Name
Abstract | ||
|---|---|---|
We consider symbol rate estimation of an unknown signal linearly modulated by a sequence of symbols. We rely on the received signal is cyclostationarity, and consider an existing estimator obtained by maximizing in the cyclic domain a (possibly weighted) sum of modulus squares of cyclic correlation estimates. Although widely used, this estimate seems not to have been studied rigorously when the number of samples N is large. In this paper, we study rigorously the asymptotic behavior of this estimate. We establish consistency and asymptotic normality of the estimate, prove that its convergence rate is N3'2, and calculate in closed form its asymptotic variance. The obtained formula allows us to discuss in relevant way on the influence of the number of estimated cyclic correlation coefficients to take into account in the cost function to maximize. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1109/TIT.2002.1013133 | EUSIPCO |
Keywords | Field | DocType |
weighted sum of modulus squares,blind symbol rate estimation,received signal,cyclic correlation-based symbol-rate estimators,signal sampling,noise,linearly modulated signal,asymptotic normality,parameter estimation,cyclic correlation coefficients,unweighted estimator,modulation,asymptotic analysis,matrix algebra,weighting matrix,fast convergence rate,high signal-to-noise,asymptotic variance,convergence of numerical methods,snr,large sample performance,performance analysis,closed-form expression,correlation methods,cyclostationary statistics,oversampling,asymptotic performance,correlation,estimation,signal to noise ratio,convergence,time series analysis | Convergence (routing),Correlation coefficient,Applied mathematics,Symbol rate,Rate of convergence,Statistics,Asymptotic analysis,Delta method,Mathematics,Estimator,Asymptotic distribution | Conference |
Volume | Issue | ISSN |
48 | 7 | 0018-9448 |
ISBN | Citations | PageRank |
978-952-1504-43-3 | 4 | 0.55 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| P. Ciblat | 1 | 198 | 15.01 |
| P. Loubaton | 2 | 917 | 81.08 |
| E. Serpedin | 3 | 554 | 40.14 |
| G. B. Giannakis | 4 | 11464 | 1206.47 |