Spectral Analysis of Signals

The Missing Data Case

Yanwei Wang, Jian Li, Petre Stoica

• Publisher: Springer
• Year: 2022
• Print ISBN:
  9783031013973
• eBook ISBN:
  9783031025259
• Topic: Technology & Engineering
• Subtopic: Electrical Engineering & Telecommunications
• Index: Technology & Engineering

Spectral estimation is important in many fields including astronomy, meteorology, seismology, communications, economics, speech analysis, medical imaging, radar, sonar, and underwater acoustics. Most existing spectral estimation algorithms are devised for uniformly sampled complete-data sequences. However, the spectral estimation for data sequences with missing samples is also important in many applications ranging from astronomical time series analysis to synthetic aperture radar imaging with angular diversity. For spectral estimation in the missing-data case, the challenge is how to extend the existing spectral estimation techniques to deal with these missing-data samples. Recently, nonparametric adaptive filtering based techniques have been developed successfully for various missing-data problems. Collectively, these algorithms provide a comprehensive toolset for the missing-data problem based exclusively on the nonparametric adaptive filter-bank approaches, which are robust and accurate, and can provide high resolution and low sidelobes. In this book, we present these algorithms for both one-dimensional and two-dimensional spectral estimation problems.

Table of contents

• Cover
• Copyright Page
• Title Page
• Contents
• Preface
• List of Abbreviations
• 1. Introduction
• 2. APES for Complete Data Spectral Estimation
• 3. Gapped-Data APES
• 4. Maximum Likelihood Fitting Interpretation of APES
• 5. One-Dimensional Missing-Data APES via Expectation Maximization
• 6. Two-Dimensional MAPES via Expectation Maximization and Cyclic Maximization
• 7. Conclusions and Software
• References
• The Authors