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  • Springer  (91)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Multidimensional systems and signal processing 6 (1995), S. 137-158 
    ISSN: 1573-0824
    Keywords: variable digital filter ; constant digital filter ; 1-D polynomials ; outer product expansion ; quadrantal symmetries
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract The digital filters with adjustable frequency-domain characteristics are called variable filters. Variable filters are useful in the applications where the filter characteristics are needed to be changeable during the course of signal processing. In such cases, if the existing traditional constant filter design techniques are applied to the design of new filters to satisfy the new desired characteristics when necessary, it will take a huge amount of design time. So it is desirable to have an efficient method which can fast obtain the new desired frequency-domain characteristics. Generally speaking, the frequency-domain characteristics of variable filters are determined by a set of spectral parameters such as cutoff frequency, transition bandwidth and passband width. Therefore, the characteristics of variable filters are the multi-dimensional (M-D) functions of such spectral parameters. This paper proposes an efficient technique which simplifies the difficult problem of designing a 2-D variable filter with quadrantally symmetric magnitude characteristics as the simple one that only needs the normal one-dimensional (1-D) constant digital filter designs and 1-D polynomial approximations. In applying such 2-D variable filters, only varying the part of 1-D polynomials can easily obtain new desired frequency-domain characteristics.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Multidimensional systems and signal processing 5 (1994), S. 97-119 
    ISSN: 1573-0824
    Keywords: nonnegative decomposition ; linear programming (LP) ; nonlinear programmning (NLP) ; 1-D magnitude specification ; 2-D magnitude specification ; 1-D digital filters ; 2-D digital filters
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract In designing two-dimensional (2-D) digital filters in the frequency domain, an efficient technique is to first decompose the given 2-D frequency domain design specifications into one-dimensional (1-D) ones, and then approximate the resulting 1-D magnitude specifications using the well-developed 1-D filter design techniques. Finally, by interconnecting the designed 1-D filters one can obtain a 2-D digital filter. However, since the magnitude responses of digital filters must be nonnegative, it is required that the decomposition of 2-D magnitude specifications result in nonnegative 1-D magnitude specifications. We call such a decomposition the nonnegative decomposition. This paper proposes a nonnegative decomposition method for decomposing the given 2-D magnitude specifications into 1-D ones, and then transforms the problem of designing a 2-D digital filter into that of designing 1-D filters. Consequently, the original problem of designing a 2-D filter is significantly simplified.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Czechoslovak journal of physics 47 (1997), S. 603-606 
    ISSN: 1572-9486
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The celebrated Korteweg-de Vries (KdV) topics are of crucial significance in many fields of natural sciences. In this paper, a symbolic-computation-based method is applied to a perturbed form of the modified KdV equation, and one type of the analytic solutions is obtained.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Multidimensional systems and signal processing 3 (1992), S. 89-96 
    ISSN: 1573-0824
    Keywords: Separable-denominator 2-D digital filter (SD-2DDF) ; reduced-dimensional decomposition ; 1-D digital filter (1DDF) ; 1-D Lyapunov stability condition
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract A separable-denominator 2-D digital filter (SD-2DDF) can be decomposed into the cascade form of a pair of 1-D digital filters (1DDFs) with different delay elements. Based on this reduced-dimensional decomposition, in this paper, we propose a new technique for designing SD-2DDFs in the spatial domain. The technique determines the coefficient matrices of 1DDFs by nonlinear optimization techniques first, and then a SD-2DDF can be easily synthesized. In addition, since the existent 1-D linear system realization techniques can be used to choose a good starting point for the optimization, extremely accurate design results can be easily achieved.
    Type of Medium: Electronic Resource
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  • 5
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract. The wave propagation on an ocean or water surface in the presence of sea ice or surface tension is of current importance. In this paper, we investigate the (2 + 1) dimensional 6th-order model proposed recently by Hărăgus-Courcelle and Il’ichev for such wave propagation. Firstly, we correct some errors in the original derivations of this model. With computerized symbolic computation and truncated Painlevé expansion, we then obtain an auto-Bäcklund transformation and types of the solitonic and other exact analytic solutions to the model, with the solitary waves as a special case, able to be dealt with the powerful Wu method. Based on the results, we later propose some possibly observable effects for the future experiments, and in the end, provide a possible way to explain the regular structure of the open-sea ice break-up observations.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 22 (2001), S. 351-360 
    ISSN: 1434-6036
    Keywords: PACS. 05.45.Yv Solitons – 47.20.Ky Nonlinearity (including bifurcation theory) – 92.10.Fj Dynamics of the upper ocean – 52.35.Mw Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.)
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: Although their coefficient functions often make the studies very hard, the variable-coefficient nonlinear evolution equations (vcNLEEs) are of current interests since they are able to model the real world in many fields of physical and engineering sciences. In this paper, based on the computerized symbolic computation, a variable-coefficient balancing-act method is proposed. Being concise and straightforward, it can be applicable to certain vcNLEEs, to get the solitonic features out, along with other exact analytic solutions, all beyond the travelling waves. By virtue of the method, such new solutions are demonstrated for a variable-coefficient KdV equation arising from fluid dynamics, plasmas and other fields. Special attention is paid to the one- and two-soliton-type solutions. Sample applications and physical interests are discussed, such as coastal waters of the world oceans, plasma physics, liquid drops and bubbles. Nonlinear interaction hallmarked by the phase shifts is pictured. Comparisons are made with other results in the literature.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    International journal of theoretical physics 37 (1998), S. 2299-2301 
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The variable-coefficient generalizations of thecelebrated KP equation (GvcKPs) are realistic models forvarious physical and engineering situations. In thisnote, the application of symbolic computation and the truncated Painleve expansion leads toan auto-Backlund transformation and soliton-typedsolutions to a type of the GvcKPs.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 29 (2004), S. 279-281 
    ISSN: 1434-6079
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract. Eur. Phys. J. D 26, 211 (2003) We hereby present several comments on reference [1]: for this model, we present the travelling shock-wave solutions different from that of reference [1], an auto-Bäcklund transformation, and several two-dimensional and non-travelling-wave possibly-observable effects for the future space and laboratory plasma experiments.
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  • 9
    Publication Date: 2001-06-01
    Print ISSN: 1001-6538
    Electronic ISSN: 1861-9541
    Topics: Natural Sciences in General
    Published by Springer
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  • 10
    Publication Date: 1997-08-01
    Print ISSN: 1001-6538
    Electronic ISSN: 1861-9541
    Topics: Natural Sciences in General
    Published by Springer
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