Cramér-Rao bound for NDA SNR estimates of square QAM modulated signals

Authors:
Faouzi Bellili;Alex Stéphenne;Sofiène Affes
Affiliations:
INRS-EMT, Montreal, QC, Canada;INRS-EMT and Ericsson Canada, Montreal, QC, Canada;INRS-EMT, Montreal, QC, Canada
Venue:
WCNC'09 Proceedings of the 2009 IEEE conference on Wireless Communications & Networking Conference
Year:
2009

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Abstract

In this paper, we derive analytical expressions for the inphase/quadrature Cramér-Rao lower bounds (I/Q CRLB) for the non-data-aided (NDA) signal-to-noise ratio (SNR) estimation of square quadrature amplitude modulated (QAM) signals. The channel is supposed 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).We will demonstrate that the shape of the bounds differs greatly as the modulation order changes.