Lectures:
PAM-I modulation. Continuous-Time Impulse Waveform wI(t). Basic Definitions, the Theme of Study. Impulse Signal wI(t) Generation by Sampling a Signal w(t).Autocorrelation Function of Impulse Signal wI(t). Crosscorrelation Function of Impulse Signals wAI(t), wBI(t).
Spectrum of Impulse Signal wI(t).Spectral Density of Impulse Signal wI(t).
Reconstruction of Continuous-Time Signal w(t) by wI(t). Filtering.Theorem of Shannon - Kotelnikov.
Discrete-Time Signal w[k]. Basic Definitions, the Theme of Study. Correlation Function of Discrete-Time Signal w[k]. Cross-correlation Function of Discrete-Time Signals wA[k], wB[k].
Spectrum of Discrete-Time Signal w[k].FFT. Energy Spectrum of Discrete-Time Signal w[k]. Power Spectrum of Discrete-Time Signal w[k].
Spectral Density of Discrete-Time Signal w[k].DTFT. Energy Spectral Density of Discrete-Time Signal w[k]. Power Spectral Density of Discrete-Time Signal w[k].
Discrete-Time System. Basic Definitions, the Theme of Study. LTIL Discrete-Time System. Convolution. Description of LTIL Discrete-Time System H by Difference Equation.
Discrete-Time System Described by Difference Equation.
Analytical Solution in the Time Domain.
Discrete-Time System Described by Difference Equation.
Solution in the Frequency Domain.
Design of Digital Filters and Controllers
The Use of z-Transform. Properties of z-Transform. Description of LTIL System H by Transfer Function H(z).
Stability Analysis of LTIL Discrete-Time System.
State Equation. Derivation of State Equation. Analytical Solution of State Equation.
Laplace Transform and z-Transform of State Equations.
Conclusion.
Computer labs:
Introduction.
Calculation of Spectrum of Impulse Signal wI(t). Calculation of Spectral Density of Impulse Signal wI(t).
PAM-I modulation. Calculation of Charakteristics of Impulse Signal wI(t).
Discrete-Time Signal w[k]. Autocorrelation Function of Disctrete-Time Signal w[k]. Crosscorrelation Function of Discrete-Time Signals wA[k], wB[k].
FFT. Spectrum of Discrete-Time Signal w[k]. Calculation of Spectral Density of Discrete-Time Signal w[k].
Protocol No.1 Specification. Numeric calculation of charakteristics of energy and periodic discret-time signals.
Symbolic Toolbox. Description of LTIL Discrete-Time System H by Difference Equation. z-Transform. Stability Analysis of LTIL Discrete-Time System.
Discrete-Time System Analysis. LTIL Discrete-Time System Responses.
Protocol No.2 Specification. Numeric Analysis of LTIL Discret-Time System. Model of the system, calculation of system response.
Simulation LTIL Discrete-Time System in MATLAB/Simulink.
Numerical Solution of Differential Equation. Analytic Solution of State Equations.
Závěrečný test. Ukončení počítačových laboratoří.
PAM-I modulation. Continuous-Time Impulse Waveform wI(t). Basic Definitions, the Theme of Study. Impulse Signal wI(t) Generation by Sampling a Signal w(t).Autocorrelation Function of Impulse Signal wI(t). Crosscorrelation Function of Impulse Signals wAI(t), wBI(t).
Spectrum of Impulse Signal wI(t).Spectral Density of Impulse Signal wI(t).
Reconstruction of Continuous-Time Signal w(t) by wI(t). Filtering.Theorem of Shannon - Kotelnikov.
Discrete-Time Signal w[k]. Basic Definitions, the Theme of Study. Correlation Function of Discrete-Time Signal w[k]. Cross-correlation Function of Discrete-Time Signals wA[k], wB[k].
Spectrum of Discrete-Time Signal w[k].FFT. Energy Spectrum of Discrete-Time Signal w[k]. Power Spectrum of Discrete-Time Signal w[k].
Spectral Density of Discrete-Time Signal w[k].DTFT. Energy Spectral Density of Discrete-Time Signal w[k]. Power Spectral Density of Discrete-Time Signal w[k].
Discrete-Time System. Basic Definitions, the Theme of Study. LTIL Discrete-Time System. Convolution. Description of LTIL Discrete-Time System H by Difference Equation.
Discrete-Time System Described by Difference Equation.
Analytical Solution in the Time Domain.
Discrete-Time System Described by Difference Equation.
Solution in the Frequency Domain.
Design of Digital Filters and Controllers
The Use of z-Transform. Properties of z-Transform. Description of LTIL System H by Transfer Function H(z).
Stability Analysis of LTIL Discrete-Time System.
State Equation. Derivation of State Equation. Analytical Solution of State Equation.
Laplace Transform and z-Transform of State Equations.
Conclusion.
Computer labs:
Introduction.
Calculation of Spectrum of Impulse Signal wI(t). Calculation of Spectral Density of Impulse Signal wI(t).
PAM-I modulation. Calculation of Charakteristics of Impulse Signal wI(t).
Discrete-Time Signal w[k]. Autocorrelation Function of Disctrete-Time Signal w[k]. Crosscorrelation Function of Discrete-Time Signals wA[k], wB[k].
FFT. Spectrum of Discrete-Time Signal w[k]. Calculation of Spectral Density of Discrete-Time Signal w[k].
Protocol No.1 Specification. Numeric calculation of charakteristics of energy and periodic discret-time signals.
Symbolic Toolbox. Description of LTIL Discrete-Time System H by Difference Equation. z-Transform. Stability Analysis of LTIL Discrete-Time System.
Discrete-Time System Analysis. LTIL Discrete-Time System Responses.
Protocol No.2 Specification. Numeric Analysis of LTIL Discret-Time System. Model of the system, calculation of system response.
Simulation LTIL Discrete-Time System in MATLAB/Simulink.
Numerical Solution of Differential Equation. Analytic Solution of State Equations.
Závěrečný test. Ukončení počítačových laboratoří.