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Statistical relationships among F&lt;sub&gt;1&lt;/sub&gt; F&lt;sub&gt;2&lt;/sub&gt; and F&lt;sub&gt;3&lt;/sub&gt; in vowel segments in continuous speech were investigated with 909 vowel samples from Japanese sentences uttered by 4 adult male speakers. Determined by minimizing the square errors from the measured F&lt;sub&gt;3&lt;/sub&gt;, two separate planes corresponding to front and back vowels are situated in the F&lt;sub&gt;1&lt;/sub&gt;F&lt;sub&gt;2&lt;/sub&gt;F&lt;sub&gt;3&lt;/sub&gt; space to obtain the F&lt;sub&gt;3&lt;/sub&gt; values estimated from F&lt;sub&gt;1&lt;/sub&gt; and F&lt;sub&gt;2&lt;/sub&gt;. Estimation errors are found to be comparable to difference limens in hearing. Also, uniform/nonuniform formant frequency scaling is discussed in terms of physical differences in the planes for individual speakers.

Statistical Relationships among the First Three Formant Frequencies in Vowel Segments in Continuous Speech