Howtosignalprocessing
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.
How do you find a complex exponential function?
The complex number eiθ = cosθ + isinθ is the point on the unit circle with polar angle θ. Taking t = 1 in (6), we have ea+ib = ea(cosb + isinb). complex exponentials.
