A detector for the case of a radar target with known Doppler and unknown complex amplitude in complex Gaussian noise with unknown parameters has been derived. The detector assumes that the noise is an Auto-Regressive (AR) process with Gaussian autocorrelation function which is a suitable model for ground clutter in most scenarios involving airborne radars. The detector estimates the unknown...

Detecting a transient signal of unknown arrival time in noise is actually a binary hypothesis test problem, where the null hypothesis (noise only) is a simple one, while the alternative hypothesis is composite. The generalized likelihood ratio test (GLRT) is a common tool to solve such problems. In this paper we show how order statistics (OS) approach can be used to solve the same problem. We s...

Generalized likelihood ratio test (GLRT) for directional residual based fault isolation is studied in this paper. The conditional probability of correct fault isolation is used to measure the performance of the test. The explicit form of this probability is derived with the help of two GLRT invariant properties and the standard fault isolation subspace. The effect of linear transformation is st...