KLT of radio signals from relativistic spaceships in uniform and decelerated motion
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.
KeywordsBrownian Motion Radio Signal Coordinate Time Standard Brownian Motion Noisy Signal
Unable to display preview. Download preview PDF.
- 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.L. Arnold, Stochastic Differential Equations, Wiley, New York, 1973.Google Scholar
- 5.A. Erdeélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher Transcendental Functions, Vol. 2, McGraw-Hill, New York, 1953.Google Scholar
- 7.M. Abramowitz, and I. Stegun, Handbook of Mathematical Functions, Dover, New York, 1970.Google Scholar
- 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