Digital Signal Processing and Spectral Analysis for Scientists

1. Front Matter

   Pages i-xxiv

   PDF

2. Introduction

   • Silvia Maria Alessio

   Pages 1-19

3. Basic Theoretical Concepts

   1. Front Matter

      Pages 21-21

      PDF

   2. Discrete-Time Signals and Systems

      • Silvia Maria Alessio

      Pages 23-53

   3. Transforms of Discrete-Time Signals

      • Silvia Maria Alessio

      Pages 55-132

   4. Sampling of Continuous-Time Signals

      • Silvia Maria Alessio

      Pages 133-152

   5. Spectral Analysis of Deterministic Discrete-Time Signals

      • Silvia Maria Alessio

      Pages 153-182

4. Digital Filters

   1. Front Matter

      Pages 183-183

      PDF

   2. Digital Filter Properties and Filtering Implementation

      • Silvia Maria Alessio

      Pages 185-221

   3. FIR Filter Design

      • Silvia Maria Alessio

      Pages 223-262

   4. IIR Filter Design

      • Silvia Maria Alessio

      Pages 263-367

5. Spectral Analysis

   1. Front Matter

      Pages 369-369

      PDF

   2. Statistical Approach to Signal Analysis

      • Silvia Maria Alessio

      Pages 371-401

   3. Non-Parametric Spectral Methods

      • Silvia Maria Alessio

      Pages 403-464

   4. Parametric Spectral Methods

      • Silvia Maria Alessio

      Pages 465-535

   5. Singular Spectrum Analysis (SSA)

      • Silvia Maria Alessio

      Pages 537-571

   6. Non-stationary Spectral Analysis

      • Silvia Maria Alessio

      Pages 573-642

6. Signal Decomposition, De-noising and Compression

   1. Front Matter

      Pages 643-643

      PDF

   2. Discrete Wavelet Transform (DWT)

      • Silvia Maria Alessio

      Pages 645-714

   3. De-noising and Compression by Wavelets

      • Silvia Maria Alessio

      Pages 715-742

This book covers the basics of processing and spectral analysis of monovariate discrete-time signals. The approach is practical, the aim being to acquaint the reader with the indications for and drawbacks of the various methods and to highlight possible misuses. The book is rich in original ideas, visualized in new and illuminating ways, and is structured so that parts can be skipped without loss of continuity. Many examples are included, based on synthetic data and real measurements from the fields of physics, biology, medicine, macroeconomics etc., and a complete set of MATLAB exercises requiring no previous experience of programming is provided. Prior advanced mathematical skills are not needed in order to understand the contents: a good command of basic mathematical analysis is sufficient. Where more advanced mathematical tools are necessary, they are included in an Appendix and presented in an easy-to-follow way. With this book, digital signal processing leaves the domain of engineering to address the needs of scientists and scholars in traditionally less quantitative disciplines, now facing increasing amounts of data.

• Digital Filters
• Digital Signal Processing
• Discrete-time Signals
• Evolutionary Spectral Analysis
• Stationary Spectral Analysis
• Time Series Analysis
• remote sensing/photogrammetry

“It is intended for scientists and engineers, practitioners as well as students, who are interested in the practical application of methods, and less interested in the mathematical and theoretical background. … It is a marvelous and very practical book with an awful lot of information.” (A. Bultheel, Mathematical Reviews, August, 2016)

• Physics, University of Turin, Turin, Italy

  Silvia Maria Alessio

Silvia Maria Alessio is Assistant Professor of Digital Signal Processing and Physics of the Atmosphere at University of Torino, Italy. Her research focuses mainly on geophysics, more precisely the physics of atmosphere and of environmental, climatic and paleo-climatic problems.

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