Download or read book Hilbert Spectra of Nonlinear Ocean Waves written by and published by . This book was released on 2006 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Hilbert-Huang transform (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. The high energy level in the low-frequency components of the Hilbert Spectrum seems to be consistent with the rich group structure apparent in typical ocean-wave records. For wind-generated waves the spectral level of the Fourier spectrum is about two orders of magnitude smaller than that of the Hilbert spectrum at the first subharmonic of the peak frequency. The mean frequency of the Fourier spectrum is 20% higher than that of the Hilbert spectrum. Furthermore, the frequency of the wave groups is also more likely to be properly identified in the engineering and air-sea interaction arc discussed.
Download or read book Hilbert huang Transform And Its Applications 2nd Edition written by Norden E Huang and published by World Scientific. This book was released on 2014-04-22 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A Note on Analyzing Nonlinear and Nonstationary Ocean Wave Data written by and published by . This book was released on 2003 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.).
Download or read book Hilbert Huang Transform and Its Applications written by Norden Eh Huang and published by World Scientific. This book was released on 2014 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for scientists and engineers who use HHT (HilbertOCoHuang 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. Readership: Applied mathematicians, climate scientists, highway engineers, medical scientists, geologists, civil engineers, mechanical engineers, electrical engineers, economics and graduate students in science or engineering.
Download or read book Hilbert huang Transform And Its Applications written by Norden E Huang and published by World Scientific. This book was released on 2005-09-20 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Hilbert Huang Transform in Engineering written by Norden E. Huang and published by CRC Press. This book was released on 2005-06-23 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Nonlinear Ocean Waves and the Inverse Scattering Transform written by Alfred Osborne and published by Academic Press. This book was released on 2010-04-07 with total page 977 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Ocean Wave Data Analysis Using Hilbert Transform Techniques written by Moisés M. Navarro and published by . This book was released on 1996 with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Tsunami Data Assimilation for Early Warning written by Yuchen Wang and published by Springer Nature. This book was released on 2022-10-26 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on proposing a tsunami early warning system using data assimilation of offshore data. First, Green’s Function-based Tsunami Data Assimilation (GFTDA) is proposed to reduce the computation time for assimilation. It can forecast the waveform at Points of Interest (PoIs) by superposing Green’s functions between observational stations and PoIs. GFTDA achieves an equivalently high accuracy of tsunami forecasting to the previous approaches, while saving sufficient time to achieve an early warning. Second, a modified tsunami data assimilation method is explored for regions with a sparse observation network. The method uses interpolated waveforms at virtual stations to construct the complete wavefront for tsunami propagation. Its application to the 2009 Dusky Sound, New Zealand earthquake, and the 2015 Illapel earthquake revealed that adopting virtual stations greatly improved the tsunami forecasting accuracy for regions without a dense observation network. Finally, a real-time tsunami detection algorithm using Ensemble Empirical Mode Decomposition (EEMD) is presented. The tsunami signals of the offshore bottom pressure gauge can be automatically separated from the tidal components, seismic waves, and background noise. The algorithm could detect tsunami arrival with a short detection delay and accurately characterize the tsunami amplitude. Furthermore, the tsunami data assimilation approach is combined with the real-time tsunami detection algorithm, which is applied to the tsunami of the 2016 Fukushima earthquake. The proposed tsunami data assimilation approach can be put into practice with the help of the real-time tsunami detection algorithm.
Download or read book Environmental Hydraulics and Sustainable Water Management Two Volume Set written by J.H.W. Lee and published by CRC Press. This book was released on 2004-12-15 with total page 2342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume set, with cd-rom, comprises the Proceedings of the 4th International Symposium on Environmental Hydraulics & the 14th Congress of Asia and Pacific Division, International Association of Hydraulic Engineering and Research held in December 2004 in Hong Kong. Volume 1 covers the selected papers presented at the 4th Internation
Download or read book Coastal Engineering Journal written by and published by . This book was released on 2002 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers coastal, harbor and offshore engineering.
Download or read book Sprayed Concrete Lined Tunnels written by Alun Thomas and published by CRC Press. This book was released on 2008-10-08 with total page 2354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practising engineers on site, in the design office or in client organizations will find this book an excellent introduction to the design and construction of sprayed concrete lined (SCL) tunnels. The complex behaviour of the early age behaviour of the sprayed concrete requires careful management. This book covers all aspects of SCL tunnelling – from the constituents of sprayed concrete to detailed design and management during construction. Although there is a close interdependence between all the facets of sprayed concrete, few engineers have the right breadth of experience and expertise, and this urgently needs to be transferred to the wider engineering community. Disseminating essential information for tunnelling engineers, Sprayed Concrete Lined Tunnels is key reading for all involved in or studying the process.
Download or read book Hilbert Huang Transform and Its Applications written by Norden Eh Huang and published by World Scientific Publishing Company. This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the HilbertHuang Transform and Its Related Mathematical Problems; Ensemble Empirical Mode Decomposition and Its Multi-Dimensional Extensions; Multivariate Extensions of Empirical Mode Decomposition; B-Spline Based Empirical Mode Decomposition; EMD Equivalent Filter Banks, From Interpretation to Applications; HHT Sifting and Filtering; Statistical Significance Test of Intrinsic Mode Functions; The Time-Dependent Intrinsic Correlation; The Application of HilbertHuang Transforms to Meteorological Datasets; Empirical Mode Decomposition and Climate Variability; EMD Correction of Orbital Drift Artifacts in Satellite Data Stream; HHT Analysis of the Nonlinear and Non-Stationary Annual Cycle of Daily Surface Air Temperature Data; Hilbert Spectra of Nonlinear Ocean Waves; EMD and Instantaneous Phase Detection of Structural Damage; HTT-Based Bridge Structural Health-Monitoring Method; Applications of HHT in Image Analysis;
Download or read book Oil and Gas Exploration written by Said Gaci and published by John Wiley & Sons. This book was released on 2017-03-13 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Oil and Gas Exploration: Methods and Application presents a summary of new results related to oil and gas prospecting that are useful for theoreticians and practical professionals. The study of oil and gas complexes and intrusions occurring in sedimentary basins is crucial for identifying the location of oil and gas fields and for making accurate predictions on oil findings. Volume highlights include: Advanced geophysical techniques for achieving hydrocarbon exploration efficiency from beneath the Earth Discussion of theoretical and practical approaches in solving problems related to exploring and mining new oil and gas deposits New geological concepts for predicting potential hydrocarbon targets Novel methods of control of the outworking of these deposits using different geophysical methods, significant for optimization of mining hydrocarbon and carbonate deposits Estimation of the degree of outworking of oil and gas deposits, to facilitate the use of space-time monitoring of different kinds of fields Analysis of exploration data by an efficient processing system, based on strong methods proven mathematically Oil and Gas Exploration is a valuable resource for exploration geophysicists, petroleum engineers, geoengineers, petrologists, mining engineers, and economic geologists, who will gain insights into exploring new methods involved in finding natural resources from our Earth. Read an interview with the editors to find out more: https://eos.org/editors-vox/where-and-how-can-we-find-new-sources-of-oil-and-gas
Download or read book Internal Gravity Waves in the Shallow Seas written by Stanisław R. Massel and published by Springer. This book was released on 2015-07-07 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a comprehensive study of the internal ocean waves, which play a very important role in ocean physics providing mechanisms for ocean water mixing and circulation, as well as the transportation of gases, nutrients, and a very large number of marine organisms in the ocean body. In contrast to surface waves, the literature on internal waves is not so numerous, mainly due to the difficulties in experimental data collection and in the mathematical description of internal wave propagation. In this book, the basic mathematical principles, a physical description of the observed phenomena, and practical theoretical methods of determination of wave parameters as well as the original method of observation using moving sensors are presented. Special attention is paid to internal wave propagation over changing bottom topographies in shallow seas such as the Baltic Sea. The book is supplemented with an extended list of relevant and extended bibliographies, a subject index, and an author index.
Download or read book Hilbert Huang Transform Analysis of Hydrological and Environmental Time Series written by A.R. Rao and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Hilbert-Huang Transform (HHT) is a recently developed technique used to analyze nonstationary data. This book uses methods based on the Hilbert-Huang Transform to analyze hydrological and environmental time series. These results are compared to the results from the traditional methods such as those based on Fourier transform and other classical statistical tests.
Download or read book Coastal Engineering 2004 Proceedings Of The 29th International Conference In 4 Vols written by Jane Mckee Smith and published by World Scientific. This book was released on 2005-04-08 with total page 4836 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive and up-to-date volume contains 367 papers presented at the 29th International Conference on Coastal Engineering, held in Lisbon, Portugal, 19-24 September 2004. It is divided into five parts: waves; long waves, nearshore currents, and swash; sediment transport and morphology; coastal management, beach nourishment, and dredging; coastal structures. The contributions cover a broad range of topics including theory, numerical and physical modeling, field measurements, case studies, design, and management. Coastal Engineering 2004 provides engineers, scientists, and planners state-of-the-art information on coastal engineering and coastal processes.The proceedings have been selected for coverage in:
