Statistical model and error analysis of a proposed audio fingerprinting algorithm

E. P. McCarthy; F. Balado; G. C. M. Silvestre; N. J. Hurley

doi:10.1117/12.643090

Abstract

In this paper we present a statistical analysis of a particular audio fingerprinting method proposed by Haitsma et al.¹ Due to the excellent robustness and synchronisation properties of this particular fingerprinting method, we would like to examine its performance for varying values of the parameters involved in the computation and ascertain its capabilities. For this reason, we pursue a statistical model of the fingerprint (also known as a hash, message digest or label). Initially we follow the work of a previous attempt made by Doets and Lagendijk^2-4 to obtain such a statistical model. By reformulating the representation of the fingerprint as a quadratic form, we present a model in which the parameters derived by Doets and Lagendijk may be obtained more easily. Furthermore, our model allows further insight into certain aspects of the behaviour of the fingerprinting algorithm not previously examined. Using our model, we then analyse the probability of error (P_e) of the hash. We identify two particular error scenarios and obtain an expression for the probability of error in each case. We present three methods of varying accuracy to approximate P_e following Gaussian noise addition to the signal of interest. We then analyse the probability of error following desynchronisation of the signal at the input of the hashing system and provide an approximation to P_e for different parameters of the algorithm under varying degrees of desynchronisation.

Citation Download Citation

E. P. McCarthy, E. P. McCarthy, F. Balado, F. Balado, G. C. M. Silvestre, G. C. M. Silvestre, N. J. Hurley, N. J. Hurley, } "Statistical model and error analysis of a proposed audio fingerprinting algorithm", Proc. SPIE 6073, Multimedia Content Analysis, Management, and Retrieval 2006, 607305 (16 January 2006); doi: 10.1117/12.643090; https://doi.org/10.1117/12.643090

ACCESS THE FULL ARTICLE

PERSONAL SIGN IN
Full access may be available with your subscription

Email or Username Forgot your username?

Password Forgot your password?

Show

Remember Email/Username on this computer

Remember Password

No SPIE account? Create an account
or Institutional Sign In via Shibboleth

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $14.40

Non-members: $18.00 ADD TO CART

Show All Keywords

Keywords/Phrases

Search In:

Publication Years