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IEEE Transactions on Circuits and Systems

Issue 1 • Date January 1977

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Displaying Results 1 - 8 of 8
  • On the quantization error bounds in second-order digital filters with complex conjugate poles

    Publication Year: 1977, Page(s): 45
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (108 KB)

    It is shown that for the special case when \theta = \pi / N , N being an integer, the lowest bound on quantization errors in second-order digital filters with complex conjugate poles assumes a simple form that is easy to compute and that is equally valid for \theta near zero and View full abstract»

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  • High-Q low-cost RC active filters: The RIMF section

    Publication Year: 1977, Page(s):35 - 41
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (720 KB)

    The real integrator multiple-feedback (RIMF) section is proposed in order to realize low-cost high- Q RC active second-order filters. It has been designed after taking into account the fact that a low-cost OA is in practice a real integrator, that is an ideal integrator with finite dc gain, input resistance, and output condu... View full abstract»

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  • Compartmental system analysis: Realization of a class of linear systems with physical constraints

    Publication Year: 1977, Page(s):8 - 14
    Cited by:  Papers (25)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (776 KB)

    This paper considers the compartmental system analysis from the system theoretic point of view. The specific problem treated here is that of realization of rational transfer function in the form \dot{x} (t) = Ax(t)+ bu(t), y(t)= c' x(t) . This problem, however, differs from the usual one in that physical consideration ... View full abstract»

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  • Limit cycles in a two-dimensional first-order digital filter

    Publication Year: 1977, Page(s):15 - 19
    Cited by:  Papers (23)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (424 KB)

    Limit cycles in a two-dimensional first-order digital filter are analyzed. Sufficient conditions for the nonexistence and sufficient and necessary conditions for the existence of limit cycles in the filter are derived. The limit cycles are of the two-dimensional degenerate type. Periods and an upper bound on the magnitudes of the limit cycles are also presented. View full abstract»

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  • An O(N^2) algorithm for partial fraction expansion

    Publication Year: 1977, Page(s):42 - 45
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (408 KB)

    A new O(N^2) algorithm for partial fraction expansion with multiple poles is presented, which is simpler and somewhat faster than the known methods. A short and general WATFIV program is included. View full abstract»

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  • Distributed networks with small parasitic elements: Input-output stability

    Publication Year: 1977, Page(s):1 - 8
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (872 KB)

    This paper considers a linear time-invariant network cal N , made of lumped and distributed elements ( R, L, C, M, transformers, gyrators, controlled and independent sources, transmission lines). The positive number \epsilon is a small number, proportional to the size of the stray l... View full abstract»

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  • On unit element structures for wave digital filters

    Publication Year: 1977, Page(s):20 - 28
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (904 KB)

    A design procedure is presented for unit element filters which consist of a chain of shunt capacitances separated by cascaded unit elements having the same characteristic impedance. Based on an equal-ripple characterization of the passband response and somewhat related to the Remez algorithm, it uses a symbolic analysis of the unit element filter to perform the necessary gradient computations. Clo... View full abstract»

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  • Synthesis of N-dimensional recursive digital filters by Taylor series expansion

    Publication Year: 1977, Page(s):28 - 34
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (688 KB)

    Using vector notation, a direct and simple technique for expressing the impulse response of a multidimensional digital filter in terms of the coefficients of its transfer function is presented. Based upon these results, rules for the propagation of coefficients in the impulse response are derived, and a synthesis procedure for obtaining a recursive transfer function to approximate a given infinite... View full abstract»

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