Measurement of second-order Volterra kernels using pseudorandom ternary signals
作者:
H. A. BARKER,
R. W. DAVY,
期刊:
International Journal of Control
(Taylor Available online 1978)
卷期:
Volume 27,
issue 2
页码: 277-291
ISSN:0020-7179
年代: 1978
DOI:10.1080/00207177808922365
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The problem of measuring the second-order Volterra kernel of a non-linear system by cross-correlation using a pseudo-random ternary test signal is considered. It is shown that the kernel values may be determined by a shift-and-add procedure, applied to the diagonal measurements obtained by removing a bias from the cross-correlation function of the system output and the square of the system input. The complete information content of experimental results may be extracted by this procedure, but it is shown to be preferable to extract only uniformly distributed kernel values, and the pseudo-random ternary signals which yield the greatest number of such values are tabulated. Implementation is shown to be simpler than conventional methods, and amenable to the application of discrete Fourier transforms. An example is used to illustrate the method.
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