Statistical Analysis of the Non-Homogeneity Detector for STAP Applications
AIR FORCE RESEARCH LAB HANSCOM AFB MA SENSORS DIRECTORATE
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We present a statistical analysis of the recently proposed non-homogeneity detector NHD for Gaussian interference statistics. Specifically, we show that a formal goodness-of-fit test can be constructed by accounting for the statistics of the generalized inner product GIP used as the NHD test statistic. The normalized-GIP follows a central-F distribution and admits a canonical representation in terms of two statistically independent chi-squared distributed random variables. Moments of the GIP can be readily calculated as a result. These facts are used to derive the goodness-of-fit tests, which facilitate intelligent training data selection. We then address the issue of space-time adaptive processing STAP algorithm performance using the NHD as a pre-processing step for training data selection. Performance of the adaptive matched filter AMP method is reported using simulated as well as measured data.
- Numerical Mathematics
- Statistics and Probability
- Radiofrequency Wave Propagation