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Intelligence, Surveillance, and Reconnaissance - Spawar

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184<br />

INTELLIGENCE, SURVEILLANCE, AND RECONNAISSANCE<br />

split-aperture adaptive beamforming process. The objective is to generate<br />

signal clusters in bearing <strong>and</strong> frequency space. Tracking is accomplished<br />

by association of clusters, in bearing <strong>and</strong> frequency space (narrowb<strong>and</strong>)<br />

or bearing only (broadb<strong>and</strong>), over time (Figure 4). An – tracker is used<br />

to associate the acoustic clusters to the magnetic track to form a contact<br />

track [5].<br />

Contact Classification<br />

Contact tracks, generated by the acoustic <strong>and</strong> magnetic track association<br />

process, include contact data structures that are the input to the classification<br />

process. These data structures consist of the magnetic <strong>and</strong> acoustic<br />

feature sets listed below.<br />

1. Magnetic (MA): defines specific magnetic features such as magnetic<br />

moment, depth, <strong>and</strong> magnetic score. Membership functions are used<br />

to provide the scoring criteria.<br />

2. Number of Blade Harmonics (NBH): defines a blade harmonic<br />

structure <strong>and</strong> provides membership functions for evaluating the<br />

number of blade harmonics.<br />

3. Blade Harmonic Power (BHP): provides a membership function<br />

for evaluating the range normalized average power in each blade<br />

harmonic.<br />

4. Non-Blade Power (NBP): provides a membership function for<br />

evaluating the range normalized average power in each non-blade<br />

narrow-b<strong>and</strong> signal.<br />

5. Contact Bearing Rate (CBR): provides a membership function for<br />

evaluating the contact bearing rate.<br />

6. Number of Signal Events (NSE): provides a membership function<br />

for evaluating the number of associated signal events in each contact<br />

track.<br />

A discriminant score for each contact is calculated using these features<br />

<strong>and</strong> associated membership functions [6]. The membership functions provide<br />

estimates of the probability of existence of each of the features. The<br />

contact discriminant scoring function is shown below in Eq. (2)<br />

DS = DSMA + DSNBH + DSBHP + DSNBP + DSCBR + DSNSE (2)<br />

where DS is the discriminant score (ranges from –1 to +1), DSMA is the<br />

magnetic discriminant score, DSNBH is the number of blade harmonics<br />

discriminant score, DSBHP is the blade harmonics power discriminant<br />

score, DSNBP is the non-blade harmonics power discriminant score,<br />

DSCBR is the contact bearing rate discriminant score, <strong>and</strong> DSNSE is the<br />

number of signal events discriminant score.<br />

Contact Scoring<br />

The decision to transmit a contact report to the comm<strong>and</strong> center is based<br />

on the contact score. The contact score is calculated <strong>and</strong> updated from<br />

one processing interval to the next by using a discriminant function classifier.<br />

The algorithm used by the classifier is given below in Eq. (3).<br />

TS(i) = TS(i–1) + K[DS(i) –TS(i–1)] (3)<br />

where TS is the target score (ranges from –1 to +1), K is the smoothing<br />

constant (ranges from 0.2 to 0.8), <strong>and</strong> DS is the discriminant score (ranges<br />

from –1 to +1). The target score is computed with a first-order recursion.<br />

TIME<br />

BEARING<br />

FIGURE 4. Association of acoustic (blue)<br />

<strong>and</strong> magnetic track (red) in time <strong>and</strong><br />

bearing.

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