Calculating measurement uncertainty for complex-valued quantities

Measurement Science and Technology

Volumn 14, Issue 3, 2003, Pages 368-375

  Hall, B D ^a  

^a CALLAGHAN INNOVATION   (New Zealand)

Author keywords

Automatic differentiation; Error propagation; Software; Uncertainty calculation

Indexed keywords

CODES (SYMBOLS); COMPUTER SOFTWARE; STATISTICS;

AUTOMATIC DIFFERENTIATION;

COMPUTATIONAL METHODS;

MATHEMATICAL METHOD; MEASUREMENT ERROR; MEASUREMENT METHOD;

EID: 0037344781     PISSN: 09570233     EISSN: None     Source Type: Journal    
DOI: 10.1088/0957-0233/14/3/316     Document Type: Article

References (20)

1. ISO 1993 Guide to the Expression of Uncertainty in Measurement (Geneva: ISO Press)
2. Taylor B N and Kuyatt C E Guidelines for evaluating and expressing the uncertainty of NIST measurement results NIST Technical Note 1297
3. http://www.bipm.fr/enus/2mmittees/JCGM.shtml
4. Weise K 1987 IEEE Trans. Instrum. Meas. 36 642
5. Lira I 2002 Evaluating the Measurement Uncertainty: Fundamentals and Practical Guidance (Bristol: Institute of Physics Publishing)
6. Ridler N M and Salter M J 2001 Propagating S-parameter uncertainties to other measurement quantities ARFTG Conf. Digest 58th Mtg (San Diego, CA, Nov. 2001)
7. Rall L B 1986 The arithmetic of differentiation Math. Mag. 59 275
8. Rall L B and Corliss G F 1996 Computational Differentiation: Techniques Applications, and Tools ed M Berz, C H Bischof, G F Corliss and A Griewank (Philadelphia, PA: SIAM) p 1
9. Hall B D 2002 Calculating measurement uncertainty using automatic differentiation Meas. Sci. Technol. 13 421
10. Johnson R A and Wichern D W 1998 Applied Multivariate Statistical Analysis 4th edn (Englewood Cliffs, NJ: Prentice-Hall)
11. Ridler N M and Salter M J 2000 Evaluating and expressing uncertainty in complex S-parameter measurements ARFTG Conf. Digest 56th Mtg (Boulder. CO, Nov. 2000)
12. Spiegel M R 1974 Complex Variables (Schaum's Outline Series) (London: McGraw-Hill)
13. Sedgewick R 1999 Algorithms in C++, Parts 1-4: Fundamentals, Data Structure, Sorting, Searching (Reading, MA: Addison-Wesley)
14. Willink R and Hall B D 2002 A classical method for uncertainty analysis with multidimensional data Metrologia 39 361
15. Hall B D and Willink R 2001 Automatic uncertainty calculation for smart measurement systems Proc. 1st Sensors for Industry Conf. (Chicago, Nov. 2001) p 290
16. Hall B D 2002 A design pattern to encapsulate measurement uncertainty in reusable instrumentation modules Proc. Autotestcon'02 (Huntsville, AL, Oct. 2002) p 678
17. Hall B D 2002 A computational technique for evaluating and propagating the uncertainty of complex valued quantities ARFTG Conf. Digest 60th Mtg (Washington. DC, Dec. 2002) p 19
18. http://math.nist.gov/tnt
19. http://www.stlport.org/
20. http://www.irl.cri.nz/msl/mst