Necessary Conditions for the Realizability of n-Port Resistive Networks with more than (n + 1) Nodes

Swaminathan, K.; Frisch, I.

doi:10.1109/tct.1965.1082483

Cited by 16 publications

(12 citation statements)

References 5 publications

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“…It should be noted that with any other row of Y k + 1 denoting the newly added port, a similar result can be obtained [47].…”

Section: Definitionsupporting

confidence: 66%

“…Lemma 3.4: [25] Consider two real symmetric matrices Y k and Y k+1 , which satisfy the relationship (2). Then Y k can be realized as a k-port resistive network N k if and only if Y k+1 is realizable as a (k + 1)-port resistive network N k+1 .…”

Section: A Basic Concepts and Resultsmentioning

confidence: 99%

“…The realization problem for the n-port resistive network with n + 1 vertices has been solved [42,43,36,37]. The problem with n + p vertices where p > 1 was studied in [44][45][46][47]. However, this problem has not been completely solved.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Lemma 3 (Swaminathan et al [47]) If the (k + 1) th row and column of Y k + 1 correspond to the new port of N k + 1 and the other correspondences are unchanged, then the relationship between Y k and Y k + 1 may be written as…”

Section: Definitionmentioning

confidence: 99%

“…Lemma 4 (Swaminathan et al [47]) Consider two real symmetric matrices Y k and Y k + 1 , which satisfy the relationship (2). If Y k + 1 is the admittance matrix of a (k + 1)-port resistive network, then Y k is the admittance matrix of a k-port resistive network.…”

Section: Definitionmentioning

confidence: 99%

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Realizability of n-port resistive networks with 2n terminals

Chen¹,

Wang

Li³

et al. 2013

2013 9th Asian Control Conference (ASCC)

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This paper is concerned with the realizability problem of n-port resistive networks that contain 2n terminals. A necessary and sufficient condition for any real symmetric matrix to be realizable as the admittance of an n-port resistive network containing 2n terminals is obtained. This condition is based on the existence of a parameter matrix. Furthermore, the values of the elements are expressed in terms of the entries of the admittance matrix and the parameter matrix. Finally, a numerical example is used to illustrate the results.

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“…It should be noted that with any other row of Y k + 1 denoting the newly added port, a similar result can be obtained [47].…”

Section: Definitionsupporting

confidence: 66%

Section: A Basic Concepts and Resultsmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

Section: Definitionmentioning

confidence: 99%

Section: Definitionmentioning

confidence: 99%

See 3 more Smart Citations

Realizability of n-port resistive networks with 2n terminals

Chen¹,

Wang

Li³

et al. 2013

2013 9th Asian Control Conference (ASCC)

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Synthesis of n‐port resistive networks containing 2n terminals

Chen

Wang

et al. 2013

Circuit Theory & Apps

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This paper is concerned with the realizability problem of n‐port resistive networks that contain 2n terminals. A necessary and sufficient condition for any real symmetric matrix to be realizable as the admittance of an n‐port resistive network containing 2n terminals is obtained. This condition is based on the existence of a parameter matrix. Furthermore, the values of the elements are expressed in terms of the entries of the admittance matrix and the parameter matrix. Finally, a numerical example is used to illustrate the results. Copyright © 2013 John Wiley & Sons, Ltd.

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U.S.A. National Assembly, Committee Report, Fifteenth URSI General Munich, September 1966: Commission 6, Radio Waves and Transmission OF Information; Progress. in Radio Waves and Transmission of

Darlington¹,

Felsen²,

Siegel³

et al. 1966

Radio Science

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Many important papers have appeared; only a few can be given here. In cylindrical antenna theory, accurate current and field distributions were found for isolated [King and Wu, 1965] and coupled [King and Sandler, 1964] elements. A fine summary of broadband antennas by Jordan was referenced in recent studies of log‐spiral antennas [Dyson, 1965]. New structures included the wire‐grid HF Luneburg lens [Sharp, 1965] and double‐helix antennas [Ehrenspeck, 1965]. Advances in large quasi‐optical antennas included an analysis of focal fields and line source feeds for spherical reflectors [Schell, 1963]; analysis of reflector‐subreflector systems such as Cassegrain and Gregorian types [Morgan, 1964]; and a book treating aperture antennas and including many references [Hansen, 1964]. Progress in optical scanning systems included geodesic Luneburg lenses [Ruddock, Ryan, and Walter, 1964], bootlace lenses [Kales and Brown 1965], and parallel‐plate scanners [Rotman and Turner, 1963]. Electronic scanning of phased arrays received major attention. Mutual impedance changes With scan angles were analyzed by the impedance crater concept [Rhodes, 1964]; also techniques for compensating for these changes were developed [Hannan, Lerner, and Knittel, 1965). Important progress has been made in digital phase shifters. The diode type [White, 1965] has recently been supplemented by latching types employing ferrite cores [Whicker and Jones, 1965]. Adaptive array systems were covered in a special issue [IEEE, 1964]; of particular interest are the Gruenberg paper on retrodirective systems and the Skolnik and King paper on selfsteering arrays. The annular slot array has been developed for monopulse [Kelly and Goebels, 1964]. Nonuniformly spaced array sidelobes have been bounded by a probabilistic approach [Lo, 1964]. Finally, the important but long unsolved problem of an optimum directivity source with supergain ratio constraint was formally solved [Rhodes, 1963].

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Necessary Conditions for the Realizability of n-Port Resistive Networks with more than (n + 1) Nodes

Cited by 16 publications

References 5 publications

Realizability of n-port resistive networks with 2n terminals

Realizability of n-port resistive networks with 2n terminals

Synthesis of n‐port resistive networks containing 2n terminals

U.S.A. National Assembly, Committee Report, Fifteenth URSI General Munich, September 1966: Commission 6, Radio Waves and Transmission OF Information; Progress. in Radio Waves and Transmission of

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