A Combined TD–FD Method for Enhanced Reflectometry Measurements in Liquid Quality Monitoring

Measurement and control of the dielectric parameters of liquids play a major role in industrial quality-control applications. Although several techniques are currently available to this aim, none of them is simultaneously accurate, cost-effective, and reasonably quick. On the other hand, reflectometry has become a very attractive method for monitoring applications, mostly thanks to its accuracy and flexibility. In this paper, a combined method based on time-domain reflectometry (TDR) and frequency-domain (FD) analysis is presented: the aim is to substantially improve the measurement accuracy of the dielectric parameters of liquids. Starting with typical TDR measurements, the associated FD evaluation of the dielectric parameters is considerably enhanced through the combined effect of the following: 1) specific data-processing techniques; 2) the implementation of a calibration procedure; and 3) the final modeling and minimization routine. Furthermore, to definitively assess the proposed combined procedure, results are compared with measurements directly performed in the FD through a vector network analyzer (VNA). The ultimate goal of the work is to pave the way for the adoption of inexpensive and portable TDR devices in practical industrial monitoring applications.

[1]  Vincent P. Drnevich,et al.  Theoretical model of a multisection time domain reflectometry measurement system , 1999 .

[2]  Timo J. Heimovaara,et al.  Frequency domain analysis of time domain reflectometry waveforms: 1. Measurement of the complex dielectric permittivity of soils , 1994 .

[3]  Dani Or,et al.  Frequency analysis of time-domain reflectometry (TDR) with application to dielectric spectroscopy of soil constituents , 1999 .

[4]  Kjetil Folgerø,et al.  Dielectric measurements of gas hydrate formation in water-in-oil emulsions using open-ended coaxial probes , 1997 .

[5]  Luciano Tarricone,et al.  Uncertainty Estimation in Simultaneous Measurements of Levels and Permittivities of Liquids Using TDR Technique , 2008, IEEE Transactions on Instrumentation and Measurement.

[6]  T. J. Heimovaara,et al.  Frequency dependent dielectric permittivity 0 to 1 Ghz: Time Domain Reflectometry measurements compared with Frequency Domain Network Analyser measurements , 1996 .

[7]  L. Catarinucci,et al.  A TD-FD Combined Method for Enhancing Reflectometry Measurements in Liquid Quality Monitoring , 2007, 2007 IEEE Instrumentation & Measurement Technology Conference IMTC 2007.

[8]  F. Harris On the use of windows for harmonic analysis with the discrete Fourier transform , 1978, Proceedings of the IEEE.

[9]  A. M. Nicolson Forming the fast Fourier transform of a step response in time-domain metrology , 1973 .

[10]  Luca Catarinucci,et al.  A frequency-domain method for extending TDR performance in quality determination of fluids , 2007 .

[11]  Kjetil Folgerø,et al.  Bilinear calibration of coaxial transmission/reflection cells for permittivity measurement of low-loss liquids , 1996 .

[12]  Timo J. Heimovaara,et al.  Dielectric spectroscopy by inverse modelling of time domain reflectometry wave forms. , 1996 .

[13]  Scott B. Jones,et al.  Frequency Domain Analysis for Extending Time Domain Reflectometry Water Content Measurement in Highly Saline Soils , 2004 .

[14]  M. Gemert,et al.  Evaluation of dielectric permittivity and conductivity by time domain spectroscopy. Mathematical analysis of Fellner‐Feldegg's thin cell method , 1974 .

[15]  Willem Bouten,et al.  Information content of time domain reflectometry waveforms , 2001 .

[16]  Luciano Tarricone,et al.  A TDR Method for Real-Time Monitoring of Liquids , 2007, IEEE Transactions on Instrumentation and Measurement.

[17]  Willem Bouten,et al.  Accuracy of frequency domain analysis scenarios for the determination of complex dielectric permittivity , 2004 .

[18]  J. Whinnery,et al.  Coaxial-Line Discontinuities , 1944, Proceedings of the IRE.

[19]  J. Letosa,et al.  Direct deconvolution signal in time domain reflectometry , 1995 .

[20]  R. Nozaki,et al.  Broadband complex permittivity measurements by time-domain spectroscopy , 1990 .

[21]  J. L. Arrúe,et al.  TDR application for automated water level measurement from Mariotte reservoirs in tension disc infiltrometers , 2004 .

[22]  J. A. Pearce,et al.  Foundations And Industrial Applications Of Microwaves And Radio Frequency Fields. Physical And Chemical Processes. , 1998, Proceedings of the 6th International Conference on Optimization of Electrical and Electronic Equipments.

[23]  Tore Tjomsland,et al.  A broad-band and high-sensitivity dielectric spectroscopy measurement system for quality determination of low-permittivity fluids , 1995 .