Two-voice fundamental frequency estimation

Abstract

An algorithm is presented that estimates the fundamental frequencies of two concurrent voices or instruments. The algorithm models each voice as a periodic function of time, and jointly estimates both periods by cancellation according to a previously proposed method [de Cheveigné and Kawahara, Speech Commun. 27, 175–185 (1999)]. The new algorithm improves on the old in several respects; it allows an unrestricted search range, effectively avoids harmonic and subharmonic errors, is more accurate (it uses two-dimensional parabolic interpolation), and is computationally less costly. It remains subject to unavoidable errors when periods are in certain simple ratios and the task is inherently ambiguous. The algorithm is evaluated on a small database including speech, singing voice, and instrumental sounds. It can be extended in several ways; to decide the number of voices, to handle amplitude variations, and to estimate more than two voices (at the expense of increased processing cost and decreased reliability). It makes no use of instrument models, learned or otherwise, although it could usefully be combined with such models. [Work supported by the Cognitique programme of the French Ministry of Research and Technology.]