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Temporal Data Analysis A.A. 2011/2012 Jerri A.J. 1977. The Shannon sampling theorem – Its various extensions and applications: A tutorial review. Proc. IEEE 65, 1565 Leahy D.A., Darbro W., Elsner R.F., Weisskopf M.C., Sutherland P.G., Kahn S., Grindlay J.E. 1983. On searches for pulsed emission with application to four globular clusters X–ray sources: NGC 1851, 6441, 6624 and 6712. ApJ 266, 160 Lomb N.R. 1976. Least-squares frequency analysis of unequally spaced data. Astrophys. Space Sci. 39, 447 Nowak M.A., Vaughan B.A., Wilms J., Dove J.B., Begelman M.C. 1999. RXTE observation of Cygnus X–1: II. Timing analysis. ApJ 510, 874 Scargle J.D. 1982. Studies in astronomical time series analysis. II. Statistical aspect of spectral analysis of unevenly spaced data. ApJ 263, 835 Shannon C.E. 1998. Communication in the presence of noise. Proc. IEEE 86, 447 Staubert R., Klochkov D., Wilms J. 2009. Updating the orbital ephemeris of Hercules X-1: Rate of decay and eccentricity of the orbit. A&A 500, 883 Vaughan B.A., van der Klis M., Wood K.S., Norris J.P., Hertz P., Michelson P.F., van Paradijs J., Lewin W.H.G., Mitsuda K., Penninx W. 1994. Searches for millisecond pulsations in low-mass X-ray binaries. II. ApJ 435, 362 110 M.Orlandini
AppendixA Examples Shown at the Blackboard 2.1 Calculation of Fourier Coefficients — Page 14 Constant Function f (t) f (t) = 1 for − T /2 ≤ t ≤ +T /2 − T 2 + T 2 t From the definitions of the Fourier coefficients A k (2.8) and A 0 (2.9) we have A k = 2 T = 2 T ∫ +T /2 −T /2 ∫ +T /2 −T /2 f (t)cosω k t dt cosω k t dt A 0 = 1 T = 1 T ∫ +T /2 −T /2 ∫ +T /2 −T /2 f (t)dt dt = 0 for k ≠ 0 = 1 From the definition of the Fourier coefficients B k (2.10) we have 111
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Temporal Data Analysis: Theory and
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Course Outline Table of Contents Li
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A.A. 2011/2012 Temporal Data Analys
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List of Figures 1.1 Classification
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List of Definitions 2.1 Even and od
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List of Theorems 2.1 Convolution th
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Part I Theory 1
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