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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Bibliographic Details
Published in:IEEE transactions on communications 2010-11, Vol.58 (11), p.3211-3218
Main Authors: Bellili, F, Stephenne, A, Affes, S
Format: Article
Language:English
Subjects:
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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Summary: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