AUTHOR=Pan Liyan , Gao Yongchan , Ye Zhou , Lv Yuzhou , Fang Ming 

TITLE=Persymmetric Adaptive Union Subspace Detection

JOURNAL=Frontiers in Signal Processing

VOLUME=1

YEAR=2021

URL=https://www.frontiersin.org/journals/signal-processing/articles/10.3389/frsip.2021.782182

DOI=10.3389/frsip.2021.782182

ISSN=2673-8198

ABSTRACT=<p>This paper addresses the detection of a signal belonging to several possible subspace models, namely, a union of subspaces (UoS), where the active subspace that generated the observed signal is unknown. By incorporating the persymmetric structure of received data, we propose three UoS detectors based on GLRT, Rao, and Wald criteria to alleviate the requirement of training data. In addition, the detection statistic and classification bound for the proposed detectors are derived. Monte-Carlo simulations demonstrate the detection and classification performance of the proposed detectors over the conventional detector in training-limited scenarios.</p>