A Unifying Framework for Adaptive Radar Detection in Homogeneous Plus Structured Interference— Part I: On the Maximal Invariant Statistic
Abstract
This paper deals with the problem of adaptive multidimensional/multichannel signal detection in homogeneous Gaussian disturbance with unknown covariance matrix and structured deterministic interference. The aforementioned problem corresponds to a generalization of the well-known Generalized Multivariate Analysis of Variance (GMANOVA). In this first part of the work, we formulate the considered problem in canonical form and, after identifying a desirable group of transformations for the considered hypothesis testing, we derive a Maximal Invariant Statistic (MIS) for the problem at hand. Furthermore, we provide the MIS distribution in the form of a stochastic representation. Finally, strong connections to the MIS obtained in the open literature in simpler scenarios are underlined.
- Publication:
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IEEE Transactions on Signal Processing
- Pub Date:
- June 2016
- DOI:
- 10.1109/TSP.2016.2519003
- arXiv:
- arXiv:1507.05263
- Bibcode:
- 2016ITSP...64.2894C
- Keywords:
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- Computer Science - Information Theory;
- Statistics - Methodology
- E-Print:
- Submitted for journal publication