Nonnegative Matrix Factorization Applied to Nonlinear Speech and Image Cryptosystems Xie, Shengli, Yang, Zuyuan and Fu, Yuli 2008, Nonnegative Matrix Factorization Applied to Nonlinear Speech and Image Cryptosystems, IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 55, no. 8, pp. 2356-2367, doi: 10.1109/TCSI.2008.918233. Attached Files Name Description MIMEType Size Downloads yang-nonnegativematrix-2008.pdf Published version application/pdf 2.11MB 306 Title Nonnegative Matrix Factorization Applied to Nonlinear Speech and Image Cryptosystems Author(s) Xie, Shengli Yang, Zuyuan Fu, Yuli Journal name IEEE Transactions on Circuits and Systems I: Regular Papers Volume number 55 Issue number 8 Start page 2356 End page 2367 Total pages 12 Publisher IEEE Xplore Place of publication Piscataway, New Jersey Publication date 2008 ISSN 1057-7122 Keyword(s) Nonnegative matrix factorization Blind source separation (BSS) Signal encryption Summary Nonnegative matrix factorization (NMF) is widely used in signal separation and image compression. Motivated by its successful applications, we propose a new cryptosystem based on NMF, where the nonlinear mixing (NLM) model with a strong noise is introduced for encryption and NMF is used for decryption. The security of the cryptosystem relies on following two facts: 1) the constructed multivariable nonlinear function is not invertible; 2) the process of NMF is unilateral, if the inverse matrix of the constructed linear mixing matrix is not nonnegative. Comparing with Lin's method (2006) that is a theoretical scheme using one-time padding in the cryptosystem, our cipher can be used repeatedly for the practical request, i.e., multitme padding is used in our cryptosystem. Also, there is no restriction on statistical characteristics of the ciphers and the plaintexts. Thus, more signals can be processed (successfully encrypted and decrypted), no matter they are correlative, sparse, or Gaussian. Furthermore, instead of the number of zero-crossing-based method that is often unstable in encryption and decryption, an improved method based on the kurtosis of the signals is introduced to solve permutation ambiguities in waveform reconstruction. Simulations are given to illustrate security and availability of our cryptosystem. Language eng DOI 10.1109/TCSI.2008.918233 Field of Research 080109 Pattern Recognition and Data Mining Socio Economic Objective 890205 Information Processing Services (incl. Data Entry and Capture) HERDC Research category C1.1 Refereed article in a scholarly journal Copyright notice ©2008, IEEE Free to Read? Yes Persistent URL http://hdl.handle.net/10536/DRO/DU:30059312 Document type: Journal Article Collections: Faculty of Science, Engineering and Built Environment School of Information Technology Open Access Collection Related Links Link Description Connect to published version (restricted access) Go to link with your DU access privileges     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au. Versions Version Filter Type Wed, 08 Jan 2014, 13:28:05 EST Tue, 14 Jan 2014, 13:16:10 EST Thu, 16 Jan 2014, 10:14:10 EST Tue, 11 Feb 2014, 11:30:23 EST Tue, 06 Sep 2016, 22:28:45 EST Tue, 05 Dec 2017, 12:46:13 EST Fri, 07 Sep 2018, 16:52:15 EST Filtered Full Citation counts:   Cited 18 times in TR Web of Science Cited 19 times in Scopus Search Google Scholar Access Statistics: 157 Abstract Views, 306 File Downloads  -  Detailed Statistics Created: Wed, 08 Jan 2014, 13:28:05 EST