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Circuits and Systems, IEEE Transactions on

Issue 2 • Date March 1974

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Displaying Results 1 - 25 of 35
  • Comments on "On the Synthesis of n-Port Networks from nth-Order Resistant Matrices

    Publication Year: 1974 , Page(s): 311 - 312
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    First Page of the Article
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  • Synthesis of LC 3-terminal networks by mixed-integer programming

    Publication Year: 1974 , Page(s): 199 - 203
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    The transformerless synthesis of reactive admittance matrices that are compact and for which all the elements of the matrix are given is dealt with. A general method of separation of such matrices is developed, which minimizes the sum of the degrees of the resulting matrices. View full abstract»

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  • Zero Q-sensitivity active RC circuit synthesis

    Publication Year: 1974 , Page(s): 239 - 244
    Cited by:  Papers (2)
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    A lumped active RC circuit synthesis procedure with zero Q-sensitivity to active parameter variations is presented. Proposed circuit structures with active block gains on the order of 35 dB allow one to realize high Q-factors of the transfer function poles. Medium gain values enable the broad-band active block realization and extention of the frequency range of the proposed active filters. An optimal decomposition of third-degree polynomials is given and, based on it, synthesis procedures for three different synthesis models are described. A numerical example is also presented. View full abstract»

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  • Existence theorem in the time domain for linear active networks

    Publication Year: 1974 , Page(s): 175 - 177
    Cited by:  Papers (1)
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    Necessary and sufficient conditions for the existence of a unique solution in the time domain to linear active networks with controlled sources of all types are developed via the existence theorem in the Laplace domain. View full abstract»

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  • RC transmission line with nonlinear controlled parameters Small-signal characteristics

    Publication Year: 1974 , Page(s): 268 - 270
    Cited by:  Papers (3)
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    Controlled RC transmission lines can be used to model such solid-state devices as field-effect transistors and diffusion resistors; therefore, the terminal properties of such lines are important. In this paper, expressions for the transmission (chain) parameters of an arbitrary controlled RC transmission line are established. View full abstract»

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  • Reduction of roundoff noise in wave digital filters

    Publication Year: 1974 , Page(s): 305 - 310
    Cited by:  Papers (5)
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    Roundoff noise generated by arithmetic operations in a digital-filter computational sequence is undesirable in that it serves to distort the true signal at the output. Furthermore, coefficient wordlength is directly related to the generated noise. It is shown that a minimization of the filter attenuation sensitivity, which is characteristic of wave digital filters, serves to reduce the noise. Analytical results confirm this for both floating-point and fixed-point systems. A simulation where the actual noise is measured produces results which demonstrate the superior performance of the wave digital filter over the standard z-transform filter. View full abstract»

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  • Preliminary simplifications in state-space impedance synthesis

    Publication Year: 1974 , Page(s): 203 - 206
    Cited by:  Papers (1)
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    State-space techniques for impedance matrix synthesis can be difficult to apply when the prescribed impedance matrix Z(s) is such that Z(\infty ) + Z'(\infty ) is singular. Here this problem is overcome by a sequence of preliminary lossless extractions. In the case of lossless networks, the procedure reduces to a multiport Cauer synthesis. View full abstract»

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  • Sensitivity of generalized immittance converter-embedded ladder structures

    Publication Year: 1974 , Page(s): 245 - 250
    Cited by:  Papers (3)
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    Generalized immittance converter (GIC) embedding techniques, based on the Gorski-Popiel structure, have been employed to realize high-quality active filters by several workers. A general equivalent circuit is derived for GIC-embedded structures which is topologically identical to the network that is to be simulated. From the proposed equivalent circuit, the multiparameter sensitivity performance of GIC simulated bandpass filters is evaluated in terms of all the network elements. The results are compared with the inductance-simulation method. View full abstract»

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  • Analytical solution of large numbers of mutually coupled nearly sinusoidal oscillators

    Publication Year: 1974 , Page(s): 294 - 300
    Cited by:  Papers (19)
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    Attempts to produce a mathematical model of the electrical activity in certain sections of the digestive tract in animals have led to complex systems of interconnected nonlinear oscillators. The analytical solution of mutually coupled Van der Pol oscillators using the method of harmonic balance and based on the assumption of nearly sinusoidal oscillations is presented. Algebraic equations are derived from the system dynamic equations, which can be easily solved in the case of identical oscillators to reveal the effect of coupling on the overall system frequency, amplitudes, and phases. A simple hillclimbing method is used for the solution of the algebraic equations for the nonidentical oscillator case. Using this technique, a jump transition is found in the unstable limit cycle of the overall system that can be predicted from a manipulation of the algebraic equations. View full abstract»

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  • Fill-in comparisons between Gauss-Jordan and Gaussian eliminations

    Publication Year: 1974 , Page(s): 230 - 233
    Cited by:  Papers (1)
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    The method is described for evaluating the ratio of total nonzeros created between Gauss-Jordan elimination (GJE) and Gaussian elimination (GE) for large random sparse matrices. It has been found that, within the lower and upper bounds of nonzero densities for the matrices, an approximate constant fill-in ratio of two has been verified. It was also found that, within those bounds, the fill-in ratio is independent of the nonzero densities and the matrices' order. View full abstract»

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  • Countably Infinite Networks that Need not be Locally Finite

    Publication Year: 1974 , Page(s): 274 - 277
    Cited by:  Papers (4)
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    A network that is not locally finite is an infinite network with at least one node having an infinity of incident branches. Such networks arise naturally when the short circuits in a locally finite infinite network are coalesced into nodes. Although a number of existence and uniqueness theorems for the behavior of a locally finite network have been given in the literature, such is not the case for nonlocally finite networks. This paper provides such a theorem for the branch-voltage drops of a nonlocally finite resistive network having an infinity of current sources satisfying a certain restriction. The conditions under which this result holds are Kirchhoff's loop law, the finiteness of the total power dissipation, and a generalized form of Tellegen's theorem. However, Kirchhoff's node law need not hold at those nodes having an infinity of incident branches. Voltage sources can be taken into account by making appropriate changes of sources. View full abstract»

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  • Transfer-function synthesis using a current conveyor

    Publication Year: 1974 , Page(s): 312 - 313
    Cited by:  Papers (15)
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    This letter demonstrates that a network composed of a current conveyor and RC one-ports is capable of realizing any real rational voltage transfer function. View full abstract»

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  • Explicit topological formulation of Lagrangian and Hamiltonian equations for nonlinear networks

    Publication Year: 1974 , Page(s): 277 - 286
    Cited by:  Papers (14)
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    This paper presents an explicit topological formulation of the Lagrangian and the Hamiltonian equations for a large class of nonlinear networks. In particular, formulations are given for networks containing both linear and nonlinear controlled sources. Classically, the Lagrangian and Hamiltonian equations are derived from variational techniques; in this paper topological techniques are used for the formulation. View full abstract»

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  • Synthesis of a low-sensitivity multiloop feedback active RC filter

    Publication Year: 1974 , Page(s): 252 - 259
    Cited by:  Papers (19)
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    A general, low-sensitivity multiloop feedback configuration for realizing higher order transfer functions is presented. A synthesis procedure, which incorporates the desirable building block approach of cascade design, is described. In particular, the paper is concerned with the realization of higher order narrow-band bandpass (BP) functions where either biquad or Tarmy-Ghausi (TG) networks are used as active blocks. A sensitivity expression, dependent explicitly on the individual active block Q's and loop gains, is derived and minimized. The results demonstrate the low-sensitivity performance of the structure which, for some designs is superior to that of the "leapfrog" (LF) configuration, especially over a wide-band of frequencies. View full abstract»

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  • Transient response of a logarithmic amplifier

    Publication Year: 1974 , Page(s): 237 - 238
    Cited by:  Papers (1)
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    An analysis of the transient response of a logarithmic amplifier to a step function decrease in nuclear reactor period leads to a differential equation of the form exp ({\alpha }t) + a \exp (bx) + cdx/dt = 0 . This equation is shown to be integrable and to relate the amplifier output voltage to reactor period and time. The result can be used to examine the suitability of a logarithmic amplifier for monitoring fast transient reactor excursions. View full abstract»

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  • Synthesis of nonlinear periodic systems

    Publication Year: 1974 , Page(s): 286 - 294
    Cited by:  Papers (10)
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    Two types of nonlinear periodic systems are synthesized. The first is an autonomous system which has an arbitrarily prescribed periodic waveform View full abstract»

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  • The computation of the Kth derivative of polynomials and rational functions in factored form and related matters

    Publication Year: 1974 , Page(s): 233 - 236
    Cited by:  Papers (2)
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    Brugia's work on the noniterative computation of high order derivatives of rational functions with application to multiple-pole fraction expansion is simplified by the use of operators. The formulas for the derivatives are given in a recursive scheme and finally the Laurent expansion is developed and applied to the partial fraction expansion of improper rational functions. View full abstract»

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  • Necessary and sufficient conditions for the realizability of biquadratic functions

    Publication Year: 1974 , Page(s): 197 - 198
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    The necessary and sufficient condition for the positiverealness of a general biquadratic function Z(s) is presented. It is shown that for each given pair of conjugate-complex poles of Z(s) with negative-real parts, the zeros of Z(s) are graphically restricted in a realizability region, which is an open region bounded by two curves. One of these curves is the locus of the zeros for which Z(s) is a minimum positive-real function. A theorem is given stating the realizability conditions for Z(s) as a driving-point immittance with passive elements. View full abstract»

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  • Formulation of hybrid matrices for linear multiports containing controlled sources

    Publication Year: 1974 , Page(s): 169 - 175
    Cited by:  Papers (11)
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    Explicit formulas for the hybrid matrix of RLC multiports have been known for some years. When controlled sources are included, only some special cases have been considered in the literature. A completely general procedure for obtaining the constraint matrix for a multiport containing controlled sources is presented. Application to the formulation of state equations for linear active networks is discussed. View full abstract»

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  • Stability of multidimensional digital filters

    Publication Year: 1974 , Page(s): 300 - 304
    Cited by:  Papers (43)
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    Conditions are obtained for a digital filter in three or more variables to be stable, and computational techniques for checking the stability are examined. View full abstract»

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  • Pivoting-order computation method for large random sparse systems

    Publication Year: 1974 , Page(s): 225 - 230
    Cited by:  Papers (3)
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    During each step of Gaussian elimination (GE), if ties occur for a minimum fill-in algorithm, an additional criterion is required to search for the most probable optimum pivot. Theoretical justifications for this criterion are developed. Practical rules for searching for these pivots as well as their implementation and computation results are presented for both the deterministic and probabilistic algorithms. View full abstract»

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  • Distributed RC notch filters based on a circular geometry

    Publication Year: 1974 , Page(s): 271 - 274
    Cited by:  Papers (1)
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    The analysis for a distributed RC transmission line based on a circular geometry in which a plane circular resistive sheet is separated from a circular conductor by a dielectric is developed. Connections to this sheet are made using an outer circumferential electrode and an inner central circular electrode. Two types of notch filter are then analyzed, one incorporating a single discrete resistor and having a fixed notch frequency, and a second with a discrete resistor and a discrete capacitor in series combination that has a variable notch frequency. In common with notch filters based on linearly and exponentially tapered transmission lines, the filters described demonstrate improved selectivity compared with zero-tapered lines. The effect of loading that is likely to be encountered in experimental conditions is discussed. View full abstract»

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  • Signal flow graphs-Computer-aided system analysis and sensitivity calculations

    Publication Year: 1974 , Page(s): 209 - 216
    Cited by:  Papers (9)
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    Concepts which promise to extend many fundamental results of network theory to general systems are introduced. The basis for these extensions is the introduction of two matrices, the summing matrix S and the branching matrix B, which completely describe the topology of a signal flow graph. This leads to a formulation of system equations in terms of submatrices of the S- and B-matrices suitable for digital-computer programming. Consequently, many computer-aided circuit analysis and design programs can now be employed for the computer-aided analysis and design of systems representable by signal flow graphs. This formulation also leads to a straightforward algorithm for obtaining the system gain, an alternate to using Mason's gain formula. Furthermore, the power of this formulation, and its strong relation to network theory, is demonstrated by the derivation of a theorem similar to Tellegen's theorem in network theory. The theorem depends only on the topological properties of the summing and branching matrices and not on the functional relationships between the branch View full abstract»

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  • General passive networks-Solvability, degeneracies, and order of complexity

    Publication Year: 1974 , Page(s): 177 - 183
    Cited by:  Papers (10)
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    A topological expansion of the network determinant is developed which makes possible the investigation of some properties of general passive networks modeled by two-terminal elements and gyrators. Necessary and sufficient conditions are obtained for the unique solvability of the network equations. These conditions are expressed in terms of the network graph and certain gyrator-only networks, called G -networks, which are derived from the original network by removing and contracting two-terminal elements. The solvability of G -networks is also shown to be fully related to the degeneracies existing in the state-variable characterization of the network. A procedure is given for determining the actual number of state equations (order of complexity) needed for describing an arbitrarily degenerate passive network. The theoretical results obtained are illustrated with some examples. View full abstract»

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  • Use of the adjoint for computing exact changes in response of cascaded two-port networks

    Publication Year: 1974 , Page(s): 217 - 218
    Cited by:  Papers (2)
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    It is shown that the adjoint network concept can be used to compute exact changes in response due to changed parameters for the class of cascaded two-port networks. Such networks are frequently encountered in linear filters and various microwave designs. Computing the change in response this way is both elegant and computationally efficient. In the limit of small parameter changes, the equations reduce to well-known results for first-order network sensitivities. The fact that an analysis of only the original network and not the adjoint is necessary to compute the sensitivity of a driving-point conjugate input variable is highlighted in this formulation. View full abstract»

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