edited by Norden E Huang (NASA Goddard Space Flight Center, USA) & Samuel S P Shen (University of Alberta, Canada)

Table of Contents (72k)
Preface (65k)
Chapter 1: Introduction to the Hilbert-Huang Transformand its Related Mathematical Problems (936k)

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.

• Theoretical Aspects:Introduction to the Hilbert–Huang Transform and Its Related Mathematical Problems (N E Huang)
  • B-Spline Based Empirical Mode Decomposition (S Riemenschneider et al.)
  • EMD Equivalent Filter Banks, from Intrepretation to Applications (P Flandrin et al.)
  • HHT Sifting and Filtering (R N Meeson)
  • Statistical Significance Test of Intrinsic Mode Functions (Z Wu & N E Huang)
• Applications to Geophysics:
  • The Application of Hilbert–Huang Transforms to Meteorological Datasets (D G Duffy)
  • Empirical Mode Decomposition and Climate Variability (K Coughlin & K K Tung)
  • EMD Correction of Orbital Drift Artifacts in Satellite Data Stream (J E Pinzón et al.)
  • HHT Analysis of the Nonlinear and Non-Stationary Annual Cycle of Daily Surface Air Temperature Data (S S P Shen et al.)
  • Hilbert Spectra of Nonlinear Ocean Waves (P A Hwang et al.)
• Applications to Structural Safety:
  • EMD and Instantaneous Phase Detection of Structural Damage (L W Salvino et al.)
  • HHT-Based Bridge Structural Health-Monitoring Method (N E Huang et al.)
• Applications to Visualization:
  • Applications of HHT in Image Analysis (S R Long)