Entropy (Jan 2023)

Detecting Non-Overlapping Signals with Dynamic Programming

  • Mordechai Roth,
  • Amichai Painsky,
  • Tamir Bendory

DOI
https://doi.org/10.3390/e25020250
Journal volume & issue
Vol. 25, no. 2
p. 250

Abstract

Read online

This paper studies the classical problem of detecting the locations of signal occurrences in a one-dimensional noisy measurement. Assuming the signal occurrences do not overlap, we formulate the detection task as a constrained likelihood optimization problem and design a computationally efficient dynamic program that attains its optimal solution. Our proposed framework is scalable, simple to implement, and robust to model uncertainties. We show by extensive numerical experiments that our algorithm accurately estimates the locations in dense and noisy environments, and outperforms alternative methods.

Keywords