Abstract
The acoustic volume-velocity wave produced by the human vocal cords frequently approximates a triangular shape. A theoretical examination of the frequency-domain properties of the triangular wave is consequently of interest in speech analysis. The occurrence of spectral zeros in the glottal wave is of particular importance. When they fall proximate to formants, they can have appreciable influence upon the quality of voiced sounds. The present paper derives equations for the complex frequencies of the zeros. Arbitrary values of wave asymmetry (leg ratio) are treated. In a number of cases, for which the asymmetry can be expressed as a ratio of small whole numbers, exact solutions are obtained. In the less simple cases, solutions are approximated by using a digital computer. Detailed nomograms are presented for the complex-frequency loci of the zeros as a function of waveshape.
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