caa a22 4500 606205659 CHVBK 20210128101008.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s00034-014-9873-7 doi (NATIONALLICENCE)springer-10.1007/s00034-014-9873-7 Deterministic Construction of Toeplitzed Structurally Chaotic Matrix for Compressed Sensing [Elektronische Daten] [Li Zeng, Xiongwei Zhang, Liang Chen, Tieyong Cao, Jibin Yang] The construction of sensing matrix is a fundamental issue in compressed sensing (CS). This paper introduces a new deterministic construction, referred to as Toeplitzed structurally chaotic matrix (TSCM), which possesses the advantages of both random and structural sensing matrices. We derive the matrix by first multiplying an orthonormal matrix with a chaotic-based Toeplitz matrix, and then subsampling the resultant matrix to obtain the structural one. Theoretically, we show that the entries of the TSCM are asymptotically normally distributed with that of arbitrary sparsifying matrices, yielding low mutual coherence that guarantees faithful recovery. Moreover, the proposed scheme is implementation friendly and hardware efficient, since its entries have almost no randomness and are easy to generate. Extensive numerical results via Matlab suggest that the TSCM outperforms the state-of-the-art matrix schemes and demonstrate its promising potentials. Springer Science+Business Media New York, 2014 Compressed sensing nationallicence Deterministic sensing matrix nationallicence Incoherent sampling nationallicence Restricted isometry property nationallicence Mutual coherence nationallicence Asymptotical normal distribution nationallicence Zeng Li College of Command Information Systems, PLA University of Science and Technology, Nanjing, China aut Zhang Xiongwei College of Command Information Systems, PLA University of Science and Technology, Nanjing, China aut Chen Liang College of Communications Engineering, PLA University of Science and Technology, Nanjing, China aut Cao Tieyong College of Command Information Systems, PLA University of Science and Technology, Nanjing, China aut Yang Jibin College of Command Information Systems, PLA University of Science and Technology, Nanjing, China aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/3(2015-03-01), 797-813 0278-081X 34:3<797 2015 34 34 https://doi.org/10.1007/s00034-014-9873-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00034-014-9873-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zeng Li College of Command Information Systems, PLA University of Science and Technology, Nanjing, China aut NATIONALLICENCE 700 1- Zhang Xiongwei College of Command Information Systems, PLA University of Science and Technology, Nanjing, China aut NATIONALLICENCE 700 1- Chen Liang College of Communications Engineering, PLA University of Science and Technology, Nanjing, China aut NATIONALLICENCE 700 1- Cao Tieyong College of Command Information Systems, PLA University of Science and Technology, Nanjing, China aut NATIONALLICENCE 700 1- Yang Jibin College of Command Information Systems, PLA University of Science and Technology, Nanjing, China aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/3(2015-03-01), 797-813 0278-081X 34:3<797 2015 34 34