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IRE Transactions on Circuit Theory

Issue 4 • Date December 1956

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Displaying Results 1 - 21 of 21
  • Systems Analysis of Discrete Markov Processes

    Publication Year: 1956, Page(s):257 - 266
    Cited by:  Papers (33)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1161 KB)

    The properties of discrete Markov processes are related to those of analogous linear, time-invariant, sampled-data systems. Methods are given for the systems-analysis solution and interpretation of problems and theorems relating to such Markov processes. Correlation functions of signals generated by Markov processes are determined. Transform procedures, flow graphs, and signal-flow ideas play an i... View full abstract»

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  • On the chain matrix of cascaded networks

    Publication Year: 1956, Page(s):297 - 298
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (222 KB)

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  • Abstracts of Foreign Language Articles on Circuit Theory

    Publication Year: 1956, Page(s): 297
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    Freely Available from IEEE
  • Prospectus for IRE Transactions on Active Networks

    Publication Year: 1956, Page(s):298 - 299
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (265 KB)

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  • The Theory of Analytic Band-Limited Signals Applied to Carrier Systems

    Publication Year: 1956, Page(s):244 - 251
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (952 KB)

    The recently-developed concept of the "analytic signal," together with that of bandwidth-limited signals, is used to construct a general theory of amplitude modulation. The basic definition and properties of an "analytic signal" are reviewed with particular reference to band-limited signals. The "analytic signal" is a signal of the form z(t) = x(t) + jy(t) = p...
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  • A Study of Rough Amplitude Quantization by Means of Nyquist Sampling Theory

    Publication Year: 1956, Page(s):266 - 276
    Cited by:  Papers (96)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1288 KB)

    Quantization is an operation that takes place when a physical quantity is represented numerically. It is the assignment of an integral value to a physical quantity corresponding to the nearest number of units contained in it. Quantization is like "sampling-in-amplitude," which should be distinguished from the usual "sampling-in-time." The probability density distribution of the signal is sampled i... View full abstract»

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  • On Nonuniform Sampling of Bandwidth-Limited Signals

    Publication Year: 1956, Page(s):251 - 257
    Cited by:  Papers (179)  |  Patents (10)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (824 KB)

    The purpose of this investigation is to examine four special nonuniform sampling processes in detail, and to deduce some interesting properties of bandwidth-limited signals. The main results are contained in four generalized sampling theorems. These theorems not only contain the nature of determination (unique-specification, over-specification, and underspecification) of signals but also include e... View full abstract»

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  • Definitions of 'Bandwidth' and 'Time Duration' of Signals Which Are Connected by an Identity

    Publication Year: 1956, Page(s):286 - 288
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (264 KB)

    In this paper we give definitions of "equivalent time duration" \Delta \tau and "equivalent bandwidth" \Delta f and show that they are connected by a simple reciprocal identity. An example is given and it is shown that the same concepts can be applied in antenna theory to give useful definitions of "equivalent aperture d... View full abstract»

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  • Ladder Network Analysis by Signal-Flow Graph-Application to Analog Computer Programming

    Publication Year: 1956, Page(s):289 - 294
    Cited by:  Papers (14)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (552 KB)

    S. Mason's signal flow graph technique is applied to the analysis of ladder networks. Briefly, the flow graph of a ladder is developed using Ohm's and the two Kirchhoff's equations. The graph is then reciprocated so that it contains only forward paths. The transfer function, in the case of a simple ladder, is the reciprocal of the sum of all distinct paths from the output to the input node. In the... View full abstract»

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  • Limiting Conditions on the Correlation Properties of Random Signals

    Publication Year: 1956, Page(s):282 - 285
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (464 KB)

    A system of n signals that has random character is completely characterized by its self-power spectra and cross-power spectra which, when normalized, can be combined in a correlation matrix. It is shown that the correlation matrix must fulfill the fundamental condition that none of its principal minors is negative. It is shown that no further restriction exists... View full abstract»

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  • Analysis of Linear n-Port Networks

    Publication Year: 1956, Page(s): 296
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  • A Transistorized DC Amplifier

    Publication Year: 1956, Page(s): 285
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  • Inter-Reciprocity Applied to Electrical Networks

    Publication Year: 1956, Page(s):296 - 297
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  • System Theory as an Extension of Curcuit Theory

    Publication Year: 1956, Page(s):217 - 223
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (992 KB)

    The attitudes and techniques of circuit analysis and synthesis can profitably be extended to system analysis and design. The main problems of system analysis are characterization of components and combination of component characteristics into system characteristics. Techniques analogous to familiar circuit theory techniques are applicable to the study of noncircuit problems. As an example, the ana... View full abstract»

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  • Signal Theory

    Publication Year: 1956, Page(s):210 - 216
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (968 KB)

    It is suggested that much of the subject matter now lumped under the heading of "circuit theory" might better be called "system theory," which in turn may be separated into three subdivisions-that which deals with the representation of the physical elements; that which deals with the representation of the signals, and that which deals with the representation of the transformations and relations be... View full abstract»

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  • The Continuous Delay-Line Synthesizer as a System Analogue

    Publication Year: 1956, Page(s):295 - 296
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  • On the Identification Problem

    Publication Year: 1956, Page(s):277 - 281
    Cited by:  Papers (22)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (568 KB)

    The identification problem involves the determination of the identity of a black box from the observation of its responses to a set of input signals. In this paper attention is focused on the identification of zero-memory multipoles and two-poles of class n_1 . The test signals are sine waves of different amplitudes and frequencies, and the measured quanity i... View full abstract»

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  • A System-Theory Perspective for Signal Theory

    Publication Year: 1956, Page(s):208 - 209
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (264 KB)

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  • Limiting Conditions on the Correlation Properties of Random Signals

    Publication Year: 1956, Page(s): 299
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  • Signal Theory in Speech Transmission

    Publication Year: 1956, Page(s):232 - 244
    Cited by:  Papers (7)  |  Patents (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1680 KB)

    The mechanism of speech production imposes a number of well-defined constraints on the resulting acoustic wave. The nature of these constraints is associated with the anatomy of the human vocal tract and vocal cords. This mechanism can be characterized as a time-varying linear dynamic system excited alternatively by a noise or pulse source which contains only frequencies much higher than the varia... View full abstract»

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  • The Use of Least Squares in System Design

    Publication Year: 1956, Page(s):224 - 231
    Cited by:  Papers (22)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1008 KB)

    Approximation, realization, and alignment in the circuit theoretic sense are the essential ingredients in the development of a large class of physical systems. It is shown that the method of least squares is an effective tool for obtaining "optimum" performance in the three facets of system design. Tangent descent and Taylor Series are recommended for use in the application of least squares to sys... View full abstract»

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