Multimedia Tools and Applications

, Volume 78, Issue 5, pp 5969–5988 | Cite as

An audio encryption based on synchronization of robust BAM FCNNs with time delays

  • M. Kalpana
  • K. RatnaveluEmail author
  • P. Balasubramaniam


In this work, authors’ proposed an audio encryption based on synchronization of hybrid bidirectional associative memory (BAM) and fuzzy cellular neural networks (FCNNs) with time delays. Here, the significant effort is to find the values of the parameters \(A,\ B,\ D,\ \alpha ,\ \beta ,\ \tilde {A},\ \tilde {B},\ \tilde {D},\ \tilde {\alpha },\ \tilde {\beta },\ L,\ \tilde {L},\) \(O_{d}, \ \tilde {O}_{d},\ O_{a}, \ \tilde {O}_{a},\ O_{b}, \ \tilde {O}_{b},\) of the given robust BAM FCNNs system to obtain the dynamical signal (chaotic) which are used to encrypt an audio file and satisfy the condition of Linear matrix inequality (LMI) by choosing suitable Lyapunov-Krasovskii functional (LKF). Further, the key sensitivity of order \(10^{-10}\) of this proposed method have massive key space to make brute-force attack infeasible. Numerical simulations, results and discussions along with comparison are provided to illustrate the effectiveness and merits of the proposed scheme.


Bidirectional associative memory Chaos Encryption Fuzzy cellular neural networks Linear matrix inequality 



This work was supported by the Fundamental Research Grant Scheme (FRGS) MoHE Grant No. FP051-2016. Dr. M. Kalpana is working as a Post-Doctoral Research Fellow at the University of Malaya.


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Institute of Mathematical Sciences, Faculty of ScienceUniversity of MalayaKuala LumpurMalaysia
  2. 2.Department of Mathematics, Gandhigram Rural InstituteDeemed UniversityGandhigramIndia

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