Signal to Noise Ratio Calculation According
to : Detecting and
measuring faint point sources with a CCD (Herbert Raab) |
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Telescope data |
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1 |
Mirror
diameter |
0.305 m |
D |
|
2 |
Obstruction |
0.10 m |
O |
|
3 |
Ligth
collecting area |
0.063 m2 |
(p . D2 - p . O2)/4 |
|
4 |
Focal
ratio |
4 |
|
|
5 |
Focal
lenght |
1.22 m |
|
|
Detector (MX716) |
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6 |
Pixel
size |
17.2 mm |
Binning 2x2 |
|
7 |
Píxel
scale |
2.7 ²/pixel |
|
|
8 |
Dark current |
0.1 e-/s/pixel |
|
|
9 |
Readout noise |
12 e-/pixel |
|
|
10 |
Quantum
efficiency |
65% |
|
|
11 |
Integration
time |
100 s |
600 s |
T |
12 |
FWHM |
4² |
|
|
Object and Sky |
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13 |
Object
magnitude |
19 |
20 |
|
14 |
Object flux |
6927 g |
16625 g |
4 . 1010/2.5m g/sec/m2 . t
sec . 0.063 m2 |
15 |
Object signal |
4502 e- |
10806 e- |
(14)*(10)
|
16 |
.29 |
.29 |
Function of FWHM |
|
17 |
Object
signal in central pixel |
1306 e- |
3134 e- |
(15)*(16) |
18 |
Object Noise in central pixel |
36 e- |
56 e- |
SQRT(17) |
19 |
Sky
background |
18
mag/”^2 |
18
mag/”^2 |
Brightness per squared arc second |
20 |
Sky back.
Flux |
126243 g/pixel |
757459 g/pixel |
4 .1010/2.5m g/sec/ m2/² 2 . (11) .
(3). (7)2 |
21 |
Sky back.
signal |
82058 e-/pixel |
429348 e-/pixel |
Flux . quantum efficiency |
22 |
Sky back.
noise |
286 e-/pixel |
702 e-/pixel |
|
23 |
Dark current |
10 e-/pixel |
60 e-/pixel |
|
24 |
Dark noise |
3.2 e- |
7.7 e- |
|
25 |
Noise in central pixel |
288 e- |
704 e- |
SQRT((18)2+(22)2+(24)2+(9)2) |
26 |
Peak SNR |
4.55 |
4.45 |
(17)/(25) |