KLT of radio signals from relativistic spaceships in arbitrary motion

  • Claudio Maccone
Part of the Springer Praxis Books book series (PRAXIS)


In three papers [1–3] the present author applied the concept of time-rescaled Brownian motion to aspects of relativistic interstellar flight ranging from communication theory to genetics. The content of the present chapter was fully published in paper form in [11].


Brownian Motion Bessel Function Asymptotic Approximation Radio Signal Instantaneous Energy 
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  1. 1.
    C. Maccone, “Relativistic Interstellar Flight and Gaussian Noise,” Acta Astronautica, 17(9) (1988), 1019–1027.ADSCrossRefGoogle Scholar
  2. 2.
    C. Maccone, “Relativistic Interstellar Flight and Instantaneous Noise Energy,” Acta Astronautica, 21(3) (1990), 155–159.MathSciNetADSCrossRefGoogle Scholar
  3. 3.
    C. Maccone, “Relativistic Interstellar Flight and Genetics,” Journal of the British Interplanetary Society, 43 (1990), 569–572.Google Scholar
  4. 4.
    E. Mallove, and G. Matloff, The Starflight Handbook: A Pioneer’s Guide to Interstellar Travel, Wiley, New York, 1989.Google Scholar
  5. 5.
    D. Goldsmith, The Quest for Extraterrestrial Life: A Book of Readings, University Science Books, Mill Valley, CA, 1980.Google Scholar
  6. 6.
    C. Maccone, “Eigenfunctions and Energy for Time-Rescaled Gaussian Processes,” Bollettino dell’Unione Matematica Italiana, Series 6, 3-A (1984), 213–219.Google Scholar
  7. 7.
    C. Maccone, “The Karhunen–Loève Expansion of the Zero-Mean Square Process of a Time-Rescaled Gaussian Process,” Bollettino dell’Unione Matematica Italiana, Series 7, 2-A (1988), 221–229.Google Scholar
  8. 8.
    C. Maccone, “Special Relativity and the Karhunen–Loève Expansion of Brownian Motion,” Il Nuovo Cimento, Series B, 100 (1987), 329–341.MathSciNetGoogle Scholar
  9. 9.
    C. Maccone, “The Time-Rescaled Brownian Motion B(t 2H),” Bollettino dell’Unione Matematica Italiana, Series 6, 4-C (1985), 363–378.Google Scholar
  10. 10.
    A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher Transcendental Functions, Vol. 2, McGraw-Hill, New York, 1953.Google Scholar
  11. 11.
    C. Maccone, “Relativistic Interstellar Flight Communication Theorems,” Acta Astronautica, 26(2) (1992), 105–117.ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.International Academy of Astronautics and Istituto Nazionale di AstrofisicaTorino (Turin)Italy

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