Persymmetric Union Subspace Detection in Structured Interference

This paper deeply explores the detection of a signal belonging to a union of subspace (UoS) in the presence of interference subspace. We propose three detectors based on the generalized likelihood ratio test (GLRT), Rao criterion, and Wald criterion using the presymmetry structure of the received data. By taking advantage of the data’s presymmetric structure, we can detect the signal more effectively. Experimental results show that the proposed detectors perform better than the traditional detectors in the presence of interference subspace, especially when the training data is insufficient. In general, this paper provides an effective method for solving the problem of signal detection with interference subspace.