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IEEE Transactions on Circuits and Systems

Issue 4 • April 1977

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Displaying Results 1 - 9 of 9
  • Necessary and sufficient conditions for synchronization of nonlinear oscillators with a given class of coupling

    Publication Year: 1977, Page(s):209 - 215
    Cited by:  Papers (11)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (583 KB)

    Necessary and sufficient conditions are provided for phase synchronization of systems of identical nonlinear oscillators. The oscillators considered are described by the set of equationsdot{f}_i=f_1(x_i,y_i,mu)dot{y}_i= f_2(x_i,y_i,mu)i= 1,cdots,n. The type of coupling considered isdot{x}_i = f_1 (x_i,y_i,mu) + Sigma_{j=1}^{n} g_1(x_j- x_i)... View full abstract»

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  • A note on frequency and Q limitations of active filters

    Publication Year: 1977, Page(s):215 - 218
    Cited by:  Papers (8)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (334 KB)

    The effect of finite gain bandwidth of nonideal operational amplifier on the performance of most of the second-order active filters is presented. The variation of the center frequencyomega_0and the quality factorQof these filters due to the finite gain bandwidth is evaluated in detail. The usefulness of these filters for specific tolerances onomega_0andQ... View full abstract»

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  • A new approach to gain-bandwidth problems

    Publication Year: 1977, Page(s):170 - 175
    Cited by:  Papers (144)  |  Patents (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (680 KB)

    A new idea for treating the broad-band matching of an arbitrary load to a resistive generator leads to a simple technique for the design of a lossless 2-port equalizer. The method is a numerical one, and only utilizes real frequency (e.g., experimental) load impedance data. No model or analytic impedance function for the load is necessary. Nor is the equalizer topology or analytic form of the syst... View full abstract»

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  • Explicit formulas for the synthesis of optimum broad-band impedance-matching networks

    Publication Year: 1977, Page(s):157 - 169
    Cited by:  Papers (35)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1120 KB)

    The paper shows that the most practical RLC load can be optimally matched to a resistive generator over a finite frequency band to achieve the Butterworth or Chebyshev transducer power-gain characteristic of arbitrary order, justifying and extending the procedure given in the literature. Explicit formulas for the optimum design of these matching networks are presented, thus avoiding the necessity ... View full abstract»

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  • Some stability properties of two-dimensional linear shift-invariant digital filters

    Publication Year: 1977, Page(s):201 - 208
    Cited by:  Papers (178)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (728 KB)

    This paper presents a detailed discussion of stability of twodimensional linear digital filters, and the subtle differences between the one-dimensional and two-dimensional cases. In particular, it is shown that the fact that the impulse response trails off to zero, or more stringently is square summable does not guarantee BIBO (bounded-input-bounded-output) stability. Necessary conditions for the ... View full abstract»

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  • Thickness of graphs with degree constrained vertices

    Publication Year: 1977, Page(s):184 - 190
    Cited by:  Papers (8)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (688 KB)

    Simple formulas are obtained for the thickness of complete and complete bipartite graphs when the degrees of the vertices of the planar subgraphs are constrained by the requirements of routing in rectilinear metric, using essentially Euler's formula and certain constructive procedures. These results are also suitable for adaptation in graphs with other degree constraints on vertices, and are poten... View full abstract»

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  • On another approach to the Schur-Cohn criterion

    Publication Year: 1977, Page(s):218 - 220
    Cited by:  Papers (33)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (304 KB)

    Some well-known properties of polynomials orthogonal on the unit circle are used to provide a simple proof of the Schur-Cohn stability criterion. Some complements are also briefly noted. View full abstract»

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  • On low-sensitivity realizations of band-elimination active filters

    Publication Year: 1977, Page(s):175 - 183
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1048 KB)

    The results of an empirical search for low-sensitivity bandelimination active filters are presented. The search was oriented toward coupled topologies (leapfrog, coupled biquad, shifted companion form) and realizations that simulate passive structures (FDNR), as opposed to a solution by optimization. An 8th-order band-elimination filter was used as an example. A comparison between the above-mentio... View full abstract»

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  • The use of residue number systems in the design of finite impulse response digital filters

    Publication Year: 1977, Page(s):191 - 201
    Cited by:  Papers (186)  |  Patents (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1232 KB)

    A technique is presented for implementing a finite impulse response (FIR) digital filter in a residue number system (RNS). For many years residue number coding has been recognized as a system which provides a capability for the implementation of high speed multiplication and addition. The advantages of residue coding for the design of high speed FIR filters result from the fact that an FIR require... View full abstract»

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