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Improving Polynomial Methods of Reconstruction of Functional Dependences in Information-Measuring Systems

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Measurement Techniques Aims and scope

Automated methods and algorithms for use in finding polynomials of best approximation for approximating functional dependences and calibration characteristics from the standpoint of optimization of the criteria of a computational process are improved. Methods of mutual compensation of the errors of specialized computational measuring systems are considered.

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References

  1. S. S. Kukushkin and V. N. Zakharov, “Mathematical and methodological principles in using a constructive residue theorem in processing measurements,” Izmer. Tekhn., No. 10, 18–21 (2006); Measur. Techn., 49, No. 10, 976–982 (2006).

  2. S. S. Kukushkin, “Models for vector data representation and nontraditional transformation in a residual-class system,” Izmer. Tekhn., No. 3, 15–20 (2007); Measur. Techn., 50, No. 3, 237–244 (2007).

  3. S. S. Kukushkin and N. N. Gulyi, “New methods and technologies for processing video images in full-scale tests of complex technical systems,” Izmer. Tekhn., No. 4, 20–24 (2009); Measur. Techn., 52, No. 4, 360–367 (2009).

  4. Yu. F. Opadchii and E. M. Chumakova, “A study of methods of computing elementary mathematical functions and their implementations in PLIS,” Inform. Tekhnol., No. 4, 52–56 (2014).

  5. V. N. Kochemasov and L. A. Belov, “Digital computational synthesizers,” Elektron., Nauka, Tekhnol., Biznes, No. 2, 150–160 (2014).

  6. A. M. Averyanov, V. V. Chekushkin, and I. V. Panteleev, “Methods of increasing the speed and accuracy characteristics of converters of orthogonal components of a signal into amplitude,” Izmer. Tekhn., No. 8, 9–14 (2012); Measur. Techn., 55, No. 8, 858–866 (2012).

  7. I. V. Panteleev and V. V. Chekushkin, “Modeling methods of searching for polynomials of best approximation,” Vopr. Radioelektr., No. 1, 119–125 (2011).

  8. V. V. Chekushkin and V. V. Bulkin, Computational Processes in Information Measuring Systems: Textbook, Izd.-Poligraf. Tsentr MI VlGU, Murom (2009).

    Google Scholar 

  9. V. V. Chekushkin, I. V. Panteleev, and A. D. Bogatov, Patent 2476896 RF, “A method of calibration of a measuring system,” Izobret. Polezn. Modeli, No. 6 (2013).

  10. Y. H. Chen and Y. A. Chau, “A direct digital frequency synthesizer based on a new form of polynomial approximations,” IEEE Trans. Consum. Electron., 56, No. 2, 436–440 (2010).

    Article  Google Scholar 

  11. V. V. Chekushkin, K. V. Mikheev, and I. V. Panteleev, “A program for searching for polynomials of best approximation for reconstruction of functional dependences,” No. 2014615085, reg. 05.16.2014, Reestr Progr. dlya EVM.

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The present study was carried out with the support of the Russian Foundation of Basic Research (Grant No. 14-07–00293).

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Correspondence to V. V. Chekushkin.

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Translated from Izmeritel’naya Tekhnika, No. 4, pp. 16–21, April, 2015.

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Chekushkin, V.V., Mikheev, K.V. & Panteleev, I.V. Improving Polynomial Methods of Reconstruction of Functional Dependences in Information-Measuring Systems. Meas Tech 58, 385–392 (2015). https://doi.org/10.1007/s11018-015-0722-2

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  • DOI: https://doi.org/10.1007/s11018-015-0722-2

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