Nonnegative signal reconstruction from compressive samples via a difference map ECME algorithm

@article{Qiu2011NonnegativeSR,
  title={Nonnegative signal reconstruction from compressive samples via a difference map ECME algorithm},
  author={Kun Qiu and Aleksandar Dogandzic},
  journal={2011 IEEE Statistical Signal Processing Workshop (SSP)},
  year={2011},
  pages={561-564}
}
We develop an approximate maximum likelihood (ML) scheme for reconstructing nonnegative sparse signals from compressive samples. The measurements follow an underde-termined linear model, where the regression vector is modeled as the sum of an unknown deterministic nonnegative signal with sparse transform coefficients and a zero-mean white Gaussian component with an unknown variance. We first derive an expectation-conditional maximization either (ECME) algorithm that aims at maximizing the… CONTINUE READING