Calculation of the original of response of multiinput nonlinear wireless devices using the Volterra series
A computing method has been proposed for calculating the original of response under the action of complex signals of multiinput nonlinear devices by using the tool of Volterra functional series. This method is based on the technique of determining Volterra kernels by differentiation of the system of harmonic balance equations and the procedure of transition to a single variable in the domain of transforms. A response in the time domain can be obtained by using the one-dimensionalLaplacetransform in the form of function of circuit parameters and input actions where the characteristics of nonlinear elements are approximated by an arbitrary analytic function. This study includes an example of computing the original of response of a nonlinear circuit with two inputs.
E. A. Volkov and I. O. Neches, “A Technique for Determining Multidimensional Volterra Kernels in the Frequency Domain,” Teoreticheskaya Elektrotekhnika 50, 105 (1991).
K. A. Pupkov, V. I. Kapalin, and A. S. Yushchenko, Functional Series in the Theory of Nonlinear Systems (Nauka, Moscow, 1976) [in Russian].
E. A. Volkov and I. O. Neches, “Calculation of Response of Multiinput Nonlinear Devices in the Steady State Mode,” Radiotekhnika, Nos. 4–5, 8 (1994).
E. A. Volkov and I. O. Neches, “Algorithm of Analysis of Nonlinear Wireless Devices in the Time Domain,” Elektronnoe Modelirovanie, No. 6, 90 (1992).
I. O. Neches and N. D. Pirogova, “The Method of Time-and-Frequency Analysis of Nonlinear Communication Devices Using the Tool of Volterra’s Functional Series,” in Proc. 2nd Int. Theoretical and Practical Conf. “TelekomTrans-2004”, Rostov-on-Don, 2004 (Rostov-on-Don, 2004), pp. 132–135.
I. O. Neches and M. E. Golubenko, “Building of the CAD Architecture of Nonlinear Wireless Devices Using the Object-Oriented Approach,” Vestnik RGUPS, No. 3, 48 (2007).
E. A. Volkov, I. O. Neches, and N. D. Pirogova, “Estimation of the Convergence of Functional Series and the Accuracy of Analysis of Nonlinear Devices under the Impact of Multifrequency Action,” Radioelectron. Commun. Syst., 36(3), 12 (1993).