On the minimum mean p-th error in Gaussian noise channels and its applications

@article{Dytso2016OnTM,
  title={On the minimum mean p-th error in Gaussian noise channels and its applications},
  author={Alex Dytso and R. Bustin and Daniela Tuninetti and N. Devroye and H. Poor and S. Shamai},
  journal={2016 IEEE International Symposium on Information Theory (ISIT)},
  year={2016},
  pages={1646-1650}
}
  • Alex Dytso, R. Bustin, +3 authors S. Shamai
  • Published 2016
  • Mathematics, Computer Science
  • 2016 IEEE International Symposium on Information Theory (ISIT)
The problem of estimating an arbitrary random variable from its observation corrupted by additive white Gaussian noise, where the cost function is taken to be the minimum mean p-th error (MMPE), is considered. The classical minimum mean square error (MMSE) is a special case of the MMPE. Several bounds and properties of the MMPE are derived and discussed. As applications of the new MMPE bounds, this paper presents: (a) a new upper bound for the MMSE that complements the `single-crossing point… Expand
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