L1-norm minimization for quaternion signals

نویسندگان

  • Jiasong Wu
  • Xu Zhang
  • Xiaoqing Wang
  • Lotfi Senhadji
  • Huazhong Shu
چکیده

—The l 1-norm minimization problem plays an important role in the compressed sensing (CS) theory. We present in this letter an algorithm for solving the problem of l 1 Index Terms—L-norm minimization for quaternion signals by converting it to second-order cone programming. An application example of the proposed algorithm is also given for practical guidelines of perfect recovery of quaternion signals. The proposed algorithm may find its potential application when CS theory meets the quaternion signal processing.

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عنوان ژورنال:
  • CoRR

دوره abs/1202.5471  شماره 

صفحات  -

تاریخ انتشار 2012