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Proceedings Paper

Block Hadamard measurement matrix with arbitrary dimension in compressed sensing
Author(s): Shaoqiang Liu; Xiaoyan Yan; Xiaoping Fan; Fei Li; Wen Xu
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Paper Abstract

As Hadamard measurement matrix cannot be used for compressing signals with dimension of a non-integral power-of-2, this paper proposes a construction method of block Hadamard measurement matrix with arbitrary dimension. According to the dimension N of signals to be measured, firstly, construct a set of Hadamard sub matrixes with different dimensions and make the sum of these dimensions equals to N. Then, arrange the Hadamard sub matrixes in a certain order to form a block diagonal matrix. Finally, take the former M rows of the block diagonal matrix as the measurement matrix. The proposed measurement matrix which retains the orthogonality of Hadamard matrix and sparsity of block diagonal matrix has highly sparse structure, simple hardware implements and general applicability. Simulation results show that the performance of our measurement matrix is better than Gaussian matrix, Logistic chaotic matrix, and Toeplitz matrix.

Paper Details

Date Published: 23 January 2017
PDF: 7 pages
Proc. SPIE 10322, Seventh International Conference on Electronics and Information Engineering, 1032230 (23 January 2017); doi: 10.1117/12.2265234
Show Author Affiliations
Shaoqiang Liu, Central South Univ. (China)
Xiaoyan Yan, Central South Univ. (China)
Xiaoping Fan, Central South Univ. (China)
Fei Li, Central South Univ. (China)
Wen Xu, Central South Univ. (China)

Published in SPIE Proceedings Vol. 10322:
Seventh International Conference on Electronics and Information Engineering
Xiyuan Chen, Editor(s)

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