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在发现基音素[o]及其基本性质的基础上,我们建立了语言音素坐标系CSOLP(请见黄小干等,2012)。该坐标系为言语自然发音过程提供了一个定量与动态研究的数学平台。众所周知,当代语音学奠基人Daniel Jones(1881-1967)创立的标准元音图是目前IPA元音系统的基础。由于Daniel基本元音图的创立基础是4个孤立的极限定位音,因此建立在这一基础上且被直线化成方形网状结构的IPA元音系统对言语音素的研究至今只能是定性及静态的。本文尝试把具有定量性质的Daniel四个极限定位元音放入音素坐标系中,以基音位/o/为参照点确定其坐标值,在这个基础上创建一个D-IPA元音系统,然后为该系统建立数学模型,从而为以国际音标标注的语言音素的定量与动态研究提供一条可行的途径。作为音素研究数学建模的实际应用范例,本文尝试在D-IPA元音系统音素坐标系中为汉语复韵母系统建立数学模型并示范其在复韵母自然发音过程定量与动态分析中的应用。
Based on the discovery of the phoneticin [o] and its basic properties, we have established the language phoneme coordinate system CSOLP (see Huang et al., 2012). The coordinate system provides a mathematical platform for quantitative and dynamic study of natural speech process of speech. It is well known that the standard vowel diagram created by Daniel Jones (1881-1967), the founder of contemporary phonetics, is the basis of the current IPA vowel system. Since Daniel’s basic vowel graph was created based on four isolated extreme positioning tones, the research on speech phonemes of IPA vowel systems based on this basis and linearized into square meshes has so far been able to be qualitative and static of. In this paper, we try to put Daniel’s four extreme positioning vowels with quantitative properties into the phoneme coordinate system, and determine the coordinate values from the pitch / o / point of reference, and then create a D-IPA vowel system based on that The system establishes a mathematical model, which provides a feasible way for the quantitative and dynamic study of phonetic symbols marked by IPA. As a practical example of mathematic modeling of phoneme, this paper attempts to establish a mathematical model for the Chinese compound vowel system in the phoneme coordinate system of D-IPA vowel system and demonstrate its application in the quantitative and dynamic analysis of compound natural vowels.