#### Square Law Series Expansion

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.7.18

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:7.19

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

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