# Variance-stabilization-based compressive inversion under Poisson or Poisson–Gaussian noise with analytical bounds

@article{Bohra2019VariancestabilizationbasedCI, title={Variance-stabilization-based compressive inversion under Poisson or Poisson–Gaussian noise with analytical bounds}, author={Pakshal Bohra and Deepak Garg and Karthik S. Gurumoorthy and Ajit V. Rajwade}, journal={Inverse Problems}, year={2019}, volume={35} }

Most existing bounds for signal reconstruction from compressive measurements make the assumption of additive signal-independent noise. However in many compressive imaging systems, the noise statistics are more accurately represented by Poisson or Poisson–Gaussian noise models. In this paper, we derive upper bounds for signal reconstruction error from compressive measurements which are corrupted by Poisson or Poisson–Gaussian noise. The features of our bounds are as follows: (1) the bounds are…

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