Template Matching with Ranks
Statistics Theory
2020-12-16 v1 Signal Processing
Statistics Theory
Abstract
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 H\'ajek'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.
Cite
@article{arxiv.2012.07937,
title = {Template Matching with Ranks},
author = {Ery Arias-Castro and Lin Zheng},
journal= {arXiv preprint arXiv:2012.07937},
year = {2020}
}