Basler ral km. Camera Specification. Measurement protocol using the EMVA Standard 1288 Document Number: BD Version: 01

Similar documents
Basler aca640-90gm. Camera Specification. Measurement protocol using the EMVA Standard 1288 Document Number: BD Version: 02

Basler aca km. Camera Specification. Measurement protocol using the EMVA Standard 1288 Document Number: BD Version: 03

Basler aca gm. Camera Specification. Measurement protocol using the EMVA Standard 1288 Document Number: BD Version: 01

BASLER A601f / A602f

EMVA 1288 Data Sheet m0708

EMVA Standard Standard for Characterization of Image Sensors and Cameras

Basler ace. USER S MANUAL FOR GigE CAMERAS

Characterization results DR-8k-3.5 digital highspeed linescan sensor. according to. EMVA1288 Standard Revision 2.0

USER S MANUAL FOR USB 3.0 CAMERAS

Basler Accessories. Technical Specification BASLER LENS C M. Order Number

Basler Accessories. Technical Specification BASLER LENS C M. Order Number

USER S MANUAL FOR GigE CAMERAS The manual includes information about the following prototype cameras:

WHITE PAPER. Sensor Comparison: Are All IMXs Equal? Contents. 1. The sensors in the Pregius series

Basler. Line Scan Cameras

Basler A400k USER S MANUAL

Basler sprint USER S MANUAL FOR COLOR CAMERAS

Draft. Basler L100k USER S MANUAL

Basler scout. USER S MANUAL FOR GigE VISION CAMERAS

Basler sprint USER S MANUAL FOR COLOR CAMERAS

Basler pilot. USER S MANUAL FOR GigE VISION CAMERAS

Basler A600f USER S MANUAL

Advanced Camera and Image Sensor Technology. Steve Kinney Imaging Professional Camera Link Chairman

Basler sprint USER S MANUAL FOR MONO CAMERAS

product overview pco.edge family the most versatile scmos camera portfolio on the market pioneer in scmos image sensor technology

Basler ace USER S MANUAL FOR CAMERA LINK CAMERAS

Part Numbers. Fiber Driver - ST/DB25M FIBER DRIVER

FLEA 3 GigE Vision FLIR IMAGING PERFORMANCE SPECIFICATION. Version 1.1 Revised 1/27/2017

pco.dimax HS light sensitivity pco. high speed > Mpixel excellent

Draft. Basler A202k USER S MANUAL

Camera Calibration Certificate No: DMC III 27542

BLACKFLY USB3 Vision FLIR IMAGING PERFORMANCE SPECIFICATION. Version 5.1 Revised 1/26/2017

ELIIXA+ 8k/4k CL Cmos Multi-Line Colour Camera

Draft. Basler A102k USER S MANUAL

UNiiQA+ Color CL CMOS COLOR CAMERA

Everything you always wanted to know about flat-fielding but were afraid to ask*

Exercise questions for Machine vision

Basler pilot. USER S MANUAL FOR GigE VISION CAMERAS

For customers in Canada This apparatus complies with the Class A limits for radio noise emissions set out in Radio Interference

Transponder Reader TWN4 MultiTech 3 Quick Start Guide

DRAFT. Basler A500k USER S MANUAL

panda family ultra compact scmos cameras

Datasheet. AViiVA EM2 EM4 CL Line Scan Camera

Datasheet. AViiVA EM2 EM4 CL Line Scan Camera for Machine Vision. Main Features Sensor: x 14 µm Pixel. Product Description

EMVA1288 compliant Interpolation Algorithm

Basler ace. USER S MANUAL FOR GigE CAMERAS

AN0509 swarm API Country Settings

Basler scout light. USER S MANUAL (for scout light Cameras Used with Basler s Pylon API)

Basler pilot. USER S MANUAL FOR GigE VISION CAMERAS

Video Mono Audio Baluns

edge 4.2 bi cooled scmos camera

Video Stereo Audio Baluns

pco.dimax digital high speed 12 bit CMOS camera system

THE CCD RIDDLE REVISTED: SIGNAL VERSUS TIME LINEAR SIGNAL VERSUS VARIANCE NON-LINEAR

NanEye GS NanEye GS Stereo. Camera System

CMOS Star Tracker: Camera Calibration Procedures

Basler ace USER S MANUAL. Preliminary. Document Number: AW Version: 02 Language: 000 (English) Release Date: 9 March 2010

E19 PTC and 4T APS. Cristiano Rocco Marra 20/12/2017

Datasheet. ELIIXA+ 16k/8k CP Cmos Multi-Line Color Camera. Features. Description. Application. Contact us online at: e2v.

Pixel. Pixel 3. The LUMENOLOGY Company Texas Advanced Optoelectronic Solutions Inc. 800 Jupiter Road, Suite 205 Plano, TX (972)

Photons and solid state detection

pco.edge 4.2 LT 0.8 electrons 2048 x 2048 pixel 40 fps up to :1 up to 82 % pco. low noise high resolution high speed high dynamic range

Astronomy 341 Fall 2012 Observational Astronomy Haverford College. CCD Terminology

Blue Node. User Manual

TSL LINEAR SENSOR ARRAY

DESCRIPTION. The LUMENOLOGY Company Texas Advanced Optoelectronic Solutions Inc. 800 Jupiter Road, Suite 205 Plano, TX (972)

Polycom VoxBox Bluetooth/USB Speakerphone

Signal-to-Noise Ratio (SNR) discussion

FCC Certification Notice: IC Certification

Prosilica GT 1930L Megapixel machine vision camera with Sony IMX CMOS sensor. Benefits and features: Options:

Mako G G-030. Compact machine vision camera with high frame rate. Benefits and features: Options:

Low Light Level CCD Performance and Issues

Integrated Multi-Aperture Imaging

SEAMS DUE TO MULTIPLE OUTPUT CCDS

sensicam em electron multiplication digital 12bit CCD camera system

ams AG TAOS Inc. is now The technical content of this TAOS datasheet is still valid. Contact information:

TSL267 HIGH-SENSITIVITY IR LIGHT-TO-VOLTAGE CONVERTER TAOS033E SEPTEMBER 2007

Technical Notes. Integrating Sphere Measurement Part II: Calibration. Introduction. Calibration

TSL1406R, TSL1406RS LINEAR SENSOR ARRAY WITH HOLD

A101f. Camera User s Manual. Document ID Number: DA Revision Date: May 20, 2002 Subject to Change Without Notice Basler Vision Technologies

ams AG TAOS Inc. is now The technical content of this TAOS datasheet is still valid. Contact information:

1469 fps. pco.dimax HD / HD+ ISO speed. color fidelity. HD 1920 x 1080 pixel HD x 1440 pixel. pco. high speed. excellent high.

EE 392B: Course Introduction

ams AG TAOS Inc. is now The technical content of this TAOS datasheet is still valid. Contact information:

DCH-G020 mydlink Connected Home Hub

pco.edge electrons 2048 x 2048 pixel 100 fps :1 > 70 % pco. low noise high resolution high speed high dynamic range

SNR IMPROVEMENT FOR MONOCHROME DETECTOR USING BINNING

USER S MANUAL FOR USB 3.0 CAMERAS

Camera Test Protocol. Introduction TABLE OF CONTENTS. Camera Test Protocol Technical Note Technical Note

pco.dimax HD / HD+ ISO speed color fidelity pco. excellent highest high speed Full HD

Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, 77. Table of Contents 1

WDD-2977C / WDD-2977VDN

pco.1600 cooled digital 14bit CCD camera system

NOTES/ALERTS. Boosting Sensitivity

16+ HS300. Instructions for use. One Key Start/One Key Landing Function Headless Mode / One Key Return Altitude Hold Mode

Combining Images for SNR improvement. Richard Crisp 04 February 2014

A 3MPixel Multi-Aperture Image Sensor with 0.7µm Pixels in 0.11µm CMOS

Pser G uide oduct Manual

TCS230 PROGRAMMABLE COLOR LIGHT TO FREQUENCY CONVERTER TAOS046 - FEBRUARY 2003

IR Receiver Modules for Remote Control Systems

IR Receiver Modules for Remote Control Systems

Transcription:

Basler ral8-8km Camera Specification Measurement protocol using the EMVA Standard 188 Document Number: BD79 Version: 1

For customers in the U.S.A. This equipment has been tested and found to comply with the limits for a Class A digital device, pursuant to Part 15 of the FCC Rules. These limits are designed to provide reasonable protection against harmful interference when the equipment is operated in a commercial environment. This equipment generates, uses, and can radiate radio frequency energy and, if not installed and used in accordance with the instruction manual, may cause harmful interference to radio communications. Operation of this equipment in a residential area is likely to cause harmful interference in which case the user will be required to correct the interference at his own expense. You are cautioned that any changes or modifications not expressly approved in this manual could void your authority to operate this equipment. The shielded interface cable recommended in this manual must be used with this equipment in order to comply with the limits for a computing device pursuant to Subpart J of Part 15 of FCC Rules. For customers in Canada This apparatus complies with the Class A limits for radio noise emissions set out in Radio Interference Regulations. Pour utilisateurs au Canada Cet appareil est conforme aux normes Classe A pour bruits radioélectriques, spécifiées dans le Règlement sur le brouillage radioélectrique. Life Support Applications These products are not designed for use in life support appliances, devices, or systems where malfunction of these products can reasonably be expected to result in personal injury. Basler customers using or selling these products for use in such applications do so at their own risk and agree to fully indemnify Basler for any damages resulting from such improper use or sale. Warranty Note Do not open the housing of the camera. The warranty becomes void if the housing is opened. All material in this publication is subject to change without notice and is copyright Basler AG.

Contacting Basler Support Worldwide Europe: Basler AG An der Strusbek 6-6 96 Ahrensburg Germany Tel.: +9 1 63 515 Fax.: +9 1 63 599 support.europe@baslerweb.com Americas: Basler, Inc. 855 Springdale Drive, Suite 3 Exton, PA 1931 U.S.A. Tel.: +1 61 8 171 Fax.: +1 61 8 768 support.usa@baslerweb.com Asia: Basler Asia Pte. Ltd. 35 Marsiling Industrial Estate Road 3 # 5-6 Singapore 73957 Tel.: +65 6367 1355 Fax.: +65 6367 155 support.asia@baslerweb.com www.baslerweb.com

CONTENTS Contents 1 Overview 7 Introduction 8 3 Basic Information 9 3.1 Illumination................................... 1 3.1.1 Illumination Setup for the Basler Camera Test Tool......... 1 3.1. Measurement of the Irradiance.................... 1 Characterizing Temporal Noise and Sensitivity 11.1 Basic Parameters................................ 11.1.1 Total Quantum Efficiency....................... 11.1. Temporal Dark Noise.......................... 13.1.3 Dark Current.............................. 1.1. Doubling Temperature......................... 1.1.5 Inverse of Overall System Gain.................... 15.1.6 Inverse Photon Transfer........................ 16.1.7 Saturation Capacity.......................... 17. Derived Data.................................. 18..1 Absolute Sensitivity Threshold.................... 18.. Signal-to-noise Ratio.......................... 19..3 Dynamic Range............................ 1.3 Raw Measurement Data.............................3.1 Mean Gray Value.............................3. Variance of the Temporal Distribution of Gray Values........ 3.3.3 Mean of the Gray Values Dark Signal.................3. Variance of the Gray Value Temporal Distribution in Darkness... 5.3.5 Light Induced Variance of the Temporal Distribution of Gray Values 6.3.6 Light Induced Mean Gray Value.................... 7.3.7 Dark Current Versus Housing Temperature............. 8 5 Characterizing Total and Spatial Noise 9 5.1 Basic Parameters................................ 9 5.1.1 Spatial Offset Noise.......................... 9 5.1. Spatial Gain Noise........................... 3 5. Raw Measurement Data............................ 31 5..1 Standard Deviation of the Spatial Dark Noise............ 31 5.. Light Induced Standard Deviation of the Spatial Noise....... 3 Bibliography 33 Basler ral8-8km 5

CONTENTS 6 Basler ral8-8km

1 Overview 1 Overview Basler ral8-8km Item Symbol Typ. 1 Unit Remarks Temporal Noise Parameters Total Quantum Efficiency (QE) η % λ = 55 nm Inverse of Overall System Gain 1 K 6. e DN Temporal Dark Noise σ d 9 e Saturation Capacity µ e.sat 9 e Derived Parameters Absolute Sensitivity Threshold µ p.min 1 p λ = 55 nm Dynamic Range DYN out.bit 11.5 bit Maximum SNR SNR y.max.bit 7.3 bit Spatial Noise Parameters SNR y.max.db. db Item Symbol Typ. Unit Remarks Spatial Offset Noise, DSNU 188 σ o.3 e Spatial Gain Noise, PRNU 188 S g. % Table 1: Most Important Specification Data Operating Point Item Symbol Remarks Video output format 1 bits/pixel(mono16) Gain Register raw 56 Offset Register raw 3 Exposure time T exp. µs to 3.6 ms Table : Operating Point for the Camera Used 1 The unit e is used in this document as a statistically measured quantity. Basler ral8-8km 7

Introduction Introduction This measurement protocol describes the specification of Basler ral8-8km cameras. The measurement methods conform to the 188 EMVA Standard, the Standard for Characterization and Presentation of Specification Data for Image Sensors and Cameras (Release A1.3) of the European Machine Vision Association (EMVA) [1]. The most important specification data for Basler ral8-8km cameras is summarized in table 1. 8 Basler ral8-8km

3 Basic Information 3 Basic Information Basic Information Vendor Basler Model ral8-8km Type of data presented Typical Number of samples 1 Sensor Awaiba DR-k-7 Linear Sensor type CMOS Sensor diagonal Indication of lens category to be used F-Mount Resolution 8 pixel Pixel width 7. µm Pixel height 7. µm Readout type Transfer type Shutter type - Overlap capabilities Maximum readout rate 8. khz General conventions - Interface type Camera Link Table 3: Basic Information Basler ral8-8km 9

3.1 Illumination 3.1 Illumination 3.1.1 Illumination Setup for the Basler Camera Test Tool The illumination during the testing on each camera was fixed. The drift in the illumination over a long period of time and after the lamp is changed is measured by a reference Basler A6fc camera. The reference camera provides an intensity factor that was used to calculate the irradiance for each camera measurement. Light Source Item Symbol Typ. Unit Remarks Wavelength λ 55 nm Wavelength Variation λ 5 nm Distance sensor to light source d 8 mm Diameter of the light source D 35 mm f-number f # 8 f # = d D Table : Light Source 3.1. Measurement of the Irradiance The irradiance was measured using an IL17 Radiometer from International Light Inc. (Detector: SEL33 #685; Input optic: W #961; Filter: F #187; regular calibration). The accuracy of the Radiometer is specified as ±3.5%. The measured irradiance is plotted in figure 1..5 'ral8-8km' (1 cameras), Irradiance Irradiance [W/m^]..15.1.5. 1 3 Measurement Figure 1: Irradiance for Each Camera Measurement. The error for each calculated value using the amount of light falling on the sensor is dependent on the accuracy of the irradiance measurement. 1 Basler ral8-8km

Characterizing Temporal Noise and Sensitivity Characterizing Temporal Noise and Sensitivity.1 Basic Parameters.1.1 Total Quantum Efficiency Total Quantum Efficiency for One Fixed Wavelength Total quantum efficiency η(λ) in [%] for monochrome light at λ = 55 nm with a wavelength variation of λ = 5 nm. 5 'ral8-8km' (1 cameras), Quantum Efficiency Quantum Efficiency [%] 3 1 1 3 Camera Number 16 1 1 1 8 6 39 'ral8-8km' (1 cameras), Quantum Efficiency Histogram 1 3 Quantum Efficiency [%] Figure : Total Quantum Efficiency (QE) Item Symbol Typ. Std. Dev. Unit Remarks Total Quantum Efficiency (QE) η TBD % λ = 55 nm Table 5: Total Quantum Efficiency (QE) The main error in the total quantum efficiency η is related to the error in the measurement of the illumination as described in section 3.1. Basler ral8-8km 11

.1 Basic Parameters Total Quantum Efficiency Versus Wavelength of the Light Total quantum efficiency η(λ) in [%] for monochrome light versus wavelength of the light in [nm]. Not measured! 1 Basler ral8-8km

.1 Basic Parameters.1. Temporal Dark Noise Standard deviation of the temporal dark noise σ d time zero in [ e ]. referenced to electrons for exposure 'ral8-8km' (1 cameras), Std. Dev. Temporal Dark Noise Std. Dev. Temporal Dark Noise [e-] 1 8 6 1 3 Camera 1 'ral8-8km' (1 cameras), Std. Dev. Temporal Dark Noise Histogram 8 Number 6 8.5 8.6 8.7 8.8 8.9 Std. Dev. Temporal Dark Noise [e-] Figure 3: Temporal Dark Noise Item Symbol Typ. Std. Dev. Unit Remarks Temporal Dark Noise σ d 9.1 e Table 6: Temporal Dark Noise Basler ral8-8km 13

.1 Basic Parameters.1.3 Dark Current Dark current N d3 for a housing temperature of 3 C in [e /s]. Not measured!.1. Doubling Temperature Doubling temperature k d of the dark current in [ C]. Not measured! 1 Basler ral8-8km

.1 Basic Parameters.1.5 Inverse of Overall System Gain Inverse of overall system gain 1 K in [ e DN ]. Inverse of Overall System Gain [e-/dn] 7 6 5 3 1 'ral8-8km' (1 cameras), Inverse of Overall System gain 1 3 Camera Number 1 1 1 8 6 'ral8-8km' (1 cameras), Inverse of Overall System Gain Histogram 6. 6. 6. 6.6 Inverse of Overall System Gain [e-/dn] Figure : Inverse of Overall System Gain Item Symbol Typ. Std. Dev. Unit Remarks Inverse of Overall System Gain 1 K 6..5 Table 7: Inverse of Overall System Gain e DN Basler ral8-8km 15

.1 Basic Parameters.1.6 Inverse Photon Transfer 1 Inverse photon transfer in [ ] p ηk DN. 'ral8-8km' (1 cameras), Inverse Photon Transfer Inverse Photon Transfer [p~/dn] 16 1 8 1 3 Camera Number 16 1 1 1 8 6 13.5 'ral8-8km' (1 cameras), Inverse Photon Transfer Histogram 1. 1.5 15. 15.5 16. 16.5 Inverse Photon Transfer [e-/dn] Figure 5: Inverse Photon Transfer Item Symbol Typ. Std. Dev. Unit Remarks Inverse Photon Transfer 1 ηk 1.8 TBD Table 8: Inverse Photon Transfer p DN λ = 55 nm 1 The main error in the inverse photon transfer is related to the error in the measurement of the illumination as described in section ηk 3.1. 16 Basler ral8-8km

.1 Basic Parameters.1.7 Saturation Capacity Saturation capacity µ e.sat referenced to electrons in [ e ]. 3 'ral8-8km' (1 cameras), Saturation Capacity Saturation Capacity [e-] 5 15 1 5 1 3 Camera 1 'ral8-8km' (1 cameras), Saturation Capacity Histogram 8 Number 6 35 5 5 55 6 65 Saturation Capacity [e-] Figure 6: Saturation Capacity Item Symbol Typ. Std. Dev. Unit Remarks Saturation Capacity µ e.sat 9 99 e Table 9: Saturation Capacity Basler ral8-8km 17

. Derived Data. Derived Data..1 Absolute Sensitivity Threshold Absolute sensitivity threshold µ p.min (λ) in [ p ] for monochrome light versus wavelength of the light in [nm]. µ p.min = σ d (1) η 'ral8-8km' (1 cameras), Absolute Sensitivity Threshold Absolute Sensitivity Threshold [p~] 5 15 1 5 1 3 Camera 'ral8-8km' (1 cameras), Absolute Sensitivity Threshold Histogram 15 Number 1 5 19.5..5 1. 1.5. Absolute Sensitivity Threshold [p~] Figure 7: Absolute Sensitivity Threshold Item Symbol Typ. Std. Dev. Unit Remarks Absolute Sensitivity Threshold µ p.min 1 TBD p λ = 55 nm Table 1: Absolute Sensitivity Threshold 18 Basler ral8-8km

. Derived Data.. Signal-to-noise Ratio Signal-to-noise ratio SNR y (µ p ) is plotted versus number of photons µ p collected in a pixel during exposure time in [p ] for monochrome light with the wavelength λ given in [ nm]. The wavelength should be near the maximum of the quantum efficiency. A : SNR y = µ y µ y.dark σ y () B : SNR y = ηµ p (ηµp + σ d ) (3) Figure 8 shows the signal-to-noise ratio SNR y for monochrome light with the wavelength λ = 55 nm. 8 'ral8-8km' (1 cameras), SNR SNR [bit] 6 A B 6 8 1 1 1 16 Mean Photon [bit] Figure 8: Signal-to-noise Ratio The maximum achievable image quality is given as SNR y.max. SNR y.max = µ e.sat () SNR y.max.bit = ld SNR y.max = log SNR y.max log (5) SNR y.max.db = log SNR y.max 6. SNR y.max.bit (6) Basler ral8-8km 19

. Derived Data 'ral8-8km' (1 cameras), SNR SNR 1 6 1 6 1 1 1 1 1 1 3 1 1 5 Mean Photon [Photons/pixel] A B Figure 9: Signal-to-noise Ratio Item Symbol Typ. Std. Dev. Unit Remarks Maximum achievable SNR [bit] SNR y.max.bit 7.3.3 bit Table 11: Maximum achievable SNR [bit] Item Symbol Typ. Std. Dev. Unit Remarks Maximum achievable SNR [db] SNR y.max.db..17 db Table 1: Maximum achievable SNR [db] Basler ral8-8km

. Derived Data..3 Dynamic Range Dynamic range DYN out.bit in [ bit]. DYN out = µ e.sat σ d (7) DYN out.bit = log (DYN out ) (8) 'ral8-8km' (1 cameras), Output Dynamic Range 1 Output Dynamic Range [bit] 1 8 6 1 3 Camera 'ral8-8km' (1 cameras), Output Dynamic Range Histogram 1 8 Number 6 11. 11.5 11.5 11.55 Output Dynamic Range [bit] Figure 1: Output Dynamic Range Item Symbol Typ. Std. Dev. Unit Remarks Output Dynamic Range DYN out.bit 11.5.6 bit Table 13: Output Dynamic Range Basler ral8-8km 1

.3 Raw Measurement Data.3 Raw Measurement Data.3.1 Mean Gray Value Mean gray value µ y (µ p ) in [DN] is plotted versus number of photons µ p in [p ] collected in a pixel during exposure time. Mean Gray Value Bright [DN] 5 3 1 'ral8-8km' (1 cameras), Mean Gray Value Bright 6 Mean Photon [Photons/pixel] Figure 11: Mean Gray Values of the Cameras with Illuminated Pixels Basler ral8-8km

.3 Raw Measurement Data.3. Variance of the Temporal Distribution of Gray Values The variance of the temporal distribution of gray values σ y.temp(µ p ) in [DN ] is plotted versus number of photons µ p in [p ] collected in a pixel during exposure time. Variance Gray Value Bright [DN^] 7 6 5 3 1 'ral8-8km' (1 cameras), Variance Gray Value Bright 6 Mean Photon [Photons/pixel] Figure 1: Variance Values for the Temporal Distribution of Gray Values with Illuminated Pixels Saturation Capacity The saturation point is defined as the maximum of the curve in figure 1. The abscissa of the maximum point is the number of photons µ p.sat where the camera saturates. The saturation capacity µ e.sat in electrons is computed according to the mathematical model as: µ e.sat = ηµ p.sat (9) Basler ral8-8km 3

.3 Raw Measurement Data.3.3 Mean of the Gray Values Dark Signal Mean of the gray values dark signal µ y.dark (T exp ) in [DN] time in [s]. is plotted versus exposure 'ral8-8km' (1 cameras), Mean Gray Value Dark 35 Mean Gray Value Dark [DN] 3 5 15 1 5..5 1. 1.5..5 3. 3.5 Exposure Time [ms] Figure 13: Mean Gray Values for the Cameras in Darkness Basler ral8-8km

.3 Raw Measurement Data.3. Variance of the Gray Value Temporal Distribution in Darkness The variance of the temporal distribution of gray values in darkness σ y.temp.dark(t exp ) in [DN ] is plotted versus exposure time T exp in [s]. 'ral8-8km' (1 cameras), Variance Gray Value Dark Variance Gray Value Dark [DN^] 3..5. 1.5 1..5...5 1. 1.5..5 3. 3.5 Exposure Time [ms] Figure 1: Variance Values for the Temporal Distribution of Gray Values in Darkness Temporal Dark Noise The dark noise for exposure time zero is found as the offset of the linear correspondence in figure 1. Match a line (with offset) to the linear part of the data in the diagram. The dark noise for exposure time zero σd is found as the offset of the line divided by the square of the overall system gain K. σ d = σ y.temp.dark (T exp = ) K (1) Basler ral8-8km 5

.3 Raw Measurement Data.3.5 Light Induced Variance of the Temporal Distribution of Gray Values The light induced variance of the temporal distribution of gray values in [DN ] is plotted versus light induced mean gray value in [DN]. Variance Gray Value (Bright - Dark) [DN^] 5 3 1 'ral8-8km' (1 cameras), Diff. Variance vs Diff. Mean Gray Value 5 1 15 Mean Gray Value (Bright - Dark) [DN] Figure 15: Light Induced Variance of the Temporal Distribution of Gray Values Versus Light Induced Mean Gray Value The overall system gain K is computed according to the math- Overall System Gain ematical model as: K = σ y.temp σ y.temp.dark µ y µ y.dark (11) which describes the linear correspondence in figure 15. Match a line starting at the origin to the linear part of the data in this diagram. The slope of this line is the overall system gain K. 6 Basler ral8-8km

.3 Raw Measurement Data.3.6 Light Induced Mean Gray Value The light induced mean gray value µ y µ y.dark in [ DN] is plotted versus the number of photons collected in a pixel during exposure time Kµ p in [ p ]. Mean Gray Value (Bright - Dark) [DN] 5 15 1 5 'ral8-8km' (1 cameras), Difference Mean Gray Value 1 3 Mean Photon [Photons/pixel] Figure 16: Light Induced Mean Gray Value Versus the Number of Photons Total Quantum Efficiency The total quantum efficiency η is computed according to the mathematical model as: η = µ y µ y.dark (1) Kµ p which describes the linear correspondence in figure 16. Match a line starting at the origin to the linear part of the data in this diagram. The slope of this line divided by the overall system gain K yields the total quantum efficiency η. The number of photons µ p is calculated using the model for monochrome light. The number of photons Φ p collected in the geometric pixel per unit exposure time [p /s] is given by: Φ p = EAλ (13) hc with the irradiance E on the sensor surface [W/m ], the area A of the (geometrical) pixel [m ], the wavelength λ of light [m], the Planck s constant h 6.63 1 3 Js, and the speed of light c 3 1 8 m/s. The number of photons can be calculated by: µ p = Φ p T exp (1) during the exposure time T exp. Using equation 1 and the number of photons µ p, the total quantum efficiency η can be calculated as: η = hc 1 AT exp E 1 λ µ p µ y.dark. (15) K Basler ral8-8km 7

.3 Raw Measurement Data.3.7 Dark Current Versus Housing Temperature The logarithm to the base of the dark current in [e /s] versus deviation of the housing temperature from 3 C in [ C] Not measured! 8 Basler ral8-8km

5 Characterizing Total and Spatial Noise 5 Characterizing Total and Spatial Noise 5.1 Basic Parameters 5.1.1 Spatial Offset Noise Standard deviation of the spatial offset noise σ o referenced to electrons in [ e ]. 5 'ral8-8km' (1 cameras), DSNU188 DSNU188 [e-] 3 1 1 3 Camera 1 'ral8-8km' (1 cameras), DSNU188 Histogram 1 Number 8 6.1..3..5.6 DSNU188 [e-] Figure 17: Spatial Offset Noise ( DSNU 188 ) Item Symbol Typ. Std. Dev. Unit Remarks Spatial Offset Noise ( DSNU 188 ) σ o.3.1 e Table 1: Spatial Offset Noise ( DSNU 188 ) Basler ral8-8km 9

5.1 Basic Parameters 5.1. Spatial Gain Noise Standard deviation of the spatial gain noise S g in [ %]..3 'ral8-8km' (1 cameras), PRNU188.5 PRNU188 [%]..15.1.5. 1 3 Camera 3 'ral8-8km' (1 cameras), PRNU188 Histogram 5 Number 15 1 5..5.5.55.6.65.7 PRNU188 [%] Figure 18: Spatial Gain Noise ( PRNU 188 ) Item Symbol Typ. Std. Dev. Unit Remarks Spatial Gain Noise ( PRNU 188 ) S g.. % Table 15: Spatial Gain Noise ( PRNU 188 ) 3 Basler ral8-8km

5. Raw Measurement Data 5. Raw Measurement Data 5..1 Standard Deviation of the Spatial Dark Noise Standard deviation of the spatial dark noise in [DN] versus exposure time in [s]. Spatial Std. Dev. Gray Value Dark [DN].8.6.... 'ral8-8km' (1 cameras), Spatial Std. Dev. Gray Value Dark.5 1. 1.5 Exposure Time [ms] Figure 19: Standard Deviation of the Spatial Dark Noise From the mathematical model, it follows that the variance of the spatial offset noise σ o should be constant and not dependent on the exposure time. Check that the data in the figure 19 forms a flat line. Compute the mean of the values in the diagram. The mean divided by the conversion gain K gives the standard deviation of the spatial offset noise σ o. DSNU 188 = σ o = σ y.spat.dark K The square of the result equals the variance of the spatial offset noise σo. (16) Basler ral8-8km 31

5. Raw Measurement Data 5.. Light Induced Standard Deviation of the Spatial Noise Light induced standard deviation of the spatial noise in [DN] versus light induced mean of gray values [DN]. Std. Dev. Gray Value (Bright - Dark) [DN] 6 5 3 1 'ral8-8km' (1 cameras), Spatial Gain Noise 5 1 15 Mean Gray Value (Bright - Dark) [DN] Figure : Light Induced Standard Deviation of the Spatial Noise The variance coefficient of the spatial gain noise Sg or its standard deviation value S g respectively, is computed according to the mathematical model as: PRNU 188 = S g = σ y.spat σ y.spat.dark µ y µ y.dark, (17) which describes the linear correspondence in figure. Match a line through the origin to the linear part of the data. The line s slope equals the standard deviation value of the spatial gain noise S g. 3 Basler ral8-8km

REFERENCES References [1] EUROPEAN MACHINE VISION ASSOCIATION (EMVA): EMVA Standard 188 - Standard for Characterization and Presentation of Specification Data for Image Sensors and Cameras (Release A1.3). 6 Basler ral8-8km 33

Basler AG An der Strusbek 6-6 D-96 Ahrensburg To whom it may concern Appendix Measurement protocol - Basler racer Camera Series 1) Deviation in Quantum Efficiency ) Photo Response Non Uniformity Ahrensburg, October, 13 phone: +9 1 63 8 fax: +9 1 6 8 marc.nehmke@baslerweb.com Dear Sir or Madam, Please note that the current EMVA Standard 188 camera calculation model does not fit exactly the most recent technological advance as e.g. realized in the latest CMOS sensors. The quantum efficiency information given in this camera measurement protocol was calculated assuming the current EMVA Standard 188 regulations. However, the quantum efficiency information (see below) reported by the sensor manufacturer for the sensors used in the Basler racer camera series differs from the quantum efficiency information given in this camera specification.

Furthermore, please note that the Photo Response Non Uniformity (PRNU) information given in this report refers to the use of shading compensation for a specific operating point. Independent evaluations of series cameras using the cameras default shading settings confirmed a PRNU of.5% on average. Best regards Marc Oliver Nehmke, Product Manager