自乗則非線形系の任意スペクトラム不規則応答解析

抄録

General theoretical expressions are derived for the output probability distribution P (z) and the parameters m, s, α, β, …… corresponding to an input of normal random noise with an arbitrary power spectrum, when the input passes through a zero-memory, square law, nonlinear element and a linear filter of arbitrary impulse response. The theory is based upon the eigenvalue problem of a singular integral equation of Fredholm's type involving the autocorrelation function of input noise and a weighting function of linear filter. Detailed experiments sufficient to justify the above theoretical-consideration are given for the case in which the power spectrum of input normal noise is shaped by passing through the following three filters: (a) RC low-pass filter, (b) resonance circiut, (c) band-pass filter.