Eugene Malyarenko and Roman Maev - wpi.edu · 60x36 Poster Template Author: A. Kotoulas Subject:...
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TEMPLATE DESIGN © 2008 www.PosterPresentations.com Project Goal: Pneumothorax Disease Diagnosis at Remote places /Battle field Diagnosing Method and Recorded Signals Pole Map Signal Reconstruction efficiency Disease Possible Sources & Existing Diagnosis facilities Treatment Medical Percussion Technique Signal Classification & Reorganization Problems Solution: Signal Decomposition 1. Non parametric Method: Fourier Transform (existing solution) in 1975 by Murray & Neilson 2. Parametric method: Supper Resolution Technique A given signal into a sum of simpler signals • One step process for finding poles as solving of eigen value problem • Computationally more efficient and consider per sample based analysis • Analyze the data on snapshot- by-snapshot basis • Less sensitive to noise. Assumption: Signal can be decomposed into a set of exponentially damped oscillation signal A= Amplitude, d=damping, φ=Initial Phase, ω=Angular frequency Mathematical Model of the signals Matrix Pencil Method ) 1 ( ) ( ) 1 ( ) 2 ( ) ( ) 1 ( ) 1 ( ) ( ) 2 ( ) 1 ( ) ( ) 1 ( ) 1 ( ) 0 ( ] [ + × − − − − − − + − = L L N N y N y L N y L N y L y L y y y L y L y y y Y [ ] 1 Y [ ] 2 Y Damped Resonant signals Reconstruction error Mode Freq [Hz] Damp (1/sec) Amplitude Phase (Red) 1 54.48771 66.89012 0.34 -0.35056 2 110.2193 121.512 0.38 0.702722 3 164.1704 95.30471 0.32 0.515389 4 214.5606 109.451 0.38 0.044167 5 266.1824 93.89007 0.18 0.016278 6 338.8896 44.42675 0.04 -0.29767 7 410.9627 57.9877 0.02 -0.8075 8 568.4136 439.7309 0.54 0.785278 9 695.767 47.45113 0.02 0.107944 10 798.962 377.5481 0.18 -0.44683 11 1080.323 252.2069 0.02 -0.36089 Mode Freq [Hz] Damp Phase (degree) Amp 1 16.04875 43.21943 178.06 0.02 2 100.1096 116.4388 42.52 0.3 3 225.7679 101.2071 -127.31 1.02 4 291.3409 276.7678 60.88 0.94 5 501.5601 234.0484 -68.93 0.14 6 645.7305 64.4511 160.23 0.04 7 813.0717 120.9754 102.05 0.02 8 1059.815 61.93891 37.43 0.02 Results: 4-Parameter Values Tympanic Signal 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4 time (secondes) 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 time (secondes) 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 time (secondes) 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 time (secondes) 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 time (secondes) 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 time (secondes) 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 time (secondes) 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 time (secondes) 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 time (secondes) 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 -1.5 -1 -0.5 0 0.5 1 time (secondes) 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 time (secondes) 1 2 3 4 5 6 7 9 10 11 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 time (secondes) 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 time (secondes) 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 time (secondes) 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 time (secondes) 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 time (secondes) 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 time (secondes) 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 time (secondes) Damped Tympanic signals Resonant signal pole placement Tympanic signal pole placement Reconstruction error 0 0.05 0.1 0.15 0.2 0 5 10 15 RMS Error Number of poles 0 0.05 0.1 0.15 0.2 0.25 0.3 0 2 4 6 RMS error Number of poles Resonant signal Tympanic signal Resonant: 35 % of poles are able to reconstruct the original signal Tympanic: 60 % of poles are able to reconstruct the original signal Reconstructed Signals Conclusion & Future Research Resonant Signal Moinuddin Bhuiyan, Eugene Malyarenko and Roman Maev Methods Resonant Tympanic Signals are short duration, non deterministic highly damped, random in nature, and Lack of descriptions Matrix Pencil Method 8 Data are used to form the Matrix to solve Non-linear problem as a linear problem Y=ZR 1 , , 1 , 0 , ) ( ) ( 1 − = + ≅ ∑ = N k kT n z R kT y S M i k i i S Vandermonde matrix represents the pole parameter Matrix pencil Formed Hankel Matrix is formed from data Y SVD Y’ Noise Filtration using Minimum Description Length (MDL) to Select the M ( Singular Values) [] [ ] [ ][ ] H V U Y ' ' Σ ≅ •Tympanic signal Can be recognized by less than 3-dominant damped Sinusoidal Signal • Resonant Signal needs 5 to 6 dominant damped Sinusoidal signals. • Tympanic signal indication comes in case of Pneumothorax disease • Harware-software co-design for real time implementation on Digital Circuit board •Penetrating chest Injury • Motor vehicle accident. • A gunshot wound Diagnosis •Chest X-Ray & CT-scan Resonant signals Tympanic signals Signals Poles measurement Signals amplitude and phase measurement Least Square Solution : a=z\y Acknowledgements Office of the Naval Research for Financial support Not possible to use in Remote areas or battle field
Transcript of Eugene Malyarenko and Roman Maev - wpi.edu · 60x36 Poster Template Author: A. Kotoulas Subject:...
TEMPLATE DESIGN © 2008
www.PosterPresentations.com
Project Goal: Pneumothorax Disease Diagnosis at Remote places /Battle field
Diagnosing Method and Recorded Signals
Pole Map
Signal Reconstruction efficiency
Disease Possible Sources & Existing Diagnosis facilities Treatment
Medical Percussion Technique
Signal Classification & Reorganization Problems
Solution: Signal Decomposition
1. Non parametric Method: Fourier Transform (existing solution) in 1975 by Murray & Neilson
2. Parametric method: Supper Resolution TechniqueA given signal into a sum of simpler signals• One step process for finding poles as solving of eigen value
problem• Computationally more efficient and consider per sample based
analysis• Analyze the data on snapshot- by-snapshot basis• Less sensitive to noise.
Assumption: Signal can be decomposed into a set of exponentially damped oscillation signal
A= Amplitude, d=damping, φ=Initial Phase, ω=Angular frequency
Mathematical Model of the signals
Matrix Pencil Method
)1()()1()2()()1(
)1()()2()1()()1()1()0(
][
+×−
−−−−−
+−
=
LLNNyNyLNyLNy
LyLyyyLyLyyy
Y
[ ]1Y [ ]2Y
Damped Resonant signals
Reconstruction error
Mode Freq [Hz] Damp (1/sec) Amplitude Phase (Red)1 54.48771 66.89012 0.34 -0.350562 110.2193 121.512 0.38 0.7027223 164.1704 95.30471 0.32 0.5153894 214.5606 109.451 0.38 0.0441675 266.1824 93.89007 0.18 0.0162786 338.8896 44.42675 0.04 -0.297677 410.9627 57.9877 0.02 -0.80758 568.4136 439.7309 0.54 0.7852789 695.767 47.45113 0.02 0.10794410 798.962 377.5481 0.18 -0.4468311 1080.323 252.2069 0.02 -0.36089
Mode Freq [Hz] Damp Phase (degree) Amp
1 16.04875 43.21943 178.06 0.022 100.1096 116.4388 42.52 0.33 225.7679 101.2071 -127.31 1.024 291.3409 276.7678 60.88 0.945 501.5601 234.0484 -68.93 0.146 645.7305 64.4511 160.23 0.047 813.0717 120.9754 102.05 0.028 1059.815 61.93891 37.43 0.02
Results: 4-Parameter Values
Tympanic Signal
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05-0.5
-0.4
-0.3
-0.2
-0.1
0
0.1
0.2
0.3
0.4
time (secondes)0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
time (secondes) 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
time (secondes)
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
time (secondes)0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
time (secondes)
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
time (secondes)
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05-1
-0.8
-0.6
-0.4
-0.2
0
0.2
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0.6
0.8
1
time (secondes)
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
time (secondes)
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
time (secondes)
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05-1.5
-1
-0.5
0
0.5
1
time (secondes)0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
time (secondes)
1 23
456
79
1011
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
time (secondes)
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
time (secondes)
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
time (secondes)
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05-1
-0.8
-0.6
-0.4
-0.2
0
0.2
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0.8
time (secondes)
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
time (secondes) 0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
time (secondes)
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
time (secondes)
Damped Tympanic signals
Resonant signal pole placement Tympanic signal pole placement
Reconstruction error
0
0.05
0.1
0.15
0.2
0 5 10 15
RM
S Er
ror
Number of poles
00.05
0.10.15
0.20.25
0.3
0 2 4 6
RM
S er
ror
Number of poles
Resonant signal Tympanic signal
Resonant: 35 % of poles are able to reconstruct the original signal Tympanic: 60 % of poles are able to reconstruct the original signal
Reconstructed Signals
Conclusion & Future Research
Resonant Signal
Moinuddin Bhuiyan, Eugene Malyarenko and Roman Maev
Methods
Resonant
Tympanic
Signals are short duration, non deterministic highly damped, random in nature, and Lack of descriptions
Matrix Pencil Method 8
Data are used to form the Matrix to solve Non-linear problem as a linear problem
Y=ZR
1,,1,0,)()(1
−=+≅ ∑=
NkkTnzRkTy S
M
i
kiiS
Vandermonde matrix represents the pole parameter
Matrix pencil Formed
Hankel Matrix is formed from data
Y SVD Y’Noise Filtration using Minimum Description Length (MDL) to Select the M ( Singular Values)
[ ] [ ][ ][ ]HVUY ''Σ≅
•Tympanic signal Can be recognized by less than 3-dominant damped Sinusoidal Signal
• Resonant Signal needs 5 to 6 dominant damped Sinusoidal signals.• Tympanic signal indication comes in case of Pneumothorax disease• Harware-software co-design for real time implementation on
Digital Circuit board
•Penetrating chest Injury• Motor vehicle accident.• A gunshot wound Diagnosis•Chest X-Ray & CT-scan
Resonant signalsTympanic signals
Signals Poles measurement
Signals amplitude and phase measurement
Least Square Solution : a=z\y
Acknowledgements Office of the Naval Research for Financial support
Not possible to use in Remote areas or battle field
