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On the true Cramer-Rao lower bound for data-aided carrier-phase-independent frequency offset and symbol timing estimation

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3 Author(s)
Tavares, G. ; Dept. of Electr. & Comput. Eng., Inst. Super. Tecnico, Lisbon, Portugal ; Tavares, L. ; Petrolino, A.

In this letter we present new and simple closed form expressions for the true Cramer-Rao lower bound (CRB) for data-aided (DA) joint and individual carrier frequency offset and symbol timing estimation from a linearly modulated waveform transmitted over an AWGN channel. The bounds are derived under a carrier-phase-independent (CPI) estimation strategy wherein the carrier phase is viewed as a nuisance parameter and assumed to have a worst-case noninformative uniform distribution over [-¿, ¿]. The computation of these CRBs requires only a single numerical integration. In addition, computationally simpler yet highly accurate asymptotic lower bounds are presented. As particularizations, new bounds for individual CPI frequency estimation with known symbol timing from M-PSK and continuous wave (CW) signals are also reported.

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Communications, IEEE Transactions on  (Volume:58 ,  Issue: 2 )