5. Complex Signals

By Sadasivan Puthusserypady, Technical University of Denmark, Denmark

Downloaded: 964 times

Published: 31 Mar 2021

© 2021 Sadasivan Puthusserypady

Abstract

A number of signal processing applications make use of the complex signals. Some examples include the characterization of the Fourier transform, blood velocity estimations, and modulation of signals in telecommunications. Furthermore, a number of signal processing concepts are easier to derive, explain and understand using complex notation. It is much easier, for example to add the phases of two complex exponentials such as x(t) = ejφ1ejφ2, than to manipulate trigonometric formula, such as cos(φ1) cos(φ2) in the rectangular representation.