### 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 N^{3}'^{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.

Original language | English |
---|---|

Article number | 7075643 |

Journal | European Signal Processing Conference |

Volume | 2015-March |

Issue number | March |

Publication status | Published - 31 Mar 2015 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Signal Processing
- Electrical and Electronic Engineering

### Cite this

*European Signal Processing Conference*,

*2015-March*(March), [7075643].

**Asymptotic analysis of blind cyclic correlation based symbol rate estimation.** / Ciblat, P.; Loubaton, P.; Serpedin, Erchin; Giannakis, G. B.

Research output: Contribution to journal › Article

*European Signal Processing Conference*, vol. 2015-March, no. March, 7075643.

}

TY - JOUR

T1 - Asymptotic analysis of blind cyclic correlation based symbol rate estimation

AU - Ciblat, P.

AU - Loubaton, P.

AU - Serpedin, Erchin

AU - Giannakis, G. B.

PY - 2015/3/31

Y1 - 2015/3/31

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84937064917&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84937064917&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84937064917

VL - 2015-March

JO - European Signal Processing Conference

JF - European Signal Processing Conference

SN - 2219-5491

IS - March

M1 - 7075643

ER -