Parametric and Non-Parametric Digital Methods
Publication Date: May 2006 Hardback 264 pp.
In signal processing, the concepts of frequency, which are usually referred to as “spectral” concepts, are omnipresent. The transition from analog methods to the use of digital tools in spectral analysis was first achieved by simple adaptation of the classical analog tools which had previously been used for a long time. However, beyond the simple quest for methods with better frequency resolution, it has been possible to develop specific digital tools based on parametric modeling.
This book deals with these parametric methods, first discussing those based on time series models, Capon’s method and its variants, and then estimators based on the notions of sub-spaces. However, it also deals with the traditional “analog” methods, now called non-parametric methods, which are still the most widely used in practical spectral analysis, thus providing a comprehensive overview which will be of great interest to anyone involved in this subject.
Part I: Tools for spectral analysis
1. Fundamentals, Francis Castanié.
2. Digital processing of signals, Eric Le Carpentier.
3. Estimation in spectral analysis, Olivier Besson and André Ferrari.
4. Time-series models, Francis Castanié.
Part II: Non-parametric methods
5. Non-parametric methods, Eric Le Carpentier.
Part III: Parametric methods
6. Modeling of stationary time series, Corinne Mailhes and Francis Castanié.
7. Minimum variance, Nadine Martin.
8. Sub-space based estimators, Sylvie Marcos.
9. Spectral analysis of random non-stationary signals, Corinne Mailhes and Francis Castanié.
About the Authors
Francis Castanié is the Director of the Research Laboratory Telecommunications for Space and Aeronautics (TeSA). He joined the CNRS Institut de Recherche en Informatique de Toulouse (IRIT) in 2002, where he heads the Signal and Communication Group.