Optimum Training Sequences for Data-Aided Synchronization

@article{Shaw2010OptimumTS,
  title={Optimum Training Sequences for Data-Aided Synchronization},
  author={Christopher Shaw and Michael Rice},
  journal={2010 IEEE Global Telecommunications Conference GLOBECOM 2010},
  year={2010},
  pages={1-6}
}
We compute the training sequences that minimize the Cramer-Rao Bound (CRB) corresponding to the joint estimator for carrier phase, carrier frequency, and symbol timing offset. It is shown that if the symbols in a training sequence are drawn from the set of complex numbers, the resulting CRB is lower than if the symbols are drawn from a discrete set of constellation points. 

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