Practical Nonlinear Analysis Using Pseudo-Random Impulse Train Inputs : A Case Study of the Crayfish Brain Responses(Physiology)

概要

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This paper outlines an extension of the Krausz method for nonlinear system identification in which the Poisson random impulse trains are used as the test inputs and the system is described by the Volterra functional expansion. The extension concerns improvement of accuracy in the nonlinear system identification that the test inputs are not perfectly random, in other words, their spectra are non-white. A formula for the improvement of the system kernels in the functional expansion are given under such input condition. This approach is illustrated and evaluated with analyses of the responses in the crayfish brain activated by the pseudo-random impulse train stimuli. When the input spectral property was apparently deviated from white, the accuracy of the system identification was efficiently improved through the present procedure. Even if the input impulse trains are not perfectly random, they can be used as the test inputs in order to identify nonlinear systems through the simple extension of the Krusz method.
社団法人日本動物学会の論文
1991-10-15