# Recovery of the starting times of delayed signals

## TL;DR

This paper introduces a novel iterative method for accurately identifying the starting times of multiple delayed signals within finite data sequences, even under noisy conditions.

## Contribution

The paper proposes a new iterative approach to locate the starting points of multiple delayed signals, including damped ones, in finite data sequences, with demonstrated noise robustness.

## Key findings

- Effective in locating the longest delay first
- Iterative method successfully identifies all starting points
- Noise sensitivity tests show robustness under weak noise

## Abstract

We present a new method to locate the starting points in time of an arbitrary number of (damped) delayed signals. For a finite data sequence, the method permits to first locate the starting point of the component with the longest delay, and then --by iteration-- all the preceding ones. Numerical examples are given and noise sensitivity is tested for weak noise.