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NUMERICAL METHODS AND THE BASIS FOR THEIR APPLICATION
Test-signals forming method for correlation identification of nonlinear systems
D. Yu. Dunyushkin Dmitrov branch of Dubna International University for Nature, Society, and Man, 23 DZFS str., Dmitrov, Moscow Region, 141800, Russia
Abstract:
Тhe new test-signals forming method for correlation identification of a nonlinear system based on Lee–Shetzen cross-correlation approach is developed and tested. Numerical Gauss–Newton algorithm is applied to correct autocorrelation functions of test signals. The achieved test-signals have length less than 40 000 points and allow to measure the 2nd order Wiener kernels with a linear resolution up to 32 points, the 3rd order Wiener kernels with a linear resolution up to 12 points and the 4th order Wiener kernels with a linear resolution up to 8 points.
Keywords:
nonlinear dynamic systems, Volterra–Wiener approach, system identification, cross-correlation ap- proach, Lee–Shetzen method, test-signals, white noise.
Received: 12.10.2012
Citation:
D. Yu. Dunyushkin, “Test-signals forming method for correlation identification of nonlinear systems”, Computer Research and Modeling, 4:4 (2012), 721–733
Linking options:
https://www.mathnet.ru/eng/crm524 https://www.mathnet.ru/eng/crm/v4/i4/p721
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