Depth-Of-Coverage Statistics on Ecliptic

1. Overview

Below we show plots of the expected distribution in depth-of-coverage on the ecliptic equator by co-adding frames from a simulation provided by N. Wright. This uses frames from the "pattern-free" simulation. Frames were coadded with AWAIC and then the depth-of-coverage maps from four separate co-add fields straddling the equator were combined to improve the statistics.

The goal was to explore the impact of bad-pixel clusters on the depth-of-coverage statistics. Figure 1 shows the masks for each band. Band 1 shows two noticeble bad-pixel clusters. These manifest themselves as dark depressions in the band 1 depth-of-cocerage map (see Figure 2).

Figure 1 - Bad-pixel masks for each band: top left: band 1; top right: band 2; bottom left: band 3; bottom right: band 4. Black corresponds to bad pixel regions. Click to enlarge.


Figure 2 - Depth-of-coverage maps for bands 1, 2, 3, and 4 (left to right). Each is a nominal co-add size: ~1.56° x 1.56° (1.375″ square pixels). The color bars give the approximate depth. Click any panel to enlarge.

2. Depth-of-Coverage Histograms

Band 1 Band 2
Band 3 Band 4
Figure 3 - Histograms of the depth-of-coverage for bands 1, 2, 3, and 4. These combine coverage information from all four field coadds (for each independent band) made for the "pattern-free" simulation. Click any panel to enlarge.

3. Cumulative Depth-of-Coverage Distributions

Cumulative distributions for depths-of-coverage > 10 are shown in Figure 4. Results for depths ≤ 10 are shown in Figure 5.

Band 1 Band 2
Band 3 Band 4
Figure 4 - Cumulative distributions for the depth-of-coverage for bands 1, 2, 3, and 4. These show the fraction of area on the ecliptic expected to have ≤ the coverage shown. These plots combine coverage maps from all four field coadds (for each independent band) made for the "pattern-free" simulation. See Figure 5 for distributions at coverages ≤ 10. Click any panel to enlarge.


Band 1 Band 2
Band 3 Band 4
Figure 5 - Same as Figure 4 but for depths-of-coverage ≤ 10. Click any panel to enlarge.

4. Some Statistics

BAND 1:

Number of pixels stored = 67076100
mean = 11.9103021394592
RMS = 1.20215769537885
median = 11.9164462089539
min = 0.529662728309631
max = 15.9927034378052

Cumulative fracs = [0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 
                    0.7 0.75 0.8 0.85 0.9 0.95 1]

Coverages = [10.067747  10.629538   10.94128   11.00125  11.046514  11.086864
             11.132582   11.19337  11.342668  11.916446  12.025912  12.094937
             12.17063  12.314831  12.936725  13.069364  13.167703  13.345622
             14.152724  15.992703]

-----

BAND 2:

Number of pixels stored = 67076100
mean = 11.8859757688953
RMS = 1.19741776385463
median = 11.8795642852783
min = 0.676648259162903
max = 15.879695892334

Cumulative fracs = [0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45
                    0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1]

Coverages = [10.05083  10.609124  10.900267  10.973898  11.021377  11.064923
             11.111538  11.17352  11.328173  11.879564  11.999904  12.073208
             12.150533 12.298614  12.895801  13.039029  13.141081 13.321171 
             14.125063 15.879696]

-----

BAND 3:

Number of pixels stored = 67076100
mean = 11.8671613357595
RMS = 1.17350155507794
median = 11.7816801071167
min = 1.73996388912201
max = 15.9028911590576

Cumulative fracs = [0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45
                    0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1]

Coverages = [10.081156  10.414162  10.938917  11.010045  11.056849  11.098354
             11.141448  11.193563  11.279788   11.78168  12.010733  12.090059
             12.161337  12.258809  12.772371  13.053835  13.161867  13.303425
             14.125949  15.902891]

-----

BAND 4:

Number of pixels stored = 67076100
mean = 11.7953973720407
RMS = 1.15403821748415
median = 11.6012411117554
min = 8.47854423522949
max = 15.7335634231567

Cumulative fracs = [0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45
                    0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1]

Coverages = [10.061921   10.31951  10.838555  10.962691  11.024333   11.07108
             11.115225  11.165167  11.242381  11.601241  11.918406  12.039187
             12.119802 12.211817  12.555788    12.9572  13.107442  13.248242
             14.022199  15.733563]



Last update - 21 July 2009
F. Masci - IPAC