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) = e^jφ1e^jφ2, than to manipulate trigonometric formula, such as cos(φ₁) cos(φ₂) in the rectangular representation.