Summary
As an extension of the concept of reciprocity a new concept calledinterreciprocity is introduced. The latter concept applies to both reciprocal and non-reciprocal structures. On behalf of the use of inter-reciprocity for electrical network investigations a unique topological network operation, calledtransposition, has been devised in such a way that a network and its transpose are inter-reeiprocal. This transposition is applied in a number of direct calculations as well as in considerations of a more general character concerning transmission and noise properties of gyrator, triode and transistor networks.
References
Rayleigh, Lord, Theory of sound Vol. I, Mac Millan and Co., London 1924, Art 108.
Tellegen, B. D. H., Philips Res. Rep.7 (1952) 259.
Bordewijk, J. L., PTT-bedrijf3 (1950) 75.
Bordewijk, J. L., Tijdschrift v. h. Ned. Radiogenootschap16 (1951) 137.
Zurmühl, R., Matrizen, Springer Verlag, Berlin 1950, 427 blz.
Tellegen, B. D. H., Tijdschrift v. h. Ned. Radiogenootschap13 (1948) 73.
Tellegen, B. D. H., Philips Res. Rep.3 (1948) 81.
Tellegen, B. D. H., Theorie der electrische netwerken, Noordhof, Groningen 1951.
Wallace, R. L. and G. Raisbeck, Bell Syst. Techn. J.30 (1951) 381.
Peterson, L. C., Bell Syst. Techn. J.27 (1948) 593.
Keen, A. W., Wireless Engr30 (1953) 238.
Linvill, J. G., Proc. Inst. Radio Engrs.41 (1953) 315.
Winkel, J. Te, Philips Res. Rep.5 (1950) 1.
Bode, H. W., Network analysis and feedback amplifier design, D. v. Nostrand, New York 1946.
Octrooiaanvrage 163474.
Weel, A. v., J. Brit. Instn. Radio Engrs13 (1953) 315.
Tasny-Tschiassny, L., Proc. Inst. Elect. Engrs Monogr. 1950 nr 60.
Bordewijk, J. L., Tijdschrift v. h. Ned. Radiogenootschap17 (1952) 261.
Williams, F. C., J. Instn Elect. Engrs81 (1937) 751.
Ornstein, L. S., Z. Phys.41 (1927) 848.
Rice, S. O., Bell. Syst. Tech. J.23 (1944) 282;24 (1945) 46.
Bordewijk, J. L., PTT-bedrijf2 (1948/49) 33, 79.
Mac Donald, D. K. C., Phil. Mag.35 (1944) 386.
Montgomery, H. C., Proc. Inst. Radio Engrs40 (1952) 1461.
Lawson and Uhlenbach, Treshold signals, Mac Graw Hill, New York 1950.
Fränz, K., Hochfrequenztechn. u. Elektroakust.59 (1942) 105.
Friis, H. T., Proc. Inst. Radio Engrs32 (1944) 419.
Becking, A. G. Th., H. Groendijk and K. S. Knol, Philips Res. Rep.10 (1955) 349.
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Bordewijk, J.L. Inter-reciprocity applied to electrical networks. Appl. Sci. Res. 6, 1–74 (1957). https://doi.org/10.1007/BF02410413
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DOI: https://doi.org/10.1007/BF02410413