Aerospace and Electronic Systems Magazine December 2017 - 27
Francis, Cervera, and Frazer
Table 1.
Radar Network Spatial Median Hours (out of 24) Coverage Results for Radar Network Designed to +6 dB for BaseSystem Design
SSN
20
70
Month
ADL-SYD
BNE-SYD
MEL-SYD
HBA-SYD
SYD holding
March
6
0
9
6
12
June
3
0
5
3
9
September
0
0
0
0
3
December
11
0
12
10
16
March
19
1
19
18
21
June
11
1
12
11
13
September
17
0
18
16
20
December
20
0
20
20
23
NOTE: Red cells illustrate undesirable performance.
Figure 6.
Proportion of track coverage versus time of day (UT) for a radar network designed to +6 dB with respect to the base-system design for the
case of operation in December and at low SSN.
What we seek in our analysis is to select a radar design sensitivity that meets the desired median performance outcome but is
not a minimum design to avoid a performance "cliff" or has the
radar over-designed above a performance "plateau." The former
case could result in a complete loss of capability from day-to-day
variability for the climatological environmental models used. The
latter case results in an overspecified radar network, leading to a
higher than necessary design cost.
Using the marginal system gain as realised in the parameter
Gm within Equation (1), the hours of coverage values are generated at different sensitivity levels. These performance values are
compared as independent distributions of values for each season
and solar activity level, where the medians are the "mostly-at-least
hours coverage" metric. Statistically, we perform a two-sample ttest with unequal variance [16] to determine whether two sensitivity levels produce statistically equivalent mean hours of coverage.
This is a best practice for comparing performance, as this test inDECEMBER 2017
Figure 7.
The statistical testing process is performed for each combination of
characteristic mission, season, and solar activity level.
corporates the variance of performance produced by different radar
designs.
For each season and solar activity level, we compare the hours
of coverage distributions between each of the 0 to 30 dB additional
marginal system gains. We determine that two sensitivity levels
or values of additional marginal system gain are equivalent when
the statistical test fails to falsify the null hypothesis of equivalent
distributions. The process taken is depicted in Figure 7 as a flow
IEEE A&E SYSTEMS MAGAZINE
25
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