Temporal Data Analysis:
Theory and Procedures

Mauro Orlandini
Lecture Notes
Download the PDF file of the lecture notes in booklet format
Download the PDF file of the lecture notes in slide format
Download the data files for the practical session (32 MB)

Course Outline

  • Part I: Theory
    1. Classification of Physical Data
      • Deterministic Data
      • Random Data
    2. Harmonic Analysis
      • Fourier Series
      • Continuous Fourier Transformation
      • Window Functions
    3. Temporal Analysis on Digital Data
      • Discrete Fourier Transform
      • Theorems and Rules
      • Convolution, Parseval Theorem
      • The Sampling Theorem
      • Fast Fourier Transform
  • Part II: Procedures
    1. Procedures for Analyzing Random Data
      • Procedures for Analyzing Individual Records
      • Procedures for Analyzing a Collection of Records
    2. Temporal Analysis in X-ray Astronomy
      • Power Spectra in X-ray Astronomy
      • Power Spectral Statistics
      • The Signal Power
      • Detection of Features
      • Power Spectral Searches Made Easy
      • Types of Variability
      • Analysis of Unevenly Sampled Data
      • Analysis of a Coherent Signal

Suggested Bibliography

Random Data: Analysis and Measurement Procedures, 4th Edition
Bendat J.S. and Piersol A.G.
Wiley-Interscience (2010)
ISBN: 978-0-470-24877-5
Fourier Transformation for Pedestrian
Butz T.
Springer-Verlag (2006)
ISBN: 978-3-540-23165-3
The Fourier Transform and its Applications
Osgood Brad G.
30 video lectures (about 50 min each) available online
Fourier Techniques in X-ray Timing
van der Klis M.
in Timing neutron Stars, H. Ögelman and E.P.J. van den Heuvel (eds), Kluwer Academic Pub., p.27-69 (1989)
Numerical Recipes: The Art of Scientific Computing
Press W.H., Teukolsky S.A., Vetterling W.T. and Flannery B.P.
Cambridge University Press
ISBN: 978-0-521-88068-8

Software

For the data analysis we will use the X-ray timing analysis package XRONOS, part of the Xanadu sotware, freely available from the HEAsoft download page.

This file was last modified on Friday, 10-May-2019 10:55:58 CEST by Mauro Orlandini

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