IEEE Transactions on Circuits and Systems

Volume 21 Issue 2 • March 1974

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Displaying Results 1 - 25 of 35
  • General passive networks-Solvability, degeneracies, and order of complexity

    Publication Year: 1974, Page(s):177 - 183
    Cited by:  Papers (17)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (926 KB)

    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, calle... View full abstract»

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  • Passive Operator Networks

    Publication Year: 1974, Page(s):184 - 193
    Cited by:  Papers (12)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1296 KB)

    The concept of an RLC network is introduced, where each R, L, and C-instead of being a positive number or matrix-is a positive bounded linear operator on a Hibert space H. Actually, this idea of a network of operators is generalized still further since in the frequency domain the branch impedances or admittances are only required to be certain kinds of operator-valued positive-real functions. Such... View full abstract»

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  • Necessary and sufficient conditions for the realizability of biquadratic functions

    Publication Year: 1974, Page(s):197 - 198
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (187 KB)

    The necessary and sufficient condition for the positiverealness of a general biquadratic functionZ(s)is presented. It is shown that for each given pair of conjugate-complex poles ofZ(s)with negative-real parts, the zeros ofZ(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... 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)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (404 KB)

    State-space techniques for impedance matrix synthesis can be difficult to apply when the prescribed impedance matrixZ(s)is such thatZ(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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  • Active RC n-port network synthesis using nullators and norators

    Publication Year: 1974, Page(s):206 - 209
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (408 KB)

    A new method of synthesizing active RC nport networks using nullators and norators is given. The method based on the reactance extraction principle uses a minimum number of grounded capacitors and gains its importance from the fact that the synthesis procedure does not depend on any topological considerations. A bound on the maximum number of nullator-norator pairs required to realize any arbitrar... View full abstract»

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  • Transient response of a logarithmic amplifier

    Publication Year: 1974, Page(s):237 - 238
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (210 KB)

    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 amplif... View full abstract»

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  • Comments on "On the Synthesis of n-Port Networks from nth-Order Resistant Matrices

    Publication Year: 1974, Page(s):311 - 312
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (219 KB)

    First Page of the Article
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  • Countably Infinite Networks that Need not be Locally Finite

    Publication Year: 1974, Page(s):274 - 277
    Cited by:  Papers (11)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (472 KB)

    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... 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 (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (392 KB)

    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 a... View full abstract»

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  • Automated network design with optimal tolerances

    Publication Year: 1974, Page(s):219 - 222
    Cited by:  Papers (23)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (440 KB)

    A new approach to network design to obtain optimal parameter values simultaneously with an optimal set of component tolerances is proposed. An automated scheme could start from an arbitrary initial acceptable or unacceptable design and under appropriate restrictions stop at an acceptable design which is optimum in the worst case sense for the obtained tolerances. 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 (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (248 KB)

    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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  • 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 (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (344 KB)

    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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  • Stability of multidimensional digital filters

    Publication Year: 1974, Page(s):300 - 304
    Cited by:  Papers (62)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (520 KB)

    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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  • Reduction of roundoff noise in wave digital filters

    Publication Year: 1974, Page(s):305 - 310
    Cited by:  Papers (9)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (600 KB)

    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. Anal... View full abstract»

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  • Zero Q-sensitivity active RC circuit synthesis

    Publication Year: 1974, Page(s):239 - 244
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (496 KB)

    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 opti... View full abstract»

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  • Synthesis of nonlinear periodic systems

    Publication Year: 1974, Page(s):286 - 294
    Cited by:  Papers (22)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (888 KB)

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

    Publication Year: 1974, Page(s):230 - 233
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (368 KB)

    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 rati... 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 (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (200 KB)

    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 r... View full abstract»

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  • Strictly positive-real functions and the Lefschetz-Kalman Yakubovich (LKY) lemma

    Publication Year: 1974, Page(s):310 - 311
    Cited by:  Papers (33)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (264 KB)

    First Page of the Article
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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 (39)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (952 KB)

    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 th... View full abstract»

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  • On negative conductance activity in 2-port networks

    Publication Year: 1974, Page(s):194 - 196
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (256 KB)

    It is shown that using lossless embedding, it is possible to modify the nature of the real parts of the port conductances of an active 2-port network at a single frequency. Two simple tests are given which predict whether the signs of the port conductances can be changed from negative to positive. The range of values of the embedding which cause this to happen are determined graphically. 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 (42)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (968 KB)

    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 us... 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 (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (656 KB)

    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 ... 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 (17)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (768 KB)

    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... View full abstract»

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  • Transfer-function synthesis using a current conveyor

    Publication Year: 1974, Page(s):312 - 313
    Cited by:  Papers (42)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (224 KB)

    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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