Generalized Time- and Transfer-Constant Circuit Analysis
The generalized method of time and transfer constants is introduced. It can be used to determine the transfer function to the desired level of accuracy in terms of time and transfer constants of first-order systems using exclusively low frequency calculations. This method can be used to determine the poles and zeros of circuits with both inductors and capacitors. An inductive proof of this generalized method is given which subsumes special cases, such as methods of zero- and infinite-value time constants. Several important and useful corollaries of this method are discussed and several examples are analyzed.
© 2010 IEEE. Manuscript received February 17, 2009; revised May 20, 2009; accepted July 08, 2009. First published November 24, 2009; current version published June 09, 2010. This paper was recommended by Associate Editor W. A. Serdijn. The author would like to thank T. Arai, J. Arroyo, A. Babakhani, F. Bohn, S. Bowers, J. Chen, E. Keehr, A. Komijani, S. Kosai, S. Mehta, A. Natarajan, K. Sengupta, C. Sidiris, H. Wang, Y. J. Wang, and J. Yoo formerly or currently of Caltech for valuable feedback on the manuscript. The author would also like to thank the anonymous reviewers as well as Prof. B. Murmann of Stanford University and Prof. H. Hashemi of USC for their constructive feedback on the manuscript. Last, but not least, the author is particularly indebted to the students in Caltech's EE114 series who helped improve this material substantially over more than a decade by asking great questions and refusing to accept incomplete answers.
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