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相关概念视频

Echo01:06

Echo

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The human ear cannot distinguish between two sources of sound if they happen to reach within a specific time interval, typically 0.1 seconds apart. More than this, and they are perceived as separate sources.
Imagine the sound is reflected back to the ears. Assuming that the source is very close to the human, the difference between hearing the two sounds—the emitted sound and the reflected sound—may be more than the minimum time for perceiving distinct sounds. If this is the case,...
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Interference: Path Lengths01:10

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Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same.
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
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Reflection of Waves01:07

Reflection of Waves

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When a wave travels from one medium to another, it gets reflected at the boundary of the second medium. A common example of this is when a person yells at a distance from a cliff and hears the echo of their voice. The sound waves (longitudinal waves) traveling in the air are reflected from the bounding cliff. Similarly, flipping one end of a string whose other end is tied to a wall causes a pulse (transverse wave) to travel through the string, which gets reflected upon reaching the wall. In...
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Rectangular and Triangular Pulse Function01:19

Rectangular and Triangular Pulse Function

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The unit rectangular pulse function is mathematically represented by a rectangular function centered at the origin with a height of one unit. This function is defined by two parameters: T, which specifies the center location of the pulse along the time axis, and τ, which determines the pulse duration.
For example, consider a rectangular pulse with a 5V amplitude, a 3-second duration, and centered at t=2 seconds. This pulse can be expressed using the rectangular function, written as,
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Sound Waves: Interference00:53

Sound Waves: Interference

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Sound waves can be modeled either as longitudinal waves, wherein the molecules of the medium oscillate around an equilibrium position, or as pressure waves. When two identical waves from the same source superimpose on each other, the combination of two crests or two troughs results in amplitude reinforcement known as constructive interference. If two identical waves, that are initially in phase, become out of phase because of different path lengths, the combination of crests with troughs...
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Sound Waves: Resonance01:14

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Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
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定向反响时间和图像源方法用于矩形平行平行脚的房间.

Stefan Bilbao1, Benoit Alary2

  • 1Acoustics and Audio Group, University of Edinburgh, Room 2.10 Alison House, 12 Nicolson Square, Edinburgh, EH8 9DF, United Kingdom.

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概括

这项研究使用图像源方法在室内声学中获得了定向能量衰减和反响时间的闭式表达式. 这些发现简化了对反响时间的计算,特别是对全向能量衰变曲线的计算.

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科学领域:

  • 声学 声学 在声学方面
  • 几何声学 在几何声学方面.
  • 虚拟声学是一种虚拟的声学.

背景情况:

  • 图像源 (IS) 方法是模拟室内和虚拟环境中的几何声学的标准技术.
  • 使用IS的房间反响分析对几何和墙壁属性敏感,反响时间根据房间轴相对的反射到达角度而异.

研究的目的:

  • 导出一个封闭式表达式,用于指向能量衰变和声时间在晚期响应.
  • 为角度独立和角度依赖反射提供一个适用于角度独立和角度依赖反射的公式.
  • 为了简化反响时间的计算,特别是对于通向的能量衰变曲线.

主要方法:

  • 导出用于定向能量衰减和反响时间的封闭式表达式.
  • 导出表达式的应用到一个矩形平行平行脚的几何学.
  • 与IS方法结果对闭式表达式的数值验证.

主要成果:

  • 一个新的封闭式表达式用于定向能量衰变和反响时间已经成功衍生出来.
  • 这个表达式适用于房间声学的后期响应阶段.
  • 该公式对全向能量衰变曲线 (EDC) 进行了显著简化.

结论:

  • 衍生的闭式表达式提供了一种更有效的方法来计算定向反响时间.
  • 这种方法增强了房间声学的分析,特别是在复杂的场景.
  • 验证证实了根据已建立的模拟技术来证明衍生表达式的准确性.