix characteristics of two-ports, transient response characteristics. Frequency transformation, frequency and impedance adaptation in synthesis of the RLC circuits.

Requirements:

Syllabus of lectures:

1. A linear invariant system, input / output description of systems with continuous and discrete time base

2. Basics of Laplace a z-transformation

3. Transfer function of the analog and discrete system

4. Analysis of twoports

5. Matrix characteristics of twoports ,response characteristics

6. Frequency transformation, frequency and impedance adaptation in synthesis of the RLC circuits

7. Approximation problem. Filters with a maximally flat and Chebyshev response chatacteristic

8. Realization of the LC filters

9. Active RC filters with operation amplifiers, realization of the filters based on LC ladder structures, cascade synthesis

10. Description of the digital filters, block diagram of the digital filter

11. Basic structures of fiters with infinite impulse response (IIR), bilinear transformation

12. Filters with final imlulse response (FIR)

13. Two dimensional filtering, applications of signal processing in the image informations

Syllabus of tutorials:

1. Matlab system and Simulink toolbox

2. Laplace and z-transformation

3. Convolution, transfer function, transmit of the signal in analog and digital filter (Matlab simulation)

4. Characteristics and ordering of twoports

5. Transfer characteristics of twoports

6. Analysis of the active RC circuits with operation amplifiers

7. Frequency and impedance adaptation, frequency transformation

8. Synthesis of the filters with a maximally flat transfer characteristic (Butterrworth)

9. Realization of the Butterrworth filters, individual design in Matlab

10. Synthesis of the filters with an isoextremally transfer characteristic (Chebyshev)

11. Realization of the Chebyshev filters, individual design in Matlab

12. Cascade synthesis of the active RC filters with operation amplifiers

13. Bilinear transformation, design of IIR filters

14. Synthesis of FIR filters

Study Objective:

Study materials:

1. Kendal, L.S.: Analog Filters. Chapman & Hall, London, 1997

2. Williams, A.B.: Electronic Filters Design Handbook. McGraw-Hill Book Company, Inc., New York, 1981

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Electronics and Communication Technology - structured studies (compulsory course)