1970/07/08 by B. Gopinath, M. M. Sondhi · 2 citations
Computer Science · #Music Technology and Sound Studies #Speech Recognition and Synthesis #Speech and Audio Processing
paper · doi:10.1002/j.1538-7305.1970.tb01820.x
crossref issued 1970/07/08 · crossref published 1970/07/08 · crossref published-print 1970/07/08 · openalex publication_date 1970/07/08 · crossref published-online 2013/07/29 · crossref created 2013/07/29 · crossref deposited 2020/10/14 · openalex created_date 2025/10/10 · crossref indexed 2026/07/29 · openalex updated_date 2026/07/30
In this paper we describe methods for determining the cross-sectional area function of the human vocal tract from acoustical measurements made at one end. The pressure and volume velocity are assumed to obey Webster's horn equation, which is valid for frequencies below 3.5 kHz. Acoustical properties below 3.5 kHz do not uniquely specify the area function. This paper shows how high frequency information may be incorporated into the mathematical model in a manner consistent with a priori information about the vocal tract. Some results of application of the methods by computer simulation are presented. It is interesting to see from the figures that nine numbers (namely, length, four formants, and four residues) specify the area function quite well for practical purposes.