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- W2156847594 abstract "In this short paper, a new method of system identification is proposed in which the impulse response of a system is determined from a linear combination of the derivatives of the cross-correlation function between an input and the corresponding output of the system. This method is particularly simple when the autocorrelation function <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>phi_{xx{(tau)</tex> of the input is an exponential or a triangular function of the variable tau. This method merely requires the autocorrelation function to be undifferentiable at some points in the sense of usual functions. Essentially, the method utilizes the δ-functions appearing when <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>phi_{xx}(tau)</tex> is differentiated in the sense of the distribution, or the generalized function proposed by Schwartz. Results of experiments by computer simulation showed good agreement with the theoretical considerations." @default.
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- W2156847594 date "1971-10-01" @default.
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- W2156847594 title "Impulse response determination using derivatives of correlation function" @default.
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- W2156847594 doi "https://doi.org/10.1109/tac.1971.1099788" @default.
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