Signal Detection From Unlabeled Ordered Samples
Zhennan Liu, Jiang Zhu · IEEE Communications Letters · 2018
In this letter, a variant of the classical signal detection problem is studied, where the known signal is selected while preserving their relative order. A dynamic programming algorithm is utilized to recover the selection matrix, and a generalized likelihood ratio test detector is proposed to decide the null and the alternative hypothesis. Besides, a sufficient condition under which the selection matrix can be recovered with high probability is provided. Finally, the numerical simulations are conducted to verify the theoretical results.