KLT of radio signals from relativistic spaceships in uniform and decelerated motion

Part of the Springer Praxis Books book series (PRAXIS)


It is well known that in special relativity two time variables exist: the coordinate time t, which is the time measured in the fixed reference frame, and the proper time \( \tau \), which is the time shown by a clock rigidly connected to the moving body.


Brownian Motion Radio Signal Coordinate Time Standard Brownian Motion Noisy Signal 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    P. G. Bergmann, Introduction to the Theory of Relativity, Prentice-Hall, Englewood Cliffs, NJ, 1942.MATHGoogle Scholar
  2. 2.
    C. Maccone, “Eigenfunctions and Energy for Time-Rescaled Gaussian Processes,” Bollettino dell’Unione Matematica Italiana, Series 6, 3-A (1984), 213–217.Google Scholar
  3. 3.
    L. Arnold, Stochastic Differential Equations, Wiley, New York, 1973.Google Scholar
  4. 4.
    R. Ash, Information Theory, Interscience, New York, 1965.MATHGoogle Scholar
  5. 5.
    A. Erdeélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher Transcendental Functions, Vol. 2, McGraw-Hill, New York, 1953.Google Scholar
  6. 6.
    G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, 1966.MATHGoogle Scholar
  7. 7.
    M. Abramowitz, and I. Stegun, Handbook of Mathematical Functions, Dover, New York, 1970.Google Scholar
  8. 8.
    N. N. Lebedev, Special Functions and Their Applications, Dover, New York, 1972.MATHGoogle Scholar
  9. 9.
    R. H. Cameron, and W. R. Martin, “The Wiener Measure of Hilbert Neighborhoods in the Space of Real Continuous Functions,” Journal of Mathematics and Physics of the M.I.T., 23 (1944), 195–201.MathSciNetMATHGoogle Scholar
  10. 10.
    C. Maccone, “Mathematical Algorithm to Detect Alien Spacecraft Approaching the Earth,” paper IAA-94-IAA.4.1.656 presented at the International Astronautical Congress held in Jerusalem, Israel, October 11, 1994. Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

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

Personalised recommendations