Analysis of the Structure of Nonlinear Distortions at Baseband Pulse Impacts Using Behavioral Nonlinear Models of Electrical Circuits

Abstract

Introduction. Measuring harmonic distortions of a baseband pulse signal constitutes a problem due to the continuous nature of their spectrum. In order to obtain nonlinear distortions of a signal, a comparison should be conducted either of the object’s responses to two different test signals or those of the real object and its linearized model. However, such an approach does not distinguish between various physical factors that cause nonlinear distortions. This, as a result, complicates the optimization of devices.Aim. To develop an approach capable of determining the contribution of various sources to the nonlinear distortion of baseband pulse signals.Materials and methods. The method under consideration involves a synthesis of a nonlinear behavioral model for an object and a comparison of the model’s output signals when linearizing some (or all) of the characteristic functions in this model. This allows distinguishing the contribution of inertialess, capacitive nonlinearity and nonlinearity associated with signal recirculation in feedbacks. An example of a three-stage baseband pulse amplifier (with step functions as test signals) is provided, for which a behavioral model was synthesized in the form of a second-order nonlinear recursive filter.Results. The aggregate signal of nonlinear distortions obtained using the presented method was found to be similar to that obtained by subtracting the responses to two different test signals. Further, the distortions caused by static amplitude nonlinearity, capacitive reactivity nonlinearity and energy recirculation between different reactive storages were distinguished. The nonlinearity of the amplitude characteristic exhibits its effect at the end of the transient process, the nonlinearity with the capacitive nature – at the beginning of the transient process, and the nonlinearity of energy recirculation – in the middle part of the transient process. It is shown that even parts of the nonlinear distortions at step impact, caused by individual physical nonlinearity factors, exceed the harmonic distortions of a RF-pulse signal.Conclusion. The considered method is particularly useful when designing wideband devices with feedbacks, since the nonlinearity of energy recirculation takes effect long after the visual end of the transient process.