Signals and Systems

Přednášející:

Jaromír Fišer

Cvičící:

Jaromír Fišer

Anotace:

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.

Požadavky:

Osnova přednášek:

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: Sampling; midterm exam

8: Analog modulation and demodulation; simultaneous signal transmission via multiplexing;

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

10: Laplace transform

11: Use of Laplace transforms in the analysis of continuous-time systems; Nyquist, Routh-Hurwitz, Lyapunov Stability tests.

12: z-transform and their use in the analysis of discrete-time systems.

13. Summary, preparation for the exams.

Osnova cvičení:

Cíle studia:

Studijní materiály:

Poznámka:

Rozvrh na zimní semestr 2011/2012:

Rozvrh není připraven

Rozvrh na letní semestr 2011/2012:

Rozvrh není připraven

Předmět je součástí následujících studijních plánů: