IEEE Transactions on Circuits and Systems

Issue 8 • August 1976

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Displaying Results 1 - 7 of 7
  • Roundoff noise bounds derived from coefficient sensitivities for digital filters

    Publication Year: 1976, Page(s):481 - 485
    Cited by:  Papers (64)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (567 KB)

    The sensitivities of the transfer function of a digital filter with respect to its coefficients are utilized to derive lower bounds on the roundoff noise output in the cases ofL_{infty}andL_{infty}scaling for fixed-point arithmetic. General bounds are produced which apply to any filter structure if rounding is performed after multiplication and the filter has already been sca... View full abstract»

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  • A useful sensitivity measure for second-order RC active filter design

    Publication Year: 1976, Page(s):506 - 508
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (297 KB)

    A new sensitivity measure is proposed 'that could be useful for comparison between or optimization of second-order filter cells. It can be related to the well-knownQ- andomega_{0}-sensitivities by a simple analytic expression, yet It Is a more realistic design criterion. Furthermore it is shown that high-Qcells should not be compared on basis of theirQ- ... View full abstract»

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  • Maximally flat low-pass transfer function synthesis using continuous and discrete filters

    Publication Year: 1976, Page(s):510 - 513
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (378 KB)

    Discrete linear uniformly sampled digital filters are often employed in situations where there exists some preliminary linear analog continuous filtering operation. The latter continuous filter transfer functionP(s)is usually a low-pass function that is required for such purposes as reducing the effects of aliasing, limiting the dynamic range of the signal prior to digitization, etc. Th... View full abstract»

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  • Volterra series describing the substitution of nonlinear components in nonlinear networks

    Publication Year: 1976, Page(s):509 - 510
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (248 KB)

    A generalized Volterra series expansion is given that describes the behavior of a time-invarient nonlinear network as a function of the nonlinear behavior of an individual component. This series arises from a recent generalization by Dwyer of Volterra series, namely, Fock spaces of rigged Hilbert spaces. Only in very special cases, e.g., when both the component and network are linear, is the resul... View full abstract»

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  • Basic properties of Hilbert networks

    Publication Year: 1976, Page(s):490 - 497
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (1048 KB)

    A brief survey of basic results on Hilbert networks is given. Theorems on the existence and uniqueness of a current distribution, some results of qualitative character, and some results concerning causality are presented. Moreover, properties of the driving point-set impedance (DPSI) are discussed. View full abstract»

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  • Indefinite-admittance matrix formulation of feedback amplifier theory

    Publication Year: 1976, Page(s):498 - 505
    Cited by:  Papers (11)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (872 KB)

    It is shown that the return-difference and the null return-difference functions of a feedback amplifier can be elegantly and compactly formulated in terms of the first- and the second-order cofactors of the elements of its indefinite-admittance matrix. The relationship between the generalized cofactors of the elements of the cutset-admittance matrix and the second-order cofactors is indicated. Bas... View full abstract»

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  • On the design of recursive digital filters

    Publication Year: 1976, Page(s):485 - 489
    Cited by:  Papers (8)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (504 KB)

    A change of variables is described which transforms the problem of designing a recursive digital filter to that of approximation by a ratio of polynomials on a finite interval. Some analytic techniqueS for the design of low-pass filters are presented, illustrating the use of the tfransformation. Also considered are methods for the design of phase equalizers. View full abstract»

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