Space-Time Correlation in Spherical and Circular Noise Fields
Space-Time Correlation in Spherical and Circular Noise Fields
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DOI：
10.1121/1.1918232
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发表时间：
1962-07
影响因子：
2.4
通讯作者：
M. J. Jacobson
中科院分区：
文献类型：
--
作者：
M. J. Jacobson
在为检测和定位噪声场中的信号源而设计的许多系统分析中，需要知道场中两个点在不同时间的噪声相关性。虽然在一些研究中考虑了空间效应，但时间效应往往被忽视。在这篇报告中，当噪声是由位于无限半径的球面和圆上的独立噪声源产生时，时空相关性被认为是频率、点间距和时间差的函数。得到了许多结果，最重要的是，通常情况下，对于某些非零时间差，噪声互相关将比对于零时间差大得多。因此，对于噪声互相关可能不利地影响性能的系统，必须考虑插入时间延迟的影响。
In many analyses of systems designed to detect and locate a signal source in a noise field, it is necessary to know the correlation of the noise at two points in the field at different times. While spatial effects have been considered in some studies, temporal effects are usually neglected. In this report, space‐time correlation is considered as a function of frequency, point separation, and time difference when the noise is generated by independent noise sources located on a sphere and circle of infinite radius. Numerous results are obtained, the most important being that, in general, noise cross correlation will be very much greater for certain nonzero time differences than for a zero time difference. The effects of inserted time delay must therefore be considered for systems in which noise cross correlation may adversely affect performance.