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Circuit Theory, IEEE Transactions on

Issue 1 • Date March 1967

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Displaying Results 1 - 25 of 33
  • Theory of Nonuniform RC Lines, Part I: Analytic Properties and Realizability Conditions in the Frequency Domain

    Publication Year: 1967 , Page(s): 2 - 12
    Cited by:  Papers (49)
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    Positive real functions and matrices of several variables arose in the problem of synthesizing a passive network composed of lumped elements with variable parameters. The importance of these functions and matrices has recently been emphasized by the considerable attention concerning their application to the problem of synthesizing passive networks composed of noncommensurable transmission lines and lumped elements. The problem of synthesizing positive real functions and matrices of several variables has been discussed by several authors. However, the problem has not been solved generally, except for the two-variable lossless case and the case where a two-variable positive real function is prescribed as a bilinear function with respect to one of the two variables. In this paper, a general solution to the above synthesis problem is presented. It is shown that an arbitrarily prescribed n \times n positive real matrix, symmetric or nonsymmetric, of several variables is realizable as the impedance or admittance matrix of a finite passive multivariable n-port. It is further shown that, if the matrix is symmetric, then it is realizable as a bilateral passive n -port. Related problems and discussions are also given. View full abstract»

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  • Theory of Nonuniform RC Lines, Part II: Analytic Properties in the Time Domain

    Publication Year: 1967 , Page(s): 13 - 20
    Cited by:  Papers (11)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (719 KB)  

    The time-domain behavior of the general nonuniform RC transmission line is presented. It is shown that the impulse response is a "totally positive" density function. The necessary and sufficient condition on a time function to be the impulse response of a nonuniform RC line is obtained. The general properties, including the bounds on the impulse response and its asymptotic behavior, are given. View full abstract»

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  • Sensitivity Analysis of Parasitic Effects in Resistance Terminated LC Two-Ports

    Publication Year: 1967 , Page(s): 21 - 25
    Cited by:  Papers (36)  |  Patents (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (567 KB)  

    Properties of classical sensitivity functions in resistance-terminated LC two-ports are examined and utilized to study the effects of element variations, incidental dissipation, and stray terminations on transmission characteristics. The results show that phase lag in such networks increases monotonically with the magnitude of any L or C as well as with frequency. Further, they enable the formulation of a number of bounds on errors in transmission characteristics induced by various parasitic phenomena, including the effects of nonuniformly distributed loss when inductors and capacitors have dissipation factors less than fixed constants \bar{d}_L . and \bar{d}_C , respectively. The bounds are invariant for all equivalent twoport realizations and demonstrate the limitations imposed on network sensitivity performance by design specifications. View full abstract»

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  • A Class of Realizable Maximally Flat Magnitude Driving-Point Functions

    Publication Year: 1967 , Page(s): 26 - 30
    Cited by:  Papers (3)
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    Maximally flat magnitude driving-point functions, in spite of easily visualized applications, appear to be less well known than the corresponding transfer functions of Butterworth and other types. This article describes a class of such maximally flat imittances of various order and demonstrates their positive real character. An application is mentioned in which the maximally flat impedance is used as an interstage to achieve a flat amplifier transfer impedance. View full abstract»

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  • Iterative Chebyshev Approximation Technique for Network Synthesis

    Publication Year: 1967 , Page(s): 31 - 37
    Cited by:  Papers (9)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (742 KB)  

    The techniques of mathematical approximation theory are applied to the weighted Chebyshev approximation of general transfer functions, as well as loss and phase characteristics. Various methods are shown for implementing the Remez algorithm for rational approximants, and extensions of the existing approximation theory are provided for functionals of rational functions. As a result, explicit expressions are given for the approximation of the modulus of a transfer function or of loss, both with prescribed or arbitrary attenuation poles. Formulas are also included for the phase and phase-delay. These design techniques have been successfully applied to the synthesis of equalizers and simulators for complex systems. A design example illustrates the application of the process to the design of a video cable equalizer. View full abstract»

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  • Equations for Active Networks: Existence of Unique Solutions

    Publication Year: 1967 , Page(s): 37 - 43
    Cited by:  Papers (4)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (779 KB)  

    Conditions are presented which are necessary and sufficient to ensure that the element-variable equations for networks of passive elements, independent sources, and dependent sources controlled by admittance currents and voltages have unique solutions. These require that the networks satisfy two types of constraints. The first is a restriction upon the source locations. The second requires that the transmittance relationships between dependent and controlling variables be independent of similar relationships imposed by the network in which the dependent sources are imbedded. These conditions are also necessary and sufficient when voltage sources controlled by open-circuit voltages or current sources controlled by short-circuit currents are considered. The conditions are sufficient but not necessary for networks containing voltage sources controlled by short-circuit currents or current sources controlled by open-circuit voltages. View full abstract»

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  • Maximizing the Frequency of Negative-Resistance Oscillation

    Publication Year: 1967 , Page(s): 44 - 51
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (814 KB)  

    High-frequency oscillation is often desired from a circuit consisting of a one-port negative-resistance element, e.g., a tunnel diode and a passive linear load. The designer must then choose a negative-resistance element capable of producing oscillation at the desired frequency. In this paper the question of frequency "capability" is investigated on the basis of the usual circuit model for a tunnel diode. Theoretical expressions for the maximum frequencies of quasi-harmonic oscillation with resistive loads and parallel-RC loads are derived. The method of analysis, utilizing impedance loci in the complex plane, leads logically to the discovery of loads that are superior to the parallel-RC load. Experimental data support the theoretical predictions. View full abstract»

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  • Realization of Piecewise-Linear Driving-Point and Transfer Characteristics by RDS Networks

    Publication Year: 1967 , Page(s): 52 - 56
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (516 KB)  

    An RDS network contains positive resistors, ideal diodes, independent voltage sources, and independent current sources. This paper presents conditions which are necessary and sufficient for a driving-point characteristic and a transfer characteristic to be realizable by an RDS two-port terminated in a twoterminal RDS load. The sufficient conditions are established by showing how the desired two-port is constructed. The resulting network is a physically symmetric lattice. Additional necessary and sufficient conditions are found for the two-port to be grounded, and a procedure for realizing characteristics which satisfy these additional conditions is presented. Other network configurations which realize RDS driving-point and transfer functions are then considered. A simple method for determining the number of elements in the various configurations is developed. This number depends on the number and location of the breakpoints in the driving-point, transfer, and load characteristics, and can be determined without synthesizing the network. View full abstract»

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  • Analysis of Some Nonlinear Phenomena in a Transmission Line

    Publication Year: 1967 , Page(s): 60 - 68
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    In this paper, we consider some nonlinear phenomena such as "self-oscillation," "synchronization," and "asynchronous quenching" in a distributed system. The system consists of a lossless transmission line terminated with a tunnel diode and a lumped parallel capacitance on one end. Such a system is governed by a partial differential equation (wave equation) and nonlinear boundary conditions. By introducing the d'Alembert solution of the wave equation, the equation describing the system is reduced to a nonlinear differential-difference equation. We have made a theoretical analysis of the above system following a nonlinear technique and obtained some interesting results. Also, we present examples of waveforms of self-oscillation obtained by computation and experiment, and show some experimental results which are in good agreement with the theoretical results. View full abstract»

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  • A Class of Minimum Sensitivity Amplifiers

    Publication Year: 1967 , Page(s): 69 - 74
    Cited by:  Papers (4)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (673 KB)  

    The ease and low cost of fabricating large numbers of transistors in microelectronic configurations make feasible the use of redundant active devices to achieve improved reliability and decreased sensitivity to parameter changes. This paper considers an amplifier configuration which has particular advantages for microcircuit realization. The arrangement described is capable of yielding a fractional gain change which is equal to the product of the fractional deviations in the gains of each of the redundant signal channels. The nominal input-output transmission is maintained, with negligible changes in gain and bandwidth, even with complete failure of one or more (but not all) of the signal channels; this is achieved at the expense of an increase in sensitivity. The sensitivity to large parameter changes can be minimized over an appreciable portion of the amplifier passband by use of the systematic design procedure which is presented. Experimental verification of theoretical predictions and a design procedure are included. View full abstract»

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  • Grounded RC-Unity Gain Amplifier Transfer Vector Synthesis

    Publication Year: 1967 , Page(s): 75 - 76
    Cited by:  Papers (2)
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  • On the Stability Properties of a Negative-Immittance Converter

    Publication Year: 1967 , Page(s): 77
    Cited by:  Papers (1)
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  • Notes on a Minimum Feedback Arc Set

    Publication Year: 1967 , Page(s): 78 - 79
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  • Generation of all Hamiltonian Circuits, Paths, and Centers of a Graph, and Related Problems

    Publication Year: 1967 , Page(s): 79 - 81
    Cited by:  Papers (5)
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  • Generalized Topological Matrices

    Publication Year: 1967 , Page(s): 81 - 82
    Cited by:  Papers (1)
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  • Component Reduction in the Fialkow-Gerst RC Transfer Vector Synthesis

    Publication Year: 1967 , Page(s): 82 - 84
    Cited by:  Papers (1)
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  • Signal flow matrix - A new approach to signal flow graphs

    Publication Year: 1967 , Page(s): 84 - 86
    Cited by:  Papers (1)
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  • Generation of Minimum Sensitivity Networks

    Publication Year: 1967 , Page(s): 87 - 88
    Cited by:  Papers (7)
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  • A Comparison of Convolutive and Sequential Schemes for Signal Processing

    Publication Year: 1967 , Page(s): 88 - 89
    Cited by:  Papers (3)
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  • Some properties of networks with one variable element

    Publication Year: 1967 , Page(s): 89 - 92
    Cited by:  Papers (4)
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  • Numerical Approximation Technique for Filter Characteristic Functions

    Publication Year: 1967 , Page(s): 92 - 94
    Cited by:  Papers (5)
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  • High-Frequency Pulse in Synchronous Six-Stage Single-Circuit Amplifiers

    Publication Year: 1967 , Page(s): 94 - 97
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    This correspondence presents the computation of the envelope, phase angle, and instantaneous frequency response of a rectangular high-frequency pulse applied to the input of a multistage synchronous single-circuit amplifier. The general formulas for the n -stage amplifier and the numerical results for the six-stage amplifier obtained by the use of a digital computer are given also for the case of detuning the signal frequency from the resonant frequency of the high- Q circuits. View full abstract»

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  • Equivalent Gyrator Networks with Nullators and Norators

    Publication Year: 1967 , Page(s): 98
    Cited by:  Papers (11)
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  • A New Realization of Microwave Type D Section

    Publication Year: 1967 , Page(s): 99 - 101
    Cited by:  Papers (2)
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  • Application of a Gyrator-Type Circuit to Realize Ungrounded Inductors

    Publication Year: 1967 , Page(s): 101 - 102
    Cited by:  Papers (10)  |  Patents (1)
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