## The final exam will be held on Monday, May 21, 2018, at 10.15 in YL124.

## 767301A / 767601S

# Time Series Analysis in Astronomy

an intermediate & advanced course (5 credits)

at the Astronomy research unit, University of Oulu

#### The course period: March 19 – May 8, 2018

#### Lectures, exercise and practical sessions take place usually on Monday at 10-12 and Tuesday and Thursday at 12-14, see WebOODI for detail.

#### The course is lectured in English

#### Teacher: Vitaly Neustroev, MA 302, vitaly[-at-]neustroev.net

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: March 19:**Introduction (Time Series, Light Curves, Time, Frequency, Phase, Ephemeris)

PDF**Lecture 2: March 20:**Introduction (Simplest methods of Time Series Analysis). Continuous and Discrete Fourier transforms, Power Density Spectrum.

PDF * Light Curve**Exercise session: March 22:**Program set N1.

**Lecture 3: March 26:**Continous <-> Discrete FT.

PDF**Lecture 4: March 29:**Discrete FT of a sinusoid.

PDF * Light Curve (sin)**Lecture 5: April 3:**Power Density Spectrum. Leahy normallization. Statistics of Power Spectra. Useful tips.

PDF * Poisson data * Normal Noise data * Light Curve (eclipses)**Exercise session: April 5:**

Conf. level data * Real Data 1**Exercise session: April 9.****Lecture 6: April 10:**Spectral Analysis with Unevenly-Spaced Data. Discrete Fourier Transform. Lomb-Scargle periodogram.

PDF * Paper (Deeming)**Exercise session: April 12:**

Lomb-Scargle Win * Lomb-Scargle Src * Test Data**Lecture 7: April 17:**Spectral Analysis with Unevenly-Spaced Data (cont.): Combined analysis of power spectra. Dealing with Aliases. CLEAN algorithm. Non-parametric Frequency Analysis Methods. Comparison of PDM and the LS method.

PDF * Paper (Sturrock)**Exercise session: April 19:**

Data for practical work * TimeRebin**Lecture 8: April 24:**Time Series Analysis in the Time Domain. Cross-Correlation. Autocorrelation. O-C Diagram.

PDF**Exercise session: April 26**

Additional Data for practical work**Exercise session: May 3**

Data for practice**Lecture 9: May 8:**Conclusion.

PDF

Time-Series for an exam: Intermidiate * Advanced