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The Hilbert-Huang Transform ((HHT) is a recently developed technique which is used to analyze nonstationary data. Hydrologic and environmental series are, in the main, analyzed by using techniques which were developed for stationary data. This has led to problems of interpretation of the results. Environmental and hydrologic series are quite often nonstationary. The basic objective of the material discussed in this book is to analyze these data by using methods based on the Hilbert-Huang transform. These results are compared to the results from the traditional methods such as those based on Fourier transform and other classical statistical tests.
Audience This book will be of value to researchers interested in climate change and advanced graduate students in civil engineering, atmospheric sciences and statistics.
Content Level »Research
Keywords »Environmental and Hydrologic Time Series - Fourier transform - Hilbert-Huang Transform - Nonstationary Processes - Rain - Simulation - Spectral Analysis - Wind - Wind speed - calculus - civil engineering - climate change - data analysis - statistics - temperature
PREFACE 1. INTRODUCTION 2. HILBERT-HUANG TRANSFORM (HHT) SPECTRAL ANALYSIS 2.1. Introduction 2.2. Conventional Spectral Analysis Methods 2.3. Empirical Mode Decomposition 2.4. Hilbert-Huang Spectra 2.5. Relationship Between HHT and Fourier Spectra 2.6. Volatility of Time Series 2.7. Degree of Stationarity of Time Series 2.8. Stationarity Tests 2.9. Concluding Comments 3. HILBERT-HUANG SPECTRA OF SIMULATED DATA 3.1. Introduction 3.2. Synthetic Data Analysis 3.3. Simulation of Nonstationary Random Processes 3.4. Confidence Intervals for Marginal Hilbert Spectrum 3.5. Concluding Comments 4. RAINFALL DATA ANALYSIS 4.1. Introduction and Data Used 4.2. HCN rainfall data 4.3. NCDC rainfall data 4.4. Concluding Comments 5. STREAMFLOW DATA ANALYSIS 5.1. Introduction and Data Used 5.2. USGS Streamflow Data 5.3. Analysis of Warta, Godavari and Krishna Rivers Flow Data 5.4. Concluding Comments 6. TEMPERATURE DATA ANALYSIS 6.1. Introduction and Data Used 6.2. European Long-term Monthly Temperature Time 6.3. HCN and NCDC Monthly Temperature Time Series 6.4. Concluding Comments 7. WIND DATA ANALYSIS 7.1. Introduction and Data Used 7.2. Hourly Wind Speed Data 7.3. Daily Average Wind Speed Data 7.4. Daily Peak Wind Speed Data 7.5. Concluding Comments 8. LAKE TEMPERATURE DATA ANALYSIS 8.1. Introduction and Data Used 8.2. Lake Temperature Spatial Series Analysis 9. CONCLUSIONS REFERENCES INDEX