Every function
can be represented by the summation of individual
frequency components
,
the so called
Fourier Series
. With a set of given single frequencies a new time signal can be generated.
On the other hand by
sampling
a time signal with respect to its frequency components, the
source frequencies
of the time signal can be revealed. This process is known under the term
Fourier Transformation
and widely used in
engineering and science. The
interactive visualization
on this pages exemplifies the Fourier Transformation and its
characteristic parameters. The Graphs show; the resulting or starting time signal (top), the single frequency terms (bottom-left)
and the spectral representation of the frequency components (bottom-right). The blue lines in the spectrum indicate the individual frequencies
(
Delta Dirac Functions
); the connecting dark line is (spline-) interpolated.
Choose one of the following examples:
1. Ultrashort Pulse
2. Pulse Wave