IEEE Transactions on Circuit Theory

Issue 3 • May 1973

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Displaying Results 1 - 25 of 34
  • Editorial [Intro to the Special Issue on Large-scale Networks]

    Publication Year: 1973, Page(s): 185
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    Freely Available from IEEE
  • Large-scale dynamical systems: State equations, Lipschitz conditions, and linearization

    Publication Year: 1973, Page(s):193 - 202
    Cited by:  Papers (14)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (978 KB)

    A large-scale dynamical system is given in a block-diagram form. The block diagram is assumed to be composed of blocks (subsystems), each characterized by a state equation and an output equation in the normal formdot{x} =f(x, u, t), y = g(x, u, t). Investigations are made on the effect of subsystem characteristics and their interconnections upon properties of the entire system. The firs... View full abstract»

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  • A graph optimization-synthesis formulation for cable-communications systems

    Publication Year: 1973, Page(s):252 - 255
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (524 KB)

    The cable-communications systems,m-center, and minimum spanning-tree problems are contained within a general graph optimization-synthesis problem. In the minimum spanningtree problem, a decomposition technique is used in constructing minimal-length trees. This problem is related to them-center problem where the total number of vertices is estimated from the length of the span... View full abstract»

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  • Synthesis of n-terminal RC networks

    Publication Year: 1973, Page(s):272 - 279
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (693 KB)

    A new synthesis technique has been evolved and a definite realization procedure has been given for a general class of transformerlessn-terminal RC networks. For the applicability of this technique, necessary and sufficient conditions have been stated and the relevant theorems proved. The technique utilizes the method of parallel decomposition and application of successive generalized st... View full abstract»

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  • Rapid design procedures for the Brune and Bott-Duffin circuits

    Publication Year: 1973, Page(s):279 - 284
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (556 KB)

    Assuming that a driving-point impedanceF(s)=N(s)/D(s)is known by the coefficients of the rational function, both polynomials of the same degree and normalized, theA-type (resistance series) and/or theB-type (resistance parallel) Brune circuit can rapidly and with high accuracy be designed using the results of evaluatingN(jomega)andD(jomeg... View full abstract»

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  • Design of active filters with zero passive Q-sensitivity

    Publication Year: 1973, Page(s):289 - 294
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (542 KB)

    A new biquadratic active filter configuration is described which requires only two resistors, two capacitors, and two finite gain summing amplifiers. The circuit is shown to have zeroQ-sensitivity to the resistors and capacitors and extremely lowQ- sensitivity to the amplifiers.Other sensitivities of interest are also shown to be low. Practical realizations using one operatio... View full abstract»

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  • On the analysis and realization of cascaded transmission-line networks in the time domain

    Publication Year: 1973, Page(s):301 - 307
    Cited by:  Papers (12)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (658 KB)

    The time-domain analysis and realization of cascaded, uniform, lossless transmission-line networks are considered. A Hessenberg matrixLis defined in terms of which the reflected impulse response and the transmitted impulse response are expressed in closed form. A realization scheme is presented for determining a network whose reflected impulse response is a specified sequence of impulse... View full abstract»

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  • Transformerless realization of biquadratic driving-point immittance functions

    Publication Year: 1973, Page(s):314 - 316
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (347 KB)

    First Page of the Article
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  • A note on computer-aided synthesis of resistive n-ports

    Publication Year: 1973, Page(s):319 - 321
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (381 KB)

    A technique of synthesizing a resistiven-port is described. The port structure is first determined using some necessary conditions. Branch conductances are obtained by solving a system of equations on a computer. View full abstract»

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  • The angle property of positive real functions simply derived

    Publication Year: 1973, Page(s):327 - 328
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (284 KB)

    The angle property of positive real (rational) functionsZ(s), namely, that|arg s | geqq |arg Z(s)|in the right half of thes-plane, can be demonstrated very simply by an examination of the imaginary parts of the functionsln(s/Z(s))andln (sZ(s)), i.e.,arg s mp arg Z(s). In particular, on a contour enclosing the entire first quadrant,<... View full abstract»

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  • The maximum power transfer theorem for n-ports

    Publication Year: 1973, Page(s):328 - 330
    Cited by:  Papers (21)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (403 KB)

    The maximum power transfer theorem is proved by an elementary and simple method. The class of all impedance matrices which achieve maximum power transfer is completely described. Cases whereZ_{0}+Z_{0^ast}is not positive definite are completely discussed. View full abstract»

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  • A matrix decomposition-reduction procedure for the pole-zero calculation of transfer functions

    Publication Year: 1973, Page(s):262 - 271
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1024 KB)

    This paper is concerned with eigenvalue approaches for the pole-zero calculations of the transfer function of a linear timeinvariant network. Combinatorial and sparse-matrix algorithms are fully used to increase numerical accuracy and computational speed in the two-sets-of-eigenvalues approach. Some matrix decompositionreduction algorithms are presented to simplify and stabilize the numerical eige... View full abstract»

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  • The operation and control of large interconnected power systems

    Publication Year: 1973, Page(s):212 - 222
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1136 KB)

    The theory of tearing, also known as diakoptics, is applied to the problem of economy-security control of generation in power pools and in superpools. Power pools consist of individual utilities that join together to produce an optimal allocation of generation subject to the security constraints on the system. There are at present a number of power pools in the United States. Superpools consist of... View full abstract»

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  • Upper bounds on fanout in connection networks

    Publication Year: 1973, Page(s):222 - 229
    Cited by:  Papers (3)  |  Patents (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (912 KB)

    Upper bounds, some of which are shown to be least upper bounds, are established on the number of output stations, and, hence, the number of output terminals in multistage networks realizing full fanout connection assignments. Networks meeting these conditions are shown to be either rearrangeable or nonblocking and to have less switches than the product of the input and output terminals for a suffi... View full abstract»

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  • The Converse Problems of Network Solution Matrices

    Publication Year: 1973, Page(s):316 - 319
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (488 KB)

    The converse problems of the network solution matrices are considered. The solutions found bear a remarkable similarity to the original solution matrices. The stepwise solution and its converse used alternately provide a useful procedure for conversational-mode analysis of circuits. Use is also made of the results to give a direct method in deriving the partial derivatives of the solution matrices... View full abstract»

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  • Tunable RC-active filters using periodically switched conductances

    Publication Year: 1973, Page(s):294 - 301
    Cited by:  Papers (11)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (880 KB)

    The realization of electronically tunable RC-active filters is achieved by the use of periodically switched conductances within the filter. A method of analysis of RC networks containing periodically switched conductances is given, which is based on the impulse response of the network at a capacitance. The use of periodically switched conductances to tune RC-active filters has several practical ad... View full abstract»

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  • The precise theoretical limits of causal Darlington synthesis

    Publication Year: 1973, Page(s): 327
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (152 KB)

    First Page of the Article
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  • A Boolean algebra method for computing the terminal reliability in a communication network

    Publication Year: 1973, Page(s):203 - 211
    Cited by:  Papers (127)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (896 KB)

    Given the set of all simple paths between two nodes in a network, the terminal reliability can be symbolically computed by transforming a Boolean sum of products into an equivalent form in which all terms are disjoint. This new approach seems to be promising in respect to existing 4[ 6 methods both for the exact and for the approximate computation of the terminal reliability. View full abstract»

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  • An equivalence between fast periodic-switched systems and time-invariant systems

    Publication Year: 1973, Page(s):324 - 325
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (232 KB)

    It is shown that a certain class of linear systems with constant parameters and periodically operated switches can be approximated by a linear time-invariant system provided that the switching frequency is much greater than the magnitude of the largest natural frequency of the linear time-invariant system. Furthermore, a special type of switching allows the linear time-invariant system to be frequ... View full abstract»

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  • Some properties of the integrals of even and odd parts of Hurwitz polynomials

    Publication Year: 1973, Page(s):312 - 314
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (384 KB)

    Given the zeros of the even or the odd parts of Hurwitz polynomials (HP), conditions have been established such that their integrals are suitable as the odd or the even parts of other HP's. Testing procedures, including simple inspection tests, have been enunciated for both cases. The criteria developed can be used to generate positive real functions (prf) of higher order. View full abstract»

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  • Discrete optimization and the planning of electric power networks

    Publication Year: 1973, Page(s):230 - 238
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (952 KB)

    Power system transmission planning is expressed as a large finite Markovian sequential process over time involving 1) a known planning horizon divided into finite number of stages; 2) a large number of alternative additions (type, size, and place of new facilities) at each stage; 3) analysis and criteria for evaluating network acceptance (performance, reliability, security, cost, etc.) for each al... View full abstract»

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  • Network sensitivity and noise analysis simplified

    Publication Year: 1973, Page(s):285 - 288
    Cited by:  Papers (52)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (464 KB)

    Formulas are easily derived for computing the sensitivity of all the response variables of a network with respect to variation of a single parameter, and the computations can be carried out very efficiently. The converse problem of computing the sensitivity of a single response variable with respect to variations of several parameters, though apparently more difficult, has recently been solved wit... View full abstract»

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  • Piecewise method for large-scale electrical networks

    Publication Year: 1973, Page(s):255 - 258
    Cited by:  Papers (9)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (504 KB)

    A new method for diakoptics, the piecewise method for large-scale networks, is presented. While the subject of diakoptics is well known, it treats only networks described by either impedance or admittance matrix. Using the sparse-matrix approach, the new method treats networks whose constitutive relationships are not restricted to impedances or admittances. Finally, the previously known techniques... View full abstract»

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  • Optimal source location to feed a lossy distribution tree

    Publication Year: 1973, Page(s):246 - 250
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (584 KB)

    Given a large but finite tree network designed to distribute a commodity to some or all of its nodes, the lossy model takes into account the attenuation of the flow through the branches of the network. The capacity of the source needed to feed the network depends on the node to which it is attached. In a finite network, there must be at least one node where the required source capacity is not high... View full abstract»

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  • Design of Digital Filters and Optimum Waveforms

    Publication Year: 1973, Page(s): 330
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (120 KB)

    First Page of the Article
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