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arXiv · 2012.07937

Template Matching with Ranks

Ery Arias-Castro·Lin Zheng
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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.

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Ery Arias-Castro, Lin Zheng. 2020-12-14. Template Matching with Ranks. https://arxiv.org/abs/2012.07937

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