Abstract / truncated to 115 words (read the full abstract)

This thesis is based on nine papers, all concerned with parameter estimation. The thesis aims at solving problems related to real-world applications such as spectroscopy, DNA sequencing, and audio processing, using sparse modeling heuristics. For the problems considered in this thesis, one is not only concerned with finding the parameters in the signal model, but also to determine the number of signal components present in the measurements. In recent years, developments in sparse modeling have allowed for methods that jointly estimate the parameters in the model and the model order. Based on these achievements, the approach often taken in this thesis is as follows. First, a parametric model of the considered signal is derived, containing ... toggle 12 keywords

parameter estimation sparse models convex optimization symbolic periodicity n-dimensional exponentially decaying sinusoids alternating direction method of multipliers covariance fitting multi-pitch estimation off-grid estimation dictionary learning atomic norm sampling schemes.

Information

Author
Swärd, Johan
Institution
Lund University
Supervisor
Publication Year
2017
Upload Date
Aug. 18, 2017

First few pages / click to enlarge

The current layout is optimized for mobile phones. Page previews, thumbnails, and full abstracts will remain hidden until the browser window grows in width.

The current layout is optimized for tablet devices. Page previews and some thumbnails will remain hidden until the browser window grows in width.