Authors:
- The first book to include a full mathematical derivation of the Statistical Drake Equation and describe its many applications
- Demonstrates high level mathematical techniques for the solution of a variety of SETI problems
- Describes how use of the Karhunen-Loeve Transform leads to a dramatic improvement in SETI signal processing
- Discusses important topics of current SETI research relating to exoplanet searches and civilizations within the Galaxy
Part of the book series: Springer Praxis Books (PRAXIS)
Part of the book sub series: Astronomy and Planetary Sciences (ASTRONOMY)
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Table of contents (30 chapters)
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Front Matter
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SETI statistics
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Front Matter
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Space Missions to Exploit Gravitational Lensing
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Front Matter
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KLT for optimal signal processing
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Front Matter
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About this book
This book introduces the Statistical Drake Equation where, from a simple product of seven positive numbers, the Drake Equation is turned into the product of seven positive random variables. The mathematical consequences of this transformation are demonstrated and it is proven that the new random variable N for the number of communicating civilizations in the Galaxy must follow the lognormal probability distribution when the number of factors in the Drake equation is allowed to increase at will.
Mathematical SETI also studies the proposed FOCAL (Fast Outgoing Cyclopean Astronomical Lens) space mission to the nearest Sun Focal Sphere at 550 AU and describes its consequences for future interstellar precursor missions and truly interstellar missions. In addition the author shows how SETI signal processing may be dramatically improved by use of the Karhunen-Loève Transform (KLT) rather than Fast Fourier Transform (FFT). Finally, he describes the efforts made to persuade the UnitedNations to make the central part of the Moon Far Side a UN-protected zone, in order to preserve the unique radio-noise-free environment for future scientific use.
Keywords
- Drake Equation
- FFT
- Fast Fourier Transform
- Habitability
- Habitable Zone
- Hipparcos Catalogue
- KLT
- Karhunen-Loeve Transform
- Mathematical Models of Evolution
- Mathematical Models of Human History
- Radio Antennas
- SETI
- Search for extraterrestrial intelligence
- Search for extraterrestrial life
- Signal Processing
Authors and Affiliations
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Torino, Italy
Claudio Maccone
Bibliographic Information
Book Title: Mathematical SETI
Book Subtitle: Statistics, Signal Processing, Space Missions
Authors: Claudio Maccone
Series Title: Springer Praxis Books
DOI: https://doi.org/10.1007/978-3-642-27437-4
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2012
Hardcover ISBN: 978-3-642-27436-7Published: 30 August 2012
Softcover ISBN: 978-3-662-50609-7Published: 30 April 2017
eBook ISBN: 978-3-642-27437-4Published: 30 August 2012
Edition Number: 1
Number of Pages: LII, 724
Number of Illustrations: 60 b/w illustrations, 49 illustrations in colour
Additional Information: Jointly published with Praxis Publishing, UK
Topics: Astronomy, Observations and Techniques, Signal, Image and Speech Processing, Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics), Astrobiology, Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences