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On the bias of terminal based gain and offset estimation using the ADC histogram test method

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Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The Histogram Test method is a popular technique in analog-to-digital converter (ADC) testing. The presence of additive noise in the test setup or in the ADC itself can potentially affect the accuracy of the test results. In this study, we demonstrate that additive noise causes a bias in the terminal based estimation of the gain but not in the estimation of the offset. The estimation error is determined analytically as a function of the sinusoidal stimulus signal amplitude and the noise standard deviation. We derive an exact but computationally difficult expression as well as a simpler closed form approximation that provides an upper bound of the bias of the terminal based gain. The estimators are validated numerically using a Monte Carlo procedure with simulated and experimental data.
Rocznik
Strony
3--12
Opis fizyczny
Bibliogr. 18 poz., rys., tab., wykr.
Twórcy
  • Instituto Superior Técnico and Instituto de Telecomunicaçoes, Av. Rovisco Pais 1, 1049-001 Lisbon, Portugal, falegria@lx.it.pt
Bibliografia
  • [1] IEEE. IEEE Standard for Digitizing Waveform Recorders - IEEE Std 1057-2007 (April 2008). Institute of Electrical and Electronics Engineers. Inc.
  • [2] Carbone, P., Petri, D. (2000). Design of ADC sinewave histogram test. Computer Standards & Interfaces, 22, 239-244.
  • [3] Blair, J. (1994). Histogram Measurement of ADC Non-linearities Using Sine Waves. In IEEE Transactions on Instrumentation and Measurement, 43(3), 373-383.
  • [4] Chiorboli, G., Morandi, C. (2000). About the number of records to be acquired for histogram testing of ArD converters using synchronous sinewave and clock generators. Computer Standard & Interfaces, 22, 253-259.
  • [5] Corrêa Alegria, F., Cruz Serra, A. (2004). Error in the Estimation of Transition Voltages with the Standard Histogram Test of ADCs. Measurement. Elsevier Science, 35(4), 389-397.
  • [6] Löhning, M., Fettweis, G. (2007). The effects of aperture jitter and clock jitter in wideband ADCs. Computer Standards & Interfaces, 29, 11-18.
  • [7] Arpaia, P., Daponte, P., Rapuano, S. (2003). Characterization of digitizer timebase jitter by means of the Allan variance. Computer Standards & Interfaces, 25, 15-22.
  • [8] Corrêa Alegria, F., Cruz Serra, A. (April 24-27, 2006). The Histogram Test of ADCs is Unbiased by Phase Noise. IMTC 2006 - Instrumentation and Measurement Technology Conference. Sorrento. Italy, 1639-1642.
  • [9] Corrêa Alegria, F., Cruz Serra, A. (2001). Influence of Frequency Errors in the Variance of the Cumulative Histogram. IEEE Transactions on Instrumentation and Measurements, 50(2), 461-464.
  • [10] Corrêa Alegria, F., Cruz Serra, A. (2003). Variance of the Cumulative Histogram of ADCs due to Frequency Errors. IEEE Transactions on Instrumentation and Measurements, 52(1), 69-74.
  • [11] Attivissimo, F., Giaquinto, N., Savino, M. (2007). Worst-case uncertainty measurement in ADC-based instruments. Computer Standards & Interfaces, 29, 5-10.
  • [12] Giaquinto, N., Savino, M., Trotta, A. (1998). Metrological qualification of data acquisition systems. Computer Standards & Interfaces, 19, 219-229.
  • [13] Corrêa Alegria, F. (6-11 September 2009). Bias In ADC Terminal Based Gain and Offset Estimation Using the Histogram Method. Proceedings of the XIX IMEKO World Congress. Lisbon. Portugal, 710-713.
  • [14] Corrêa Alegria F., Cruz Serra, A. (2006). ADC Transfer Function Types - A Review. Computer Standards & Interfaces. Elsevier, 28(5), 553-559.
  • [15] Corrêa Alegria, F., Cruz Serra, A. (2007). Standard Histogram Test Precision of ADC Gain and Offset Error Estimation. IEEE Transactions on Instrumentation and Measurement, 56(5), 1527-1531.
  • [16] Papoulis, A. (1991). Probability, Random Variables and Stochastic Processes. McGraw-Hill. 3rd edition.
  • [17] Corrêa Alegria, F., Cruz Serra, A. (2004). Error in the Estimation of Transition Voltages with the Standard Histogram Test of ADCs. In Measurement. Elsevier Science, 35(4), 389-397.
  • [18] “Agilent 33210A 10 MHz Function/Arbitrary Waveform Generator Data Sheet”. (2008).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW1-0075-0012
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