Title :
The effect of a zero memory nonlinearity on the bandlimitedness of contaminated Gaussian inputs (Corresp.)
fDate :
5/1/1980 12:00:00 AM
Abstract :
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.
Keywords :
Bandlimited stochastic processes; Gaussian processes; Nonlinearities; Decoding; Entropy; Error correction codes; Information theory; Lagrangian functions; Random variables; Rate distortion theory; Reliability theory; Stochastic processes; Welding;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.1980.1056183
