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  • 11
    Electronic Resource
    Electronic Resource
    Convergence of certain quadrature processes (1972)
    Springer
    Aequationes mathematicae 8 (1972), S. 318-318 
    Details
    ISSN: 1420-8903
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01844517
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    Paper (German National Licenses)
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  • 12
    Electronic Resource
    Electronic Resource
    Convergence of certain quadrature processes (1973)
    Springer
    Aequationes mathematicae 9 (1973), S. 242-244 
    Details
    ISSN: 1420-8903
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01832631
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  • 13
    Electronic Resource
    Electronic Resource
    A general study of maximal robust stability regions (1991)
    Springer
    Circuits, systems and signal processing 10 (1991), S. 15-30 
    Details
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract In the study of robust stability, the largest coefficient region of a given stable polynomial that guarantees stability preservation under perturbation of coefficients is to be determined. A general consideration including both Hurwitz and Schur polynomials is treated in this paper. For this purpose, the notion ofperturbation constant is introduced. As a consequence of our results, we also introduce a general Kharitonov-type stability test which is based on testing the stability and perturbation constant of a single polynomial.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01183238
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  • 14
    Electronic Resource
    Electronic Resource
    High-Order Orthonormal Scaling Functions and Wavelets Give Poor Time-Frequency Localization (1995)
    Springer
    The journal of Fourier analysis and applications 2 (1995), S. 415-426 
    Details
    ISSN: 1531-5851
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract For a fairly general class of orthonormal scaling functions and wavelets with regularity exponents n, we prove that the areas of the time-frequency windows tend to infinity as n → ∞. This class includes those of Battle-Lemarie and Daubechies. In addition, if the scaling functions have at least asymptotic linear phase, then we prove that they converge to the "sinc" function and their corresponding orthonormal wavelets converge to the "difference" of two sinc functions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s00041-001-4035-2
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    Paper (German National Licenses)
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  • 15
    Electronic Resource
    Electronic Resource
    Affine frames, quasi-affine frames, and their duals (1998)
    Springer
    Advances in computational mathematics 8 (1998), S. 1-17 
    Details
    ISSN: 1572-9044
    Keywords: affine frame ; quasi-affine frame ; dual ; sesquilinear operator ; translation invariance ; 42C15 (primary) ; 42B15 ; 47N40 (secondary)
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The notion of quasi-affine frame was recently introduced by Ron and Shen [9] in order to achieve shift-invariance of the discrete wavelet transform. In this paper, we establish a duality-preservation theorem for quasi-affine frames. Furthermore, the preservation of frame bounds when changing an affine frame to a quasi-affine frame is shown to hold without the decay assumptions in [9]. Our consideration leads naturally to the study of certain sesquilinear operators which are defined by two affine systems. The translation-invariance of such operators is characterized in terms of certain intrinsic properties of the two affine systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018975725857
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  • 16
    Electronic Resource
    Electronic Resource
    Rate of convergence of schmidt pairs and rational functions corresponding to best approximants of truncated hankel operators (1992)
    Springer
    Mathematics of control, signals, and systems 5 (1992), S. 67-79 
    Details
    ISSN: 1435-568X
    Keywords: Hankel norm ; Rational approximation ; Order of approximation ; Wiener class
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Mathematics , Technology
    Notes: Abstract The problem of approximating Hankel operators of infinite rank by finite-rank Hankel operators is considered. For efficiency, truncated infinite Hankel matrices Γn of Γ are utilized. In this paper for any compact Hankel operator Γ of the Wiener class, we derive the rate of l2-convergence of the Schmidt pairs of Γn to the corresponding Schmidt pairs of Γ. For a certain subclass of Hankel operators of the Wiener class, we also obtain the rate of l1-convergence. In addition, an upper bound for the rate of uniform convergence of the rational symbols of best rank-k Hankel approximants of Γn to the corresponding rational symbol of the best rank-k Hankel approximant to Γ asn → ∞ is derived.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01211976
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  • 17
    Electronic Resource
    Electronic Resource
    Real-Time Simultaneous Estimation and Decomposition of Random Signals (1998)
    Springer
    Multidimensional systems and signal processing 9 (1998), S. 273-289 
    Details
    ISSN: 1573-0824
    Keywords: decomposition ; estimation ; filter bank and wavelet transform
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract In this paper, an efficient algorithm is derived for multiresolutional estimation and decomposition of noisy random signals. This algorithm performs in real-time the estimation and decomposition simultaneously, using the discrete wavelet transform implemented by a filter bank. Although the algorithm is developed based on the standard Kalman filtering scheme, the nature of blockwise filtering results in a smoothing-equivalent effect. However, the interpolated filtering produces decomposed estimate output in real-time.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008280719917
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  • 18
    Electronic Resource
    Electronic Resource
    Algorithms for G1 connection of multiple parametric bicubic NURBS surfaces (2000)
    Springer
    Numerical algorithms 23 (2000), S. 285-313 
    Details
    ISSN: 1572-9265
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract The objective of this paper is to introduce an innovative approach for constructing effective algorithms for removing gaps between parametric NURBS surfaces in three-space, while maintaining geometrical smoothness for the combined (or compound) surface. Similar to the degenerate case of tensor-product B-spline surfaces, if the underlying knot sequences along the connecting boundaries of two NURBS surfaces are proportional, then the parametric surfaces can be connected in a G1 fashion. This approach can be easily extended to connecting three or four parametric NURBS surfaces. We will demonstrate the feasibility of our approach by focusing on the C1 bicubic setting with knot sequences being equally-spaced and having double interior knots.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1019172605716
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