The reciprocity to include active circuits is quite new. This article intends to generalize the subject of covering active circuits with all kinds of dependent sources and I/O ports. First, we start by specifying how this reciprocity responds with a variety of component representations, for example, impedances and admittances. The purpose is to construct a reciprocal for any active circuit so that it produces the same transfer function when the input and output ports are swapped. There is no limit on the number of output ports in this development, but for multiple input ports, this reciprocity works only when the input sources are related. This presentation does not address general multi-ports cases, however. One way to deal with the issue is to consider I/Os pair by pair and then use superposition to manage the combinations.
References
[1]
Pavan, S. and Temes, G.C. (2023) Reciprocity and Inter-Reciprocity: A Tutorial—Part II: Linear Periodically Time-Varying Networks. IEEE Transactions on Circuits and Systems I: Regular Papers, 70, 3422-3435. https://doi.org/10.1109/tcsi.2023.3294298
[2]
McIsaac, P.R. (1979) A General Reciprocity Theorem. IEEE Transactions on Microwave Theory and Techniques, 27, 340-342. https://doi.org/10.1109/tmtt.1979.1129626
[3]
Beck, M. and Sanyal, R. (2018) Combinatorial Reciprocity Theorems. American Mathematical Society. https://doi.org/10.1090/gsm/195
[4]
Misiakos, K. and Lindholm, F.A. (1985) Generalized Reciprocity Theorem for Semiconductor Devices. Journal of Applied Physics, 58, 4743-4744. https://doi.org/10.1063/1.336226
[5]
Pederson, D.O. (1966) Introduction to Electronic Systems, Circuits, and Devices. McGraw-Hill.
Bhattacharyya, B. and Swamy, M. (1971) Network Transposition and Its Application in Synthesis. IEEE Transactions on Circuit Theory, 18, 394-397. https://doi.org/10.1109/tct.1971.1083285
[8]
Swamy, M.N.S., Bhushan, C. and Bhattacharyya, B.B. (1976) Generalized Dual Transposition and Its Applications. Journal of the Franklin Institute, 301, 465-476. https://doi.org/10.1016/0016-0032(76)90114-9
[9]
Iri, M. and Recski, A. (1980) What Does Duality Really Mean? International Journal of Circuit Theory and Applications, 8, 317-324. https://doi.org/10.1002/cta.4490080311
[10]
Filaretov, V. and Gorshkov, K. (2020) Efficient Generation of Compact Symbolic Network Functions in a Nested Rational Form. International Journal of Circuit Theory and Applications, 48, 1032-1056. https://doi.org/10.1002/cta.2789
[11]
Hashemian, R. (2021). Application of Nullors in Symbolic Single Port Transfer Functions Using Admittance Method. 2021 IEEE International Symposium on Circuits and Systems (ISCAS), Daegu, 22-28 May 2021, 1-5. https://doi.org/10.1109/iscas51556.2021.9401272
[12]
Hashemian, R. (2022) A Comprehensive and Unified Procedure for Symbolic Analysis of Analog Circuits. IEEE Transactions on Circuits and Systems I: Regular Papers, 69, 2819-2831. https://doi.org/10.1109/tcsi.2022.3165152
[13]
Hashemian, R. (2024) Extended “A Comprehensive and Unified Procedure for Symbolic Analysis of Analog Circuits”. IEEE Transactions on Circuits and Systems II: Express Briefs, 71, 503-507. https://doi.org/10.1109/tcsii.2022.3210235
[14]
Tlelo-Cuautle, E., Sánchez-López, C. and Moro-Frías, D. (2010) Symbolic Analysis of (MO)(I)CCI(II)(III)-Based Analog Circuits. International Journal of Circuit Theory and Applications, 38, 649-659. https://doi.org/10.1002/cta.582
