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Circuit Theory, IEEE Transactions on

Issue 2 • Date June 1968

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Displaying Results 1 - 23 of 23
  • Comment

    Publication Year: 1968 , Page(s): 132
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    The comentor notes that Dr. Fialkow has solved a difficult problem in disproving the so-called series-parallel conjecture, which he published some twelve years ago. He is not particularly surprised that the conjecture turns out to be false. However, he is surprised that Dr. Fialkow??s counterexample has the following combination of particular characteristics: Y11 = Y22, compact residues, negative residues at both finite poles of Y12. View full abstract»

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  • Comments on 'Sensitivity Considerations in the Synthesis of Doubly-Terminated Coupling Networks'

    Publication Year: 1968 , Page(s): 145 - 147
    Cited by:  Papers (2)
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  • On double contact switching functions and their realization

    Publication Year: 1968 , Page(s): 168 - 169
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  • Author's reply to Comments on 'On Double Contact Switching Functions and their Realization'

    Publication Year: 1968 , Page(s): 169 - 170
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  • On the Transformerless Synthesis of Reactance Two-Ports of Degree Four or Less

    Publication Year: 1968 , Page(s): 132 - 138
    Cited by:  Papers (4)
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    This paper deals with the transformerless synthesis of reactive immittance matrices that are compact and whose elements are of degree four or less. In reference to the well-known necessary condition for transformerless networks, it is shown that there exist transformerless equivalent networks for the Darlington section, the cascade of two Brune sections with attenuation poles on the real and imaginary axes, and the cascade of two Brune sections with attenuation poles on the imaginary axis. These results are applied to transformerless one-port synthesis. View full abstract»

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  • A Limitation of the Series-Parallel Structure

    Publication Year: 1968 , Page(s): 124 - 132
    Cited by:  Papers (8)
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    This paper disproves Darlington's conjecture that every RC -grounded two-port is equivalent to a series-parallel two-port. The proof depends upon the construction of a counterexample. This counterexample is a six-node RC -grounded two-port, whose admittance functions Y_{11} = N_{11}/D, -Y_{12} = N_{12}/D, Y_{22} = N_{22}/D, written without common factors, have compact poles at the zeros of D and for which N_{12} has a negative coefficient. In accordance with properties of RC series-parallel networks derived in an earlier paper, the network of the counterexample cannot be equivalent to any RC series-parallel two-port. View full abstract»

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  • Optimal Matching: A New Approach to the Matching Problem for Real Linear Time-Invariant One-Port Networks

    Publication Year: 1968 , Page(s): 118 - 124
    Cited by:  Papers (2)
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    A strictly energy-absorbing real linear time-invariant one-port network characterized by an impedance function Z(p) is optimally matched by a real linear time-invariant one-port network characterized by an impedance function Z(-p) . Z(-p) is not realizable in general, but it is the key to the entire study of matching since it dictates fundamental limitations on matching network behavior and a sequence of approximating matching network structures. The problem is formulated in the time domain, but practical realizations are obtained at the final step by means of passive approximation in the frequency domain. Most of the steps to solution of a specific problem may be carried out virtually by inspection. View full abstract»

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  • A Class of Finite Memory Interpolation Filters

    Publication Year: 1968 , Page(s): 105 - 111
    Cited by:  Papers (4)
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    Sufficient conditions are given for an interpolation filter to have an impulse response that vanishes outside a finite interval of the time axis, that is to have a finite memory. These conditions are that the transfer function be of the form G(s)/G(z) , where G(s) is proper, rational, and has poles limited to the strip |\Im s| < \pi ; and where 1/G(z) is a polynomial. The filters R_{\mp} are included in this class, and these are characterized by the fact that their effect is to interpolate an (m + p - 1) -order polynomial in each interval through p past and m future points. The interpolation filters described can be used to derive digital filters that approximate an arbitrary linear timeinvariant continuous-time operator. It is shown that in the case of integration, the R_{\mp} filters lead to well-known Lagrangian integration formulas. View full abstract»

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  • The A-Graph of a Chain Matrix

    Publication Year: 1968 , Page(s): 149 - 151
    Cited by:  Papers (1)
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    A simple method of evaluating the chain matix of n - cascaded networks is presented. For this purpose, a new graph, called the A -graph, is defined. It is also shown that the B, C, and D parameters of the overall a -matrix may be written by a knowledge of the A -parameter, which is obtained through the A -graph. Applications of the A -graph in matrix multiplication and in obtaining the even and odd parts of a product of polynomials are suggested. View full abstract»

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  • A Simple Proof of the Central Activity Criterion

    Publication Year: 1968 , Page(s): 148 - 149
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  • An Alternative to Resistance Reduction

    Publication Year: 1968 , Page(s): 151 - 152
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  • The Nonlinear Theory of a Class of Transistor Oscillators

    Publication Year: 1968 , Page(s): 111 - 117
    Cited by:  Papers (3)
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    The nonlinear theory of a class of transistor oscillators linear differential equation of the form is developed, using the Ebers-Moll large-signal model for the transistors. Simplified versions of tuned-collector, tuned-base, and Hart ley transistor oscillators are shown to be characterized by a nonlinear differential equation of the form \ddot{x} - \mu[e^{a dot{x}} - \kappa e^{(a+b)dot{x}}] + \gamma dot{x} + x = 0 where \mu, \kappa , \gamma , a , and b are positive constants and \kappa \ll 1 . Approximate solutions of the above equation, which are derived in a very simple manner using the phase plane approach, are compared favorably with experimental results. A push-pull version of the tunedcollector oscillator characterized by the above equation with the exponential terms replaced by hyperbolic sines is discussed. View full abstract»

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  • The Transfer Function Synthesis for a Cascade Connection Network

    Publication Year: 1968 , Page(s): 162 - 165
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    The synthesis procedure presented is a cascade connection of passive RC zero sections. The realized network is amaximum gain structure and contains no more elements for the synthesis of a fourth-order transfer than twice the number required for a secondorder network. The whole circuit is grounded and realized a voltage transfer ratio. View full abstract»

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  • An Algorithm for Testing the Planarity of a Graph

    Publication Year: 1968 , Page(s): 166 - 168
    Cited by:  Papers (2)
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  • Generation of Complete Trees

    Publication Year: 1968 , Page(s): 101 - 105
    Cited by:  Papers (6)
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    A method of generating all complete trees of a pair of linear graphs representing an active network is given. This method is a repetition of two processes, one of which is to obtain a complete tree and the other is to generate all possible complete trees of distance one from the complete tree that is obtained by the first process. These two processes are easily carried out by the use of computers, and there will be no duplications in the generated complete trees. Furthermore, complete trees are generated by sets of complete trees classified by edges in initial complete tree to. Thus, it will be easy to factorize the result according to the weights of these edges. View full abstract»

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  • Difference Between Number of Capacitors and Inductors in a Lossless N-Port

    Publication Year: 1968 , Page(s): 147 - 148
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  • Distributed RC Network Driving-Point Functions

    Publication Year: 1968 , Page(s): 160 - 162
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    This correspondence applies the theory of complex variables to the investigation of distributed RC networks. To further understand the basic properties of distributed RC (\overline {RC}) networks, four theorems have been constructed. Only driving-point impedances are considered at this time. Following this, the schlicht nature of the driving-point functions is considered to derive more information concerning their character. View full abstract»

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  • Theoretical and Realizable Sensitivities of a Two-Pole Gyrator Active Filter

    Publication Year: 1968 , Page(s): 94 - 100
    Cited by:  Papers (3)
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    The effects of amplifier imperfections on the sensitivity performance of a complex-conjugate pole-pair realized using a gyrator circuit is critically examined. Sufficient data are presented to enable the sensitivity performance of this type of system to be calculated rapidly with a fair degree of precision. In particular, it is shown that if the sensitivities are to be comparable with those of an ideal gyrator, the bandwidth of the gyrator amplifiers needs to be greater than 5 \omega _{0} Q . View full abstract»

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  • Orthogonal Expansion of a Real Rational Function Having Hurwitz Denominator

    Publication Year: 1968 , Page(s): 144 - 145
    Cited by:  Papers (1)
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  • The Insertion of an Extra Section into the Networks of a Distributed Amplifier

    Publication Year: 1968 , Page(s): 152 - 156
    Cited by:  Papers (3)
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    The overall voltage gain function of a distributed amplifier using standard constant- k LC low-pass filter sections, with an extra section being inserted anywhere along the plate line, is given. It is shown that if the losses due to valve input conductance are small, then it is possible to maintain the gain constant to within \pm 0.24 dB over 90 percent of the passband. View full abstract»

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  • A Necessary Condition for the Realizability of Oriented Communication Nets

    Publication Year: 1968 , Page(s): 157 - 158
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  • Realizations of Inductive and Capacitive Gyrators

    Publication Year: 1968 , Page(s): 158 - 160
    Cited by:  Papers (1)
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    Definitions and realizations of inductive and capacitive gyrators are presented. It is shown that an ideal inductive gyrator may be composed of four voltage-controlled current sources and two capacitors; while an ideal capacitive gyrator may be composed of two voltage-controlled voltage sources, two current-controlled current sources, and two capacitors. Transistors may be used as controlled sources. The lack of inductors makes possible the integration of these gyrator circuits. View full abstract»

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  • Synthesis of Some Classes of Multivariable Cascaded Transmission-Line Networks

    Publication Year: 1968 , Page(s): 138 - 143
    Cited by:  Papers (6)  |  Patents (1)
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    Since the concept of multivariable positive real functions was introduced, the synthesis of these functions and matrices, concerning passive networks composed of lumped elements and of lumped and transmission-line elements, has been one of the most interesting problems in the field of circuit theory. This paper considers the synthesis of cascaded transmission-line networks of noncommensurate unit elements with the following structures: 1) a cascade connection of m transmission lines N_{i} (i= 1, 2, \cdots ,m) in a prescribed order, each N_{i} being a transmission line with open-ended stubs, composed of unit elements of a single variable p_{i} ; 2) a transmission line with open-ended stubs composed of unit elements of P_{2} , connected in cascade between two transmission lines composed of unit elements of p_{1} ; 3) a cascade connection of m transmission lines N_{i} (i = 1, 2, \cdots ,m) in an arbitrary order, each N_{i} being a transmission line composed of unit elements of p_{i} ; and 4) a transmission line composed of commensurate unit elements with open-ended stubs, partitioned from a multivariable network. View full abstract»

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