Cramer-Rao Lower Bounds for NDA SNR Estimates of Square QAM Modulated Transmissions

In this paper, we derive for the first time analytical expressions for the exact Cramér-Rao lower bounds on the variance of unbiased non-data-aided (NDA) signal-to-noise ratio (SNR) estimators of square QAM-modulated signals. The channel is assumed to be constant over the observation interval and t...

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Veröffentlicht in:	IEEE transactions on communications 2010-11, Vol.58 (11), p.3211-3218
Hauptverfasser:	Bellili, F, Stephenne, A, Affes, S
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Binary phase shift keying Channels Cramer-Rao lower bounds Detection, estimation, filtering, equalization, prediction Estimation Estimators Exact sciences and technology Exact solutions Gaussian Information, signal and communications theory Lower bounds Mathematical analysis Modulation Modulation, demodulation non-data-aided estimation QAM signals Quadrature amplitude modulation Signal and communications theory Signal to noise ratio Signal, noise SNR estimation Systems, networks and services of telecommunications Telecommunications Telecommunications and information theory Transmission and modulation (techniques and equipments)
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Beschreibung
Zusammenfassung:	In this paper, we derive for the first time analytical expressions for the exact Cramér-Rao lower bounds on the variance of unbiased non-data-aided (NDA) signal-to-noise ratio (SNR) estimators of square QAM-modulated signals. The channel is assumed to be constant over the observation interval and the received signal is supposed to be corrupted by additive white Gaussian noise (AWGN). The derived expressions corroborate previous attempts to numerically compute the considered CRLBs. It will be shown that the NDA CRLBs differ widely from one modulation order to another especially at moderate SNR levels.
ISSN:	0090-6778 1558-0857
DOI:	10.1109/TCOMM.2010.093010.080568