Cramér-rao bound for NDA DOA estimates of square QAM-modulated signals

Authors:
Faouzi Bellili;Sonia Ben Hassen;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 3
Cited 0

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

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Cramer-Rao bounds of DOA estimates for BPSK and QPSK Modulated signals

IEEE Transactions on Signal Processing

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Abstract

This paper adresses the stochastic Cramér-Rao lower bound (CRLB) for the non-data-aided (NDA) direction of arrival (DOA) estimation of square quadrature amplitude (QAM)-modulated signals when the transmitted symbols are supposed to be completely unknown to the receiver. These signals are assumed to be corrupted by additive white circular complex Gaussian noise (AWCCGN). The channel is supposed to be slowly time-varying so that it can be assumed constant over the observation interval. The main contribution of this paper consists in deriving an explicit expression for the Fisher information matrix (FIM) in the case of a single square QAMmo-dulated waveform and an analytical expression for the stochastic CRLB of the NDA DOA estimates. It will be shown that the achievable performance on the DOA estimates hold almost the same irrespectively of the modulation order.