Detection and estimation of spikes in presence of noise and interference

Konferenz: European Wireless 2014 - 20th European Wireless Conference
14.05.2014 - 16.05.2014 in Barcelona, Spain

Tagungsband: European Wireless 2014

Seiten: 4Sprache: EnglischTyp: PDF

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Passemier, Damien (Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong)
Kammoun, Abla (CEMSE Division, King Abdullah University of Science and Technology, Saudi Arabia)
Debbah, Merouane (Alcatel-Lucent Chair, Supelec, Gif-sur-Yvette, France)

In many practical situations, the useful signal is contained in a low-dimensional subspace, drown in noise and interference. Many questions related to the estimation and detection of the useful signal arise. Because of their particular structure, these issues are in connection to the problem that the mathematics community refers to as ”spike detection and estimation”. Previous works in this direction have been restricted to either determining the number of spikes or estimating their values while knowing their multiplicities. This motivates our work which considers the joint estimation of the number of spikes and their corresponding orders, a problem which has not been yet investigated to the best of our knowledge.