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Circuit Theory, Transactions of the IRE Professional Group on

Volume CT-1: 1954

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Displaying Results 1 - 8 of 8
  • Suggestions for an Improved Terminology

    Publication Year: 1954 , Page(s): 42
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  • On the Definition of 'Sensitivity'

    Publication Year: 1954 , Page(s): 42
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  • Abstracts of articles on circuit theory

    Publication Year: 1952 , Page(s): 35 - 40
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  • The Measurement and Representation of Nonlinear Systems

    Publication Year: 1954 , Page(s): 32 - 34
    Cited by:  Papers (3)
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    Measurements of the response of a nonlinear system to one or more inputs can be used to obtain an approximate mathematical statement of the way in which the response depends upon the input. Such a statement can be used to predict the response of the system to inputs other than those used in the measurements. A general approach is presented in which the response is approximated by a linear combination of responses of known systems. The coefficients in this combination are the parameters that are to be determined. Choice of these parameters to minimize the mean-square value of the difference between the linear combination and the actual response is shown to lead to a set of equations that are linear in the system parameters. The quantities that must be measured are the values of the cross-correlation of the response with the responses of the known systems. Methods proposed by Singleton and Weiner are presented as specific examples. Methods more general than the least-mean-square approach are described briefly. The criteria by which any of these measurement and characterization procedures can be evaluated are discussed. View full abstract»

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  • Communication Theory and Cybernetics

    Publication Year: 1954 , Page(s): 19 - 31
    Cited by:  Papers (9)
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    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 involving spec- trum factorizatlon to a straightforward problem of solving a set of simultaneous linear equations. Unless we are interested in the most economical implementation, it is not even necessary to solve the equations. since a synthesis procedure involving only simple functions of the correlation functions is available. When extended to the general nonlinear case, the design is still specified by a set of simultaneous algebraic equations, but the labor of solution grows very rapidly. It is proposed to short circuit this labor by building a learning filter which in effect designs itself. A training period in which the adjust- ments are automatically optimized precedes the use period. By modi- fying the training program, it is possible that the filter could be taught to recognize specific signals, including, perhaps, certain speech sounds. View full abstract»

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  • Steady-State Oscillations in Nonlinear Multi-Loop Circuits

    Publication Year: 1954 , Page(s): 13 - 18
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    This paper treats the analysis of nonlinear systems having more than a single degree of freedom. The method used is the Ritz or Ritz- Galerkin, which has been extensively applied to statical problems in elasticity and to eigenvalue problems of various types. Until very re- cently, however, it has rarely been applied to dynamical problems other than eigenvalue ones. As shown by some specific examples, the method proves to be a powerful one for the purposes at hand. View full abstract»

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  • Analysis of Multi-Loop Nonlinear Systems

    Publication Year: 1954 , Page(s): 6 - 12
    Cited by:  Papers (1)
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    In many multi-loop nonlinear systems, it is possible to get from the original set of simultaneous differential equations a single differential equation of a higher order. The high order nonlinear differential equa- tion can be solved by an n -dimensional phase-space method, which is an extension of the phase-plane method. As an illustration, a three- loop system is analyzed. Numerical examples for a two-loop system with nonlinear elements either in one of the loops or in the coupling are also given. Two-dimensional trajectories are shown as projections of phase-space trajectories. View full abstract»

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  • Nonlinear Filters

    Publication Year: 1952 , Page(s): 2 - 5
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