Paper
28 January 2002 Detection of target signals in clutter using change point statistics
Nicholas A. Nechval, Konstantin N. Nechval, Edgars Vasermanis
Author Affiliations +
Proceedings Volume 4541, Image and Signal Processing for Remote Sensing VII; (2002) https://doi.org/10.1117/12.454145
Event: International Symposium on Remote Sensing, 2001, Toulouse, France
Abstract
The problem of detecting target signals in clutter arises in various applications, such as radar, sonar, communication, active or passive electro-optical sensors, etc. In many instances, the signals or objects are dim or partially obscured in a severe clutter environment that can vary widely. The inherent difficulties of such a detection process are the limited prior information about the target signal and the statistical properties of the clutter. In this paper, the signal detection problem is reduced to the problem of detecting a change point in a sequence of the GLRT statistics. A change point is defined to be an index (tau) in a sequence x1, x2, ..., xT of the GLRT statistics such that x1, x2, ..., x(tau ) have a common distribution F0(x) and x(tau +1), ..., xT have a common distribution F1(x), where F0(x)does not equal F1(x). Note that there is no change point if (tau) equals T. Many authors have presented approaches to solving the above problem. These include tests for a change in mean level, likelihood ratio tests, Bayesian approaches to inference about (tau) , and distribution-free approaches. In order to solve the change point problem, i.e., to determine whether or not a change point exists in a sequence of the GLRT statistics, we use a method which makes no assumption about F0(x) and F1(x). Essentially, there are two problems associated with change point detection: detecting the change and making inferences about the change point. For solving these problems, a non-parametric technique is proposed. The test for testing the null hypothesis of 'no change' (clutter alone) against the alternative of 'change' (signal present) is based on a version of the Waerden statistic. Estimating the change point is based on a version of the Mann-Whitney statistic. The proposed procedure can be used for segmentation of non- stationary signals into 'homogeneous' parts. The problem of segmenting the homogeneous parts of a digital signal, or detecting abrupt changes in a signal, is a key point which frequently arises in various application areas where modeling and processing of non-stationary digital signals is required. The results of computer simulations confirm the validity of the theoretical predictions of performance of the suggested technique.
© (2002) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Nicholas A. Nechval, Konstantin N. Nechval, and Edgars Vasermanis "Detection of target signals in clutter using change point statistics", Proc. SPIE 4541, Image and Signal Processing for Remote Sensing VII, (28 January 2002); https://doi.org/10.1117/12.454145
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Cited by 2 scholarly publications.
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KEYWORDS
Signal detection

Signal processing

Target detection

Digital signal processing

Statistical analysis

Radar

Computer simulations

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