Research on the Blocked Ordered Vandermonde Matrix Used as Measurement Matrix for Compressed Sensing

Zhao Rui-zhen; Wang Ruo-qian; Zhang Feng-zhen; Cen Yi-gang; Hu Shao-hai

doi:10.11999/JEIT140860

Volume 37 Issue 6

Jun. 2015

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Article Navigation > Journal of Electronics & Information Technology > 2015 > 37(6): 1317-1322

Zhao Rui-zhen, Wang Ruo-qian, Zhang Feng-zhen, Cen Yi-gang, Hu Shao-hai. Research on the Blocked Ordered Vandermonde Matrix Used as Measurement Matrix for Compressed Sensing[J]. Journal of Electronics & Information Technology, 2015, 37(6): 1317-1322. doi: 10.11999/JEIT140860

Citation:

Zhao Rui-zhen, Wang Ruo-qian, Zhang Feng-zhen, Cen Yi-gang, Hu Shao-hai. Research on the Blocked Ordered Vandermonde Matrix Used as Measurement Matrix for Compressed Sensing[J]. Journal of Electronics & Information Technology, 2015, 37(6): 1317-1322. doi: 10.11999/JEIT140860

Citation:

Zhao Rui-zhen, Wang Ruo-qian, Zhang Feng-zhen, Cen Yi-gang, Hu Shao-hai. Research on the Blocked Ordered Vandermonde Matrix Used as Measurement Matrix for Compressed Sensing[J]. Journal of Electronics & Information Technology, 2015, 37(6): 1317-1322. doi: 10.11999/JEIT140860

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Research on the Blocked Ordered Vandermonde Matrix Used as Measurement Matrix for Compressed Sensing

doi: 10.11999/JEIT140860 cstr: 32379.14.JEIT140860

Received Date: 2014-06-30
Rev Recd Date: 2015-03-03
Publish Date: 2015-06-19

Abstract

Abstract

The measurement matrix is an important part of Compressed Sensing (CS). Although the deterministic matrix is easy to implement by the hardware, it performs not so well as a random matrix in the signal reconstruction. To solve this problem, a new deterministic measurement matrix which is called as the blocked ordered Vandermonde matrix is proposed. The blocked ordered Vandermonde matrix is constructed on the basis of the Vandermonde matrix, whose the vectors are linearly independent. Then the block operation is taken and its elements are sorted. The proposed new measurement matrix realizes the non-uniform sampling in the time domain and is specifically suitable for the natural images whose the dimension is usually high. The simulation results show that the proposed matrix is much superior to the Gaussian matrix in the image construction, and can be used in practice.
- Compressed Sensing (CS),
- Measurement matrix,
- Linear independence,
- Non-uniform sampling,
- Vandermonde matrix

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References(21)

References

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