Extrema of Two-Port Network Transducer Power Gain and Voltage Gain Under Varying Port Terminations: Semi-Analytical Method and Application to Biotelemetry System
Keywords:
Sensitivity analysis, tolerance analysis, transducer power gain, two-port networks, voltage gainAbstract
Analysis of the structure of the level sets of transducer power gain and voltage gain of a two-port network enables a semi-analytical method for finding the extrema these performance indicators as the port terminations vary in bounded rectangles in the complex plane. In particular, we show that the extrema are necessarily attained in small-dimensional subsets of the given rectangles. This provides efficient means to assess the impact of variability in the port terminations numerically. As an example, we study how variability in the port terminations affects the performance of a biotelemetry system composed of magnetically coupled small loops with highly sensitive impedance matching properties.
Downloads
References
J. Kimionis, M. Isakov, B. S. Koh, A. Georgiadis, and M. M. Tentzeris, “3D-printed origami packaging with inkjet-printed antennas for RF harvesting sensors,” IEEE Trans. Microw. Theory Techn., vol. 63, no. 12, pp. 4521-4532, Dec. 2015.
M. Zargham and P. G. Gulak, “Fully integrated onchip coil in 0.13 µm CMOS for wireless power transfer through biological media,” IEEE Trans. Biomed. Circuits Syst., vol. 9, no. 2, pp. 259-271, Apr. 2015.
E. Moradi, S. Amendola, T. Björninen, L. Sydänheimo, J. M. Carmena, J. M. Rabaey, and L. Ukkonen, “Backscattering neural tags for wireless brain-machine interface system,” IEEE Trans. Antennas. Propag., vol. 62, no. 2, pp. 719-726, Dec. 2014.
M. Waqas, A. Khan, T. Björninen, L. Sydänheimo, and L. Ukkonen, “Characterization of two-turns external loop antenna with magnetic core for efficient wireless powering of cortical implants,” IEEE Antennas Wireless Propag. Lett., vol. 15, pp. 1410-1413, Dec. 2015.
G. I. Vasilescu and T. Redon, “A new approach to sensitivity computation of microwave circuits,” IEEE Intl. Symp. Circuits and Systems, Espoo, Finland, pp. 1167-1170, June 1988.
F. Güneş and S. Altunç, “Gain-sensitivity analysis for cascaded two-ports and application to distributed-parameter amplifiers,” Intl. J. RF and Microw. Computer-Aided Eng., vol. 14, no. 5, pp. 462-474, Sep. 2004.
W. Ciccognani, P. E. Longhi, S. Colangeli, and E. Limiti, “Constant mismatch circles and application to low-noise microwave amplifier design,” IEEE Trans. Microw. Theory Techn., vol. 61, no. 12, pp. 4154-4167, Dec. 2013.
P. Marietti, G. Scotti, A. Trifiletti, and G. Viviani, “Stability criterion for two-port network with input and output terminations varying in elliptic regions,” IEEE Trans. Microw. Theory Techn., vol. 54, no. 12, pp. 4049-4055, Dec. 2006.
T. Björninen, E. Moradi, M. Waqas, A. Khan, and L. Ukkonen, “Minimum of two-port voltage and power gain under varying terminations: Semianalytic method and application to biotelemetry systems,” URSI Commission B Intl. Symp. On Electromagnetic Theory, Espoo, Finland, pp. 869- 872, Aug. 2016.
Ralph S. Carson, High-Frequency Amplifiers. John Wiley & Sons, USA, 1975.
Patrick M. Fitzpatrick, Advanced Calculus. 2nd ed., Thomson Brooks/Cole, USA, 2006.
David M. Pozar, Microwave Engineering. 4th ed., John Wiley & Sons, Inc., USA, 2012.
