一种侵入性吉布斯采样方法,用于实现麦克风阵列非同步测量
Lingji Xu1,2, Fanchang Zeng1,2, Jerome Antoni3
1School of Ocean Engineering and Technology, Sun Yat-sen University and Southern Marine Science and Engineering Guangdong Laboratory, Zhuhai 519000, China.
The Journal of the Acoustical Society of America
|February 24, 2025
概括
非同步的麦克风阵列测量通过恢复缺失的相位信息来实现高密度阵列. 使用侵入性吉布斯采样的新贝叶斯方法有效地重建声源.
科学领域:
- 声学 声学 在声学方面
- 信号处理 信号处理
- 计算物理 计算物理
背景情况:
- 非同步的麦克风阵列测量为通过顺序扫描实现大阵列或高麦克风密度的解决方案.
- 这种技术克服了传统阵列光圈和麦克风密度所造成的频率限制.
研究的目的:
- 为了应对在非同步测量中恢复缺失的相位信息的关键挑战.
- 作为一个贝叶斯框架内的方程系统的解决方案来研究这个问题.
主要方法:
- 建议使用侵入性吉布斯采样方法来进行源重建.
- 马尔科夫链的趋同诊断用三个不同的方法来说明.
- 对声源重建错误进行了分析,涉及频率范围,信号噪声比,测量距离和顺序移动转移距离.
主要成果:
- 拟议的吉布斯采样方法的结果与非同步测量的预期最大化算法相当.
- 数字模拟证明了马尔科夫链的收.
- 在半无声室中的实验验证证证了该方法的有效性.
结论:
- 使用侵入性吉布斯采样的贝叶斯方法是使用非同步麦克风阵列测量的声源重建的有效方法.
- 该研究通过各种参数和实验测试验证了拟议方法的性能.
相关概念视频
01:18Aliasing
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Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
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01:11Sampling Continuous Time Signal
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In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...
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01:15Sampling Theorem
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In signal processing, the analysis of continuous-time signals, denoted as x(t), often involves sampling techniques to convert these signals into discrete-time signals. This process is essential for digital representation and manipulation. A critical component in sampling is the train of impulses, characterized by the sampling interval and the sampling frequency. The relationship between these parameters and the original signal's properties dictates the success of the sampling process.
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