Neural Processing Letters

, Volume 50, Issue 3, pp 2925–2944 | Cite as

Double-Key Secure for N-1-N Sound Record Data (SRD) by the Drive-Response of BAM NNs

  • M. Kalpana
  • K. RatnaveluEmail author
  • P. Balasubramaniam
  • W. A. M. Othman


In this work, the problem of N sound record data (audio) encryption based on double-key secure is proposed. The first key is the math tricks to cumulate N audio files in a single file. The second key is the values of the parameters \(A,\ B,\ D,\ \tilde{A},\ \tilde{B},\ \tilde{D},\) of the constructed drive-response bidirectional associative memory neural networks to be found by suitable Lyapunov–Krasovskii functional and satisfying the linear matrix inequality to obtain the dynamical signal (irregular), which are used to encrypt an audio file. Further, the key sensitivity of \(1e-10\) of the proposed method are large adequate key space to make hacker’s attack infeasible. Numerical simulations, cryptanalysis of the proposed scheme are provided to show the best performance.


Bidirectional associative memory Dynamical signal Neural networks Secure Sound record data 

Mathematics Subject Classification

92B20 37B55 34D06 68P25 



This effort was assisted by the University of Malaya, Frontier Research Grant 2017, Grant No. FG037-17AFR. Dr. M. Kalpana is working as a Post-Doctoral Research Fellow at University of Malaya.


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • M. Kalpana
    • 1
  • K. Ratnavelu
    • 1
    • 2
    Email author
  • P. Balasubramaniam
    • 3
  • W. A. M. Othman
    • 1
  1. 1.Institute of Mathematical Sciences, Faculty of ScienceUniversity of MalayaKuala LumpurMalaysia
  2. 2.Institute for Mathematical ResearchUniversiti Putra MalaysiaSerdangMalaysia
  3. 3.Department of MathematicsThe Gandhigram Rural Institute (Deemed to be University)GandhigramIndia

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