Howtosignalprocessing
What are complex signals?
A complex signal consists of two real signals - one for the real and one for the imaginary part. The linear processing of a complex signal, such as filtration with a time-invariant linear filter, corresponds to applying the processing both to the real and the imaginary part of the signal.
What is complex exponential signal?
A complex exponential is a signal of the form. (1.15) where A = ∣A∣ej θ and a = r + j Ω 0 are complex numbers. Using Euler's identity, and the definitions of A and a, we have that x(t) = A eat equals. We will see later that complex exponentials are fundamental in the Fourier representation of signals.
