Closed-form expressions for the exact Cramér-Rao bound for parameter estimation of arbitrary square QAM-modulated signals

Authors:
Faouzi Bellili;Nesrine Atitallah;Sofiène Affes;Alex Stéphenne
Affiliations:
INRS-EMT, Montreal, Qc, Canada;INRS-EMT, Montreal, Qc, Canada;INRS-EMT, Montreal, Qc, Canada;INRS-EMT, Montreal, Qc, Canada
Venue:
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
Year:
2009

Citing 2
Cited 1

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Fundamentals of statistical signal processing: estimation theory
Cramér-Rao bound for NDA SNR estimates of square QAM modulated signals

WCNC'09 Proceedings of the 2009 IEEE conference on Wireless Communications & Networking Conference

Cramér-Rao lower bounds for frequency and phase NDA estimation from arbitrary square QAM-modulated signals

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Abstract

In this paper, we derive analytical expressions for the exact Cramér-Rao lower bounds (CRLBs) for the joint estimation of the carrier frequency, the carrier phase, the noise power and the signal amplitude of square quadrature amplitude (QAM)- modulated signals. The channel is assumed to be slowly time-varying so that it can be assumed constant over the observation interval. The signal is assumed to be corrupted by additive white Gaussian noise (AWGN). The closed-form expressions for the corresponding modified Cramér-Rao lower bounds (MCRLBs) are also derived in this paper.