Title
Blind feedforward cyclostationarity-based timing estimation for linear modulations
Abstract
By exploiting a general cyclostationary (CS) statistics-based framework, this letter develops a rigorous and unified asymptotic (large sample) performance analysis setup for a class of blind feedforward timing epoch estimators for linear modulations transmitted through time nonselective flat-fading channels. Within the proposed CS framework, it is shown that several estimators proposed in the literature can be asymptotically interpreted as maximum likelihood (ML) estimators applied on a (sub)set of the second- (and/or higher) order statistics of the received signal. The asymptotic variance of these ML estimators is established in closed-form expression and compared with the modified Crame´r-Rao bound. It is shown that the timing estimator proposed by Oerder and Meyr achieves asymptotically the best performance in the class of estimators which exploit all the second-order statistics of the received signal, and its performance is insensitive to oversampling rates P as long as P≥3. Further, an asymptotically best consistent estimator, which achieves the lowest asymptotic variance among all the possible estimators that can be derived by exploiting jointly the second- and fourth-order statistics of the received signal, is also proposed.
Year
DOI
Venue
2004
10.1109/TWC.2004.827734
IEEE Transactions on Wireless Communications
Keywords
Field
DocType
consistent estimator,asymptotic variance,proposed cs framework,blind feedforward timing epoch,blind feedforward cyclostationarity-based timing,performance analysis setup,unified asymptotic,possible estimator,best performance,linear modulation,ml estimator,lowest asymptotic variance,bandwidth,fading channel,computer simulation,closed form solution,second order,synchronization,feedforward,modulation,lower bound,maximum likelihood estimation,phase shift keying,higher order,indexing terms,maximum likelihood,order statistic,power series expansion,cramer rao bound
Cramér–Rao bound,M-estimator,Higher-order statistics,Algorithm,Real-time computing,Order statistic,Statistics,Delta method,Mathematics,Cyclostationary process,Consistent estimator,Estimator
Journal
Volume
Issue
ISSN
3
3
1536-1276
Citations 
PageRank 
References 
13
0.75
7
Authors
3
Name
Order
Citations
PageRank
Yan Wang117615.31
E. Serpedin255440.14
P. Ciblat319815.01