Detection and estimation of spikes in presence of noise and interference

Damien Passemier (1) , Abla Kammoun (2) , Merouane Debbah (3)

1 ECE - Electronic and Computer Engineering Department [Hong Kong]
2 KAUST - King Abdullah University of Science and Technology [Saudi Arabia]
3 Chaire Radio Flexible - Chaire Radio Flexible Alcatel-Lucent/Supélec

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.

Domaines: Statistiques [math.ST]; Théorie [stat.TH]; Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Damien Passemier, Abla Kammoun, Merouane Debbah. Detection and estimation of spikes in presence of noise and interference. 2014. ⟨hal-00993205⟩