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16 - Single frequency n-port geometry

Published online by Cambridge University Press:  05 November 2015

Dante C. Youla
Affiliation:
New York University Polytechnic Institute of Engineering
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Publisher: Cambridge University Press
Print publication year: 2015

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References

[1] Schaug-Petterson, T., Lossless Transformations of Linear Passive Networks, Norwegian Defence Research Establishment, 1961.
[2] MacDuffee, C.C., Theory of Matrices, Chelsea, New York, 1946.Google Scholar
[3] Titchmarsh, E.C., The Theory of Functions, Oxford University Press, London, 1939.Google Scholar
[4] Siegel, C.L., “Symplectic geometry,” American J. Math., 65, 1–86, January 1943.CrossRefGoogle Scholar
[5] Youla, D.C., “Some results in the ‘spot’ frequency theory of linear noiseless time-invariant n-ports,” presented at the 1960 NEREM Symposium, Boston.
[6] Youla, D.C., Kaplan, L.J., and Stork, D.J.R., “The Analytic Foundations of Linear Time- Invariant n-Ports,” PIBMRI 1028-62, May 1962.
[7] Horn, A. and Johnson, R., Matrix Analysis, Second Edition, Cambridge University Press, Cambridge, 2013.Google Scholar
[8] Youla, D.C., “A normal form for a matrix under the unitary congruence group,” Canadian J. Math., 13, 694–704, 1961.CrossRefGoogle Scholar
[9] Carlin, H.J. and Youla, D.C., “Network synthesis with negative resistors,” Proc, IRE. 49, 907–920, May 1961,CrossRefGoogle Scholar
[10] Turnbull, H.W., The Theory of Determinants, Matrices and Invariants, Third Edition, Dover Publications, N.Y., 1960.Google Scholar
[11] Haus, H.A. and Adler, R.B., Circuit Theory of Linear Noisy Networks, JohnWiley and Sons, Inc., New York, 1959.Google Scholar
[12] Bosma, H., On the Theory of Linear Noisy Systems, 1967, Thesis (source unknown).

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