Paper Info
Title
Generalized method of moments for blind near efficient carrier phase acquisition
Abstract
In this paper, a blind carrier phase estimator based on a suitably weighted phase histogram of the received signal samples is phrased as a particular case of the GeneralizedMoments Method (GMM). More in general, in this contribution, we point out that the estimation of a shift parameter by means of the GMM can be realized using a fast, DFT based, computationally efficient, coarse-to-fine estimation procedure. Furthermore, we develop the statistical analysis needed to extend the estimator to the optimally weighed GMM estimator, i.e. the weighted estimator achieving the minimum estimate variance. The theoretical analysis of the optimally weighted estimator performances is carried out in close form. Finally, the theoretical weighted estimator performances are compared with those of the unweighed estimator, of a state-of- art estimator and of the Cramer-Rao lower bound. The performance improvement due to the optimal weighting is clearly appreciated, since, at medium to high SNR, it approaches the Cramer-Rao lower bound on all constellations.
Year
DOI
Venue
2009
10.5281/zenodo.41678
EUSIPCO
Keywords
Field
DocType
discrete fourier transforms,method of moments,phase estimation,signal detection,signal sampling,statistical analysis,cramer-rao lower bound,dft,gmm,snr,blind carrier phase acquisition,blind carrier phase estimator,coarse-to-fine estimation procedure,generalized method of moment,received signal sampling,shift parameter estimation,weighted phase histogram
Efficient estimator,Minimum-variance unbiased estimator,Mathematical optimization,Stein's unbiased risk estimate,Algorithm,Bias of an estimator,Trimmed estimator,Invariant estimator,Mathematics,Estimator,Consistent estimator
Conference
ISBN
Citations 
PageRank 
978-161-7388-76-7
0
0.34
References 
Authors
4
3
Name
Order
Citations
PageRank
Stefania Colonnese113726.43
Stefano Rinauro2508.72
Gaetano Scarano320931.32