Title :
Performance analysis of blind carrier frequency offset estimators for noncircular transmissions through frequency-selective channels
Author :
Ciblat, Philippe ; Loubaton, Philippe ; Serpedin, Erchin ; Giannakis, Georgios B.
Author_Institution :
Departement Commun. et Electronique, Ecole Nat. Superieure des Telecommun., Paris, France
fDate :
1/1/2002 12:00:00 AM
Abstract :
This paper deals with the problem of blind estimation of the carrier frequency offset of a linearly modulated noncircular transmission through an unknown frequency-selective channel. A frequency estimator is developed based on the unique conjugate cyclic frequency of the received signal, which is equal to twice the frequency offset. Consistency and asymptotic normality of the frequency estimator together with a closed-form expression for its asymptotic variance are also established. The closed-form expression of the asymptotic variance enables analysis of the performance of the proposed frequency offset estimator as a function of the number of estimated cyclic correlation coefficients used. It is shown that optimum is obtained if the number of correlation coefficients taken into account coincides with the degree of the channel. Numerical simulations are provided and confirm the conclusion of the theoretical asymptotic analysis
Keywords :
correlation methods; frequency estimation; interference suppression; intersymbol interference; land mobile radio; numerical analysis; optimisation; phase shift keying; signal processing; telecommunication channels; BPSK; ISI cancelation; asymptotic normality; asymptotic variance; blind carrier frequency offset estimators; closed-form expression; conjugate cyclic frequency; consistency; correlation coefficients; estimated cyclic correlation coefficients; frequency-selective channels; linearly modulated noncircular transmission; mobile communication systems; numerical simulations; performance analysis; received signal; Additive noise; Analysis of variance; Chirp modulation; Closed-form solution; Doppler shift; Frequency estimation; Harmonic analysis; Intersymbol interference; Numerical simulation; Performance analysis;
Journal_Title :
Signal Processing, IEEE Transactions on