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  • 1
    Electronic Resource
    Electronic Resource
    Use of the Hilbert transform to interpret self-potential anomalies due to two-dimensional inclined sheets (1990)
    Springer
    Pure and applied geophysics 133 (1990), S. 117-126 
    Details
    ISSN: 1420-9136
    Keywords: Hilbert transform ; S.P. anomalies ; convolution ; abscissae ; amplitude ; error analysis ; Cuddapah basin
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract Self-potential anomalies due to two-dimensional inclined sheet of finite depth extent are analysed from their horizontal and vertical derivatives via the Hilbert transform. The depths to the top and bottom of the sheet and the inclination are obtained by means of simple mathematical expressions. The method is applied to a theoretical example and to a field S.P. anomaly over a sulphide deposit in the Kalava fault zone of Cuddapah basin, India. The presence of random noise is analysed for various levels and its effect is discussed. This interpretation process can be automated for all practical purposes by simple programming.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00876706
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Hilbert transform in the interpretation of magnetic anomalies of various components due to a thin infinite dike (1985)
    Springer
    Pure and applied geophysics 123 (1985), S. 557-566 
    Details
    ISSN: 1420-9136
    Keywords: Magnetic anomalies ; Discrete Hilbert transform ; Analytical signal ; Amplitude ; Abscissa
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract The Hilbert transformH(x) applicable to vertical (ΔZ), horizontal (ΔH), and total (ΔT) magnetic anomalies due to a thin dike of infinite depth extent is derived from the generalised expression of magnetic effectF(x). The depth and dip of the dike is extracted by a simple procedure making use ofF(x) andH(x). A modified version of the amplitude of the analytic signal is given to locate the origin. The abscissa of the point of intersection ofF(x) and the discrete Hilbert transformH(1.Δx) directly yields the depth to the top. An example for each case is considered theoretically to illustrate the process. Applicability of the method is examined on the vertical component of the well-known magnetic anomaly at Kiirunavaara in northern Sweden, originally described by Von Carlheim Gyllenskjold, as well as on total magnetic anomaly of Bensons Mines, U.S.A.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00877453
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Analysis of the Deformation of Homogeneous Electrical Fields Over Some Two-Dimensional Structures (1996)
    Oxford, UK : Blackwell Publishing Ltd
    Ground water 34 (1996), S. 0 
    Details
    ISSN: 1745-6584
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Energy, Environment Protection, Nuclear Power Engineering , Geosciences
    Notes: An analysis of the deformation of a homogeneous electrical field caused by a long, thin inclined bed, which is of considerable importance in the exploration of ground water and minerals, is presented using the Hilbert transform. The thickness of the bed and the inclination are expressed as a function of the abscissae of the points of intersection of the horizontal and vertical derivatives of the field. The procedure is illustrated with a theoretical example and substantiated with field examples from the fractured Crystalline Basement Complex in Burkina Faso, Africa, and Pre-Cambrian limestones of the Cuddappah Basin in Andhra Pradesh, India. The results derived from the analytical method are shown to agree well with the ground truth.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1745-6584.1996.tb02044.x
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    A Direct Link Minimal Resource Allocation Network for Adaptive Noise Cancellation (2000)
    Springer
    Neural processing letters 12 (2000), S. 255-265 
    Details
    ISSN: 1573-773X
    Keywords: direct link MRAN ; extended Kalman filter ; noise cancellation ; RBF network ; sequential learning
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract This paper presents a modification to the Minimal Resource Allocation Network (MRAN) of Yingwei et al. by introducing direct links from inputs to output and investigates its performance for noise cancellation problems. MRAN has the same structure as a Radial Basis Function network but uses a sequential learning algorithm that adds and prunes hidden neurons as input data is received sequentially so as to produce a parsimonious network. Earlier work by Sun Yonghong et al. has demonstrated the capability of MRAN to produce a compact network with excellent noise reduction properties. In this paper the capability of the direct link Minimal Resource Allocation Network (DMRAN) is evaluated by comparing it with MRAN on several nonlinear adaptive noise cancellation problems. The direct link MRAN uses the same learning algorithm as MRAN but with the introduction of direct links we are able to realise even smaller networks than MRAN with better noise reduction properties.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026594607197
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Nonlinear System Identification Using Lyapunov Based Fully Tuned Dynamic RBF Networks (2000)
    Springer
    Neural processing letters 12 (2000), S. 291-303 
    Details
    ISSN: 1573-773X
    Keywords: Growing and Pruning (GAP) ; Lyapunov stability theory ; neural network ; nonlinear dynamic system ; Radial Basis Function (RBF) network ; stable identification
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract This paper presents a stable, on-line identification scheme for multivariable nonlinear dynamic system. Growing Gaussian Radial Basis Function (GRBF) network with all its parameters being adaptable is used to approximate an unknown nonlinear system. Based on a continuous-time framework, the parameter adjustment law is derived using Lyapunov synthesis approach, which guarantees the stability of the overall system. In addition, to ensure the convergence of the approximation error, a growing strategy for the network is selected and a dead zone is incorporated in the tuning law. Simulation studies on identifying a time-varying nonlinear missile dynamics illustrate the superior performance of the proposed scheme. The studies also indicate that stability and reduction in approximation error can be extended to a network with pruning strategy, thereby resulting in a Growing and Pruning (GAP) RBF network, which can implement a more compact network structure.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026571426761
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    Paper (German National Licenses)
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