Difference equation sensor characterization algorithms for two-thermocouple probes

Seán McLoone, Peter Hung, George Irwin, Robert Kee

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


The characterization of thermocouple sensors for temperature measurement in variable flow environments is a challenging problem. In this paper, novel difference equation-based algorithms are presented that allow in situ characterization of temperature measurement probes consisting of two-thermocouple sensors with differing time constants. Linear and non-linear least squares formulations of the characterization problem are introduced and compared in terms of their computational complexity, robustness to noise and statistical properties. With the aid of this analysis, least squares optimization procedures that yield unbiased estimates are identified. The main contribution of the paper is the development of a linear two-parameter generalized total least squares formulation of the sensor characterization problem. Monte-Carlo simulation results are used to support the analysis.

Original languageEnglish
Pages (from-to)173-199
Number of pages27
JournalTransactions of the Institute of Measurement and Control
Issue number2
Publication statusPublished - 01 Jun 2008

ASJC Scopus subject areas

  • Instrumentation


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