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Circuit Theory, IEEE Transactions on

Issue 3 • Date September 1965

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Displaying Results 1 - 25 of 42
  • Construction of matrices having certain sign patterns and prescribed eigenvalues by orthogonal transformations

    Publication Year: 1965 , Page(s): 419 - 421
    Cited by:  Papers (2)
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  • Extremal and crest statistics of a negative resistance cube law element driven by random noise

    Publication Year: 1965 , Page(s): 428 - 432
    Cited by:  Papers (2)
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  • Comments on 'Flow-Graph Evaluation of the Characteristic Polynomial of a Matrix'

    Publication Year: 1965 , Page(s): 434
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  • Comments on 'Inductorless Filters'

    Publication Year: 1965 , Page(s): 435
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  • Comments on 'Flow-Graph Evaluation of the Characteristic Polynomial of a Matrix'

    Publication Year: 1965 , Page(s): 435
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  • A brune realization using gyrator-capacitor sections

    Publication Year: 1965 , Page(s): 439 - 440
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  • The use of convergents in the synthesis of Mth root ladder networks

    Publication Year: 1965 , Page(s): 442 - 444
    Cited by:  Papers (5)
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  • Continuants-A Superior Tool in the Analysis of Ladder Networks and Ladders of Recurrent Networks

    Publication Year: 1965 , Page(s): 444 - 446
    Cited by:  Papers (4)
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  • Paper Networks

    Publication Year: 1965 , Page(s): 425 - 426
    Cited by:  Papers (58)
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  • New Topological Formulas for Linear Networks

    Publication Year: 1965 , Page(s): 358 - 365
    Cited by:  Papers (7)
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    A new method of topological analysis for networks containing nonreciprocal components and mutual inductance is presented. The components are required to have two, three, or four terminals and an admittance matrix. The difference between the present method and other known methods is the result of allowing tree and two-tree admittance parameters to be a function of the shape and element content of corresponding trees and two-trees. No modification of the original network is required and for node determinant and diagonal cofactor calculations, no sign is appended to tree and two-tree parameters. The method is illustrated with a transistor amplifier. View full abstract»

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  • A Note on the Integral of a Binary Random Process

    Publication Year: 1965 , Page(s): 414
    Cited by:  Papers (1)
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  • Realizability Conditions of Special Types of Oriented Communication Nets

    Publication Year: 1965 , Page(s): 417 - 419
    Cited by:  Papers (1)
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  • Practical Realization of a Gyrator Circuit and RC-Gyrator Filters

    Publication Year: 1965 , Page(s): 374 - 380
    Cited by:  Papers (21)
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    A gyrator circuit containing only three transistors has been designed by providing an active feedback path such that the circuit behaves like a two-way feedback system with transfer immittance parameters that are equal in magnitude and opposite in phase. At the same time, very low input and output immittances are obtained by this arrangement so that the need for additional negative resistance circuits or negative impedance converters (NIC) to neutralize the residual input and output impedances is obviated. Experimental data exhibit evidence of the excellent performance of the circuit as a gyrator, impedance inverter, and isolator over wide ranges of load and, frequencies that are well below the microwave region. From a theoretical analysis of the circuit, design equations are derived and their application demonstrated by actual design of the gyrator circuit to realize specified open-circuit (o.c.) impedance parameters of the two-port network. These equations show how the network parameters can be individually varied; desired values of the gyration resistance are easily obtained by adjusting single passive elements. The gyrator is then cascaded in between two RC two-port networks to realize complex conjugate poles in such a way that the sensitivity of the poles due to variation in the gyration resistance is minimized. Experimental study of the frequency response of the filter and the sensitivity of the poles when the gyration resistance is varied gives very good results in agreement with theory. View full abstract»

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  • Passivity Conditions

    Publication Year: 1965 , Page(s): 446 - 448
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  • Synthesis of RLC Two-Port Networks

    Publication Year: 1965 , Page(s): 437 - 438
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  • The Roots of the Maximally Flat-Delay Polynomials

    Publication Year: 1965 , Page(s): 452 - 454
    Cited by:  Papers (6)
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  • A General Equivalent Circuit Transformation for Distributed Networks

    Publication Year: 1965 , Page(s): 457 - 458
    Cited by:  Papers (13)
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  • On Equivalence of Resistive n-Port Networks

    Publication Year: 1965 , Page(s): 338 - 344
    Cited by:  Papers (10)
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    In this paper the problem of realization of a resistive n -port network from its paramount admittance matrix Y is considered from a geometric point of view. Augmentation of the set of n ports to a linear 2n - 1 tree on a complete graph with 2n vertices leads to a system of n(n + 1) equations in q = n (2n - 1) unknowns. All the real solutions of this system correspond to equivalent n ports. They may be looked on as points of a manifold L in the q -space E^{q} . The realization of Y in the conventional sense being constrained to non-negative resistor values is equivalent to finding a point of intersection of L and the non-negative orthant P of E^{q} . In this paper the theory of equivalence is studied and some properties of L are defined. Similarly to the known method of the decomposition of the admittance matrix Y of a resistive n -port network with n + 1 vertices into a unimodular congruence Y = CGC' , this paper proposes a decomposition of a general admittance matrix Y into a subunimodular congruence Y = CGC' . View full abstract»

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  • Bistable Transmission Lines

    Publication Year: 1965 , Page(s): 400 - 412
    Cited by:  Papers (8)
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    The paper introduces two types of active transmission lines having two stable states of equilibrium. In these, a transition from one state to the other is transmitted along the line and the transition waveforms are shaped during transmission. The properties of the lines have been investigated theoretically, using computers, and experimentally by using lumped constant elements and tunnel diodes. View full abstract»

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  • On the Design of Pulse-Forming Networks

    Publication Year: 1965 , Page(s): 393 - 400
    Cited by:  Papers (14)  |  Patents (1)
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    A figure of merit is defined for pulse-forming networks which takes into account frequency response as well as time response, and a class of filters was found that is best in the sense of this criterion. The characteristics of these filters in the stop band and in parts of the time domain lead to a new approximation problem, which is stated in the frequency and time domain simultaneously. Numerical solutions have been obtained for the parameters of a large number of filters of different degree. The frequency response and the delay of these filters in the pass band are very unusual when compared with those of pulse-forming networks known so far. The parameters of some of these filters are given in the Appendix. View full abstract»

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  • Restrictions on Linear Phase, Low-Pass Networks with Prescribed Parasitic Loads

    Publication Year: 1965 , Page(s): 387 - 392
    Cited by:  Papers (2)
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    In this paper integral restrictions on the time delay of linear phase, low-pass matching networks are derived. These networks operate between a resistive generator and a load involving parasitic elements. The restrictions relate the minimum group delay, size of the parasitic elements, and order of the matching network (number of elements of the system) with the level of the overall gain. This paper is limited to the case in which the load has a zero of transmission at infinity. The restrictions involve the Appell integral. In the case of unit gain at dc, this integral becomes the Riemann Zeta function. The restrictions are derived by assuming a Gaussian amplitude characteristic. The synthesis procedure is based on the fact that the Gaussian amplitudes are asymptotic forms of Bessel polynomials which were investigated by Thomson and Storch. View full abstract»

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  • Topological Rules for Linear Networks

    Publication Year: 1965 , Page(s): 344 - 358
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    Topological rules are provided for the expansion of admittance functions of linear networks which may include reciprocal and nonreciprocal branches, infinite-gain operational amplifiers, dependent current or voltage sources, vacuum tubes, transistors, and ideal transformers. Kirchhoff's rules for reciprocal networks, on the one hand, and signal-flow graph rules, on the other, appear as special cases. The rules are purely topological and, in contradistinction to some prior work, do not include sign rules dependent upon an arbitrary assignment of labels to nodes, or directions to reciprocal branches. Any term in an expansion corresponds to a subgraph of the network. The subgraphs are "loop-woods," formed by trees comprised of reciprocal branches and disjoint loops which include at least one nonreciprocal branch each. Transformers are represented by a set of weighted short circuits. The rules are proved by means of "polar" incidence matrices A+, A- whose properties are explored. View full abstract»

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  • On the Differing Abilities of RL Structures to Realize Natural Frequencies

    Publication Year: 1965 , Page(s): 365 - 373
    Cited by:  Papers (8)
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    A restricted class of RL structures is considered. Specifically, an attempt is made to distinguish between 1) the member structures which approximately equal the Foster and the Cauer structures in natural frequency realizing ability and 2) the member structures which are markedly inferior to the Foster and the Cauer structures in natural frequency realizing ability. The attempt is successful. It is shown that the member structures which belong to the former category satisfy a remarkably simple algorithm. The algorithm suggests a corresponding algorithm as obtaining for the entire class of RL structures. All results have exact analogs for the RC and LC cases. View full abstract»

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  • Ternary-Transmission Contact Networks

    Publication Year: 1965 , Page(s): 414 - 417
    Cited by:  Papers (1)
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  • Figure of Merit Associated with a Variable-Parameter One-Port for RF Switching and Modulation

    Publication Year: 1965 , Page(s): 321 - 328
    Cited by:  Papers (16)
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    A universal definition of "figure of merit" associated with a variable-parameter one-part device (for example, a p-i-n diode) for RF switching or modulation is discussed. The definition of figure of merit applies to a variable-parameter, passive, and linear one-port which has two "quantized states" at a single specified frequency. The definition is based on a property of a variable-parameter one-port device which is invariant under arbitrary lossless reciprocal transformations. From the physical meaning of a figure of merit, any variableparameter one-port which has two "quantized states" can be transformed by a lossless reciprocal two-port network into a "canonical form," i.e., a variable resistance, which is equal to a reference resistance, say 1\Omega , at one state, and equal to another resistance, say R \Omega , at the other state. This fact has brought great simplification in the analysis of a modulator or switch circuit which contains a variable-parameter one-port with two quantized states. A generalized transmission-type modulator and switch, generalized reflection-type modulator and a phase switch are studied, and the optimum modulator or switch characteristics of those networks employing one variable-parameter one-port device have been disclosed. View full abstract»

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