Signal to Noise Ratio estimation in passive correlation-based imaging

Garnier, Josselin and Papanicolaou, George and Semin, Adrien and Tsogka, Chrysoula (2013) Signal to Noise Ratio estimation in passive correlation-based imaging. SIAM Imaging Science. (In Press)

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Abstract

We consider imaging with passive arrays of sensors using as illumination ambient noise sources. The first step for imaging under such circumstances is the computation of the cross correlations of the recorded signals, which have attracted a lot of attention recently because of their numerous applications in seismic imaging, volcano monitoring, and petroleum prospecting. Here, we use these cross correlations for imaging reflectors with travel-time migration. While the resolution of the image obtained this way has been studied in detail, an analysis of the signal-to-noise ratio (SNR) is presented in this paper along with numerical simulations that support the theoretical results. It is shown that the SNR of the image inherits the SNR of the computed cross correlations and therefore it is proportional to the square root of the bandwidth of the noise sources times the recording time. Moreover, the SNR of the image is proportional to the array size. This means that the image can be stabilized by increasing the size of the array when the recorded signals are not of long duration, which is important in applications such as non-destructive testing.

Item Type: Article
Uncontrolled Keywords: Correlation-based imaging, noise sources, resolution analysis, signal-to-noise ratio
Subjects: Q Science > QA Mathematics
Depositing User: Chrysoula Tsogka
Date Deposited: 03 Apr 2013 12:29
Last Modified: 18 Nov 2017 00:00
URI: http://preprints.acmac.uoc.gr/id/eprint/222

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