Signals and Systems

Lectures:
Signal and system analysis using MATLAB.
The Signal. Continuous time Signal w(t). Basic Definitions. Time Averages. Orthogonal Functions. 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.
The System. Basic Definitions. Continuous LTIL System. Linear System. Linear Time Invariant system.
System Analysis in the Time Domain. Impulse Response.
Convolution. Description of the LTIL System by the Differential Equation. 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.
Sampling. Ideal Sampling. Instantaneous Sampling. Discrete time Signal w[n]. DTFT, DFT, FFT.
Discrete time System Analysis in the Time Domain. Kronecker delta Sequence. Convolution. Difference equation. Solution of Difference Equation. Stability.
Discrete time System Analysis in the Frequency Domain Using DTFT. Frequency Transfer Function of the System. Distortion of the Sinusoidal Signal by the LTIL System. Ideal Filter, Causal Filter.



Computer labs:

Introduction.
Basic Characteristics of Signals.
Crosscorrelation Function of Energy Signals.
Discrete Spectrum.
Spectrum (Spectral Density).
Assignment and preparation of the Lab. report No.1. System Analysis in the Time Domain -Simulink.
Stability of the System.
Frequency Transfer Function of the System.
Assignment and preparation of the Lab. report No.2.
DTFT and FFT of a Discrete Time Signal.
Discrete Time System Analysis in the Time Domain.
DTFT Analysis of the Causal Discrete Time Filter.
Final Test. Conclusion of the Course.