This letter deals with the problem of adaptive signal detection in partially homogeneous and persymmetric Gaussian disturbance within the framework of invariance theory. First, a suitable group of transformations leaving the problem invariant is introduced and the maximal invariant statistic (MIS) is derived. Then, it is shown that the (two-step) generalized-likelihood ratio test, Rao, and Wald tests can be all expressed in terms of the MIS, thus proving that they all ensure a constant false-alarm rate.
On the maximal invariant statistic for adaptive radar detection in partially homogeneous disturbance with persymmetric covariance / Ciuonzo, D.; Orlando, D.; Pallotta, L.. - In: IEEE SIGNAL PROCESSING LETTERS. - ISSN 1070-9908. - 23:12(2016), pp. 1830-1834. [10.1109/LSP.2016.2618619]
On the maximal invariant statistic for adaptive radar detection in partially homogeneous disturbance with persymmetric covariance
Ciuonzo, D.;Pallotta, L.
2016
Abstract
This letter deals with the problem of adaptive signal detection in partially homogeneous and persymmetric Gaussian disturbance within the framework of invariance theory. First, a suitable group of transformations leaving the problem invariant is introduced and the maximal invariant statistic (MIS) is derived. Then, it is shown that the (two-step) generalized-likelihood ratio test, Rao, and Wald tests can be all expressed in terms of the MIS, thus proving that they all ensure a constant false-alarm rate.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
