Performance Analysis of Robust Audio Hashing

We present a novel theoretical analysis of the Philips audio fingerprinting method proposed by Haitsma, Kalker, and Oostveen (2001). Although this robust hashing algorithm exhibits very good performance, the method has only been partially analyzed in the literature. Hence, there is a clear need for a more complete analysis which allows both performance prediction and systematic optimization. We examine here the theoretical performance of the method for Gaussian inputs by means of a statistical model. Our analysis relies on formulating the unquantized fingerprint as a quadratic form, which affords a systematic way to compute the model parameters. We provide closed-form analytical upperbounds for the probability of bit error of the hash for two relevant scenarios: noise addition and desynchronization. We show that these results are useful when applied to real audio signals