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.6.21. (Recall that is defined as the angle whose tangent is . Only angles between and are needed to cover all real values of .)

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Center for Computer Research in Music and Acoustics (CCRMA), Stanford University