Ocean Wave Data Analysis Using Hilbert Transform Techniques
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Ocean Wave Data Analysis Using Hilbert Transform Techniques
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Author :
language : en
Publisher:
Release Date : 1996
Ocean Wave Data Analysis Using Hilbert Transform Techniques written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
A novel technique to determine the phase velocity of long-wavelength shoaling waves is investigated. Operationally, the technique consists of three steps. First, using the Hilbert transform of a time series, the phase of the analytic signal is determined. Second, the correlations of the phases of analytic signals between two points in space are calculated and an average time of travel of the wave fronts is obtained. Third, if directional spectra are available or can be determined from time series of large array of buoys, the angular information can be used to determine the true time of travel. The phase velocity is obtained by dividing the distance between buoys by the correlation time. Using the Hilbert transform approach, there is no explicit assumption of the relation between frequency and wavenumber of waves in the wave field, indicating that it may be applicable to arbitrary wave fields, both linear and nonlinear. Limitations of the approach are discussed.
Ocean Wave Data Analysis Using Hilbert Transform Techniques
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Author : Moisés M. Navarro
language : en
Publisher:
Release Date : 1996
Ocean Wave Data Analysis Using Hilbert Transform Techniques written by Moisés M. Navarro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
A novel technique to determine the phase velocity of long-wavelength shoaling waves is investigated. Operationally, the technique consists of three steps. First, using the Hilbert transform of a time series, the phase of the analytic signal is determined. Second, the correlations of the phases of analytic signals between two points in space are calculated and an average time of travel of the wave fronts is obtained. Third, if directional spectra are available or can be determined from time series of large array of buoys, the angular information can be used to determine the true time of travel. The phase velocity is obtained by dividing the distance between buoys by the correlation time. Using the Hilbert transform approach, there is no explicit assumption of the relation between frequency and wavenumber of waves in the wave field, indicating that it may be applicable to arbitrary wave fields, both linear and nonlinear. Limitations of the approach are discussed.
The Hilbert Huang Transform In Engineering
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Author : Norden E. Huang
language : en
Publisher: CRC Press
Release Date : 2005-06-23
The Hilbert Huang Transform In Engineering written by Norden E. Huang and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-23 with Mathematics categories.
Data used to develop and confirm models suffer from several shortcomings: the total data is too limited, the data are non-stationary, and the data represent nonlinear processes. The Hilbert-Huang transform (HHT) is a relatively new method that has grown into a robust tool for data analysis and is ready for a wide variety of applications. Thi
A Note On Analyzing Nonlinear And Nonstationary Ocean Wave Data
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Author :
language : en
Publisher:
Release Date : 2003
A Note On Analyzing Nonlinear And Nonstationary Ocean Wave Data written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
The Huang-Hilbert transformation (HHT, composed of empirical mode decomposition and Hilbert transformation), can be applied to calculate the spectrum of nonlinear and nonstationary signals. The superior temporal and frequency resolutions of the HHT spectrum are illustrated by several examples in this article. The HHT analysis interprets wave nonlinearity in terms of frequency modulation instead of harmonic generation. The resulting spectrum contains much higher spectral energy at low frequency and sharper drop off at high frequency in comparison with the spectra derived from Fourier-based analysis methods (e.g., Fast Fourier Transforms and wavelet techniques). For wind-generated waves, the spectral level of the Fourier spectrum is about two orders of magnitude smaller than that of the HHT spectrum at the first subharmonic of the peak frequency. The resulting average frequency as defined by the normalized first momentum of the spectrum is about 1.2 times higher in the Fourier-based spectra than that of the HHT spectrum. (6 figures, 7 refs.).
Ocean Wave Data Analysis
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Author : Arash Karimpour
language : en
Publisher:
Release Date : 2018-05-02
Ocean Wave Data Analysis written by Arash Karimpour and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-02 with categories.
Hilbert Huang Transform And Its Applications 2nd Edition
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Author : Norden E Huang
language : en
Publisher: World Scientific
Release Date : 2014-04-22
Hilbert Huang Transform And Its Applications 2nd Edition written by Norden E Huang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-22 with Mathematics categories.
This book is written for scientists and engineers who use HHT (Hilbert-Huang Transform) to analyze data from nonlinear and non-stationary processes. It can be treated as a HHT user manual and a source of reference for HHT applications. The book contains the basic principle and method of HHT and various application examples, ranging from the correction of satellite orbit drifting to detection of failure of highway bridges.The thirteen chapters of the first edition are based on the presentations made at a mini-symposium at the Society for Industrial and Applied Mathematics in 2003. Some outstanding mathematical research problems regarding HHT development are discussed in the first three chapters. The three new chapters of the second edition reflect the latest HHT development, including ensemble empirical mode decomposition (EEMD) and modified EMD.The book also provides a platform for researchers to develop the HHT method further and to identify more applications.
Hilbert Huang Transform And Its Applications
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Author : Norden E Huang
language : en
Publisher: World Scientific
Release Date : 2005-09-20
Hilbert Huang Transform And Its Applications written by Norden E Huang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-20 with Mathematics categories.
The Hilbert-Huang Transform (HHT) represents a desperate attempt to break the suffocating hold on the field of data analysis by the twin assumptions of linearity and stationarity. Unlike spectrograms, wavelet analysis, or the Wigner-Ville Distribution, HHT is truly a time-frequency analysis, but it does not require an a priori functional basis and, therefore, the convolution computation of frequency. The method provides a magnifying glass to examine the data, and also offers a different view of data from nonlinear processes, with the results no longer shackled by spurious harmonics — the artifacts of imposing a linearity property on a nonlinear system or of limiting by the uncertainty principle, and a consequence of Fourier transform pairs in data analysis. This is the first HHT book containing papers covering a wide variety of interests. The chapters are divided into mathematical aspects and applications, with the applications further grouped into geophysics, structural safety and visualization.
Nonlinear Ocean Waves And The Inverse Scattering Transform
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Author : Alfred Osborne
language : en
Publisher: Academic Press
Release Date : 2010-04-07
Nonlinear Ocean Waves And The Inverse Scattering Transform written by Alfred Osborne and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-07 with Science categories.
For more than 200 years, the Fourier Transform has been one of the most important mathematical tools for understanding the dynamics of linear wave trains. Nonlinear Ocean Waves and the Inverse Scattering Transform presents the development of the nonlinear Fourier analysis of measured space and time series, which can be found in a wide variety of physical settings including surface water waves, internal waves, and equatorial Rossby waves. This revolutionary development will allow hyperfast numerical modelling of nonlinear waves, greatly advancing our understanding of oceanic surface and internal waves. Nonlinear Fourier analysis is based upon a generalization of linear Fourier analysis referred to as the inverse scattering transform, the fundamental building block of which is a generalized Fourier series called the Riemann theta function. Elucidating the art and science of implementing these functions in the context of physical and time series analysis is the goal of this book. Presents techniques and methods of the inverse scattering transform for data analysis Geared toward both the introductory and advanced reader venturing further into mathematical and numerical analysis Suitable for classroom teaching as well as research
Hilbert Transform Applications In Mechanical Vibration
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Author : Michael Feldman
language : en
Publisher: John Wiley & Sons
Release Date : 2011-03-08
Hilbert Transform Applications In Mechanical Vibration written by Michael Feldman and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-08 with Science categories.
Hilbert Transform Applications in Mechanical Vibration addresses recent advances in theory and applications of the Hilbert transform to vibration engineering, enabling laboratory dynamic tests to be performed more rapidly and accurately. The author integrates important pioneering developments in signal processing and mathematical models with typical properties of mechanical dynamic constructions such as resonance, nonlinear stiffness and damping. A comprehensive account of the main applications is provided, covering dynamic testing and the extraction of the modal parameters of nonlinear vibration systems, including the initial elastic and damping force characteristics. This unique merger of technical properties and digital signal processing allows the instant solution of a variety of engineering problems and the in-depth exploration of the physics of vibration by analysis, identification and simulation. This book will appeal to both professionals and students working in mechanical, aerospace, and civil engineering, as well as naval architecture, biomechanics, robotics, and mechatronics. Hilbert Transform Applications in Mechanical Vibration employs modern applications of the Hilbert transform time domain methods including: The Hilbert Vibration Decomposition method for adaptive separation of a multi-component non-stationary vibration signal into simple quasi-harmonic components; this method is characterized by high frequency resolution, which provides a comprehensive account of the case of amplitude and frequency modulated vibration analysis. The FREEVIB and FORCEVIB main applications, covering dynamic testing and extraction of the modal parameters of nonlinear vibration systems including the initial elastic and damping force characteristics under free and forced vibration regimes. Identification methods contribute to efficient and accurate testing of vibration systems, avoiding effort-consuming measurement and analysis. Precise identification of nonlinear and asymmetric systems considering high frequency harmonics on the base of the congruent envelope and congruent frequency. Accompanied by a website at www.wiley.com/go/feldman, housing MATLAB®/ SIMULINK codes.
Ocean Wave Measurement And Analysis
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Author : Billy L. Edge
language : en
Publisher:
Release Date : 1998
Ocean Wave Measurement And Analysis written by Billy L. Edge and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Lakes categories.