2020/12/14 by Arias-Castro, Ery, Zheng, Lin
#FOS: Electrical engineering #FOS: Mathematics #Signal Processing (eess.SP) #Statistics Theory (math.ST) #electronic engineering #information engineering
paper · doi:10.48550/arxiv.2012.07937
We consider the problem of matching a template to a noisy signal. Motivated by some recent proposals in the signal processing literature, we suggest a rank-based method and study its asymptotic properties using some well-established techniques in empirical process theory combined with Hájek's projection method. The resulting estimator of the shift is shown to achieve a parametric rate of convergence and to be asymptotically normal. Some numerical simulations corroborate these findings.