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Circuit Theory, IRE Transactions on

Issue 3 • Date September 1959

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Displaying Results 1 - 21 of 21
  • Correction to "Bounded Real Scattering Matrices and the Foundations of Linear Passive Network Theory"

    Publication Year: 1959 , Page(s): 317
    Cited by:  Papers (1)
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  • Abstracts of articles on circuit theory

    Publication Year: 1959 , Page(s): 318 - 320
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    Freely Available from IEEE
  • Ladder-Network Analysis Using Fibonacci Numbers

    Publication Year: 1959 , Page(s): 321 - 322
    Cited by:  Papers (15)
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  • Remarks on a Paper by Grayzel

    Publication Year: 1959 , Page(s): 322 - 323
    Cited by:  Papers (1)
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  • Computation of FM Transient Response

    Publication Year: 1959 , Page(s): 323 - 324
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  • Author's reply to Comments on "Cascaded two-port networks"

    Publication Year: 1959 , Page(s): 323
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  • Comments on 'Cascade Two-Port Networks'

    Publication Year: 1959 , Page(s): 323
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  • Comments on 'Analysis and Synthesis of Delay Line Periodic Filters'

    Publication Year: 1959 , Page(s): 325
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  • DC Design of Resistance-Coupled Transistor Logic Circuits

    Publication Year: 1959 , Page(s): 304 - 310
    Cited by:  Papers (2)
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    Worst-case de design equations for resistance coupled transistor logic circuits are presented and discussed. A solution is chosen in a form which provides for setting switching transient times in advance of calculating the dc design. All constants are discussed, and the algebraic solution is obtained for values of the unknown resistors and voltages. A numerical example illustrates a typical design with five inputs and five outputs, using the type GT-759 transistor. View full abstract»

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  • The Problem of Phase Equalization

    Publication Year: 1959 , Page(s): 272 - 277
    Cited by:  Papers (2)
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    The equalization of the insertion-phase vs frequency characteristics of low-pass filters and low-pass like networks is considered in the article. A method is described for maximally-flat equalization by minimum-pass or all-pass equalizers. The method can be readily extended to a nearly equal-ripple approximation by using Darlington's method of Tchebycheff polynomial series. View full abstract»

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  • The Path Matrix and its Realizability

    Publication Year: 1959 , Page(s): 267 - 272
    Cited by:  Papers (3)
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    This paper presents in one listing those properties of the path matrix of a graph which are fundamental and interesting in nature. Included are 1) a relation between the path matrix and the incidence matrix, 2) the rank of the path matrix, 3) relations between paths and cut sets, and 4) relations between paths and circuits (Ashenhurst's lemmas). Also included are a number of necessary conditions for the realizability of a matrix as a path matrix of a graph. View full abstract»

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  • Network Realizability in the Time Domain

    Publication Year: 1959 , Page(s): 288 - 291
    Cited by:  Papers (1)
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    Two network-realizability theorems on the unit-impulse response matrix of a multiterminal network are developed. They present necessary and sufficient conditions which are satisfied by the unit-impulse response matrix of certain classes of fixed, linear, and passive networks. View full abstract»

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  • Optimum Filters of Even Orders with Monotonic Response

    Publication Year: 1959 , Page(s): 277 - 281
    Cited by:  Papers (8)
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    Recently, Papoulis has developed a new class of filters, which has the maximum cutoff rate under the condition of a monotonically-decreasing response. These new filters are based on the optimum monotonically-increasing polynomials of odd degrees. In this paper, the optimum polynomials of even degrees are presented in general forms, from which the optimum filters with monotonic response are derived. Characteristics of these filters are illustrated by several examples which include frequency response, pole locations and the ladder realizations. View full abstract»

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  • On a Problem of Network Topology

    Publication Year: 1959 , Page(s): 261 - 266
    Cited by:  Papers (6)
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    In mesh-basis analysis of networks with mutual and active elements, it is necessary to list all possible trees or cotrees and signs of cotree determinants. This paper provides a computational method for obtaining them. Computations are based on fundamental circuit matrices. A transformation from one tree to another tree may be performed by elementary transformations on circuit matrices. By this method, all the trees and fundamental circuit matrices may be determined. Signs of cotree determinants and their minor determinants of a fundamental circuit matrix also may be easily determined. View full abstract»

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  • A Property of the Generalized Envelope

    Publication Year: 1959 , Page(s): 325
    Cited by:  Papers (2)
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  • Envelope and Angle Response of Asymmetrical Narrow-Band Networks

    Publication Year: 1959 , Page(s): 292 - 295
    Cited by:  Papers (1)
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    This paper outlines a general approach to the evaluation of envelope and angle response of narrow-band networks including asymmetrical networks. From a known constellation of poles and zeros of a network in the s -plane, approximate linearized transfer functions are developed which relate envelope and angle response of the network to the amplitude modulation of the forcing function for small signal conditions (shallow modulation). The transfer functions are expressed in terms of two auxiliary constellations in the p -plane, where p is equivalent to the complex frequency of modulation. View full abstract»

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  • A Note on Zeros of Reflection and Transmission in a Cascade of Lossless Two-Terminal-Pair Networks

    Publication Year: 1959 , Page(s): 282 - 287
    Cited by:  Papers (2)
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    Certain properties of cascade-connected, two-terminal-pair lossless networks are investigated. Particular reference is made to the duo-cascade (two-terminal-pair networks) and the trio-cascade (three two terminal-pair networks). In the first part of the paper, theorems and proofs pertaining to inter-relations among the reflection and transmission coefficients of the complete cascade and the two-terminal-pair networks are presented. In the second part of the paper, a discussion of degenerate transmission zeros is presented. In the third section, the effects on transmission coefficients of adding various right-half s -plane zeros of reflection are investigated. Reflection zeros are added so that the real frequency magnitude of a reflection coefficient is invariant under the addition of reflection zeros. View full abstract»

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  • Steady-State Analysis of Circuits Containing a Periodically-Operated Switch

    Publication Year: 1959 , Page(s): 252 - 260
    Cited by:  Papers (11)
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    The exact conversion functions are calculated for networks containing one periodically operated switch, using familiar pole-zero and Fourier methods of analysis. It is first assumed that the switch is alternately open and closed during equally long time intervals. Circuits whose driving-point impedance Z(p) seen from the switch has neither pole nor zero at infinity are treated in detail. The analysis is then extended in order to allow for impedances Z(p) having either a pole or a zero at p = \infty . Complete results are also given for circuits whose switch is alternately open during time intervals of duration, T_1 , and closed during intervals of duration, T_2 \neq T_1 . The general analysis is applied to a series modulator and the realization of a given function of frequency as conversion function of such a modulator is investigated. Throughout this paper, the impedance Z(p) is assumed to have only simple poles and simple zeros. View full abstract»

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  • Steady-State Transmission through a Network Containing a Single Time-Varying Element

    Publication Year: 1959 , Page(s): 244 - 252
    Cited by:  Papers (17)
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    This paper presents a method of steady-state analysis of a linear network, of arbitrary degree of complexity, containing a single periodically-varying element. The proposed method makes full use of circuit theoretical ideas, such as impedance matching and tearing apart, and of iteration techniques which are particularly suitable for automatic computation. The proposed method has the additional feature of leading to the amplitude and phase of all sidebands and of giving a bound on the error if the iterations are stopped at any particular point. More precisely, it is shown that, provided the impedance seen by the time-varying element becomes capacitive at very high frequencies, the complete solution can be found within an arbitrary amount of accuracy. View full abstract»

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  • RC Constant-Argument Driving-Point Admittances

    Publication Year: 1959 , Page(s): 310 - 317
    Cited by:  Papers (9)
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    This paper deals with a class of RC driving-point immittances characterized by nearly constant argument over an extended frequency range. These arguments may have an average value between the limits zero and \pi/2 radians. Networks having near constant argument are of importance in shaping the phase character of the forward gain in feedback systems. These networks have arguments that oscillate about a mean value and the nature of this oscillation is discussed. The poles of admittance are geometrically spaced along the negative-real frequency axis, and consequently the elements of the network' can be thought of as "spaced." The immittance functions and argument oscillations for the 22-1/2^{\circ} , 45^{\circ} and 67- 1/2^{\circ} cases as a function of spacing are fully discussed. An application to a feedback amplifier design is given. View full abstract»

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  • Optimization of Negative-Impedance Conversion Methods of Active RC Synthesis

    Publication Year: 1959 , Page(s): 296 - 303
    Cited by:  Papers (27)
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    Negative-impedance conversion methods of active RC synthesis lead to networks which are highly sensitive to active and passive parameters. In the design of such networks there is some freedom available, which may be used to minimize the sensitivity of the structure to both the active and passive parameters. In most cases, the problem is that of decomposing a polynomial with real coefficients into the differences of two polynomials with negative real zeros such that the latter two polynominals have coefficients which are as small as possible. The optimum design is presented. View full abstract»

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