SNR Estimation for Multilevel Constellations Using Higher-Order Moments

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The performance of existing moments-based Non-Data-Aided (NDA) estimators of Signal-to-Noise Ratio (SNR) in digital communication systems substantially degrades with multilevel constellations. The authors 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 look-up tables. The weights of the linear combination can be tuned according to the constellation and the SNR operation range. As particular case they develop an Eighth-Order Statistics (EOS) based estimator, showing in detail the statistical analysis that leads to the weight optimization procedure.