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Nautilus Automates, You Analyze Reproducible Analysis of Sensor Data in R Dr. Benjamin Ashwell Dr. Kevin Kirshenbaum 21 March, 2018
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Page 1: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

Nautilus Automates, You AnalyzeReproducible Analysis of Sensor Data in R

Dr. Benjamin Ashwell

Dr. Kevin Kirshenbaum

21 March, 2018

Page 2: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

We need to know how well sensors that provide positional data work

1

Page 3: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

We need to know how well sensors that provide positional data work

This apparently simple goal is actually very complicated

2

Page 4: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

3

Track-to-truth assignment is often tedious and ambiguousLa

titu

de

Longitude

Page 5: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

4

Who is this track tracking?How should we

evaluate its track accuracy?

Track-to-truth assignment is often tedious and ambiguousLa

titu

de

Longitude

Page 6: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

5

Track-to-truth assignment is often tedious and ambiguous

When was this target detected?La

titu

de

Longitude

Page 7: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

The things that matter for sensor performance change with the mission

6

Surveillance radars

Fire control radars

Page 8: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

7

Target A

Target B

Track 1

Track 2

Target C

Track 3

Target D

Nautilus takes tracks and truth…

Page 9: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

… and assigns tracks to the most likely targets

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Target A

Target B

Track 2

Target C

Target D

Track 3

Track 1

Page 10: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

With track-to-truth assignments, we can start answering questions

9

Target NameDetection

Range (km) Detection TimeAvg Position

Error (m)

F-18 2.16 1/1/2015 0:15 46.36

EA-18G 1.58 1/1/2015 0:22 45.6

P-8A 2.58 1/1/2015 0:07 40.54

LCS 4 4.2 1/1/2015 1:13 31.46

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With track-to-truth assignments, we can start answering questions

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USS Good Guy

Page 12: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

Nautilus produces a number of different plots

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Page 13: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

Our approach, Nautilus, compares sensor reports to reality

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Nautilus is designed for operational testing, so we’re interested in the correctness of actionable information

provided by the sensor

Nautilus is system agnostic

Page 14: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

What you need to use Nautilus

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- A basic understanding of R

- Truth data for ownship (the sensor) and targets: time, latitude, longitude, altitude

- The sensor tracks: time, latitude, longitude, altitude, track ID

- Only 2 (or 3) user inputs to assign tracks to targets

- Patience and a willingness to experiment

Page 15: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

Which target is each track following?

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Target A

Target B Track 1

Track 2

Target C

Track 3

Target D

Page 16: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

Step 1: Nautilus assigns each sensor point to the closest target

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Target A

Track 2

Target C

Track 3

Target D

Track 1Target B

Page 17: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

Applies a cutoff distance: any sensor point ‘wronger’ than δ is a false track

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Target A

Track 2

Target C

Track 3

Target D

Track 1

δ

Target B

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Step 2: Removes points for which we have no nearby truth data

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Target A

Track 2

Target C

Track 3

Target D

Track 1Target B

δ

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A small cutoff may unfairly reduce error estimates…

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Target A

Track 2

Target C

Track 3

Target D

Track 1Target B

δ

Page 20: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

But a large cutoff may include additional false track points

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Target A

Track 2

Target C

Track 3

Target D

Track 1Target B

δ

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Changing the method to a window method will smooth the target assignment

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Target A

Target B Track 1

Track 2

Target C

Track 3

Target D

t = τt = τ - α t = τ + α

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21

Target A

Target B Track 1

Track 2

Target C

Track 3

Target D

Changing the method to a window method will smooth the target assignment

Page 23: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

22

Target A

Target B Track 1

Track 2

Target C

Track 3

Target D

Changing the method to a window method will smooth the target assignment

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Adjusting window size may change results

23

Target A

Track 2

Target C

Track 3

Target D

Track 1Target B

Page 25: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

Adjusting window size may change results

24

Target A

Track 2

Target C

Track 3

Target D

Track 1Target B

Page 26: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

Adjusting window size may change results

25

Target A

Track 2

Target C

Track 3

Target D

Track 1Target B

Page 27: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

How do we know our assignments are right?

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Because it is sensor system agnostic, Nautilus cannot judge the reasonability of its answers

Nautilus automates, you analyze

Page 28: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

R Demonstration

27

Page 29: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

Our code is modular – use the pieces that you find useful

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- Automatically calculate values like relative bearing, target aspect, and slant range between targets

- Useful interactive figures for event reconstruction

- Import and export data from/to SIMDIS

Page 30: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

Backup

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Page 31: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

What do we even mean by performance?

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Page 32: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

What do we even mean by performance?

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Page 33: Nautilus Automates, You Analyze - Test Science · LCS 4 4.2 1/1/2015 1:13 31.46. With track-to-truth assignments, we can start ... the target assignment. Adjusting window size may

Nautilus tries to do what your eyes do automatically

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1. Calculate the distance from each track to each target (User specifies assignment method and cutoff

distance)

2. Assign track to closest target (caution: reasonable assumption)

3. Flag false tracks (distance > δ)

4. Generate figures and diagnostics


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