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International Conference on Acoustics, Speech, and signal processing (ICASSP)

作者： H.M. Valenzuela Department of Electrical and Computer Engineering Spatial and Temporal Signal Processing Center Pennsylvania State University University Park PA USA

A system identification technique for general noncausal, nonminimal-phase autoregressive moving-average (ARMA) processes is presented. The technique combines rational modeling from frequency response samples with system identification from higher-order statistics information. The formulation is based on samples of the bispectrum along a straight line on the frequency plane, referred to as a bispectrum slice. The identification is carried out in two steps; first a rational model of the bispectrum slice is obtained via solution of two uncoupled systems of equations and, subsequently, the coefficients of the underlying ARMA model are obtained by using closed-form expressions. The method is verified through simulations.< >

关键词： System identification Transfer functions Additive noise Frequency response signal processing Higher order statistics Gaussian noise Equations Frequency domain analysis Noise robustness

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Modeling of two-dimensional systems using cumulants

Modeling of two-dimensional systems using cumulants

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International Conference on Acoustics, Speech, and signal processing (ICASSP)

作者： H.M. Valenzuela A.D. Salvia Spatial and Temporal Signal Processing Center Department of Electrical Engineering Pennsylvania State University University Park PA USA

The problem of obtaining the ARMA parameters of a 2-D system using slices of the output cumulant is considered. It is shown that cumulant slices can be used to identify the AR part of the model only if the system is causal and the denominator is product separable. With these restrictions, a computationally feasible method of determining the order of the denominator polynomials and finding the denominator polynomial coefficients is obtained. Existing methods can then be used to produce the numerator polynomial coefficients. The method is then verified through simulations.< >

关键词： Polynomials Computational modeling System identification Autocorrelation Gaussian noise Computational complexity signal processing algorithms signal processing Higher order statistics Additive noise

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Nonlinear signal processing with self-organizing neural networks

Nonlinear signal processing with self-organizing neural netw...

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IEEE International Symposium on Circuits and Systems (ISCAS)

作者： K. Gao M. Omair Ahmad M.N.S. Swamy Center of Signal Processing and Communications Department of Electrical and Computer Engineering Concordia University Montreal QUE Canada

The application of self-organizing neural networks in processing nonlinear dynamic signals directly is investigated. The processing of a signal uses a model-based approach. The signal generating system is modeled by decomposing it into simpler subsystems and each subsystems is associated with a neuron on a single-layer network. Each subsystem is implemented using a temporally local linear combiner. The network is trained with a self-organizing procedure and the parameters of the linear combiners are updated by using the Widrow-Hoff adaptive rule. A competitive rule which takes into consideration the temporal dependence among the signal samples is presented. Simulation results are presented to illustrate the method.< >

关键词： signal processing Neural networks signal generators Neurons Adaptive signal processing Nonlinear systems Predictive models Organizing System identification Linear systems

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VERTEX IMPLICATIONS OF STABILITY FOR A CLASS OF DELAY-DIFFERENTIAL INTERVAL SYSTEM

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IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS 1990年第7期37卷 969-972页

作者： KIM, KD BOSE, NK Department of Electrical Engineering the Spatial and Temporal Signal Processing Center Pennsylvania State University University Park PA USA

Although vertex implication in parameter space does not hold for stability of general delay-differential interval system, it is shown that in an important special case when the characteristic equation of the system is describable by certain quasi-polynomials the vertex implication for stability does hold. It is also pointed out that vertex implication for stability does not hold in general for delay-differential systems with interval delay.

关键词： delay-differential systems corners vertex head Implication Characteristic equation parameter space methods

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NECESSARY CONDITIONS FOR NONNEGATIVITY CONSTRAINED SPECTRAL FACTORIZATION

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OPTICS COMMUNICATIONS 1990年第1期76卷 8-12页

作者： RICHARDSON, DW BOSE, NK Department of Electrical Engineering The Spatial and Temporal Signal Processing Center The Pennsylvania State University University Park PA 16802 USA

A set of necessary conditions involving the discrete autocorrelation samples is provided for checking into the existence of solution for the nonnegativity constrained spectral factorization problem.

关键词： Information Theory

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Vertex implications of stability for a class of delay-differential interval system

Vertex implications of stability for a class of delay-differ...

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IEEE International Symposium on Circuits and Systems (ISCAS)

作者： K.D. Kim N.K. Bose Department of Electrical Engineering The Spatial and Temporal Signal Processing Center Pennsylvania State University University Park PA USA

Though vertex implication in parameter space does not hold for stability of general delay-differential interval systems, it is shown that in the important special case when the characteristic equation of the system is... 详细信息

关键词： Delay systems signal processing Differential equations Hypercubes Stability criteria Testing Directive antennas Radio frequency Control systems Fasteners

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STABILITY OF A COMPLEX POLYNOMIAL SET WITH COEFFICIENTS IN A DIAMOND AND GENERALIZATIONS

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IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS 1989年第9期36卷 1168-1174页

作者： BOSE, NK KIM, KD Department of Electrical Engineering Spatial and Temporal Signal Processing Center Pennsylvania State University University Park PA USA

An approach from system theory is used to prove that the strict Hurwitz property of a family of polynomials having complex coefficients with their real and imaginary parts each varying in a diamond requires the checking of 16 one-dimensional edges of the diamond for the type of stability characterized by the strict Hurwitz property of polynomials. The approach is straightforward, and the corresponding recent result (N.K. Bose and Y.Q. Shi, ibid., ***-34, no.10, p.1233-7, 1987; J. Garloff and N.K. Bose, in Reliability in Computing: The Role of Interval Methods in Scientific Computing, p.391-402, 1988) advanced for the case of polynomials with real coefficients falls out as a special case. The procedure also applies to a far wider class of regions in parameter space than those represented by either a boxed domain or its set dual-a diamond.< >

关键词： Stability Polynomials Testing signal processing

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TESTS FOR HURWITZ AND SCHUR PROPERTIES OF CONVEX COMBINATION OF COMPLEX POLYNOMIALS

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IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS 1989年第9期36卷 1245-1247页

作者： BOSE, NK Department of Electrical Engineering The Spatial and Temporal Signal Processing Center Pennsylvania State University University Park PA USA

A test of Hurwitz (Schur) stability of a convex combination of Hurwitz (Schur) polynomials that requires only the checking for absence of zeros in the interval, 0> lambda >1, of a polynomial in lambda having complex coefficients is studied. From this polynomial Delta ( lambda ) a polynomial Delta *( lambda ) can be constructed by complex conjugating the coefficients of Delta ( lambda ) in order to form a polynomial which has real coefficients. When the coefficients are restricted to real coefficients, a simplification is provided that is particularly attractive since the Hurwitz stability of a convex combination of strict Hurwitz nth-degree polynomials requires the testing for the absence of zeros in the real interval (0, 1) of a polynomial of degree (n-1). A similar statement applies to a specialization of the results pertaining to Schur stability when the polynomial coefficients are real. This study, therefore, provides a unified approach for testing the Hurwitz or Schur stability of a convex combination of polynomials and generalizes earlier results to the complex coefficient case.

关键词： Convexity Zero Real number Polynomial Coefficients

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SCHUR STABILITY AND STABILITY DOMAIN CONSTRUCTION

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INTERNATIONAL JOURNAL OF CONTROL 1989年第4期49卷 1175-1183页

作者： DELANSKY, JF BOSE, NK Department of Electrical Engineering Spatial and Temporal Signal Processing Center The Pennsylvania State University University Park PA 16802 U.S.A

A discrete version of Foster's reactance theorem is developed and, subsequently, used to delineate necessary and sufficient conditions for a given polynomial with complex or real coefficients to be of the Schur type. These conditions, obtained from the decomposition of a polynomial into its circularly symmetric and anti-circularly symmetric components, facilitate the construction of stability domains for a family of polynomials through the use of linear inequalities. These results provide the complete discrete counterpart of recent results for a family of polynomials which are required to be tested for the Hurwitz property.

关键词： System Stability

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Multidimensional rational modeling from specified frequency response samples

Multidimensional rational modeling from specified frequency ...

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Multidimensional signal processing Workshop

作者： D.W. Richardson N.K. Bose Department of Electrical Engineering Spatial and Temporal Signal Processing Center Pennsylvania State University University Park PA USA

Summary form only given, as follows. Given certain frequency response samples or, equivalently, the values of the linear multidimensional system transfer function at specified points on the unit torus, the objective is to obtain a rational model for the system by identifying its transfer function. The authors set up the calculus for multivariate divided differences with the objective of using it to supply a rational model for a multidimensional system from specified frequency response samples. In order to obtain the denominator polynomial, it is shown that a system of linear equations characterized by the block Hankel-Hankel matrix structure has to be targeted for solution. The numerator polynomial can then be obtained by applying multivariate Lagrangian interpolation. Some results concerning simulation are presented. Currently under investigation are procedures for recursively updating the order of the model similar to what has been established in multivariate Pade approximation theory.

关键词： Multidimensional systems Frequency response Transfer functions Polynomials Multidimensional signal processing Interpolation Calculus Equations Lagrangian functions Approximation methods

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