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首页> 外文期刊>IEEE Geoscience and Remote Sensing Letters >Effect of signal contamination in matched-filter detection of the signal on a cluttered background
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Effect of signal contamination in matched-filter detection of the signal on a cluttered background

机译：杂波背景下信号的匹配滤波器检测中信号污染的影响

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摘要

To derive a matched filter for detecting a weak target signal in a hyperspectral image, an estimate of the band-to-band covariance of the target-free background scene is required. We investigate the effects of including some of the target signal in the background scene. Although the covariance is contaminated by the presence of a target signal (there is increased variance in the direction of the target signature), we find that the matched filter is not necessarily affected. In fact, if the variation in plume strength is strictly uncorrelated with the variation in background spectra, the matched filter and its signal-to-clutter ratio (SCR) performance will not be impaired. While there is little a priori reason to expect significant correlation between the plume and the background, there usually is some residual correlation, and this correlation leads to a suppressing effect that limits the SCR obtainable even for strong plumes. These effects are described and quantified analytically, and the crucial role of this correlation is illustrated with some numerical examples using simulated plumes superimposed on real hyperspectral imagery. In one example, we observe an order-of-magnitude loss in SCR for a matched filter based on the contaminated covariance.
机译：为了获得用于检测高光谱图像中的弱目标信号的匹配滤波器，需要估计无目标背景场景的波段间协方差。我们研究了在背景场景中包含一些目标信号的影响。尽管协方差被目标信号的存在所污染（目标签名方向的方差增加），但我们发现匹配滤波器不一定受到影响。实际上，如果羽流强度的变化与背景光谱的变化完全不相关，则匹配的滤波器及其信噪比（SCR）性能将不会受到损害。尽管几乎没有先验的理由期望羽状流和背景之间存在显着的相关性，但通常会存在一些残留的相关性，并且这种相关性会导致抑制效果，即使对于强羽状流，它也会限制可获取的SCR。对这些影响进行了描述和分析，并通过使用叠加在真实高光谱图像上的模拟羽流的一些数值示例说明了这种相关性的关键作用。在一个示例中，我们观察到了基于污染协方差的匹配滤波器在SCR中的数量级损失。

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