Hidden Markov Models for Heart Rate Variability with Biometric Applications

Abstract

OF THE THESIS Hidden Markov Models for Heart Rate Variability with Biometric Applications by Michael R. Walker II Master of Science in Electrical Engineering Washington University in St. Louis, May 2011 Research Advisor: Dr. Joseph A. O’Sullivan The utility of hidden Markov models (HMM) for modeling individual heart rate variability (HRV) is presented. Starting with a physiologically based statistical model for HRV from the literature, we justify use of HMMs and present methods for parameterizing the model. The forward-backward algorithm and expectation-maximization algorithm are used to estimate the model and the hidden states for a given observation sequence of inter-beat intervals. Multiple initialization techniques are presented to avoid local maxima. Model order is determined from the data sequence using the Bayesian information criterion. Models are trained on twelve hour recordings. The models are then used to discriminate the identity of an individual using data from a separate set of testing data. For database from 52 individuals, true identity was verified with an equal error rate of roughly 0.36. While initial results do not demonstrate strong performance as a biometric, HMMs are able to capture some individuality in the HRV signal. Consistency in HRV over twelve hour time scales is also demonstrated.