部分支集已知的信号恢复

稀疏信号恢复是压缩感知的主要研究问题, 目前已经取得了非常丰富的成果. 而在实际应用中,往往有一些先验信息可以利用, 以提高恢复的效率, 减少测量次数. 本文主要讨论部分支集已知的稀疏或可压缩信号恢复问题, 提出了一个松弛零空间条件并且改进了保证信号稳定恢复的限制等距常数界.

Signal recovery with partially known signal support

This paper studies the recovery of sparse or compressible signals from a certain number of linear measurements when the signal support is partially known.The reconstruction method is based on a convex minimization which minimize the l 1 norm of the signal over the complement of the known part.We propose a relaxed null space condition and give a new bound via restricted isometry constant to guarantee the signal to be recovered stably.