Statistical Modelling of SPADs for Time-of-Flight LiDAR

Time-of-Flight (TOF) based Light Detection and Ranging (LiDAR) is a widespread technique for distance measurements in both single-spot depth ranging and 3D mapping. Single Photon Avalanche Diode (SPAD) detectors provide single-photon sensitivity and allow in-pixel integration of a Time-to-Digital Co...

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Main Authors: Alfonso Incoronato, Mauro Locatelli, Franco Zappa
Format: Article
Language:English
Published: MDPI AG 2021-06-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/21/13/4481
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author Alfonso Incoronato
Mauro Locatelli
Franco Zappa
author_facet Alfonso Incoronato
Mauro Locatelli
Franco Zappa
author_sort Alfonso Incoronato
collection DOAJ
description Time-of-Flight (TOF) based Light Detection and Ranging (LiDAR) is a widespread technique for distance measurements in both single-spot depth ranging and 3D mapping. Single Photon Avalanche Diode (SPAD) detectors provide single-photon sensitivity and allow in-pixel integration of a Time-to-Digital Converter (TDC) to measure the TOF of single-photons. From the repetitive acquisition of photons returning from multiple laser shots, it is possible to accumulate a TOF histogram, so as to identify the laser pulse return from unwelcome ambient light and compute the desired distance information. In order to properly predict the TOF histogram distribution and design each component of the LiDAR system, from SPAD to TDC and histogram processing, we present a detailed statistical modelling of the acquisition chain and we show the perfect matching with Monte Carlo simulations in very different operating conditions and very high background levels. We take into consideration SPAD non-idealities such as hold-off time, afterpulsing, and crosstalk, and we show the heavy pile-up distortion in case of high background. Moreover, we also model non-idealities of timing electronics chain, namely, TDC dead-time, limited number of storage cells for TOF data, and TDC sharing. Eventually, we show how the exploit the modelling to reversely extract the original LiDAR return signal from the distorted measured TOF data in different operating conditions.
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spelling doaj.art-c6d8e7d6212d40729c7d7068d883affe2023-11-22T02:25:10ZengMDPI AGSensors1424-82202021-06-012113448110.3390/s21134481Statistical Modelling of SPADs for Time-of-Flight LiDARAlfonso Incoronato0Mauro Locatelli1Franco Zappa2Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133 Milano, ItalyDipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133 Milano, ItalyDipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133 Milano, ItalyTime-of-Flight (TOF) based Light Detection and Ranging (LiDAR) is a widespread technique for distance measurements in both single-spot depth ranging and 3D mapping. Single Photon Avalanche Diode (SPAD) detectors provide single-photon sensitivity and allow in-pixel integration of a Time-to-Digital Converter (TDC) to measure the TOF of single-photons. From the repetitive acquisition of photons returning from multiple laser shots, it is possible to accumulate a TOF histogram, so as to identify the laser pulse return from unwelcome ambient light and compute the desired distance information. In order to properly predict the TOF histogram distribution and design each component of the LiDAR system, from SPAD to TDC and histogram processing, we present a detailed statistical modelling of the acquisition chain and we show the perfect matching with Monte Carlo simulations in very different operating conditions and very high background levels. We take into consideration SPAD non-idealities such as hold-off time, afterpulsing, and crosstalk, and we show the heavy pile-up distortion in case of high background. Moreover, we also model non-idealities of timing electronics chain, namely, TDC dead-time, limited number of storage cells for TOF data, and TDC sharing. Eventually, we show how the exploit the modelling to reversely extract the original LiDAR return signal from the distorted measured TOF data in different operating conditions.https://www.mdpi.com/1424-8220/21/13/4481Single Photon Avalanche Diode (SPAD)Silicon Photo-Multipliers (SiPM)Light Detection and Ranging (Lidar)Time-of-Flight (TOF) measurementsMonte Carlo simulations
spellingShingle Alfonso Incoronato
Mauro Locatelli
Franco Zappa
Statistical Modelling of SPADs for Time-of-Flight LiDAR
Sensors
Single Photon Avalanche Diode (SPAD)
Silicon Photo-Multipliers (SiPM)
Light Detection and Ranging (Lidar)
Time-of-Flight (TOF) measurements
Monte Carlo simulations
title Statistical Modelling of SPADs for Time-of-Flight LiDAR
title_full Statistical Modelling of SPADs for Time-of-Flight LiDAR
title_fullStr Statistical Modelling of SPADs for Time-of-Flight LiDAR
title_full_unstemmed Statistical Modelling of SPADs for Time-of-Flight LiDAR
title_short Statistical Modelling of SPADs for Time-of-Flight LiDAR
title_sort statistical modelling of spads for time of flight lidar
topic Single Photon Avalanche Diode (SPAD)
Silicon Photo-Multipliers (SiPM)
Light Detection and Ranging (Lidar)
Time-of-Flight (TOF) measurements
Monte Carlo simulations
url https://www.mdpi.com/1424-8220/21/13/4481
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