| Xie Cheng-jun,Xu Lin.Design and realization of random measurement scheme for compressed sensing[J].Optoelectronics Letters,2012,8(1):60-62 |
| Design and realization of random measurement scheme for compressed sensing |
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| Abstract: |
| Design and realization of random measurement scheme for compressed sensing (CS) are presented in this paper, and lower limits
of the measurement number are achieved when the precise reconstruction is realized. Four kinds of random measurement matrices
are designed according to the constraint conditions of random measurement. The performance is tested employing the algorithm
of stagewise orthogonal matching pursuit (StOMP). Results of the experiment show that lower limits of the measurement number
are much better than the results described in Refs.[13–15]. When the ratios of measurement to sparsity are 3.8 and 4.0, the
mean relative errors of the reconstructed signals are 8.57 × 10−13 and 2.43 × 10−14, respectively, which confirms that the random measurement scheme of this paper is very effective. |
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| This work has been supported by the National Natural Science Foundation of China (Nos.61072111 and 60672156), and the Project of Science and |
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