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Published in:
2015 | OriginalPaper | Chapter
Signal Processing
Author : Martin H. Trauth
Published in: MATLAB® Recipes for Earth Sciences
Publisher: Springer Berlin Heidelberg
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Signal processing involves techniques for manipulating a signal in order to minimize the effects of noise, to correct all kinds of unwanted distortions, and to separate out various components of interest. Most signal processing algorithms include the design and realization of filters. A
filter
can be described as a system that transforms signals.
System theory
provides the mathematical background for filter design and realization. A filter has an input and an output, with the
output signal y
(
t
) being modified with respect to the
input signal x
(
t
) (Fig. 6.1). The
signal transformation
can be carried out through a mathematical process known as
convolution
or, if filters are involved, as
filtering
.