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.
System Analysis in the Time Domain. 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.
Laplace transform in signal and system analysis.
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.
System Analysis in the Time Domain -Simulink. Step response, Impulse response.
Stability of the System.
Frequency Transfer Function of the System.
System analysis by Laplace Transform.
Distortion of the Sinusoidal Signal by the LTIL System. Filtration of the signals.
Amplitude modulation.


Projects:
1. The Correlation and Spectral Analysis of Continuous-Time Signal.
2. The LTIL system analysis.
Time demands of each project is 5 hours.