Accession Number : AD0714007

Title :   On the Interrelationships Between a Wave Function Representation and a Formant Model of Speech,

Corporate Author : SPEECH COMMUNICATIONS RESEARCH LAB INC SANTA BARBARA CALIF

Personal Author(s) : Markel,John D.

Report Date : MAY 1970

Pagination or Media Count : 273

Abstract : A detailed study was made of the wave function representation of (voiced) speech developed by G. J. Culler. Four major topics are considered: (1) mathematical preoperties of the Culler formulation, (2) acoustic models of the vocal tract, (3) digital simulation of a particular vocal tract model and of a wave function analyzer/synthesizer, and (4) relations between the parameters of a wave function representation and those of the vocal tract model. Exact time and frequency domain solutions to the Culler formulation are obtained. From these an asymptotic solution of closed form is obtained which leads to a new type of wave function representation, the Gaussian cosine modulation (GCM) formulation. Algorithms are then developed for representing filtered speech using the parameters of the GCM formulation. It is shown that the GCM analyzer behaves essentially identically to the Culler analyzer. Finally, in order to better understand how the wave function parameters relate to the formant parameters, mappings are developed between the wave function parameters and estimates of the formant parameters. It is shown that for either wide or narrow formant separations, reasonably accurate estimations of formant frequencies and bandwidths can be made. It is hoped that the detailed discussion and documentation of the algorithms will assist an informed evaluation of the appropriateness of the approach for various applied problems in speech processing. (Author)

Descriptors :   (*SPEECH REPRESENTATION, WAVE FUNCTIONS), (*PHONETICS, SIMULATION), ANALYSIS, SYNTHESIS, SPEECH, VERBAL BEHAVIOR, PHYSIOLOGY, THESES

Subject Categories : Non-radio Communications

Distribution Statement : APPROVED FOR PUBLIC RELEASE