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Circuits and Systems, IEEE Transactions on

Issue 2 • Date Feb 1985

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Displaying Results 1 - 13 of 13
  • The doubly terminated lossless digital two-pair in digital filtering

    Publication Year: 1985 , Page(s): 197 - 200
    Cited by:  Papers (2)  |  Patents (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (448 KB)  

    A digital lossless two-pair terminated at both ends with "passive" multipliers is studied. Conditions for low sensitivity of the transfer-function magnitude with respect to the digital multiplier coefficients are derived. It is shown that low sensitivity property can be achieved by forcing certain "matching" conditions, at the terminations. The application of these results to the understanding of some well-known digital filter structures is outlined. In particular, it is shown that the coupled-form biquad can be interpreted as a doubly terminated lossless digital two pair, and that it satisfies the "termination matching conditions" for almost all pole locations. All results derived in the paper are based on independent z -domain arguments. View full abstract»

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  • A probabilistic mechanism for small disturbance instabilities in electric power systems

    Publication Year: 1985 , Page(s): 177 - 184
    Cited by:  Papers (23)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (920 KB)  

    Unstable, oscillatory behavior has been observed on several occasions in electrical power systems operated in an unfaulted, normal state under moderate load. In some cases system failure has resulted from this behavior. In this paper, we report on some recent results in the mathematics of stochastic processes which suggest a mechanism leading to small disturbance instabilities of this type in power systems. Unstable oscillations in power angles may be produced in a system consisting of a synchronous machine with negligible damping weakly coupled through randomly fluctuating links to other machines each with positive damping. The assumptions necessary to structure the model to produce this behavior are simple, flexible and consistent with possible operating conditions in an electrical power system. View full abstract»

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  • Adaptive noise cancellation for a class of nonlinear, dynamic reference channels

    Publication Year: 1985 , Page(s): 143 - 150
    Cited by:  Papers (32)  |  Patents (2)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (880 KB)  

    The computational complexity of nonlinear adaptive noise cancellation can be reduced by restricting the nonlinearity expected in the reference path to the noise canceler. The class of zero memory nonlinearities preceded by linear processors in the reference path is considered. Noniterative and iterative methods of system identification are applied to the determination of processor parameters in the noise canceler. The computational requirements of each of the algorithms are compared, and the iterative method is modified for improved convergence. Experimental results are presented for the modified iterative algorithm. View full abstract»

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  • Competitive power extraction from linear n-ports

    Publication Year: 1985 , Page(s): 185 - 191
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (752 KB)  

    A competitive power extraction problem is defined where the power at each load connected to a linear n -port is to be maximized. Complete solutions to the resistive two-port and reactive two-port cases are presented. Some preliminary results for the resistive n -port case are indicated. View full abstract»

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  • Stability analysis of fixed- point digital filters using computer generated Lyapunov functions- Part I: Direct form and coupled form filters

    Publication Year: 1985 , Page(s): 113 - 132
    Cited by:  Papers (40)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (2160 KB)  

    We demonstrate the applicability of the constructive stability algorithm of Brayton and Tong in the stability analysis of fixed-point digital filters. In the present paper, we consider direct form and coupled form filters while in a companion paper we treat wave digital filters and lattice filters. We compare our results with existing ones which deal with either the global asymptotic stability of digital filters or with existence (resp., nonexistence) of limit cycles in digital filters. Several of the present results are new while some of the present results constitute improvements over existing results. In a few cases, the present results are more conservative than existing results. It is emphasized that whereas the existing results are obtained by several diverse methods, the present results are determined by one unified approach. View full abstract»

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  • The no-gain theorem and localized response for the decoupled P - h\eta power network with active power losses included

    Publication Year: 1985 , Page(s): 170 - 177
    Cited by:  Papers (13)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (1024 KB)  

    In this paper a no-gain theorem for electric power systems is presented using the S- E model based decoupled active power-phase angle P - \theta network, in which each transmission element consists of two branches, representing transmitted power and loss power. The theorem gives necessary and sufficient conditions such that if a power system is perturbed from its normal operating point then the magnitude of the change in active power through either branch of a given transmission line S- E graph is not greater than the sum of the magnitudes of the changes in active power through the sources. These conditions are given as a region of allowable perturbations, which are derived as a set of inequalities. Based on this result we present a proof, valid for systems with losses, of localized steady state response. Specifically, we prove that the effects of a single fault in a given power system diminish as one moves away from the fault, subject only to the constraint that the operating point of the system remains within the allowable regions given by the no-gain theorem. This result is often assumed without proof to be valid in the entire operating region. View full abstract»

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  • A general realization scheme of periodically time-varying digital filters

    Publication Year: 1985 , Page(s): 204 - 207
    Cited by:  Papers (8)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (496 KB)  

    A new method is introduced for the exact decomposition of a linear M th-order periodically time-varying digital filter into a set of independent, linear time-invariant, M th-order digital filters, each one of which is a single-input, multiple-output system plus a set of parallel blocks of multiply-in, add-out type of operations. It is shown that the adopted vector decomposition approach yields a general realization scheme that exhibits high parallelism as well as great regularity. The application of the vector decomposition method to the realization of linear time-invariant digital filters is also examined as a special case of the general one. View full abstract»

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  • On the roundoff noise in 2-D state-space digital filtering

    Publication Year: 1985 , Page(s): 201 - 204
    Cited by:  Papers (15)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (464 KB)  

    The output roundoff noise variance and the scaling of the internal registers are associated with two impulse response sequences. Furthermore, two Lyapunov equations are established, corresponding to those which have been already used for the noise analysis and optimal structure synthesis in the 1-D case. An analytic formula is given for the solution of the Lyapunov equations. Thus the known techniques from the 1-D filters can be directly extended. View full abstract»

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  • A new global optimization method for electronic circuit design

    Publication Year: 1985 , Page(s): 160 - 170
    Cited by:  Papers (12)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (1336 KB)  

    This paper describes an algorithm which can determine a neighborhood of the global optimum of an objective function as well as an estimate of the global optimum. Given this information, a local optimization procedure can be employed to locate the global optimum. The utility of this algorithm is demonstrated by several examples. View full abstract»

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  • Realizability and synthesis for infinite grids of positive resistances

    Publication Year: 1985 , Page(s): 192 - 196
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (624 KB)  

    A semi-infinite resistive grid can be characterized from its boundary conditions by a certain function F(z) of the complex variable z . We establish herein both pole-zero and pole-residue realizability conditions that insure that F(z) does represent a resistive grid. We also show how that grid can be synthesized from a realizable F(z) . These results are established for both two-dimensional and three-dimensional grids. View full abstract»

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  • A counterexample to a recent MKY type lemma concerning discrete-time systems stability

    Publication Year: 1985 , Page(s): 207
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (88 KB)  

    A deficiency of a previously reported extension of the MKY lemma concerning discrete-time systems stability is pointed out. View full abstract»

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  • Stability analysis of fixed- point digital filters using computer generated Lyapunov functions- Part II: Wave digital filters and lattice digital filters

    Publication Year: 1985 , Page(s): 132 - 142
    Cited by:  Papers (12)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (1056 KB)  

    In a companion paper [4], we utilize the constructive stability algorithm of Brayton and Tong in the stability analysis of fixed-point digital filters which are in the direct form and in the coupled form. We continue this work in the present paper by considering wave digital filters and lattice digital filters. We believe that the results of the present paper and its companion paper demonstrate that the constructive algorithm constitutes an effective and general approach in the qualitative analysis of fixed-pointed digital filters. View full abstract»

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  • Signal processing using implicit phase

    Publication Year: 1985 , Page(s): 150 - 159
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (1072 KB)  

    A frequency-domain technique is presented for measuring the average location of the energy of, a sequence. Several properties of the measure are listed and proved. A simple time-domain approximation to the measure is derived and an upper bound on the error of approximation is found. The effects of noise on the measure are thoroughly analyzed. The measure can be used to find and remove the linear part of a Fourier transform's phase without any arctangent operations. it can be used to locate individual signal components which overlap in time but which are disjoint in frequency. The measure may be used in the estimation of time delays or time constants. The algorithms described in this paper require no inverse DFT's and, therefore, run twice as fast as algorithms which utilize FFT convolution. View full abstract»

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