Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94

30 May-2 June 1994

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  • Algorithms for the automatic design of the decomposed state model of an one-dimensional piecewise-linear system

    Publication Year: 1994, Page(s):45 - 48 vol.6
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (338 KB)

    Present paper deals with the problem of automatic design of the implicit state model (in its decomposed parametric form) of any one-dimensional piecewise-linear (PWL) system. This model consists of the internal and the external parts which provides the possibility of finding the model parameters, i.e. to solve separately the two main problems of an one-dimensional PWL model design: (i) existence o... View full abstract»

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  • Invariant sets for general second-order low-pass delta-sigma modulators with DC inputs

    Publication Year: 1994, Page(s):1 - 4 vol.6
    Cited by:  Papers (11)
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (443 KB)

    An invariant set, S, is a set of points in state space which has the property that all trajectories emanating from points in S remain in S. Such sets are useful in the context of delta-sigma modulation as they yield rigorous theoretical bounds on the state variables. This paper describes analytic and algorithmic methods for finding invariant sets of second-order delta-sigma modulators with DC inpu... View full abstract»

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  • Sinusoidal excitation on the Chua's circuit simulation of limit cycles and chaos

    Publication Year: 1994, Page(s):5 - 8 vol.6
    Cited by:  Papers (3)
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (351 KB)

    Experiments with modelling and simulation of sinusoidal excitation on Chua's circuit are presented. It is demonstrated that the behaviour of the circuit is based on the interaction of two different kinds of energy balance: chaotic behaviour based on a balance between two unstable "states of charging", and stable limit cycle behaviour based on the balance between the energy lost in the regions with... View full abstract»

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  • Simulation of one-dimensional Euler-flow by means of multidimensional wave digital filters

    Publication Year: 1994, Page(s):9 - 12 vol.6
    Cited by:  Papers (2)
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (326 KB)

    Multidimensional Wave Digital Filters (MDWDF) are used for the integration of partial differential equations (PDE). A new approach based on the integration of systems of conservation laws is presented. For each conservation law a separate lossless Kirchhoff network is used as reference circuit for the derivation of the MDWDF. In each network the energy stored in the network represents the property... View full abstract»

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  • Dynamic characteristics of a digital transducer

    Publication Year: 1994, Page(s):13 - 16 vol.6
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (326 KB)

    Sigma delta (/spl Sigma/-/spl Delta/) modulation is a technique that is widely used in a variety of signal processing and conditioning applications. This discrete data, closed loop, nonlinear device employs oversampling techniques to achieve a suitable signal to noise ratio. The modulator may be considered to be a control system in which the discrete output signal tracks an analogue input signal t... View full abstract»

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  • Chaotic signals generated by digital filter overflow

    Publication Year: 1994, Page(s):17 - 20 vol.6
    Cited by:  Papers (6)
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (363 KB)

    The paper surveys the chaotic behaviour of digital filter overflow oscillations. The behaviour patterns of 1st, 2nd and 3rd order filters are described and the available stochastic characteristics of oscillations with chaotic features are illustrated by means of probability density functions and power density spectra for a range of filter parameters and initial states. The analysis and simulation ... View full abstract»

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  • Dynamics of a simple hysteresis network

    Publication Year: 1994, Page(s):21 - 24 vol.6
    Cited by:  Papers (4)
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (306 KB)

    In order to approach the explication of rich dynamics from a large scale nonlinear network, this paper analyses a continuous time hysteresis network whose cross connection is uniform. This system has only two parameters. Applying an efficient piecewise linear technique for a binary hysteresis element, we can clarify the existence condition of periodic orbits and the number of them. Also we can pro... View full abstract»

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  • Decomposed parametric form of the state model of a piecewise-linear system

    Publication Year: 1994, Page(s):25 - 28 vol.6
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (374 KB)

    The basic form of the state model of a piecewise-linear (PWL) system is modified to the so called decomposed parametric form. Such a modification has all advantages of the basic form. However, it is more suitable namely for finding the model parameters. This property provides a new possibility to verify all the attainable types of PWL functions that can be modelled by the state model and to transf... View full abstract»

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  • Predicting complex chaotic time series via complex valued MLPs

    Publication Year: 1994, Page(s):29 - 32 vol.6
    Cited by:  Papers (2)
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (341 KB)

    In the paper it is proposed the use of a complex valued multi-layer perceptron neural network (MLP) with complex activation functions and complex connection strengths in order to perform the estimation of chaotic time series. In particular, the Ikeda map is taken into consideration. A comparison between the behavior of the real MLP and the complex one is also reported, showing that the complex val... View full abstract»

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  • A discrete-time equivalent system approach to the periodic response of nonlinear autonomous circuits

    Publication Year: 1994, Page(s):33 - 36 vol.6
    Cited by:  Papers (1)
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (322 KB)

    The problem of computing the steady state response of nonlinear autonomous circuits is solved making use of a discrete-time equivalent system approach. With the application of an s-plane to z-plane mapping, the circuit equations are discretized and written in vector form. Using this technique, it is not necessary to repeatedly compute transforms between the time and the frequency domain. An effici... View full abstract»

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  • A novel method in compensating random perturbations in eigen-based subspace method

    Publication Year: 1994, Page(s):37 - 40 vol.6
    Cited by:  Papers (2)
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (375 KB)

    The problem of random perturbations as induced by the nonstationary nature of the emitting sources and the sensing environment in direction-of-arrival (DOA) determination by sensor array is considered. Focus has been made on the effect of these random perturbations on the covariance matrix as generated by the sensor data. Based on certain assumptions, we show that the perturbed covariance matrix c... View full abstract»

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  • Generalized diakoptic analysis for large-scale piecewise-linear nonlinear electrical circuits

    Publication Year: 1994, Page(s):41 - 44 vol.6
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (351 KB)

    Starting from the concepts introduced by L.O. Chua, and L.K. Chen (1976), the paper presents a generalized method of diakoptic analysis for large-scale piecewise-linear nonlinear electric circuits containing any type of independent or coupled lumped circuit elements. The generalization lies in the way the subcircuits are analyzed and in determining the currents and the voltages of the interconnect... View full abstract»

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  • A time-delay differential-algebraic phasor formulation of the large power system dynamics

    Publication Year: 1994, Page(s):49 - 52 vol.6
    Cited by:  Papers (11)
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (431 KB)

    This paper presents a time-delay formulation of the large power system dynamics which includes modeling the fast distributed parameter transmission system dynamics from within the familiar phasor domain of the equipment dynamics. The notion of fast time-varying phasors proposed recently for the balanced power system leads to explicit solutions in the form of time-delayed algebraic equations for th... View full abstract»

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  • A comparison of algorithms for least absolute value state estimation electric power networks

    Publication Year: 1994, Page(s):53 - 56 vol.6
    Cited by:  Papers (3)
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (345 KB)

    We compare in detail the performance of three methods for solving a nonlinear programming formulation of the weighted least absolute value estimation problem; least squares is used as a benchmark. Two primal and one dual interior point technique are considered. The former are a primal-dual method and Mehrotra's predictor-corrector method, both as implemented by Lustig, Marsten, and Shanno (1990). ... View full abstract»

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  • A method for evaluating a mapping parameter for power system dynamic stability analysis

    Publication Year: 1994, Page(s):57 - 60 vol.6
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (372 KB)

    This paper presents a method for estimating a mapping parameter of the S-matrix method that is useful for calculating the most dominant eigenvalue. In recent years, the S-matrix method was developed to make the eigenvalue calculation faster. The method makes use of mapping the eigenvalue from a-plane to z-plane. Thus, the method allows us to focus on the most dominant eigenvalue. However, the conv... View full abstract»

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  • Closed-loop input impedance of PWM buck-derived DC-DC converters

    Publication Year: 1994, Page(s):61 - 64 vol.6
    Cited by:  Papers (7)
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (320 KB)

    The small-signal closed-loop input impedance is derived for the PWM buck DC-DC converter operated in continuous conduction mode (CCM), taking into account all parasitic resistances. The plots of the closed-loop input impedance are shown versus frequency for four values of the equivalent series resistance of the capacitor.<> View full abstract»

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  • An algorithm for solving the equations of monotone nonlinear resistive networks

    Publication Year: 1994, Page(s):65 - 68 vol.6
    Cited by:  Papers (8)
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (354 KB)

    An algorithm related to the PQ theorem is given for solving the equations of a large class of monotone nonlinear resistive networks. The algorithm converges to a solution whenever a solution exists, and it produces an unbounded sequence of iterates if there is no solution.<<ETX>> View full abstract»

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  • A neural network for blind signal separation

    Publication Year: 1994, Page(s):69 - 72 vol.6
    Cited by:  Papers (4)
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (331 KB)

    An unsupervised neural network is constructed for the problem of blind signal separation. It is designed based on the condition that the outputs of the neural network are independent. A study of the stability of the neural network in the sense of expectation is presented. A stability condition on the system matrix A is obtained. Simulation studies show that this neural network is robust. It can se... View full abstract»

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  • Quantisation noise of 1-bit double-loop sigma-delta modulator

    Publication Year: 1994, Page(s):73 - 76 vol.6
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (284 KB)

    The quantization noise of a single-bit double-loop sigma-delta modulator (SDM) is considered in this paper. A closed-form solution of the quantization noise of SDM is obtained for DC and sinusoidal inputs in a non-overloading condition. An open-loop model is developed and the quantization noise spectrum (QNS) of SDM for a sinusoidal input is determined. It is also shown that the QNS in this SDM de... View full abstract»

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  • Studies on the stability of two dimensional analog nonlinear circuits

    Publication Year: 1994, Page(s):77 - 80 vol.6
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (265 KB)

    The paper proposes: (1) linearization procedure for nonlinear state equations obtained from two-dimensional (2-D) analog nonlinear circuits and; (2) characterization of the equilibrium point stability based on various two-variable (2-V) Hurwitz properties. It is concluded that at the equilibrium point (EP), 2-D nonlinear circuit is asymptotically stable if the characteristic equation obtained from... View full abstract»

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  • A simple and robust method for controlling chaotic systems

    Publication Year: 1994, Page(s):85 - 88 vol.6
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (334 KB)

    We consider a class of autonomous, continuous time, chaotic dynamical systems, the state equations of which can be represented in so-called Lur'e form. It is shown that the dynamic behaviour of such a system can be influenced in such a way that its state will reproduce any chosen periodic orbit being a solution. This kind of control can be achieved via injection of a single continuous time signal ... View full abstract»

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  • Rigorous and realistic control of piecewise linear chaos

    Publication Year: 1994, Page(s):81 - 84 vol.6
    Cited by:  Papers (2)
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (349 KB)

    A simple but efficient control method of piecewise linear chaos is proposed. It operates only in a linear region and must stabilize any unstable periodic orbit in a theoretical sense. We apply the method for a hysteresis chaos generator for which some theoretical evidence for chaos can be given. An implementation example of the control method is also given.<> View full abstract»

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  • Controlling chaotic motions in Chua's circuit via tunnels

    Publication Year: 1994, Page(s):89 - 92 vol.6
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (276 KB)

    A new method is given, which converts a chaotic motion in Chua's circuit to a periodic motion. A tunnel mechanism is used to perform this conversion.<<ETX>> View full abstract»

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  • Modelling sound with chaos

    Publication Year: 1994, Page(s):93 - 96 vol.6
    Cited by:  Papers (1)
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (383 KB)

    This paper is about exploiting chaos theory to provide a means for modelling sound on a computer. A new technique is described for the analysis and resynthesis of a sound using a chaotic system. Preliminary results are promising: a synthetic version of 'air noise' is generated which sounds very much like the original.<<ETX>> View full abstract»

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  • IC implementation of switched capacitor chaotic neuron

    Publication Year: 1994, Page(s):97 - 100 vol.6
    Cited by:  Papers (14)
    Request permission for reuse | Click to expandAbstract | PDF file iconPDF (336 KB)

    IC implementation of chaotic neuron using switched capacitor circuit technique is described. Various measured results are presented and interpreted. A new phenomenon called "transient chaos", which is essential for chaotic simulated annealing, is also demonstrated.<<ETX>> View full abstract»

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