- Please note that the presentations on Wednesday, March 18, will be held online using zoom (see the email for details - if you have not got it, please get in touch!).
- Project proposals. By Thursday February 6th we need your group's project preferences, ranking 1st, 2nd, and 3rd choice.
- The project presentations will be held on March 18, at 13-15, and on April 29, at 9-12.
The course provides an overview of different modern techniques in statistical spectral analysis, for both stationary and non-stationary signals and processes, with material that ranges between statistics and signal processing. The purpose of the course is to deepen and widen the knowledge for such methods, as there is a large need for more advanced techniques in many application areas, e.g., communication and medicine. The course will contain material on basic definitions and an overview of classical non-parametric methods. Furthermore, more statistically robust techniques that have become more common during recent years will be covered, such as subspace-based parametric techniques and non-parametric data-adaptive and multi-taper methods. The course also covers non-uniform sampling, non-circular processes, and spatial spectral analysis, topics that find applications in an ever-growing number of fields. Time-frequency analysis is a modern tool for investigation of non-stationary signals and processes. The research in this area has expanded during the last 20 years, making this is a common tool for analysis. The course will cover both classical and modern time-frequency approaches. Many applications will be presented and discussed during the course and the participants will work with real data.
Higher education credits: 7,5 Level: A
Language of instruction: This course may be offered in English (if non-Swedish speaking students are attending).
Required prequisites for FMSN35: FMSF10 Stationary stochastic processes.
Required prequisites for MASM26: FMSF10 Stationary stochastic processes and MASM17 Time series analysis.
Assessment: Written and oral project presentation and hand-ins.
- Stoica & Moses, 'Spectral analysis of signals', Prentice-Hall, 2005.
- Maria Sandsten, 'Time-Frequency Analysis of Time-Varying Signals and Non-Stationary Processes: An Introduction', 2020.
- Various research papers
- The course material and the relevant literature can be found here.
- Lecture 1, Parametric and semi-parametric spectral estimation. (AJ)
- Lecture 2, Semi-parametric spectral estimation. (AJ)
- Lecture 3, Group sparsity, ADMM, damped modes. (AJ)
- Lecture 4, Spatial signal processing. (AJ)
- Lecture 5, The spectrogram and the Wigner distribution. (MS)
- Lecture 6, Ambiguity kernel design and time-frequency distributions. (MS)
- Lecture 7, Time-frequency distributions and multitapers. (MS)
- Lecture 8, Optimal resolution and stochastic time-frequency analysis. (MS)
- Project presentation, TBD. (AJ & MS)
The detailed schedule can be found here.