Introduction to signal processing: sine wave and complex signals

Eugene Tikhonov, Manfred Sneps-Sneppe

Abstract


The article describes one of the powerful tools for the signals analysis while transmission – complex mathematics. Here the basic concepts (complex numbers, complex signal as expansion of a real signal to a complex-valued function) and some operations (exponentiation, absolute value and angular phase representation) are introduced. As an example complex mathematical methods are used for the case of classical electrical circuits with resistors, capacitors, coils. Actions can be performed both analytically and on a computer, using, for example, MatLab or any other computing software. Illustrations of the signal passage through electrical circuits are supplied with a commented Matlab code, which is used to their producing. The article is supposed to be used as a teaching aid, for self-learning the basics of the signal processing. It is considered as a first introduction part of a series on modern signal processing technologies. Three main approaches to the exploring of the case are also demonstrated: ideological (experiment and its principal explanation), mathematical and computer modeling.


Full Text:

PDF

References


J. Šateet all. Concept of spectrally efficient communication subsystem// Space Research Review, Vol.4, January 2016, 52-61.

Werner Dzieia, Josef Kammerer, Wolfgang Oberthür, Hans-Jobst Siedler, Peter Zastrow Elektotechnische Grundlagen der Mirkoelektronik. Lehrbuch. 2001, ISBN 3-7905-0707-5.

Horowitz, Paul; Hill, Winfield. The Art of Electronics, 7th printing 2016 with corrections. Cambridge University Press. ISBN 978-0-521-80926-9.

Charles K. Alexander; Matthew N.O. Sadiku. Fundamentals of Electric Circuits – 5th ed. p.cm. The McGraw-Hill Companies, Inc. NewYork., 2013, ISBN 978-0-07-338057-5.


Refbacks

  • There are currently no refbacks.


Abava   FRUCT 2019

ISSN: 2307-8162