Resolution Limit of Single-Photon LiDAR

Fuente: arXiv
Saved in:
Bibliographic Details
Main Authors: Chan, Stanley H., Weerasooriya, Hashan K., Zhang, Weijian, Abshire, Pamela, Gyongy, Istvan, Henderson, Robert K.
Format: Preprint
Published: 2024
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866917628558180352
author Chan, Stanley H.
Weerasooriya, Hashan K.
Zhang, Weijian
Abshire, Pamela
Gyongy, Istvan
Henderson, Robert K.
author_facet Chan, Stanley H.
Weerasooriya, Hashan K.
Zhang, Weijian
Abshire, Pamela
Gyongy, Istvan
Henderson, Robert K.
contents Single-photon Light Detection and Ranging (LiDAR) systems are often equipped with an array of detectors for improved spatial resolution and sensing speed. However, given a fixed amount of flux produced by the laser transmitter across the scene, the per-pixel Signal-to-Noise Ratio (SNR) will decrease when more pixels are packed in a unit space. This presents a fundamental trade-off between the spatial resolution of the sensor array and the SNR received at each pixel. Theoretical characterization of this fundamental limit is explored. By deriving the photon arrival statistics and introducing a series of new approximation techniques, the Mean Squared Error (MSE) of the maximum-likelihood estimator of the time delay is derived. The theoretical predictions align well with simulations and real data.
format Preprint
id arxiv_https___arxiv_org_abs_2403_17719
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Resolution Limit of Single-Photon LiDAR
Chan, Stanley H.
Weerasooriya, Hashan K.
Zhang, Weijian
Abshire, Pamela
Gyongy, Istvan
Henderson, Robert K.
Signal Processing
Computer Vision and Pattern Recognition
Single-photon Light Detection and Ranging (LiDAR) systems are often equipped with an array of detectors for improved spatial resolution and sensing speed. However, given a fixed amount of flux produced by the laser transmitter across the scene, the per-pixel Signal-to-Noise Ratio (SNR) will decrease when more pixels are packed in a unit space. This presents a fundamental trade-off between the spatial resolution of the sensor array and the SNR received at each pixel. Theoretical characterization of this fundamental limit is explored. By deriving the photon arrival statistics and introducing a series of new approximation techniques, the Mean Squared Error (MSE) of the maximum-likelihood estimator of the time delay is derived. The theoretical predictions align well with simulations and real data.
title Resolution Limit of Single-Photon LiDAR
topic Signal Processing
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2403.17719