[Eeglablist] Textbook Suggestions
ulrych at eos.ubc.ca
Tue Jul 3 15:03:38 PDT 2007
I enclose a reference to a book that you might find useful. Not EEG based, although it does have a smattering of blind deconvolution via ICA, but it is replete with signal processing and inversion. The fact that it is directed towards geophysical data should not deter those who are interested in processing and inversion since these subjects are ubiquitous. My favorite reading is in the fields of others external to mine.
You mention that you took only one class in DSP. The first 3 chapters stem from Mauricio and my experience in teaching undergraduate and graduate courses for about 400 years (in my case in particular). Your interest in spectral analysis is covered very fully in the text.
Forgive me for this self propaganda, but Elsevier is not Springer (and the book is useful).
Regards and fortune in your search and career.
INFORMATION-BASED INVERSION AND PROCESSING
T. J. Ulrych
The University of British Columbia, Vancouver, BC, Canada
M. D. Sacchi
The University of Alberta, Edmonton, Alberta, Canada
This book examines different classical and modern aspects of geophysical data processing and inversion with emphasis on the processing of seismic records in applied seismology.
Chapter 1 introduces basic concepts including: probability theory (expectation operator and ensemble statistics), elementary principles of parameter estimation, Fourier and z-transform essentials, and issues of orthogonality. In Chapter 2, the linear treatment of time series is
provided. Particular attention is paid to Wold decomposition theorem and time series models (AR, MA, and ARMA) and their connection to seismic data analysis problems. Chapter 3 introduces concepts of Information theory and contains a synopsis of those topics that are used throughout the book. Examples are entropy, conditional entropy, Burg's maximum entropy spectral estimator, and mutual information. Chapter 4 provides a description of inverse problems first from a deterministic point of view, then from a probabilistic one. Chapter 5 deals with methods to improve the signal-to-noise ratio of seismic records. Concepts from previous chapters are put in practice for designing prediction error filters for noise attenuation and high-resolution Radon operators. Chapter 6 deals with the topic of deconvolution and the inversion of acoustic impedance. The first part discusses band-limited extrapolation assuming a known wavelet and considers the issue of wavelet estimation. The second part deals with sparse deconvolution using various 'entropy' type norms. Finally, Chapter7 introduces recent topics of interest to the authors.
The emphasis of this book is on applied seismology but researchers in the area of global seismology and signal processing and inversion in general will find material that is relevant to the ubiquitous problem of estimating complex models from a limited number of noisy observations. This book is also particularly well suited for graduate students who are interested in the fields of data processing and inversion.
Bibliographic & ordering Information
Hardbound, 436 pages, publication date: DEC-2005
----- Original Message -----
From: Joe Mellet
To: eeglablist at sccn.ucsd.edu
Sent: Monday, July 02, 2007 8:48 AM
Subject: [Eeglablist] Textbook Suggestions
I was wondering if there are any suggestions for a book that reviews the basics of signal processing, especially helpful would be one that applies DSP principles to EEG signals. I just graduated with a degree in bioengineering from Penn State, but I only took one class on signal processing and could use a heck of a lot of review before I proceed with power spectral analysis on sleep EEG records. Thanks!
Unit for Experimental Psychiatry
Division of Sleep and Chronobiology
University of Pennsylvania School of Medicine
1033 Blockley Hall
423 Guardian Drive
Philadelphia, PA 19104-6021
Phone: (215) 573-3237
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