Course Syllabes: 

1. Introduction to continuous time and discrete time signals and systems, mathematical representation, signal energy and power, periodic signals, transformation of the independent variable, complex exponential and sinusoidal signals, unit impulse and unit step functions, properties of continuous time and discrete time systems
2. Linear Time Invariant systems (LTI), impulse response, convolutional sum and convolutional integral, properties of LTI systems, LTI systems described by differential and difference equations, singularity functions
3. Fourier series representation of periodic signals, definitions, convergence, properties, Fourier series and LTI systems, Filtering
4. The continuous time Fourier transform, definition, properties, analysis of continuous time systems described by Linear constant coefficients Differential equation
5. The discrete time Fourier transform, definition, properties, analysis of discrete time systems described by Linear constant coefficients Difference equation
6. Sampling of continuous signals, sampling theorem, recovery, aliasing, discrete time processing of continuous time signals
7. The Laplace transform, definition, the region of convergence, properties, inverse Laplace transform, transfer functions and analysis of continuous time LTI systems
8. The Z transform, definition, the region of convergence, properties, inverse Laplace transform, transfer functions and analysis of discrete time LTI systems

References:

1. Signals & Systems by Oppenheim