Common Functions

The common functions are the base tools used in signal processing. Here, we study the behavior of the most useful functions in the spatial domain (time or distance) or in the spectral domain (frequency or wavenumber).

The base functions are:

The Dirac.
The boxcar function.
Carrier and envelope.
The Dirac comb.
Multiplication by a Dirac comb function.

The problems due to sampling are the object of particular attention in the following chapter.