Application of the envelope-phase representation in some non-linear noise problems†
Α.Κ. Mahalanabis · International Journal of Electronics · 1968
The paper discusses an extension of some of the earlier works of the author and his student on a procedure for evaluating the transmission properties of gaussian signals through non-linear devices. It is based on the application of the envelope-phase representation of such signals and subsequent application of the Fourier series expansion of the instantaneous output of the non-linearity. The earlier investigations were concerned mainly with the evaluation of the input-output cross-power‡ terms. It is shown here that this approach is equally good for the more general problem of evaluating the output power‡ series of a non-linearity of either single-valued or double-valued type. An application of those computations in the field of nonlinear filtering is discussed.