Hands-on Signals and Systems Theory

This textbook presents the theory of continuous-time and discrete-time signals and systems and shows how it can be used to solve analytically different problems. The book is dedicated to engineering students who are interested in mathematical methods used to solve real technical problems connected with signals and systems. The book covers, both in continuous- and in discrete domains, analysis of signals in time domain; orthogonal signal representation including Fourier series; convolution and correlation of signals; analysis of signals in the frequency domain and signal sampling, including aliasing and stroboscopic effects, among others. The author also emphasizes the role of Fourier-, one-sided Laplace- and one-sided Z transformations in signals and systems. Chosen methods of analog and digital filter design and stability criteria of analog and digital filters are also described. The author presents the necessary theory in the form of a concise lecture accompanied with a number of solved original problems. Every chapter ends with examples of complete solutions with explanation and necessary graphical visualization (graphs, schemes etc.).

Presents the necessary theory accompanied with a number of solved original problems Presents continuous-time and discrete-time signals and systems and their use in solving analytically different problems Includes mathematical methods used to solve technical problems connected with signals and systems

Autorentext

Kajetana M. Snopek received the M.Sc. degree in applied mathematics, the Ph. D. and the Dr.Sci. degrees in electronics from the Warsaw University of Technology (WUT), Warsaw, Poland, in 1991, 2002 and 2014, respectively. She as an Associated Professor at WUT, with the Department of Electronics and Information Technology and the head of the Multimedia Engineering Division. She is the expert of the Telecommunications Section of the Committee of Electronics and Telecommunication of the Polish Academy of Sciences, the member of the Scientific Council for Technical Informatics and Telecommunications (WUT). In the past and currently, she serves as a member of programme committees of several scientific conferences organized in Poland and abroad. She is the co-author of several textbooks (in Polish) in signal and system theory and the co-author of the monograph edited by Artech House in 2017. Her research activities include signal theory and applications, time-frequency distributions and their extension to n-dimensional signals, hypercomplex signal analysis and image processing.

Inhalt

Introduction.- Analysis of signals in time domain.- Analysis of continuous-time signals in frequency domain.- Analysis of systems in time domain.- Analysis of analog systems in frequency domain.- One -sided Laplace transformation in continuous-time LTI systems.- Signal sampling.- Analysis of discrete-time signals in frequency domain.- One-sided Z transformation in discrete-time LTI systems.- Conclusion.