Signals and systems/Exponential signals

Complex exponentials are some of the most important functions in our study of signals and systems. Their importance stems from their status as eigenfunctions of linear time invariant systems.

Example of exponential function when a < 1

Example of exponential function when a < 1

With exponential function possible to "envelope" other functions. Here example of $a^{x}*sinx$ function:

Enveloping of sinusoidal function