DocumentCode :
862552
Title :
Asymptotic Performance for Delayed Exponential Process
Author :
Boyer, Rémy ; Abed-Meraim, Karim
Author_Institution :
CNRS-LSS-Supelec, Univ. Paris XI, Gif-sur-Yvette
Volume :
55
Issue :
6
fYear :
2007
fDate :
6/1/2007 12:00:00 AM
Firstpage :
3139
Lastpage :
3143
Abstract :
The damped and delayed sinusoidal (DDS) model can be defined as the sum of M sinusoids whose waveforms can be damped and delayed. This model is suitable for compactly modeling short time events. This property is closely related to its ability to reduce the time-support of each sinusoidal component. In this correspondence, we derive exact and approximate asymptotic Crameacuter-Rao bounds (CRBs) for the DDS model. This analysis shows that this model has better, or at least similar, theoretical performance than the well-known exponentially damped sinusoidal (EDS) model. In particular, the performance in the DDS case is significantly improved compared to that of the EDS for closely spaced sinusoids thanks to the nonzero time delays. Consequently, we can exploit the advantageous properties of the DDS model and, in the same time, we can keep high theoretical model parameter estimation accuracy
Keywords :
signal processing; CRB; asymptotic Cramer-Rao bounds; asymptotic performance; damped and delayed sinusoidal model; delayed exponential process; exponentially damped sinusoidal model; Algorithm design and analysis; Biomedical signal processing; Delay effects; Frequency; Parameter estimation; Parametric statistics; Performance analysis; Propagation delay; Signal processing; Signal processing algorithms; Approximate bound; conditional Cramér–Rao bound (CCRB); delayed sinusoids;
fLanguage :
English
Journal_Title :
Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1053-587X
Type :
jour
DOI :
10.1109/TSP.2007.893980
Filename :
4203042
Link To Document :
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