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 Wang | 1 | 176 | 15.31 |
E. Serpedin | 2 | 554 | 40.14 |
P. Ciblat | 3 | 198 | 15.01 |