Stable and robust $\ell_p$-constrained compressive sensing recovery via robust width property

نویسندگان

  • Zhiyong Zhou
  • Jun Yu
چکیده

We study the recovery results of lp-constrained compressive sensing (CS) with p ≥ 1 via robust width property and determine conditions on the number of measurements for standard Gaussian matrices under which the property holds with high probability. Our paper extends the existing results in Cahill and Mixon (2014) from l2-constrained CS to lp-constrained case with p ≥ 1 and complements the recovery analysis for robust CS with lp loss function.

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عنوان ژورنال:
  • CoRR

دوره abs/1705.03810  شماره 

صفحات  -

تاریخ انتشار 2017