Adaptive Double-Subspace Signal Detection in Homogeneous and Partially Homogeneous Environments

The double-subspace (DOS) signal model is general to describe various signals, for which several detectors have been proposed in the literature. However, some detectors obtained in previous work hold true only for special cases. In this paper, we reconsider the problems of DOS signal detection in homogeneous environment and partially homogeneous environment (PHE). The correct signal coordinate matrices are derived under the general DOS framework, and the corresponding parameters are obtained as well. The generalized likelihood ratio test (GLRT), Wald test, gradient test, and a type of spectral norm test in PHE are developed, and the GLRT and gradient test in HE coincide with existing ones. The constant alarm rate properties of the designed detectors are established and verified by numerical examples. Simulations are conducted to show that the proposed GLRT and gradient test in PHE perform better in some scenarios.

Adaptive Double-Subspace Signal Detection in Homogeneous and Partially Homogeneous Environments

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