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Improved vocal tract model for the elongation of segment lengths in a real time

机译：改进的声道模型在实时段长度的伸长率

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In the current work, an efficient approach has been implemented to model the fractional delay in the elongated cylindrical segments of the vocal tract in waveguide modeling. The vocal tract has been divided into uniform cylindrical segments of the variable lengths. In this case, the time taken by the sound wave to propagate through a cylindrical segment in an axial direction may not be an integer multiple of each other. This means that the delay in an axial direction is necessarily a fractional delay for each fractional elongated segment. In the previous work, to accommodate the fractional delay for each elongated cylindrical segment, two extra cylindrical segments of same lengths were added to maintain the even number of segments. In the proposed work, we add only a single extra segment for each fractional elongated segment which reduces memory and computational cost as well. To keep the even number of segments, we assume that the extra and original segments constitute a single long segment. Lagrange interpolation is used for the approximation of the fractional delay. The proposed model has been devised for the elongation of any arbitrary cylindrical segment by a suitable scaling factor. These results are validated with an accurate benchmark model. This model has a single algorithm and there is no need to make sections of the segments for the elongation of the intermediate segments. (C) 2019 Elsevier Ltd. All rights reserved.
机译：在当前的工作中，已经实施了一种有效的方法，以模拟波导建模中的声道中的细长圆柱片段的分数延迟。声道已被分成可变长度的均匀圆柱形段。在这种情况下，声波以轴向方向通过圆柱形段传播的时间不能是彼此的整数。这意味着轴向延迟必须是每个分数细长段的分数延迟。在先前的工作中，为了适应每个细长圆柱形段的分数延迟，加入两个相同长度的额外圆柱形区段以保持偶数的区段。在拟议的工作中，我们只为每个分数细长段添加一个额外的段，这也可以降低内存和计算成本。为了保持偶数的段，我们假设额外和原始段构成一个长段。拉格朗日插值用于分数延迟的近似。所提出的模型已经设计用于通过合适的缩放因子伸长任何任意圆柱形段。这些结果用准确的基准模型进行了验证。该模型具有单个算法，并且不需要制备用于中间段伸长的段的部分。 （c）2019 Elsevier Ltd.保留所有权利。

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