The effect of a zero memory nonlinearity on the bandlimitedness of contaminated Gaussian inputs (Corresp.)

The bandlimitedness of the output of a time invariant zero memory nonlinearity whose input is the sum of a Gaussian process and another independent random process is discussed. It is shown that, if the nonlinearity is not a polynomlal, or if the Gaussian input component is not bandlimted, then the output is not bandlimited.