Two Mirroring And Interpolating Methods To Estimate Peak Position For Symmetric Signals With Single Peak

TL;DR

This paper introduces two novel algorithms leveraging symmetry, mirroring, and interpolation to accurately estimate the peak position in symmetric signals, outperforming existing methods especially in noisy or sparse conditions.

Contribution

The paper presents two new algorithms that utilize symmetry and interpolation to improve peak position estimation in symmetric signals, with enhanced accuracy and noise resistance.

Findings

Algorithms outperform current methods in accuracy.

Enhanced noise resistance demonstrated.

Effective in sparse spectrum scenarios.

Abstract

Signals with single peak and symmetry property are very common in various fields, such as probability density function of normal distribution. Among the information contained in such signals, peak position is the most important, sometimes even the only parameter concerned. Current methods for peak position estimation are always with low precision and bad noise resistance, perform badly for sparse spectrum. This manuscript proposes two new algorithms that take advantage of symmetry property, conduct mirroring and interpolating operations to condense signal spectrum. From tests done in this paper, these two algorithms indicate outstanding advantages compared with current methods.