Fundamental Limits of Biometric Identification System Under Noisy Enrollment

Vamoua YACHONGKA  Hideki YAGI  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E104-A   No.1   pp.283-294
Publication Date: 2021/01/01
Publicized: 2020/07/14
Online ISSN: 1745-1337
DOI: 10.1587/transfun.2020EAP0001
Type of Manuscript: PAPER
Category: Information Theory
biometric identification system,  capacity region,  secrecy-leakage,  privacy-leakage,  rate,  

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In this study, we investigate fundamental trade-off among identification, secrecy, template, and privacy-leakage rates in biometric identification system. Ignatenko and Willems (2015) studied this system assuming that the channel in the enrollment process of the system is noiseless and they did not consider the template rate. In the enrollment process, however, it is highly considered that noise occurs when bio-data is scanned. In this paper, we impose a noisy channel in the enrollment process and characterize the capacity region of the rate tuples. The capacity region is proved by a novel technique via two auxiliary random variables, which has never been seen in previous studies. As special cases, the obtained result shows that the characterization reduces to the one given by Ignatenko and Willems (2015) where the enrollment channel is noiseless and there is no constraint on the template rate, and it also coincides with the result derived by Günlü and Kramer (2018) where there is only one individual.