SNR estimation for multilevel constellations using higher-order moments

Authors:
Marcos Álvarez-Díaz;Roberto López-Valcarce;Carlos Mosquera
Affiliations:
Department of Signal Theory and Communications, University of Vigo, Vigo, Spain;Department of Signal Theory and Communications, University of Vigo, Vigo, Spain;Department of Signal Theory and Communications, University of Vigo, Vigo, Spain
Venue:
IEEE Transactions on Signal Processing
Year:
2010

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Abstract

The performance of existing moments-based nondata-aided (NDA) estimators of signal-to-noise ratio (SNR) in digital communication systems substantially degrades with multilevel constellations. We propose a novel moments-based approach that is amenable to practical implementation and significantly improves on previous estimators of this class. This approach is based on a linear combination of ratios of certain even-order moments, which allow the derivation of NDA SNR estimators without requiring memory-costly lookup tables. The weights of the linear combination can be tuned according to the constellation and the SNR operation range. As particular case we develop an eighth-order statistics (EOS)-based estimator, showing in detail the statistical analysis that leads to the weight optimization procedure. The EOS-based estimators yield improved performance for multilevel constellations, especially for those with two and three amplitude levels. Monte Carlo simulations validate the new approach in a wide SNR range.