@inproceedings{422524d4040e498399a475a9ec82a191,

title = "Strong consistency of the over- and under-determined LSE of 2-D exponentials in white noise",

abstract = "We consider the problem of least squares estimation of the parameters of 2-D exponential signals observed in the presence of an additive noise field, when the assumed number of exponentials is incorrect. We consider both the case where the number of exponential signals is under-estimated, and the case where the number of exponential signals is over-estimated. In the case where the number of exponential signals is under-estimated we prove the almost sure convergence of the least squares estimates to the parameters of the dominant exponentials. In the case where the number of exponential signals is over-estimated, the estimated parameter vector obtained by the least squares estimator contains a sub-vector that converges almost surely to the correct parameters of the exponentials.",

author = "Francos, {Joseph M.} and Mark Kliger",

year = "2005",

month = jan,

day = "1",

doi = "10.1109/ICASSP.2005.1416097",

language = "English",

isbn = "0780388747",

series = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "IV669--IV672",

booktitle = "2005 IEEE ICASSP '05 - Proc. - Design and Implementation of Signal Proces.Syst.,Indust. Technol. Track,Machine Learning for Signal Proces. Signal Proces. Education, Spec. Sessions",

address = "United States",

note = "2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05 ; Conference date: 18-03-2005 Through 23-03-2005",

}