ISO 15739:2017

INTERNATIONAL ISO
STANDARD 15739
Third edition
2017-05
Photography — Electronic still-picture
imaging — Noise measurements
Photographie — Imagerie des prises de vue électroniques —
Mesurages du bruit
Reference number
©
ISO 2017
© ISO 2017, Published in Switzerland
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ii © ISO 2017 – All rights reserved

Contents Page
Foreword .iv
Introduction .v
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Test conditions . 3
4.1 General . 3
4.2 Illumination . 3
4.2.1 Characteristics . 3
4.2.2 Daylight illumination. 3
4.2.3 Tungsten illumination . 3
4.2.4 Uniformity of illumination and reflection test chart illumination geometry . 4
4.2.5 Light source amplitude variations . 4
4.3 Temperature and relative humidity . 4
4.4 White balance. 4
4.5 Infrared (IR) blocking filter. 4
4.6 Photosite integration time . 4
4.7 Colour noise weighting . 4
4.8 Compression . 5
5 Noise measurement procedures . 5
5.1 General . 5
5.1.1 Uniform field noise measurement methods . . 5
5.1.2 Test densities . 5
5.1.3 Adjustment of illumination, test density placement and camera lens focus. 6
5.2 Measurement of a DSC having a removable lens . 6
5.3 Measurement of a DSC having manual exposure control . 7
5.4 Measurement of a DSC using a test chart . 7
6 Calculation and reporting of results . 9
6.1 General . 9
6.2 Signal-to-noise ratios — large area . 9
6.3 DSC dynamic range .12
Annex A (normative) Noise component analysis .14
Annex B (normative) Visual noise measurements .18
Annex C (informative) Removing low frequency variations from the image data .27
Annex D (informative) Procedure for determining signal-to-noise ratio .29
Annex E (informative) Practical viewing conditions for various output media .30
Bibliography .31
Foreword
ISO (the International Organization for Standardization) is a worldwide federation of national standards
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electrotechnical standardization.
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described in the ISO/IEC Directives, Part 1. In particular, the different approval criteria needed for the
different types of ISO documents should be noted. This document was drafted in accordance with the
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URL: w w w . i s o .org/ iso/ foreword .html.
This document was prepared by Technical Committee ISO/TC 42, Photography.
This third edition cancels and replaces the second edition (ISO 15739:2013), of which it constitutes a
minor revision with the addition of IEC 61966-2–1:1999 to Clause 2 and changes in Annex B.
iv © ISO 2017 – All rights reserved

Introduction
Noise is an important attribute of electronic photographic systems. Camera noise measurements
described in this document are performed in the digital domain, using digital analysis techniques.
Since the noise performance of an image sensor may vary significantly with exposure time and
operating temperature, these operating conditions are specified. The visibility of noise to human
observers depends on the magnitude of the noise, the apparent tone of the area containing the noise
and the spatial frequency of the noise. The magnitude of the noise present in an output representation
depends on the noise present in the stored image data and the contrast amplification or gain applied to
the data in producing the output. The noise visibility is different for the luminance (or monochrome)
channel and the colour (or colour difference) channels. Therefore, this document accounts for these
factors in measuring and reporting the camera noise measurements. Annex A specifies the method for
determining the components of the digital camera noise from a number of samples. The perceptibility
of noise in an image can vary depending on the viewing distance, spatial frequency, density, colour
and viewing conditions. Annex B describes a procedure for measuring the visual noise level using a
human visual model as a method for weighting the spectral components of the noise. A method for
removing low frequency variations in the patch data resulting, for example, from luminance shading is
given in Annex C. A recommended step-by-step procedure for determining the signal-to-noise ratio and
incremental gain is provided in Annex D. In Annex E, recommendations for practical viewing conditions
for various output media are given.
INTERNATIONAL STANDARD ISO 15739:2017(E)
Photography — Electronic still-picture imaging — Noise
measurements
1 Scope
This document specifies methods for measuring and reporting the noise versus signal level and dynamic
range of digital still cameras. It applies to both monochrome and colour electronic digital still cameras.
2 Normative references
The following documents are referred to in the text in such a way that some or all of their content
constitutes requirements of this document. For dated references, only the edition cited applies. For
undated references, the latest edition of the referenced document (including any amendments) applies.
ISO 554, Standard atmospheres for conditioning and/or testing — Specifications
ISO 7589:2002, Photography — Illuminants for sensitometry — Specifications for daylight, incandescent
tungsten and printer
ISO 12232:2006, Photography — Digital still cameras — Determination of exposure index, ISO speed
ratings, standard output sensitivity, and recommended exposure index
ISO 14524:2009, Photography — Electronic still-picture cameras — Methods for measuring opto-electronic
conversion functions (OECFs)
ITU-R BT.709-5, Parameter values for the HDTV Standards for production and International programme
exchange
IEC 61966-2–1:1999, Multimedia systems and equipment — Colour measurement and management – Part
2-1: Colour management — Default RGB colour space — sRGB
3 Terms and definitions
For the purposes of this document, the following terms and definitions apply.
ISO and IEC maintain terminological databases for use in standardization at the following addresses:
— IEC Electropedia: available at http:// www .electropedia .org/
— ISO Online browsing platform: available at http:// www .iso .org/ obp
3.1
camera opto-electronic conversion function
camera OECF
relationship between the input scene log luminances and the pixel values for an opto-electronic digital
capture system
2.
Note 1 to entry: The unit of measurement for this function are log cd/m
3.2
clipping value
pixel value that remains constant for further increases in exposure (highlight clipping value) or for
further decreases in exposure (dark clipping value)
3.3
digital still camera
DSC
camera that produces a digital still image from the digitized output of a solid-state photo sensor and
records the digital still image using a digital memory, such as a removable memory card
3.4
image sensor
electronic device which converts incident electromagnetic radiation into an electronic signal
Note 1 to entry: A charge coupled device (CCD) array is an example of an image sensor.
3.5
incremental gain function
incremental gain
change in the pixel values of the DSC divided by the change in the exposure values
Note 1 to entry: For the determination of incremental gain values, log input values are not used.
Note 2 to entry: If the input exposure points are very finely spaced and the output noise is small compared to
the quantization interval, the incremental gain function can have a jagged shape. Such behaviour is an artefact
of the quantization process and is removed by using an appropriate smoothing algorithm, or by fitting a smooth
curve to the data. In some cases, it may be desirable to fit a curve to the input-output data and then determine the
incremental gain function by taking the first derivative of the function used for the curve fit.
3.6
incremental output signal
exposure level multiplied by the incremental gain at that particular exposure level
3.7
incremental signal-to-noise ratio
ratio of the incremental output signal to the root mean square (rms) noise level, at a particular signal level
Note 1 to entry: This is typically expressed as a graph or table showing the incremental signal-to-noise ratio
versus input signal level for the full range of input signal levels.
3.8
DSC dynamic range
ratio of the maximum exposure level that provides a pixel value below the highlight clipping value to
the minimum exposure level that can be captured with an incremental signal-to-temporal-noise ratio
of at least 1, as determined in accordance with ISO 15739
3.9
noise
unwanted variations in the response of an imaging system
3.9.1
total noise
all the unwanted variations, consisting of pattern noise and temporal noise, of the values in the digitized
output captured by a single exposure
Note 1 to entry: The procedure in this document for calculating the total noise requires multiple frames.
3.9.2
fixed pattern noise
unwanted variations of the values in the digitized output which remain constant between exposures
3.9.3
temporally varying noise
unwanted variation in the values of the digitized output that changes from one exposure to the next
due to sensor dark current, photon shot noise, analogue processing and quantization
2 © ISO 2017 – All rights reserved

3.10
noise spectrum
curve or equation which expresses the image noise as a function of two-dimensional image spatial
frequencies
3.11
focal plane opto-electronic conversion function
focal plane OECF
relationship between the input focal plane log exposures and the output pixel values for an opto-
electronic digital image capture system
Note 1 to entry: The units of measurement for this function are log lux seconds.
3.12
exposure time
total time period during which the photo sensor is able to integrate the light from the scene to form
an image
3.13
test density
spectrally non-selective transmittance filter used to reduce an input luminance to a predefined ratio of
the unfiltered luminance
4 Test conditions
4.1 General
The following measurement conditions should be used as nominal conditions when measuring the
noise of a DSC. If it is not possible or appropriate to achieve these nominal operating conditions, the
actual operating conditions shall be listed along with the reported results.
4.2 Illumination
4.2.1 Characteristics
The noise measurements shall indicate whether illumination conforming to the standard photographic
daylight or tungsten illuminant was used. ISO 7589 describes the procedures for determining if the
characteristics of the illumination used in a specific noise determination test are an acceptable match
to the standard photographic daylight and tungsten illuminants.
4.2.2 Daylight illumination
For daylight measurements without the camera lens, illumination conforming to the ISO sensitometric
daylight illuminant specified in ISO 7589:2002, Table 1 shall be used. This illuminant is defined as the
product of the spectral power distribution of CIE Illuminant D55 and the spectral transmittance of the
ISO standard camera lens. For measurements with the camera lens in place, the spectral characteristics
of the illumination shall conform to CIE illuminant D55.
4.2.3 Tungsten illumination
For tungsten measurements without the camera lens, illumination conforming to the ISO sensitometric
tungsten illuminant specified in ISO 7589:2002, Table 2 shall be used. This illuminant is defined as the
product of the average spectral power distribution of experimentally measured sources having a colour
temperature of approximately 3 050 K and the spectral transmittance of the ISO standard camera
lens. For measurements with the camera lens in place, the spectral characteristics of the illumination
shall conform to the average spectral power distribution of experimentally measured sources having a
colour temperature of approximately 3 050 K.
4.2.4 Uniformity of illumination and reflection test chart illumination geometry
The illumination should meet the uniformity requirements of the measurement procedures described
in Clause 5. For reflection test charts, the sources are positioned so that the angular distribution of
influx radiation is at its maximum at 45° to the test chart normal, and is negligible at angles of less than
40° or more than 50° to the normal, at any point on the test chart.
Additional shielding of the camera may be necessary to prevent stray illumination from the light
sources, or from other reflections, entering the camera lens. The illuminance incident on reflection
charts, or the luminance used to illuminate transmission charts, shall not vary by more than 2 % from
the mean value over the surface area of the chart as defined in ISO 14524.
NOTE In particular, if a transmissive chart is used, light from the chart can reflect off the camera or camera
operator back to the surface of the chart and be imaged by the camera. Such reflections need to be avoided. This
can be accomplished by shrouding the camera with black cloth and having the operator stand in a position that
avoids such reflections.
4.2.5 Light source amplitude variations
The light source shall be fixed-level with combined short-term and supply amplitude variations of less
than ± 2 %.
4.3 Temperature and relative humidity
The ambient room temperature during the acquisition of the test data shall be 23 °C ± 2 °C, as specified
in ISO 554, and the relative humidity shall be 50 % ± 20 %. Additional measurements at 0 °C and 40 °C
are recommended. The normal camera operating temperature (internal rise above ambient) shall
be achieved before beginning the tests. If the ambient temperature varies throughout the room, for
example as a result of heat generated by light sources, the ambient room temperature shall be measured
at a distance of between 0,1 m and 0,2 m from the camera under test at the same height.
4.4 White balance
For a colour camera, the camera white balance shall be adjusted, if possible, to provide proper white
balance (equal RGB signal levels) for the illumination light source, as specified in ISO 14524.
4.5 Infrared (IR) blocking filter
If required, an infrared blocking filter shall be used, as specified in ISO 14524.
4.6 Photosite integration time
The photosite integration time should not be longer than 1/30 s.
4.7 Colour noise weighting
For colour cameras using a single exposure process, the camera noise may be determined using a
weighted sum of the colour outputs to derive the luminance. If the proper luminance weighting values for
the RGB channel spectral sensitivities are known, they shall be used to calculate the luminance channel
data. If these values are not known, the following weighting, given in ITU-R BT.709, shall be used:
Y = 0,212 5 R + 0,715 4 G + 0,072 1 B (1)
For colour cameras with luminance and colour-difference outputs, the standard deviation of the camera
noise may be computed from the luminance channel standard deviation σ (Y), the red minus luminance
4 © ISO 2017 – All rights reserved

channel standard deviation σ (R-Y) and the blue minus luminance channel standard deviation σ (B-Y).
Formula (2), as specified in ISO 12232:2006, 6.3.3, shall be used:
2 2 2 1/2
σ (D) = [σ (Y) + 0,279 σ (R-Y) + 0,088 σ (B-Y) ] (2)
NOTE The coefficients of the chrominance variances, σ (R-Y) and σ (B-Y), in Formula (2) were updated
in this document due to new coefficients being introduced in ISO 12232. The revision of the coefficients was
necessary due to a revised experimental procedure that indicated that the original values for the coefficients
[4]
overemphasized the contribution of chrominance noise to perception .
4.8 Compression
If the DSC includes any form of lossy compression, the compression shall be disabled, if possible, during
the noise measurements. If the compression cannot be turned off, then measurements should be taken
and the compression level reported with the noise measurement result, for example, the actual camera
switch setting (fine, standard, etc.) and the approximate average number of bits per pixel.
5 Noise measurement procedures
5.1 General
These measurement procedures shall be used to determine the noise, the midtone signal-to-noise ratio
and the dynamic range. The minimum requirement is to specify the midtone signal-to-total-noise ratio
and the dynamic range of the digital camera under test. In addition, the fixed pattern and temporal
noise components can be expressed individually. The measurement of visual noise defined in Annex B
shall not be performed and reported in place of the midtone signal-to-total noise ratio. It may, however,
be performed and reported together with the midtone signal-to-total-noise ratio.
NOTE The noise measurement procedures described in this document are intended to measure the temporal
and fixed pattern noise standard deviations spatially over the image. They do not take into account the variation
in the mean pixel value between individual frames captured by a DSC. This type of frame to frame variation in
mean pixel value can be introduced due to changes in ambient temperature, camera power supply or lighting
flicker. The illumination and temperature requirements specified in the standard will minimize these variations.
If it is required to include the effects of frame to frame variations in the calculation of temporal noise standard
deviation then the standard deviation of individual pixel values needs to be calculated across multiple frames.
5.1.1 Uniform field noise measurement methods
The method of measuring the uniform field noise will be dependent on the type of camera and its
level of exposure automation. If the camera lens can be removed, then the sensor noise level can be
measured without any shading effects from the lens. The noise measurement procedures for DSCs
having removable lenses or manual exposure control are described in 5.2 and 5.3, respectively.
On automatic exposure cameras having through-the-lens (TTL) exposure control and no manual exposure
control override capability, the test chart and measurement methods described in 5.4 shall be used.
5.1.2 Test densities
For the noise measurement procedures described in 5.2 and 5.3, a set of test densities shall be used to
provide signal levels to determine the camera OECF. The densities should correspond to the densities
of the patches from a test chart specified in ISO 14524. The density of the lightest patch shall provide
a signal level that is at or above the maximum unclipped level from the camera. The density of the
darkest patch should be greater than or equal to 2,0. If the density of the darkest patch is less than 2,0,
then a test density of 2,0 (1 % transmittance) shall be used to provide a “black reference” signal level to
determine the camera dynamic range.
5.1.3 Adjustment of illumination, test density placement and camera lens focus
The light source and diffuser (where applicable) shall be adjusted to give the maximum unclipped level
from the camera. If necessary, an appropriate neutral density filter should be used to cover the camera
exposure control sensor in order to adjust the signal level to provide the maximum unclipped level
from the camera. In some circumstances, it may not be possible to reach the maximum unclipped level
due to the limitations in the resolution of the exposure adjustment or in the light source used. In this
case, expose the uniform field in such a way that the exposure is increased by the smallest possible step
from the exposure leading to the maximum unclipped level so that the output signal is “just clipped”.
Test densities (when used) shall completely cover the area exposed, when the camera lens is removed.
If the camera lens focus is adjustable, it shall be set to infinity.
5.2 Measurement of a DSC having a removable lens
5.2.1 General
This method involves the exposure of the DSC sensor directly to specific quantities of uniform
illumination with the lens removed. The illumination shall have the spectral characteristics specified
in 4.2 and shall be produced by a small source at a distance, such that the largest dimensions of the
source and the sensor are no greater than one twentieth of the distance between them, as shown in
Figure 1. Reflective surfaces shall not be placed where they could cause additional illumination to be
incident on the sensor.
Key
1 light source
2 test density
3 camera under test
4 lens removed
5 digital image sensor
Figure 1 — Illumination for cameras with removable lenses
5.2.2 The focal plane OECF shall be measured according to ISO 14524.
6 © ISO 2017 – All rights reserved

5.3 Measurement of a DSC having manual exposure control
5.3.1 General
These measurements shall be used for all cameras that use manual exposure control, or exposure
control based on a separate exposure control sensor.
5.3.2 The camera OECF shall be measured according to ISO 14524.
5.3.3 The diffuser shall be uniform and close to the camera, preferably less than one tenth of the
minimum focus distance of the camera under test, to prevent diffuser blemishes from influencing
the noise measurements. The diffuser may be illuminated by either transmissive or reflective light
(see Figure 2).
Key
1 transmissive uniform fixed level light source
2 reflective uniform fixed level light source
3 diffuser
4 test density
5 camera lens
6 camera under test
7 camera exposure control sensor
8 digital image sensor
Figure 2 — Uniform field noise measurements
5.4 Measurement of a DSC using a test chart
5.4.1 General
These measurements shall be used for TTL automatic exposure cameras having no manual exposure
control override.
5.4.2 The camera OECF shall first be measured in accordance with ISO 14524.
5.4.3 For a camera that generates 8-bit per channel sRGB encoded signals, as defined in IEC 61966-
2–1, the light source should be adjusted to give a pixel value equal to 118 from the background of the
centre portion of the OECF test chart defined in ISO 14524. The test chart background shall be rendered
to a pixel value of not less than 110 and not greater than 130.
If the camera is unable to deliver a pixel value in the range specified above, for example due to automatic
exposure control, then the transmittance (or reflectance) of the central portion of the OECF may be
varied. For a transmissive chart, the central portion of the chart may be replaced by a neutral density
(ND) filter. For a reflective chart, an ND reflectance patch can be placed over the central portion of
the chart. The transmittance (reflectance) of the filter (patch) is initially selected to approximate the
transmittance (reflectance) of the chart background. If the chart background level exceeds 130, a lower
density ND filter (higher reflectance patch) is selected. The automatic exposure control system of the
camera will select a lower exposure level to compensate for the increase in light from the chart. This
will result in a lower chart background level. Note that the chart background level is measured from
the original background area of the test chart and not from the replacement ND filter. If the camera
is still unable to deliver a pixel value in the specified range, then it shall be reported that the camera
was unable to deliver the required test chart level and the pixel value of the chart background that was
delivered shall be reported.
For a camera that generates signals in other colour encodings, the light source should be adjusted to
give an output pixel value equal to the encoding values that correspond to a perceptual midtone for the
background of the OECF test chart. The perceptual midtone value achieved should be reported.
NOTE If the digital camera uses a separate camera exposure control sensor, as shown in Figure 2, an
appropriate neutral density filter can be used to cover the camera exposure control sensor, in order to adjust the
chart background signal to the required level.
5.4.4 The test chart shall be a Camera OECF test chart conformant with ISO 14524. The test chart can
be either transmissive or reflective (see Figure 3). The chart shall have sufficient density range so that
the lightest patch is at or above the camera highlight clipping level when the test chart background is
at the required encoding value. In most cases, this requires a high-contrast transparent chart and back
illumination. A high-contrast transmissive 20 patch OECF test chart with a contrast ratio of 10,000:1 is
recommended.
5.4.5 Non-uniformity in the test chart density patches shall be less than one tenth of the expected
camera noise level, and any image structure spatial components shall be at a spatial frequency of at least
10 times higher than the camera limiting resolution. If the spatial components in the test chart have
frequencies that are less than this level, then either the chart size in the image shall be decreased to achieve
the required spatial frequencies, or the image of the target shall be defocused, so that the structure does
not affect the noise measurement results. Test chart manufacturers shall provide information about the
maximum limiting resolution a chart will support when the chart fills the camera frame.
5.4.6 The test target should be correctly focused by the camera under test. The target may be slightly
out of focus, if necessary, to fulfil the requirements of 5.4.5.
a) Test arrangement using a transmissive test chart
8 © ISO 2017 – All rights reserved

b) Test arrangement using a reflective test chart
Key
1 uniform fixed level light source
2 diffuser
3 test chart
4 camera under test
5 camera lens
6 45° uniform illumination
7 additional shielding
Figure 3 — Test chart noise measurements
6 Calculation and reporting of results
6.1 General
The measurements obtained using the noise measurement procedures defined in Clause 5 are converted
to reported noise values as follows:
— For the measurements made according to 5.2 and 5.3, a minimum of eight images shall be captured
for each exposure or test density, respectively. The mean pixel value and the rms noise level shall be
determined from an area of not less than 64 pixels × 64 pixels in the centre of each of the images.
— For the test chart case, a minimum of eight images shall be captured in a single session. The mean
pixel value and rms noise level shall be determined from an area of not less than 64 pixels × 64 pixels
in the centre of each of the patches of the test chart specified in ISO 14524.
6.2 Signal-to-noise ratios — large area
6.2.1 General
For the method described in 5.2, the signal-to-noise ratio is determined from data captured at an
exposure that is 13 % of the reference exposure. For the methods described in 5.3 and 5.4, the signal-
to-noise ratio is determined from data captured at a luminance that is 13 % of the reference luminance.
In methods 5.2 and 5.3, the exposure and luminance are varied respectively by using the densities
specified in 5.1.2. In method 5.4, the signal-to-noise ratio is determined by using the density patches on
the test chart specified in ISO 14524.
The total noise is converted to an input-referred incremental signal-to-noise ratio for the test density,
and reported as the DSC signal-to-noise ratio.
The method for determining the reference luminance and the luminance value at which the signal-
to-noise ratio is calculated is described in 6.2.2. In 6.2.6, the method for determining the reference
exposure and the exposure value at which the signal-to-noise ratio is calculated is summarized.
6.2.2 Determining the reference luminance and luminance value for calculating signal-to-
noise ratio
For the case where the camera OECF has been measured using methods 5.3 and 5.4, the reference
luminance shall be determined as the log luminance value corresponding to a pixel value of 245 on the
camera OECF curve. If necessary, an interpolation function may be used to determine the reference
luminance value. The above applies to camera systems that generate 8-bit sRGB signals as defined in
IEC 61966-2–1. For a camera that generates images in other colour encodings, the reference luminance
shall be determined as the log luminance value corresponding to a pixel value that is 91 % of the
linearized camera highlight clipping level. For example, in the ROMM colour encoding space, the log
luminance value is determined at the linear ROMM value equal to 91 % of 1,0 or 0,91. This corresponds
to an integer value of 3886 in the 12-bit nonlinear ROMM colour space.
Mathematically, the log luminance value that is the camera reference luminance is defined for 8-bit
sRGB signals as Formula (3):
−1
RS= I (3)
()
ref
I=245
where
R is the log luminance value at the reference luminance;
ref
−1
S is the inverse of the camera OECF curve, S;
I is the pixel value.
If the camera is a multi-spectral system, the reference luminance shall be determined from the channel
with the highest signal level.
EXAMPLE A camera system that creates 8-bit sRGB images results in a pixel value of 245 at input log
luminance values of 2,65, 2,56 and 2,61 for the red, green and blue channels, respectively. The reference
luminance is measured from the green channel because the pixel value of the green channel reaches 245 before
the red and blue channels. The reference luminance is equal to 2,56.
The total, fixed pattern and temporal signal-to-noise ratios are measured at the luminance value that is
13 % of the luminance at the reference luminance. This can be expressed as Formula (4):
LL=×01, 3 (4)
SNRref
where
L is the luminance at which the total, fixed pattern and temporal signal-to-noise ratios are
SNR
measured;
L is the inverse logarithm of the log luminance value at the reference luminance, R .
ref ref
Taking logarithms of both sides in Formula (4), Formula (5) is expressed as:
RR=+ log(,013) (5)
SNRref
where R = log(L ) and R = log(L ). Thus, on the camera OECF curve, the luminance at which the
SNR SNR ref ref
total, fixed pattern and temporal signal-to-noise ratio is measured may simply be determined as the log
luminance value that is |log(0,13)| below the reference luminance, R .
ref
10 © ISO 2017 – All rights reserved

6.2.3 Determining the signal-to-total noise ratio
The signal-to-total noise ratio, Q , is determined by Formula (6):
total
gL
SNRSNR
Q = (6)
total
σ
total
The incremental gain, g , is the first derivative of the OECF curve and, for the case of the camera
SNR
OECF, is determined at the log luminance value of R by the method in ISO 14524. The noise is
SNR.
calculated from the standard deviations with the precision defined by the digital resolution used for the
maximum digital encoding value. Where necessary, an interpolation function may be used to determine
an accurate estimate of signal-to-total noise ratio.
The average of the total noise, σ , is the average of the standard deviations of n samples of the total
total
noise and is given by Formula (7):
n
σσ= (7)
∑
totaltotal, j
n
j=1
6.2.4 Determining the fixed pattern signal-to-noise ratio
The fixed pattern signal-to-noise ratio is determined by averaging a minimum of eight exposures and
then applying a correction to determine the true level of the fixed pattern noise. The fixed pattern noise
is converted to an input-referred incremental signal-to-noise ratio for the test density, and reported as
the DSC fixed pattern signal-to-noise ratio.
The DSC fixed pattern signal-to-noise ratio, Q , is determined by:
fp
gL
SNRSNR
Q =
fp
σ
fp
The average of the fixed pattern noise is expressed in Formula (8):
σσ=− σ (8)
fp avediff
n−1
where
σ is the standard deviation of the fixed pattern noise;
fp
σ is the standard deviation of the pixel values of the average of n images;
ave
σ is the average standard deviation of the pixel values of all the differences of the average and
diff
the individual images that make up the average.
The average of the sum of all the different images is expressed in Formula (9):
n
σσ= (9)
∑
diff diff, j
n
j=1
where σ is the standard deviation of the pixel values of the difference of the average and the jth image.
diff,j
The derivation of Formulae (8) and (9) is shown in Annex A
6.2.5 Determining the temporal signal-to-noise ratio
The temporal signal-to-noise ratio is determined by measuring the standard deviation of the difference
of each image and the average image and applying a correction to determine the true level of the
temporal noise. The temporal noise is converted to an input referred incremental signal-to-noise ratio
for the test density, and reported as the DSC temporal signal-to-noise ratio.
The temporal signal-to-noise ratio, Q , is determined by:
temp
gL
SNRSNR
Q =
temp
σ
temp
The average of the temporal noise is expressed in Formula (10):
n
σσ= (10)
temp diff
n−1
where
σ is the standard deviation of the temporal noise;
temp
σ is the average standard deviation of the pixel values of all the differences of the average and
diff
the individual images that make up the average, shown in more detail in 6.2.4.
6.2.6 Determining the reference exposure and exposure value for calculating signal-to-noise ratio
For the case where the focal plane OECF has been measured using the method described in 5.2, the
reference exposure shall be determined as the log exposure value corresponding to a pixel value of
245 on the focal plane OECF curve. The term “luminance” shall be substituted for “exposure” and all
references to camera OECF shall be replaced by focal plane OECF. The method described in 6.2.2 to
6.2.5 shall be applied.
6.3 DSC dynamic range
The DSC dynamic range is reported as the ratio of the maximum unclipped input luminance level, L ,
sat
and the minimum input luminance level, L , with a signal-to-temporal noise-ratio of at least 1. The
min
dynamic range, D , is given by Formula (11):
R
L
sat
D = (11)
R
L
min
When black level clipping prevents the direct measurement of L , the minimum input luminance level
min
may be estimated by measuring the camera signal-to-temporal-noise ratio using a 2,0 density “black
reference” as expressed in Formula (12):
σ
temp,2
L = (12)
min
g
where σ is the black temporal noise measured with the test density of 2,0 and g is the incremental
temp,2 2
gain measured with the test density of 2,0.
NOTE As the incremental gain approaches zero, it becomes impossible to determine the incremental signal-
to-temporal noise ratio.
The black temporal noise is derived in a similar way to the temporal noise in 6.2.5, by measuring the
standard deviation of the difference of each image and the average image, and then applying a correction
to determine the true level of the temporal noise as expressed in Formula (13):
n
σσ= (13)
temp diff
n−1
12 © ISO 2017 – All rights reserved

where
σ is the standard deviation of the temporal noise;
temp
σ is the average standard deviation of the pixel values of all the differences of the average and
diff
the individual images that make up the average, shown in more detail in 6.2.4.
If possible, the minimum luminance level should be determined from a density that provides an
incremental signal-to-temporal noise ratio of 1. It is recommended that a transmissive chart with a
high dynamic range is used to determine DSC dynamic range. If the dynamic range of the test chart
used is not sufficiently high, then a transmittance equal to 0,01 of the clipping transmittance should be
used to determine the DSC dynamic range.
In addition to reporting DSC dynamic range as a ratio, dynamic range may also be reported as a
density range or in terms of f-stops. If reported as a density range, then DSC dynamic range is given in
Formula (14):
DL=−logl() og ()L        densities (14)
R,densitys10 at 10 min
If reported in terms of f-stops, then DSC dynamic range is given in Formula (15):
logl()LL− og ()
10 satm10 in
D =         f-stops (15)
R, f-stop
log (,20)
Annex A
(normative)
Noise component analysis
A.1 Object
A.1.1 General
The object of this analy
...