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A Construction Algorithm of Measurement Matrix with Low Coherence for Compressed Sensing

  • Shengqin BianEmail author
  • Zhengguang Xu
  • Shuang Zhang
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 634)

Abstract

In order to improve the accuracy and range for application of signal reconstruction, a new measurement matrix optimization method is proposed based on the Gram matrix. The new method can reduce the mutual coherence between the measurement matrix and the sparse transform matrix. Numerical experiments verify the success of the optimized method. Compared with the original Gaussian random matrix and other optimized measurement matrices, the performance and stability of our proposed have a slight increase.

Keywords

Compressive sensing (CS) Signal reconstruction Gram matrix Mutual coherence Measurement matrix 

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Copyright information

© Springer Science+Business Media Singapore 2016

Authors and Affiliations

  1. 1.School of Automation and Electrical EngineeringUniversity of Science and Technology BeijingBeijingChina

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