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Nonlinear Distortion in Feedback Amplifiers

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Consider a feedback amplifier F with a nonlinear output device T_0 and an open-loop amplifier A having the same gain and the same output device T_0 . If the gains of the forward amplifier u and feedback network \beta are independent of frequency, it is well known that under the usual conditions the nonlinear distortion \zeta of F due to T_0 is related to the nonlinear distortion \hat{\zeta } of A by \zeta = \hat{\zeta }/(1 + u \beta ) . In this paper conditions are determined under which a similar formula, namely \zeta = (1 + u \beta )^{-1 \ast } , applies when u and \beta are strictly stable linear time-invariant amplifiers. The interpretation of the formula is the following: \zeta is the function of time which is output of an amplifier whose gain is 1/(1 + u \beta ) when \hat{\zeta } is its input, and \hat{\zeta } is the nonlinear distortion of the open-loop amplifier A.

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Circuit Theory, IRE Transactions on  (Volume:9 ,  Issue: 1 )