When viewed as a Taylor series expansion such as Eq.
(6.18), the
simplest nonlinearity is clearly the *square law nonlinearity*:

where is a parameter of the mapping.

Consider a simple signal processing system consisting only of the square-law nonlinearity:

The Fourier transform of the output signal is easily found using the dual of the convolution theorem:

where `` '' denotes convolution. In general, the bandwidth of is

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