English

Information theory, Signal Analysis and Inverse Problem

Geophysics 2024-12-12 v3 Biological Physics

Abstract

This book is intended for teaching Signal Analysis methods and Inverse Problems theory. It is completely open access and will remain free. It is currently illustrated with examples that we have actually encountered in geophysics, but will eventually evolve to address problems in biology. The main idea is to develop this material over time (probably every six months) and throughout our careers. Therefore, it is not yet complete and some minor points need to be corrected in this English version. It is also available in French ( https://www.dropbox.com/scl/fi/yx9le4tbwjg0ur7llp0fj/TheorieInfoTTS_vf.pdf?rlkey=uvc1ku8v4ihhogkcy0w2iixdf&st=gcddwegm&dl=0 ) and Portuguese ( https://www.dropbox.com/scl/fi/mx46mgn66ob3r1z9r0igq/TheorieInfoTTS_vp.pdf?rlkey=c8m9e8dmbwf1npu4bwfqkhblr&st=xveovcvs&dl=0 ). The MATLAB codes we used can be found at the following address: https://www.dropbox.com/scl/fi/6tedk1xyquswmh0vcekfi/matlab_book.zip?rlkey=cbj5ura63qy6u57ij2yzgggkw&st=8gp4gddd&dl=0

Cite

@article{arxiv.2408.16361,
  title  = {Information theory, Signal Analysis and Inverse Problem},
  author = {Dominique Gibert and Fernando Lopes and Vincent Courtillot and Jean-Louis Le Mouël and Jean-Baptiste Boulé},
  journal= {arXiv preprint arXiv:2408.16361},
  year   = {2024}
}

Comments

334 pages, 97 figures

R2 v1 2026-06-28T18:27:25.864Z