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[Sample B: Approval/Signature Sheet] - George Mason University

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tracking algorithm. These steps are those performed in the ground processing system<br />

described above. The portions within the dashed lines are the steps involved in the<br />

approach. As mentioned earlier, new track initiation is not considered in the research.<br />

Object sighting message (OSM)<br />

Correlate<br />

With star?<br />

Y<br />

Calculate<br />

Bias<br />

Next star Vector<br />

N<br />

Perform Bias<br />

Correction<br />

Bias<br />

estimate<br />

Bias at t k<br />

Bias Filter<br />

Get next<br />

star vector<br />

Existing<br />

Track?<br />

Y<br />

Calculate<br />

Target Location<br />

OSM from other satellite<br />

Y<br />

N<br />

P tk<br />

State<br />

Vector<br />

X tk+1<br />

Star at<br />

t k+1 ?<br />

N<br />

X tk<br />

Create new<br />

track<br />

Figure 6. Bias Correction and Tracking Algorithm Flow Chart<br />

3.2. Simulation modeling<br />

The development and testing of dynamic bias correction and tracking algorithm<br />

proceeded in four phases. Phase I tested the effect of bias on the space tracking system.<br />

Phase II included testing of the star detection and sorting algorithm. The third phase<br />

compared the performance of the three nonlinear estimation filters following bias<br />

correction. Additionally, we tested the estimator‟s performance against the Cramer-Rao<br />

lower bound (CLRB) and check for filter consistency. Finally, in Phase IV we tested the<br />

31

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