Использование аддитивного итерационного метода для коррекции ошибок в младшем значащем разряде аналого-цифрового преобразователя (АЦП)

Miroslav Kamensky; Karol Kovac; Anton Krammer; Yury Nikitin

Authors

M. Kamensky Slovak University of Technology in Bratislava, Slovakia
K. Kovac Slovak University of Technology in Bratislava, Slovakia
A. Krammer Slovak University of Technology in Bratislava, Slovakia
Y. Nikitin Izhevsk State Technical University, Russia

Keywords:

ADC errors, iterative corrections, dithering

Abstract

Additive iterative method (AIM) could be used for automatic correction of a measurement transducer error. The method is suitable for suppression of errors of analog-to-digital converters (ADC). But quantization error represents limitation for correction process if total measurement error less than 0.5 LSB of ADC is desired. For elimination of this restriction combination of AIM with non-subtractive dithering (ND) is proposed in this paper and the principle of combination of both techniques is described. Inverse element (IE) is fundamental part of a measurement channel with AIM. Analysis of IE design based on pulse width modulation signal is described for application with single-chip microcontroller. To achieve precise processing of signal from IE technique similar to deterministic dithering could be employed which enables faster IE response. For resolution improvement of measured signal processing in the initial step of correction ND with stochastic dither is suggested. From the dependency of root mean squared error on dither dispersion optimal dither dispersion is found.

Author Biographies

M. Kamensky, Slovak University of Technology in Bratislava, Slovakia

кандидат технических наук; Словацкий технический университет, Братислава, Словакия; Slovak University of Technology in Bratislava, Slovakia

K. Kovac, Slovak University of Technology in Bratislava, Slovakia

кандидат технических наук, доцент; Словацкий технический университет, Братислава, Словакия; Slovak University of Technology in Bratislava, Slovakia

A. Krammer, Slovak University of Technology in Bratislava, Slovakia

инженер, старший преподаватель; Словацкий технический университет, Братислава, Словакия; Slovak University of Technology in Bratislava, Slovakia

Y. Nikitin, Izhevsk State Technical University, Russia

кандидат технических наук, доцент; Ижевский государственный технический университет, Россия; Izhevsk State Technical University, Russia

References

Гартянски, Р.; Галлон, Й. Измерение свойств зонда электрического поля на базе резистивного диполя // Вестн. ИжГТУ. - 2009. - № 3. - С. 123-126.

Muravyov, S. V. Model of procedure for measurement result error correction // Proc. of the XVI IMEKO World Congr., Hofburg, Wien, Austria, Sept. 25-28, 2000. Published on CD-ROM, Sept. 2000.

Aliev, T. M.; Saligov, S. G.; Ismailov, Kh. A. Automatic methods for correcting measuring-system errors // Measurement Techniques. - 1978. - Vol. 21, nr 6. - Pp. 757-761.

Kamensky, M.; Kovac, K. Iterative Method and Averaging for Measurement Error Correction // Measurement Science Review. - 2007. - Vol. 7, Sect. 1, nr 4. - Pp. 35-38.

A Theory of Nonsubtractive Dither / R. A. Wannamaker, S. P. Lipshitz, J. Vanderkooy et al. // IEEE Transactions on Signal Processing. - 2000. - Vol. 48, nr 2. - Pp. 499-516.

Widrow, B.; Kollar, I. Quantization Noise: Roundoff Error in Digital Computation, Signal Processing, Control, and Communications. - Cambridge University Press, 2008. - 778 p. - ISBN 9780521886710.

Carbone, P.; Petri, D. Effect of Additive Dither on the Resolution of Ideal Quantizers // IEEE Transactions on Instrumentation and Measurement. - 1994. - Vol. 43, nr 3. - Pp. 389-396.

Skartlien, R.; Oyehaug, L. Quantization error and resolution in ensemble averaged data with noise // IEEE Transactions on Instrumentation and Measurement. - 2005. - Vol. 54, nr 3. - Pp. 1303-1312.

Carbone, P. Quantitative Criteria for Design of Dither-Based Quantizing Systems // IEEE Transactions on Instrumentation and Measurement. - 1997. - Vol. 46, nr 3. - Pp. 656-659.