Signal Processing

The course introduces the basic categorization and properties of continuous-time signals and the mathematical tools for their frequency analysis – Fourier series and transform. Signal conditioning with linear time-invariant (LTI) systems introduced. Various ways of describing the LTI systems are shown: differential equation, impulse response, frequency response and system function (Laplace transform of impulse response). The basic methods for such systems synthesis are also shown. 

Sampling and reconstruction are introduced, which are used to convert continuous-time signals into discrete-time signals and back. The requirements and implications of both conversions are considered. Mathematical tools for frequency analysis of time-continuous signals are adapted for the purpose of time-discrete signals. The basic structures and properties of discrete-time LTI systems are shown, and basic tools for their analysis and synthesis are given. Practical implementation of a discrete-time system is demonstrated.

To introduce the fundamentals of signal processing, including the basics of continuous-time signal processing by linear circuits as well as digital processing of discrete signals.

The acquired knowledge in this field enable proper selection of computer aided tools for signal analysis and processing.

Lectures, tutorial, homeworks.