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2nd-order Volterra kernel measurement using pseudorandom ternary signals and discrete Fourier transforms

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2 Author(s)
Barker, H.A. ; University of Aston, Department of Electrical Engineering, Birmingham, UK ; Davy, R.W.

A method is developed for the measurement of the values of a 2nd-order kernel in a Volterra-series representation of a nonlinear system, using the discrete Fourier transform of the system output sequence when the system input is an antisymmetric pseudorandom ternary signal. It is shown that the inverse transform of a product of the output transform and the transform of the square of the input sequence yields a crosscorrelation function from which estimates of the 2nd-order kernel values may be obtained by an established procedure. Properties of the discrete Fourier transform of the square of an antisymmetric pseudorandom ternary sequence are developed and used in a comprehensive procedure for estimating the linear frequency response, 1st-order kernel and 2nd-order kernel of a system with minimal computation.

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Electrical Engineers, Proceedings of the Institution of  (Volume:126 ,  Issue: 5 )