On the Performance of Compressed Sensing with Partially Correct Support

  • Authors:
  • Wenbo Xu;Jiaru Lin;Kai Niu;Zhiqiang He

  • Affiliations:
  • Key Lab of Universal Wireless Communications, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China 100876;Key Lab of Universal Wireless Communications, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China 100876;Key Lab of Universal Wireless Communications, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China 100876;Key Lab of Universal Wireless Communications, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China 100876

  • Venue:
  • Wireless Personal Communications: An International Journal
  • Year:
  • 2013

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Abstract

In compressed sensing, many practical recovery algorithms perform linear reconstruction of the nonzero entries of the sparse signal after deriving the underlying support. When this support is partially correct, we develop the mean square error of the reconstructed signals. The exactness of the analytical results is verified by simulations.