Information entropy calculation of resolution for analog-to-digital converter in measurement

Abstract

Keywords:
• information entropy,
• analog-to-digital converter,
• resolution,
• average rule,
• signal noise rate

References

1. [1]

   RODRIGUEZ-NAVARRO D,LAZARO-GALILEA J L,BRAVO-MUNOZ I, et al.Analysis and calibration of sources of electronic error in PSD sensor response[J].Sensors,2016,16(5):619.

2. [2]

   CHEN C H, HE T, ZHANG Y, et al.Incremental analog-to-digital converters for high-resolution energy-efficient sensor interfaces[J].IEEE Journal on Emerging and Selected Topics in Circuits and Systems, 2015,5(4):612.

3. [3]

   KIERANS A S, BENNETT G L, MUSSI T C, et al.Characterization of malignancy of adnexal lesions using ADC entropy:Comparison with mean ADC and qualitative DWI assessment[J].Journal of Magnetic Resonance Imaging,2013,37(1):164.

4. [4]

   HUGHES M S.Analysis Of digitized waveforms using Shannon Entropy[J].Journal of the Acoustical Society of America,1993,93(2):892.

5. [5]

   HUGHES M S, MCCARTHY J E, BRUILLARD P J, et al.Entropy vs.energy waveform processing:A comparison based on the heat equation[J].Entropy,2015,17(6):3518.

6. [6]

   SCHMID H, SIGEL S, PASTRE M, et al.An internally non-linear ADC for a Sigma Delta accelerometer loop[C]//Proceedings of 2010 IEEE International Symposium on Circuits and Systems,Piscataway:IEEE,2010:2155.

7. [7]

   王隽骧, 严士健, 刘秀芳.概率论基础[M].北京:科学出版社,2007.
   

8. [8]

   COVER T M, THOMAS J A.Elements of information theory[M].New York:Wiley-Interscience, 1991.

9. [9]

   BREIMAN L.The individual ergodic theorems of information theory[J].Ann Math Stat, 1957,28:809.

10. [10]

    MOY S C.Generalization of Shannon-McMillan theorem[J].Pacific Journal of Mathematics, 1961(11):705.

11. [11]

    KIEFFER J C.A simple proof of the Moy-Perez generalization of the Shannon-McMillan theorem[J].Pacific J Math, 1974,51:203.

12. [12]

    OREY S.On the Shannon-Perez-Moy theorem[J].Contemp Math,1985,41:319.

13. [13]

    孙传友.现代检测技术及仪表[M].北京:高等教育出版社,2006.
    

Proportional views