關於聲音的量子聲樂理論（CS SD）

• 2020 年 3 月 27 日
• 筆記

聲學中的概念和形式常被用來舉例說明量子力學。反過來，如Gabor的研究所表明的那樣：量子力學也可以用來闡釋新的聲學觀點。這裡，我們特別關注人類聲音的研究，因為人類聲音被認為是探索聲音世界的探測器。我們提出了基於發聲觀測的理論框架，以及一些可用於分析和合成的測量儀器。與描述粒子的自旋狀態類似，量子力學的形式被用來描述與語音標籤相關的基本狀態之間的關係，如發音、湍流和聲門上肌彈性振動。這些狀態的混合和它們的時間演化仍然可以在傅里葉到伽柏的變化平面上解釋，並且可以實現有效的提取器。因此本文提出了聲量子聲樂理論的基礎，並對聲的分析和設計有一定的啟示。

原文題目：A Quantum Vocal Theory of Sound

原文：Concepts and formalism from acoustics are often used to exemplify quantum mechanics. Conversely, quantum mechanics could be used to achieve a new perspective on acoustics, as shown by Gabor studies. Here, we focus in particular on the study of human voice, considered as a probe to investigate the world of sounds. We present a theoretical framework that is based on observables of vocal production, and on some measurement apparati that can be used both for analysis and synthesis. In analogy to the description of spin states of a particle, the quantum-mechanical formalism is used to describe the relations between the fundamental states associated with phonetic labels such as phonation, turbulence, and supraglottal myoelastic vibrations. The intermingling of these states, and their temporal evolution, can still be interpreted in the Fourier/Gabor plane, and effective extractors can be implemented. The bases for a Quantum Vocal Theory of Sound, with implications in sound analysis and design, are presented.

原文作者：Davide Rocchesso, Maria Mannone

原文地址：https://arxiv.org/abs/2003.09632