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CCD
基础知识
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Signal-to-noise ratio
Signal-to-noise ratio (SNR)
describes the quality of a measurement.
In CCD imaging, SNR refers
to the
relative magnitude of the signal compared to the
uncertainty in that signal on a per-pixel
basis. Specifically, it is the ratio of
the measured signal to the overall measured noise
(frame-to-frame) at that pixel. High
SNR is particularly important in applications
requiring precise
light measurement.
Photon noise
refers to the
inherent natural variation of the
incident photon flux
. Photoelectrons
collected by a CCD exhibit a
Poisson distribution
and
have a square root relationship between
signal and noise.
Read noise
refers to the
uncertainty i
ntroduced during the
process of
quantifying
the
electronic
signal on the
CCD
. The major component of readout
noise arises from the on-chip preamplifier. -
Dark noise
arises
from the statistical variation
of thermally generated electrons within the
silicon
layers comprising the
CCD.
Dark current describes the rate of
generation of thermal electrons at a
given CCD temperature. Dark noise,
which
also follows a Poisson
relationship, is the square root
of the
number of thermal electrons generated within a
given exposure
. Cooling the CCD from
room temperature to
-25
°
C will reduce dark
current by more than 100 times. In addition, many
scientific-grade CCDs employ MPP
technology to even further reduce dark current.
Taken together,
the SNR for a CCD camera can be calculated from
the following equation:
where:
I = Photon flux
(photons/pixel/second)
QE = Quantum
efficiency
t = Integration time
(seconds)
Nd = Dark current
(electrons/pixel/sec)
Nr = Read noise
(electrons)
Under low-
light-level conditions,
read noise
exceeds photon noise and the image data is said to
be
.
The
integration time can be increased until photon
noise exceeds both read
noise and dark
noise. At this point, the image data is said to be
.
An
alternative means of raising the SNR is to use a
technique known as
binning
.
Binning is the
process of combining
charge from adjacent pixels in a CCD during
readout into a single
photon-limited signal more
quickly, albeit at the expense of spatial
resolution.
Once you have determined
acceptable values for SNR, integration time, and
the degree to which
you are prepared to
bin pixels, the above equation can be solved for
the minimum photon flux
required. This
is, therefore, the lowest light level that can be
measured for given experimental
conditions and camera specifications.
Visual impact of increasing
SNR of a typical test pattern.
Binning
牺牲分辨率降低
read noise
Binning
is the process of
combining charge from adjacent pixels in a CCD
during readout. This
process is
performed prior to digitization in the on-chip
circuitry of the CCD by specialized
control of the serial and parallel
registers. The two primary benefits of binning are
improved
signal-to-noise ratio (SNR)
and the ability to increase frame rate, albeit at
the expense of reduced
spatial
resolution.
To understand the process,
consider the example of 2x2 binning shown below.
As in normal
operation, charge
integrates in individual pixels while the CCD is
exposed to light. During the
parallel
readout, the charge from two rows of pixels,
rather than a single row, is shifted into the
serial register. Next, charge is
shifted from the serial register, two pixels at a
time, into the
summing well. It then
goes to the output amplifier where it is converted
to a voltage before being
transferred
off-chip for further amplification and
digitization. This procedure is iterated until the
entire array has been read out. The
result is that each readout event from the summing
well
contains the collected charge from
four pixels on the CCD. It should be noted that
Photometrics
cameras have the ability
to perform binning into any arbitrary MxN binned
pixels (superpixels)
through simple
software control.
Since
both the serial register and summing well
accumulate charge from multiple pixels during
binning, they must have sufficient
capacity to prevent
saturation
. In high-
performance CCDs, the
serial register
typically has a charge capacity double that of the
parallel registers, and the summing
well double that of the serial
register. However, the specifications of the
particular CCD being
used should be
noted and understood before using the binning
technique. This is especially true
when
working at high-illumination levels where
saturation could lead to erroneous data
collection.
The primary benefit of
binning is higher SNR due to reduced read noise
contributions. CCD read
noise is added
during each readout event and in normal operation,
read noise will be added to each
pixel.
However, in binning mode, read noise is
added to each superpixel, which has the combined
signal from multiple pixels. In the
ideal case, this produces SNR improvement equal to
the
binning factors (4x in the above
example).
The figure below shows the
effect of 2x2 binning for a
four-pixel
region. This example assumes that 10
photoelectrons have been collected in each pixel
and the read noise is 10 electrons. If
this region is read out in normal mode the SNR
will be 1:1
and the signal will be lost
in the noise. However, with 2x2 binning, the SNR
becomes 4:1, which
is sufficient to
observe this weak signal.
Unlike read noise, dark current noise
is not reduced by binning since each pixel will
contribute
dark current noise to the
superpixel. To ensure that dark current noise does
not lower SNR during
binning, it is
essential that the CCD be cooled sufficiently to
reduce the dark current noise to a
negligible level relative to the read
noise.
One of the most common
applications of binning is spectroscopy. In
spectroscopic CCD systems,
the
dispersed slit images lie along the CCD columns
(perpendicular to the serial register) and the
resultant images are then binned along
the columns. Binning thus provides marked
increases in
SNR without any loss of
spectral resolution. Spatial resolution is lost
along the slit axis, but this
typically
is not a concern.
Another use of
binning is to increase frame rate. Since the
slowest step in the readout sequence is
the digitization of a given pixel,
binning can be used to increase the effective
total frame rate of a
given system.
Thus, highly binned, low-resolution images can be
obtained when high speed is
required
(such as in focusing) and full-frame, high-
resolution images can be obtained when the
ultimate resolution is required.
Because this can all be controlled via software,
Photometrics
digital cameras are
extremely flexible and can be used in a wide
variety of analytical imaging
applications.
Full Well
Capacity
Full well capacity
defines
the amount of charge an
individual pixel can hold before saturating.
Saturation must be avoided in high-
performance CCD imaging because it diminishes the
quantitative ability of the CCD and
produces image smearing due to a phenomenon known
as
blooming.
Full well is
dependent upon the pixel size of the CCD, whether
or not multi-pinned-phase (MPP)
mode is
used, and the operating voltages used on the
CCD
. Larger full wells are found on
large-pixel devices. MPP mode reduces
full well since a large gate potential is not
applied to the
CCD electrodes during
integration. This has the intended effect of
reducing dark current, but it can
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