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 7: Introduction (Time Series, Light Curves, Time, Phase, Ephemeris)
  PDF
• Lecture 2: January 10: Introduction (Simplest methods of Time Series Analysis, Frequency).
  PDF * Light Curve (to download click right mouse button and “Save Link As”)
• Lecture 3: January 16: Harmonic Analysis. Fourier transform. Continuous and Discrete Fourier transforms, Power Density Spectrum.
  PDF
• Exercise session: January 21: How Continuous and Discrete FT are connected? Discrete FT of a sinusoid.
  Program set N1 * Program set N2 (simple plotting utilites) * Light Curve (sin)
• Lecture 4 and Exercise session: January 23: How Continuous and Discrete FT are connected? Discrete FT of a sinusoid.
  PDF