Exact closedform expressions for the performance of the splitsymbol moments estimator of signaltonoise ratio
Abstract
Previously, the performance of the splitsymbol moments estimator (SSME) of signaltonoise ratio (SNR) has been evaluated by means of approximate expressions for the estimator mean and variance. These are asymptotic formulas in the sense that they become accurate as the number of estimator samples gets large. Here, exact closedform expressions are obtained for the same quantities. These expressions confirm the accuracy of the previously derived asymptotic results, and, unlike the asymptotic formulas, they are useful even when the number of samples is small. It is also shown that the conventional splitsymbol estimator can be trivially scaled to form a signaltonoise ratio estimator which is precisely unbiased (as long as the estimate is based on more than two splitsymbols).
 Publication:

The Telecommunications and Data Acquisition Report
 Pub Date:
 February 1990
 Bibcode:
 1990tdar.nasa..174D
 Keywords:

 Estimating;
 Signal To Noise Ratios;
 Statistical Analysis;
 Symbols;
 Algebra;
 Amount;
 Formulas (Mathematics);
 Mean;
 Random Variables;
 Communications and Radar