The Vector Poisson Channel: On the Linearity of the Conditional Mean Estimator

@article{Dytso2020TheVP,
  title={The Vector Poisson Channel: On the Linearity of the Conditional Mean Estimator},
  author={Alex Dytso and Michael Fauss and H. Poor},
  journal={IEEE Transactions on Signal Processing},
  year={2020},
  volume={68},
  pages={5894-5903}
}
  • Alex Dytso, Michael Fauss, H. Poor
  • Published 2020
  • Mathematics, Computer Science, Engineering
  • IEEE Transactions on Signal Processing
  • This work studies properties of the conditional mean estimator in vector Poisson noise. The main emphasis is to study conditions on prior distributions that induce linearity of the conditional mean estimator. The paper consists of two main results. The first result shows that the only distribution that induces the linearity of the conditional mean estimator is a product gamma distribution. Moreover, it is shown that the conditional mean estimator cannot be linear when the dark current parameter… CONTINUE READING
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