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Adding Sub-Exposures Reduces Noise

This webpage demonstrates the rate that noise decreases as we increase the number averaged images in a stack. The math says that we get a 1.41 (the square root of two) increase in signal to noise ratio when we double the number of subframes. The below table shows a remarkably close correlation to the predicted S/N improvement.

 

First, here are some particulars about the images shown below.

  • The images are composed of 15-minute dithered sub exposures with an STF–8300 camera.

  • All processing is with CCDStack and exported as TIF for PhotoShop cropping.

  • Except for the last four images, there is no data rejection.

  • To show the noise better, the images are displayed double size.

  • Quad = Quadratic B-Spline registration.

  • NN = Nearest Neighbor registration.

  • The two data rejection methods are…
    Std Sigma Reject with the factor of two.
    Minimum/Maximum rejection of 2/2.

  • The images do not reflect the data shown in the below table. The signal-to-noise ratios were taken from another background area with, no stars. The FWHM data were taken from a much larger area, with no saturated stars.

The images and data clearly show the benefits of increasing the sub exposure count and the plus and minuses of using nearest neighbor registration, versus a routine such as Quadratic B-Spline. The nearest neighbor registration gives about a 5% improvement in FWHM. However, this comes at a cost of a lower signal-to-noise ratio. When imaging a globular cluster, this 5% increase can be noticeable. The Quadratic B-Spline registration does a better job of showing very faint background galaxies. This is evidenced by two faint galaxies at the upper left corner of the images.

In this test, the Min/Max rejection gives better results than the Std Sigma rejection. The difference is not strongly evident in the shown images. Other areas, of the uncropped image, show strong differences in rejected hot and cold pixels. The Sigma rejection used a factor of 2.0. Other factors may give a better result than the Min/Max rejection. This may simply highlight the author's lack of knowledge in using CCDStack.

 

Image

S/N

FWHM

quad2

69

3.47

quad4

100

3.45

quad8

142

3.43

quad16

194

3.57

quad32

264

3.51

quadClip2x2

263

3.51

quadSigma2

217

3.52

nn2

39

3.15

nn4

57

3.20

nn8

80

3.33

nn16

112

3.32

nn32

151

3.40

nn32Clip2x2

150

3.28

nn32Sigma2

122

3.33

 

NN 2

Quad 2

NN 4

Quad 4

NN 8 Quad 8 NN 16 Quad 16
   
NN 32 Quad 32    
NN 32 Std Sigma Reject 2 NN 32 Min/Max Clip 2x2 Quad 32 Std Sigma Reject 2 Quad 32 Min/Max Clip 2x2