Investigation of E-Capacity for Biometric Identification Protocol with Random Parameter
Keywords:
Biometric identification system, identification capacity, E-capacity bounds, error exponents, channel with random parameterAbstract
In recent years biometrics is widely used in different tasks in the field of security. In this paper we investigated the biometric identification system from an information theoretical point of view. We investigate the exponentially high reliability criterion in biometric identification systems. The biometric identification system with random parameter is considered, which is more realistic for application. The lower and upper bounds of identification E-capacity of the model with random parameter for maximal and average error probabilities are constructed. When E → 0 we derive the corresponding bounds of the capacity of the biometric identification system with random parameter, which coincide and hence, as a corollary we obtain the identification capacity for this model.
References
F. Willems , T. Kalker, J. Goseling, and J.-P. Linnartz, “On the capacity of a biometrical identification system", International Symposium on Information Theory, Yokohama, Japan, p. 82, 2003.
S. Pankanti, R. M. Bolle and A. Jain, “Biometrics - The Future of Identification", IEEE Computer, vol. 33, no. 2, pp. 46-49, February, 2002.
T. Ignatenko and F. Willems, "Biometric security from an Information-Theoretical perspective", Foundations and Trends in Communications and Information Theory, vol. 7, no 2-3, pp. 135-316, 2012.
M.E.Haroutunian, A. Muradyan and L. Ter-Vardanyan, "Upper and lower bounds of biometric identification E-capacity", Transactions of IIAP of NAS of R A, Mathematical Problems of Computer Science, V 36, pp.1-10, 2012.
C. E. Shannon "Channel with side information at the transmitter.", IBM Res. Developm., 1958. V. 2. No. 4. P. 289-293.
S. I.Gelfand, M. S. Pinsker" Coding for channel with random parameters." ,Problems of Control and Information Theory, 1980. V.8. No. 1. P. 19-31.
R. F. Ahlswede, "Arbitrarily varying channels with states sequence known to the sender.", IEEE Transactions on Information Theory, 1986. V. 32. No. 5. P. 621-629.
M.E. Haroutunian, “The bounds for E-capacity of channel with random parameter.", Problems of Information Transmission, vol. 27, no. 1, pp. 14-23, 1991.
E. A. Haroutunian, M. E. Haroutunian and A. N. Harutyunyan, "Reliability criteria in information theory and in statistical hypothesis testing", Foundations and Trends in Communications and Information Theory, vol. 4, no 2-3, pp. 97-263, 2008.
M. E. Haroutunian, “Estimates of E-capacity and capacity regions for multiple-access channel with random parameter", Lecture Notes in Computer Science, vol. 4123, Springer Verlag, pp. 196-217, 2006.
E. A. Haroutunian, "On bounds for E-capacity of DMC" ,IEEE Transactions on Information Theory, V 53, N 11, pp. 4210-4220, 2007.
M. E. Haroutunian, S. A. Tonoyan, “Random coding bound of information hiding E-capacity", Proc. of IEEE International Symposium on Information Theory, p. 536, USA, Chicago, 2004.
T. M. Cover and J. A. Thomas, Elements of Information Theory, Wiley, New York, 1991.
I. Csiszár and J. Körner, Information Theory: Coding Theorems for Discrete Memoryless Systems, Academic Press, New York, 1981.
I. Csiszár, “The method of types ", IEEE Transactions on Information Theory, vol. 44, no. 6, pp. 2505-2523, 1998.
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
