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PhD defence by Thomas Lundgaard Hansen


15.05.2018 kl. 12.30 - 15.05.2018 kl. 16.00


“Sparsity-Based Algorithms for Line Spectral Estimation”

Line spectral estimation is a classical problem in signal processing. It has found broad application in for example array processing, wireless communication, localization, radar,

radio astronomy and audio. In the last decade we have seen significant research into sparsity-based processing techniques. The use of sparsity-based techniques has allowed for advances to both the design and analysis of algorithms for line spectral estimation. In this thesis we study the design of such algorithms.

The uniting theme of our contributions is the design of algorithms that make sparsity-based line spectral estimation viable in practice. First, it is demonstrated that these schemes can be applied to the estimation of wireless channels of not only specular but also of diffuse nature. We attribute that to a low-rank property of the channel covariance matrix, a concept that we elaborate on.

The design of algorithms for sparsity-based line spectral estimation in a general context is then considered. The obtained algorithms are computationally feasible for much larger problems than what concurrent algorithms can practically deal with and show high estimation accuracy.

Assessment Committee
Professor, Mario Figueiredo, University of Lisbon, Portugal
Professor, Dirk Slock, EURECOM, France
Professor, Søren H. Jensen, Aalborg University (Chairman)

Professor, Bernard H. Fleury, Aalborg University
Professor, Bhaskar D. Rao, University of California, San Diego

Associate Professor Carles N. Manchon, Aalborg University

After the defence there will be a reception at Fredrik Bajers Vej 7, room A1-112
Please feel welcome to join


Free of Charge


Wireless Communication Networks Section, Department of Electronic Systems


Aalborg University, Fredrik Bajers Vej 7, room A4-108

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