Signals and Systems

Lecturer:

Jaromír Fišer

Tutor:

Jaromír Fišer

Synopsis:

Concepts for the analysis of continuous and discrete-time linear systems including convolution, impulse and pulse responses, step responses, continuous and discrete Fourier transforms, frequency responses, Laplace and z-transforms. From continuous to discrete signals and back via sampling and the Nyquist sampling theorem. Introduction to communication systems including amplitude and pulse amplitude modulation, demodulation, and frequency and time-division multiplexing. Introduction to feedback control including concepts of stability and robustness. Lecture notes available for students of this subjects. Exercises in computer classroom using Mathlab and Simulink.

Requirements:

Syllabus of lectures:

1. Discrete and continuous-time signals; definition of a linear system; modeling with systems.

2. Basic properties of linear systems; overview of Matlab and Simulink.

3. Input-output modeling using linear differential equations and linear difference equations; computer solution via Euler discretization.

4. Convolution of continuous and discrete signals; input-output modeling using convolution integrals and sums; responses to steps, impulses and pulses.

5. Signal frequency components; Fourier series representation of periodic signals; Fourier transform; Fourier transform properties.

6. Generalized Fourier transform; responses to sinusoidal inputs, periodic inputs; aperiodic inputs; ideal inputs; Bode diagrams.

7. Analog filters and their classification, Bode diagram applications.

8. Introduction to communication systems.

9. Discrete-time Fourier transform: discrete Fourier transform.

10. FFT and its applications.

11. Laplace transform.

12. Use of Laplace transforms in the analysis of continuous-time systems.

13. z-transform and its use in the analysis of discrete-time systems.

14. Summary via test.

Syllabus of tutorials:

Testing run - the same as lectures, in computer classroom in Mathlab.

Study Objective:

Study materials:

E. W. Kamen and B. S. Heck: Fundamentals of Signals and Systems (2nd Edition), Prentice Hall, 2006

Klan, P., Gorez, R.: Process control. FCC Public, Prague, 2011 (contact lecturer on jaromir.fiser@fs.cvut.cz about availability of this book)

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: