Vibrato is one of the most common musical techniques used for the enrichment of vocal and musical instrument sounds. We propose a method that can analyse the intonation, vibrato rate, and vibrato extent of a vibrato tone as a function of time, which is based on the discrete Fourier transform of its fundamental frequency trajectory. According to experimental results, the proposed method is robust to the irregularities in the fundamental frequency trajectory. In addition, the proposed method provides different results for intonation and vibrato extent from those of Prame’s method when the fundamental frequency trajectory is not perfectly sinusoidal.

中文翻译：

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基于离散傅里叶变换的颤音分析方法

颤音是用于丰富人声和乐器声音的最常见的音乐技巧之一。我们提出了一种方法，可以将颤音的音调、颤音速率和颤音范围作为时间的函数进行分析，该方法基于其基频轨迹的离散傅立叶变换。根据实验结果，所提出的方法对基频轨迹的不规则性具有鲁棒性。此外，当基频轨迹不是完美的正弦曲线时，所提出的方法提供了与 Prame 方法不同的语调和颤音范围结果。