Signals and Systems

Lectures:
The Signal. Continuous time Signal w(t).
Basic Definitions. Time Averages. Sinusoidal Signal. Dirac\'s Impulse.
Signal Analysis in the Time Domain. Correlation Analysis of Continuous time Signal.
Signal Analysis in the Frequency Domain I. Fourier Series. Discrete Spectrum. Discrete Power Spectrum.
Signal Analysis in the Frequency Domain II. Fourier Transform. Spectrum. Energy Spectrum. Power Spectrum.
Random Signal. Correlation and Spectral Analysis of Random Signal. Random Process.
Amplitude modulation. Angle modulation.
The System. Basic Definitions. Continuous LTIL System.
Step Response and Impulse Response. Description of the LTIL System by the Differential Equation.
Convolution. Stability.
System Analysis in the Frequency Domain. Frequency Transfer Function of the System.
Distortion of the Sinusoidal Signal by the LTIL System. Ideal Filter, Causal Filter.

Computer Labs:
Introduction in Laboratory Work. Introduction to the Matlab.
Basic Characteristics of Signals.
Correlation Function.
Discrete Spectrum.
Spectrum.
Project No.1
Test No.1
Filtration of the Signal. Using Signal Processing Toolbox.
System Analysis in the Time Domain - Simulink. Step response, Impulse response.
Stability of the System.
Frequency Transfer Function of the System.
Project No. 2
Distortion of the Sinusoidal Signal by the LTIL System.
Test No.2. Conclusion of the Course.