用洛维谱与2.5D模型定位移动宽带噪声源,无需信号预处理。
Localizing broadband noise sources using the Loève spectrum and a 2.5D approach

- 基于2.5D模型直接建模运动对频域信号的影响
- 通过多锥估计洛维谱实现100 m/s内移动源定位
- 适合宽带随机源定位,但需平稳信号且频谱平坦
利用麦克风阵列定位移动声源通常需补偿多普勒效应。时域方法逐样本处理,频域则依赖短时窗假设多普勒近似不变并进行离散傅里叶变换。本文提出一种新的逆向2.5D定位方法,针对匀速单频源,在频域中使用更长窗长,无需修改原始信号或假设测量信号准平稳。该方法通过改进2.5D前向模型,直接在静止观测点计算运动效应。尽管此方法不直接适用于宽带随机源,本文推导了在2.5D设置下,匀速运动随机源的功率谱密度与其在静止接收器处的洛维谱之间的关系。基于速度高达100 m s⁻¹的模拟数据,验证了基于多锥估计洛维谱的移动宽带随机源定位方法的可行性。当前方法要求源信号平稳,且频率关注区附近频谱平坦;源间相关性暂未考虑。
原文摘要 · Abstract (English)
The localization of moving sound sources using a microphone array is typically based on modifying the signal to compensate for the Doppler effect. In the time domain this compensation is done on a sample-by-sample basis. In the frequency domain short time segments need to be used in which the Doppler effect is assumed to be approximately constant and a discrete Fourier transform is done on each segment. In contrast, the authors developed an inverse 2.5D localization method for uniformly moving single-frequency sources that works in the spectral domain and allows for the use of longer windows. This was achieved by modifying the 2.5D forward model to directly compute the effect of the motion in the static observer position. The method does neither require to modify the measured signal nor does it require quasi-stationary of the measurements within the window used. Unfortunately, this approach is not directly suitable for broad-band stochastic sources, and in the present work we will investigate how the statistical properties of a uniformly moving stochastic source change when observed at a static observer. Using a 2.5D setting, the relation between the power spectral density of the moving source and the Loève spectrum, which is a generalization of the cross-spectral density at the static receivers, was derived. Based on simulated data with speeds up to 100 m\,s$^{-1}$, the work presented here provides a proof of concept for a method based on multi-taper estimates for the Loève spectrum to localize moving broad-band stochastic sources . Currently, the method requires a stationary source signal and that the spectral density is flat within a certain range around the frequency of interest. Also, correlations between sources are currently not considered.
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