This research investigated the structure of the speech Fundamental Frequency (F0). The principal objective of this study was to create an improved method for analyzing, understanding, and plotting the F0 values of spoken words. The F0 is created by a variety of models that produce the F0 values for plotting. These F0 values are a represented average of the lower range frequency of sound.
All speech is composed of combined individual sound waves that gives speech its particular qualities. Vowel space measurements are usually plotted in charts in which the second formant is plotted against the first formant. For this investigation, the formant values are taken from a computer program that employs a Fourier methodology to analyse the sound signal. This paper presents information about an improved method for vowel space depiction that was created by employing the mathematical integration of formant data. This model produces a more reliable mathematical model the vowel space. Each vowel formant can be represented by an algebraic equation.
Every physical event that can be observed can be measured and described, including sounds. This paper discusses computer algorithms that were developed to depict vowels and speech sounds in their three dimensions: frequency, energy, and time. Each vowel has a separate distinguishable shape based on its dimensions. Two-dimensional vowel plots can be more accurately represented in three-dimensional plots. Algorithms using the Chebyshev Transform were written and vowel speech signals were converted to accurate numerical data sets that were examined and then plotted. Comparisons of vowels can be made, based on their sonic shape. This algorithm also used the Singular Value Decomposition (SVD) to measure, vowel formants giving clear formant regions with the frequency regions identified on the y-axis plots.
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