Detection and estimation of spikes in presence of noise and interference
Statistics Theory
2014-05-20 v1 Statistics Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1405.4846,
title = {Detection and estimation of spikes in presence of noise and interference},
author = {Damien Passemier and Abla Kammoun and Mérouane Debbah},
journal= {arXiv preprint arXiv:1405.4846},
year = {2014}
}