Transactions of the Institute of Systems, Control and Information Engineers
Online ISSN : 2185-811X
Print ISSN : 1342-5668
ISSN-L : 1342-5668
Numerical Differential Formula via Linear Combinations of Sampled Data
Kyouichi INOUYETakashi SHIMOMURANobuhide SUDA
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1996 Volume 9 Issue 1 Pages 14-23

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Abstract

In this paper, we propose a method for obtaining accurate derivatives of observed signals on real time; we propose the Numerical Differential Formula via Linear Combinations of Sampled Data, based on a necessary and sufficient condition under which the linear combination of sampled data is the numerical differential formula. We investigate its property of differentiating general observation signal which includes random noises and give methods for minimizing the variance of error and for assigning the phase. A design approach using empirical rules simplifies selection of parameters by trial and error.

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