765368A / 765668S

Time Series Analysis in Astronomy

 

an intermediate & advanced course (6 credits)

at the Astronomy Division, University of Oulu

 

The course period January 25 – March 24, 2016

Lectures, and exercise and practical sessions take place on Monday at 12-14 and Thursday at 10-12 in TÄ 219

The course is lectured in English

Teacher: Vitaly Neustroev, TÄ 218, ph. 5531930, vitaly.neustroev [at] oulu.fi

 


 
Course content:

  • Time Series Analysis: Methods for evenly sampled data
  • Time Series Analysis: Methods for unevenly sampled data
  • Timing methods in Optical and X-ray Astronomy
  • Timing features in Optical and X-ray Astronomy

Theoretical and practical considerations will be supplemented with the home exercises which constitute the important part of the course.

 
Literature:

  • Fourier Analysis of Time Series: An Introduction (2nd edition – 2000) – P. Bloomfield: ISBN: 978-0-471-88948-9
  • Asteroseismology (2010) – C. Aerts, J. Christensen-Dalsgaard, D. W. Kurtz: ISBN: 978-1-4020-5178-4
  • Fourier techniques in X-ray timing (1988) – M. van der Klis: can be downloaded from here
  • Fourier Analysis with Unequally-Spaced Data (1975) – T. J. Deeming: can be downloaded from here
  • Astronomical Time Series Analysis: Lecture Notes – Jaan Pelt: can be downloaded from here

 
Schedule

  • Lecture 1: January 25: Introduction (Time Series, Light Curves, Time, Frequency, Phase, Ephemeris)
    PDF * Light Curve
  • Lecture 2: January 28: Continuous and Discrete Fourier transforms, Power Density Spectrum.
    PDF
  • Exercise session: February 1:
    Programs N1.
  • Exercise session: February 4:
     
  • Lecture 3: February 8: Power Density Spectrum. Leahy normallization.
    PDF * Poisson data * Light Curve (eclipses) * Light Curve (sin)
  • Lecture 4: February 11: Statistics of Power Spectra.
    PDF * Conf.zip * Viewer * Real Data 1
  • Lecture 5: February 18: Statistics of Power Spectra (cont). Useful tips.
    PDF
  • Lecture 6: February 22: Spectral Analysis with Unevenly-Spaced Data. Discrete Fourier Transform. Lomb-Scargle periodogram.
    PDF * Paper (Deeming) * Lomb-Scargle Win * Lomb-Scargle Src * Test Data
  • Lecture 7: February 29: Spectral Analysis with Unevenly-Spaced Data. Combined analysis of power spectra. Dealing with Aliases. CLEAN algorithm.
    PDF * Paper (Sturrock)
  • Lecture 8 (self-study): March 3: Spectral Analysis with Unevenly-Spaced Data. Non-parametric Frequency Analysis Methods.
    PDF
  • Lecture 9: March 14: Spectral Analysis with Unevenly-Spaced Data. Comparison of PDM and the LS method.
    PDF (same file)
  • Lecture 10: March 17: Time Series Analysis in the Time Domain. Cross-Correlation. Autocorrelation. O-C Diagram.
    PDF
  • Lecture 11: March 21: Conclusion.
    PDF
  • Exercise session: March 24:
    Data for practical work.
  • Exercise session: April 4
  • Exercise session: April 7
  • Final exercise session: April 11

Time-Series for an exam.