31,806 research outputs found
One-Bit Compressed Sensing by Greedy Algorithms
Sign truncated matching pursuit (STrMP) algorithm is presented in this paper.
STrMP is a new greedy algorithm for the recovery of sparse signals from the
sign measurement, which combines the principle of consistent reconstruction
with orthogonal matching pursuit (OMP). The main part of STrMP is as concise as
OMP and hence STrMP is simple to implement. In contrast to previous greedy
algorithms for one-bit compressed sensing, STrMP only need to solve a convex
and unconstraint subproblem at each iteration. Numerical experiments show that
STrMP is fast and accurate for one-bit compressed sensing compared with other
algorithms.Comment: 16 pages, 7 figure
A mathematical form of force-free magnetosphere equation around Kerr black holes and its application to Meissner effect
Based on the Lagrangian of the steady axisymmetric force-free magnetosphere
(FFM) equation around Kerr black holes(KBHs), we find that the FFM equation can
be rewritten in a new form as , where . By coordinate
transformation, the form of the above equation can be given by . Based on the form, we prove finally that the
Meissner effect is not possessed by a KBH-FFM with the condition where
and , here is the component of the vector potential ,
is the angular velocity of magnetic fields and
corresponds to twice the poloidal electric current
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