Compressive sensing for ultrasound RF echoes using a-Stable Distributions

@article{Achim2010CompressiveSF,
  title={Compressive sensing for ultrasound RF echoes using a-Stable Distributions},
  author={Alin Achim and Benjamin Buxton and George Tzagkarakis and Panagiotis Tsakalides},
  journal={2010 Annual International Conference of the IEEE Engineering in Medicine and Biology},
  year={2010},
  pages={4304-4307}
}
This paper introduces a novel framework for compressive sensing of biomedical ultrasonic signals based on modelling data with stable distributions. We propose an approach to ℓp norm minimisation that employs the iteratively reweighted least squares (IRLS) algorithm but in which the parameter p is judiciously chosen by relating it to the characteristic exponent of the underlying alpha-stable distributed data. Our results show that the proposed algorithm, which we prefer to call S±S-IRLS… CONTINUE READING
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