Transactions of the IRE Professional Group on Circuit Theory

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  • Power Gain in Feedback Amplifier

    Publication Year: 1954, Page(s):20 - 25
    Cited by:  Papers (165)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (519 KB)

    A linear three-terminal deviceZis imbedded in a lossless passive network N and the properties of the complete system, as measured at two specified terminal pairs, are described by the open-circuit impedancesZ_{11}, Z_{12}, Z_{21},andZ_22. A search for properties ofZwhich are invariant under the transformation N leads to the quantityU = \frac{|Z_{21}... View full abstract»

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  • What is Network Synthesis?

    Publication Year: 1952, Page(s):4 - 19
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (1196 KB)

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  • A Method to Solve Very Large Physical Systems in Easy Stages

    Publication Year: 1953, Page(s):71 - 90
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (1519 KB)

    Physical systems with very large number of variables (say with tens of thousands of variables) may be solved with already available digital computers by tearing the system apart into a large number of small subdivisions, solving each subdivision separately, afterward interconnecting the partial solutions by a set of transformations to obtain outright the exact solution of the original system, Amon... View full abstract»

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  • Unbalanced RLC Networks Containing Only One Resistance and One Real Transformer

    Publication Year: 1953, Page(s):55 - 70
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (1068 KB)

    Any transfer function, in order to be physically realizable as a lossless coupling network terminated in a single resistance, must have an even or odd polynomial as its numerator. Such a function, representing a transfer admittance, a transfer voltage ratio, or a transfer impedance, can be realized by the method of this paper as a lossless lattice network terminated in resistance and possessing no... View full abstract»

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  • Communication Theory and Cybernetics

    Publication Year: 1954, Page(s):19 - 31
    Cited by:  Papers (15)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (1649 KB)

    In the case of band-limited signals, the sampling theorem permits us to replace analytic operations with algebraic operations. We are then able to discuss problems of measurement of information, coding, and transmission over noisy channels in terms of discrete samples, rather than continuous time functions. The design of the optimum linear filter reduces from a very difficult analysis problem invo... View full abstract»

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  • Transient synthesis in the time domain

    Publication Year: 1954, Page(s):29 - 39
    Cited by:  Papers (160)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (881 KB)

    One of numerous available methods is described for synthesizing a network to have a specified transient response, with emphasis placed on the actual procedure of solution. This method, which is based upon the use of orthogonal exponential functions, is carried out prin- cipally by time-domain rather than the more common frequency- domain operations. It enjoys a broader applicability than most othe... View full abstract»

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  • Foster's Reactance Theorem

    Publication Year: 1953, Page(s): 106
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (82 KB)

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  • The Approximation Problem of Network Synthesis

    Publication Year: 1954, Page(s):5 - 20
    Cited by:  Papers (10)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (2312 KB)

    The approximation problem of network synthesis is surveyed with extensive reference to the recent literature, encompassing both the frequency and the time domains. The topics reviewed include the concept of complex frequency, approximation by point-coincident polynomials, and the Fourier series method. Butterworth functions for maximally flat approximation and Tchebycheff polynomials for equal-rip... View full abstract»

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  • Transient Response of Cascaded-Tuned Circuits

    Publication Year: 1954, Page(s):65 - 68
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (400 KB)

    The transient response of two cascaded stagger-tuned amplifier stages to a pulse of arbitrary carrier frequency is derived, starting from the response of a single-tuned circuit. The results are obtained by solving the differential equation of the network, and by employing a simple stratagem that immediately yields the arbitrary constants. The result is extended to three stagger-tuned stages, and t... View full abstract»

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  • Error Criterion vs. Harmonic Content

    Publication Year: 1954, Page(s): 70
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (166 KB)

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  • On the Bott-Duffin Synthesis of Driving-Point Impedances

    Publication Year: 1954, Page(s): 68
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (132 KB)

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  • Reciprocity Relations in Active 3-Terminal Elements

    Publication Year: 1954, Page(s):17 - 20
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (386 KB)

    A vacuum-tube or a transistor, operating linearly under small-signal conditions, may be represented as a resistive (i.e., non-reactive) 3-terminal network element. Such an element may be considered as composed of a tri-angle of resistors and a 3-terminal gyrator. If the element is active, at least one of the resistors is negative. The activity or passivity of the element is shown to be dependent o... View full abstract»

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  • Synthesis of Transfer Functions by Active RC Networks

    Publication Year: 1954, Page(s):8 - 17
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (964 KB)

    The paper considers the synthesis of arbitrary passive transfer functions using stable active RC networks. The work undertaken is oriented toward discussing general methods of synthesis rather than specific design procedures. The structures used consist of single unidirectional feedback loops. These methods, although by no means providing the most general procedure for the synthesis of active netw... View full abstract»

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  • Simultaneous Oscillations in Oscillators

    Publication Year: 1954, Page(s):2 - 8
    Cited by:  Papers (31)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (597 KB)

    An oscillator with two degrees of freedom can, under certain conditions, oscillate simultaneously at two different frequencies. The ratio of the two frequencies may be rational (synchronous oscillations) or irrational (asynchronous oscillations). The conditions necessary for 'simultaneous oscillations are discussed for these two cases. The problem is essentially non-linear and cannot be solved by ... View full abstract»

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  • Synthesis of Transfer Functions with Poles Restricted to the Negative Real Axis

    Publication Year: 1952, Page(s):35 - 56
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (1392 KB)

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  • A Mathematical Analysis of a Dielectric Amplifier

    Publication Year: 1952, Page(s):68 - 80
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (920 KB)

    This paper presents a mathematical analysis of the fundamental circuit on which the operation of dielectric amplifiers depends. The analysis is based on the assumption that the effective hysteresie curve of the amplifier's dielectric material may be represented by a hyperbolic sine function. The cases of resistive and inductive loads are analyzed, and expressions for the steady-state input and out... View full abstract»

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