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2026 , Vol. 31 >Issue 4: 1048 - 1056

DOI: https://doi.org/10.1007/s12204-025-2797-5

Automation & Computer Technologies

Parametric Modeling of Glottal Flow in Form of Piecewise Differential Equations

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  • Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari 61100, Pakistan; National College of Business Administration and Economics Lahore, Multan Sub Campus, Multan 60000, Pakistan

Received date: 2024-04-26

  Accepted date: 2024-08-25

  Online published: 2026-07-22

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Abstract

For realistic speech generation, variation in glottal waveform models has long been proposed. Due to simplicity and efficiency, the parametric models of the glottal flow are very popular in the field of speech generation. The proposed work presents a new approach to modeling the glottal flow. The current model is comprised of two piecewise differential equations that generate a glottal pulse. The first and second differential equations generate the opening and closing phases of the vocal folds, respectively while the closed phase is taken as zero. There are four parameters involved in the proposed model to bring variation in the shape of the glottal pulse. The current model is very flexible in designing a glottal pulse and is comparable with the famous Liljencrants-Fant model, Rosenberg model, and KLGLOTT88 model. This comparison supports its successful implementation as a voice source in speech synthesis which also leads to the validity of our differential equation-based glottal model.

Cite this article

Mushtaq Tahir, Murtaza Sadaf, Saleem Muhammad, Farhad Khurram, Ejaz Muhammad Faisal . Parametric Modeling of Glottal Flow in Form of Piecewise Differential Equations[J]. Journal of Shanghai Jiaotong University(Science), 2026 , 31(4) : 1048 -1056 . DOI: 10.1007/s12204-025-2797-5

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