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The authors present Compressed Statistical Testing (CST) with an illustrative application to radar target detection. They characterize an optimality condition for a compressed domain test to yield the same result as the corresponding test in the uncompressed domain. They demonstrate by simulation that under high SNR, a likelihood ratio test with compressed samples at 3.3x or even higher compression ratio can achieve detection performance comparable to that with uncompressed data. For example, their compressed domain Sample Matrix Inversion test for radar target detection can achieve Constant False Alarm Rate (CFAR) performance similar to the corresponding test in the raw data domain.
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