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ML-oriented NDA carrier synchronization for general rotationally symmetric signal constellations

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2 Author(s)
Moeneclaey, M. ; Commun. Eng. Lab., Ghent Univ., Belgium ; De Jonghe, G.

We point out that the nondecision-aided (NDA) carrier synchronizer, maximizing the low Es/No limit of the likelihood function averaged over a general 2π/N-rotationally symmetric signal constellation, reduces to the familiar timing-aided Nth power synchronizer; this extends a result of D'Andrea, Mengali and Reggiannini (1988) where only M-PSK constellations have been considered. Whereas in the case of M-PSK the tracking error variance of this NDA ML synchronizer is known to converge to the Cramer-Rao bound (CRB) with increasing Es/No. We show that for other rotationally symmetric constellations (such as QAM) the tracking error variance is substantially larger than the CRB

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Communications, IEEE Transactions on  (Volume:42 ,  Issue: 8 )