# Calculation of time resolution of the J-PET tomograph using the Kernel Density Estimation

## TL;DR

This paper presents a novel analytical approach combining Tikhonov regularization and Kernel Density Estimation to accurately calculate the time resolution of the J-PET plastic scintillator scanner, validated through experimental data.

## Contribution

It introduces a new method for estimating time resolution using closed-form formulas and validates it with experimental data from the J-PET scanner.

## Key findings

- Analytical formulas for time resolution were derived.
- Experimental results agree with theoretical predictions.
- Method improves understanding of J-PET timing performance.

## Abstract

In this paper we estimate the time resolution of the J-PET scanner built from plastic scintillators. We incorporate the method of signal processing using the Tikhonov regularization framework and the Kernel Density Estimation method. We obtain simple, closed-form analytical formulas for time resolutions. The proposed method is validated using signals registered by means of the single detection unit of the J-PET tomograph built out from 30 cm long plastic scintillator strip. It is shown that the experimental and theoretical results, obtained for the J-PET scanner equipped with vacuum tube photomultipliers, are consistent.