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  • 1
    Electronic Resource
    Electronic Resource
    A new approach to Hurwitz polynomials in several variables (1986)
    Springer
    Circuits, systems and signal processing 5 (1986), S. 405-417 
    Details
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract The theory of scattering and related types of Hurwitz polynomials, as well as the role of these polynomials in the theory of multidimensional passive circuits, have been established in previous publications. In the present paper a new approach is developed by means of which the previous results on scattering Hurwitz polynomials can be obtained in a more compact and systematic fashion.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01599617
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Numerical integration of partial differential equations using principles of multidimensional wave digital filters (1991)
    Springer
    The journal of VLSI signal processing systems for signal, image, and video technology 3 (1991), S. 7-24 
    Details
    ISSN: 1573-109X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract Physical systems described by partial differential equations (PDEs) are usually passive (due to conservation of energy) and furthermore massively parallel and only locally interconnected (due to the principle of action at proximity, as opposed to action at a distance). An approach is developed for numerically integrating such PDEs by means of algorithms that offer massive parallelism and require only local interconnections. These algorithms are based on the principles of multidimensional wave digital filtering and amount to directly simulating the actual physical system by means of a discrete passive dynamical system. They inherit all the good properties known to hold for wave digital filters, in particular the full range of robustness properties typical for these filters. In this paper, only the linear case is considered, with particular emphasis on systems of PDEs of hyperbolic type. The main features are explained by means of an example.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00927832
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  • 3
    Electronic Resource
    Electronic Resource
    Multidimensional digital filtering by using parallel algorithms based on diagonal processing (1990)
    Springer
    Multidimensional systems and signal processing 1 (1990), S. 51-66 
    Details
    ISSN: 1573-0824
    Keywords: Multidimensional filtering ; parallel processing
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract An approach for massive parallel processing in multidimensional digital filtering, which has briefly been introduced for causal digital filters in previous publications, is generalized and examined in more detail. It is based on a suitably modified sampling procedure combined with diagonal processing and does not require any additional arithmetic operations in comparison with corresponding conventional digital filtering. The condition that has to be satisfied for making the approach suitable for full parallel processing is derived. Properties of diagonal hyperplanes as required for the present approach are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01812206
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  • 4
    Electronic Resource
    Electronic Resource
    Transformation approach to numerically integrating PDEs by means of WDF principles (1991)
    Springer
    Multidimensional systems and signal processing 2 (1991), S. 127-159 
    Details
    ISSN: 1573-0824
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract As has been shown, attractive methods for numerically integrating partial differential equations (PDEs) resulting from physical problems can be obtained by simulating the actual physical passive (conservation of energy) dynamical system by means of a discrete passive dynamical system, and this in such a way that the full parallelism and the exclusively local nature of the interconnections (principle of action at proximity) are preserved. An alternative approach for developing such methods is presented which, while still using principles of the same type as those on which multidimensional wave digital filters (WDFs) are based, involves appropriate transformations of the original coordinates of the physical problem at hand. This alternative approach is not only easier to apply than the one referred to above but also more general; it is illustrated on the one hand by the same examples as those that have been used for the other approach, and on the other by showing the applicability to Maxwell's equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01938221
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  • 5
    Electronic Resource
    Electronic Resource
    Multidimensional wave digital filters for discrete-time modelling of Maxwell's equations (1992)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 5 (1992), S. 183-201 
    Details
    ISSN: 0894-3370
    Keywords: Engineering ; Electrical and Electronics Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: An approach for numerically integrating the partial differential equations describing passive physical systems consists in modelling the continuous-domain physical system by means of a passive discrete-domain system. As has recently been shown, this can be achieved, in particular also for Maxwell's equations, by means of the same principles as known from multidimensional wave digital filters, which offers a number of important advantages. The present paper deals specifically with the application of the approach to Maxwell's equations and supplements corresponding results previously published.
    Additional Material: 12 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/jnm.1660050307
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  • 6
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    Nonlinear Kirchhoff Circuits and Relativity Theory (2004)
    Elsevier
    Details
    Publication Date: 2004-01-01
    Print ISSN: 1434-8411
    Electronic ISSN: 1618-0399
    Topics: Electrical Engineering, Measurement and Control Technology
    Published by Elsevier
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