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Arctangent Nonlinearity
A simple example of an invertible (one-to-one) memoryless
nonlinearity is the arctangent mapping:
where normally
. This function is graphed for
in Fig. R.1. (Recall that
is defined as
the angle whose tangent is . Only angles between and
are needed to cover all real values of .)
Figure R.1:
Arctangent nonlinearity.
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