Vol. 109
Latest Volume
All Volumes
PIER 180 [2024] PIER 179 [2024] PIER 178 [2023] PIER 177 [2023] PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
2010-10-25
Measurements of Planar Microwave Circuits Using an Improved Trl Calibration Method
By
Progress In Electromagnetics Research, Vol. 109, 263-278, 2010
Abstract
In this paper, an improved TRL (Thru-Reflect-Line) calibration method is presented. This method is based on ten-term error model of a two-port vector network analyzer(VNA) measurement system. Eight error terms induced by fixtures as well as two leakage errors are derived directly from the S parameters of the calibration standards measured from the coaxial reference plane without converting S parameters to T parameters. To validate our algorithm, a microstrip device with a via hole and a coplanar waveguide transmission line are fabricated and calibrated using the present TRL calibration method and Engen's algorithm, respectively. The magnitudes and phases of S11 and S21 of the devices are compared. The consistency of the de-embedded results with those calibrated by Engen's TRL algorithm illustrates the validity of the TRL algorithm in this paper.
Citation
Yu Liu, Ling Tong, Yu Tian, and Bo Gao, "Measurements of Planar Microwave Circuits Using an Improved Trl Calibration Method," Progress In Electromagnetics Research, Vol. 109, 263-278, 2010.
doi:10.2528/PIER10072113
References

1. Lin, D.-B., I.-T. Tang, and Y.-Y. Tang, "Flower-like CPW-FED monopole antenna for quad-band operation of mobile handsets," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 17-18, 2271-2278, 2009.

2. Adam, H., A. Ismail, M. A. Mahdi, M. S. Razalli, A. R. H. Alhawari, and B. K. Esfeh, "X-band miniaturized wideband band-pass filter utilizing multilayered microstrip hairpin resonator," Progress In Electromagnetics Research, Vol. 93, 177-188, 2009.

3. Wang, Z., Q. Lai, R.-M. Xu, B. Yan, W. Lin, and Y. Guo, "A Millimeter-wave ultra-wideband four-way switch filter module based on novel three-line microstrip structure band-pass filters," Progress In Electromagnetics Research, Vol. 94, 297-309, 2009.

4. Razalli, M. S., A. Ismail, M. A. Mahdi, and M. N. bin Hamidon, "Novel compact microstrip ultra-wideband filter utilizing short-circuited stubs with less vias," Progress In Electromagnetics Research, Vol. 88, 91-104, 2008.

5. Zhao, M., Y. Fan, D. Wu, and J. Zhan, "The investigation of w band microstrip integrated high order frequency multiplier based on the nonlinear model of avalanche diode," Progress In Electromagnetics Research, Vol. 85, 439-453, 2008.

6. Agilent Technologies "Applying the 8510 TRL calibration for non-coaxial measurements,", May 2001.

7. Engen, G. F. and C. A. Hoer, "Thru-reflect-line: An improved technique for calibrating the dual six-port automatic network analyzer," IEEE Transactions on Microwave Theory and Techniques, Vol. 27, No. 12, 987-993, December 1979.

8. Marks, R. B., "A multiline method of network analyzer calibration," IEEE Transactions on Microwave Theory and Techniques, Vol. 39, No. 7, 1205-1215, 1991.

9. DeGroot, D. C., J. A. Jargon, and R. B. Marks, "Multiline TRL revealed," 60th ARFTG Conference Digest, 131-155, 2002.

10. López-González, F. J., E. Márquez-Segura, and C. Camacho-Peñalosa, "Robust statistical multi-line TRL calibration approach for microwave device characterization," IEEE MELECON, Vol. 187, No. 190, May 2006.

11. Kaiser, R. F. and D. F. Williams, "Sources of error in coplanar-waveguide TRL calibrations," 54th ARFTG Conference Digest, December 1999.

12. Agilent Technologies "In-fixture microstrip device measurements using TRL* calibration,", 1994.

13. Ferrero, A. and U. Pisani, "Two-port network analyzer calibration using an unknown `thru'," IEEE Microwave and Guided Wave Letters, Vol. 2, No. 12, 505-507, 1992.

14. Anritsu Application Note, 3680 Series Universal Test Fixutures, , 11410-00024.

15. Anagnostou, D. E., et al., "A 0-55-GHz coplanar waveguide to coplanar strip transition," IEEE Transactions on Microwave Theory and Techniques, Vol. 56, No. 1, 1-6, 2008.

16. Ponchak, G. E., "Experimental analysis of reduced-sized coplanar waveguide transmission lines," IEEE MTT-S International Microwave Symposium Digest, Vol. 2, 971-974, 2003.

17. Li, Q. and K. L. Melde, "The impact of on-wafer calibration method on the measured results of coplanar waveguide circuits," IEEE Transactions on Advanced Packaging, Vol. 33, No. 1, 285-292, 2010.