Terahertz GUSSS

12/29/15

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Detecting Terahertz Signatures Using Guided Under-determined Source Signal Separation

Abstract

Terahertz technology has attracted the attention of researchers for many years, and it has seen many advances over the past decades. Special interest for the use of this technology is directed to the detection of illegal drugs, explosives and other hazardous materials. These materials exhibit characteristic signatures at terahertz wavelengths which may be used to identify them. In this paper we present a new method for detecting the presence of chemicals and other materials using their terahertz signatures and a new technique for signature recognition called Guided Under-determined Source Signal Separation (GUSSS). Our method requires only one sensor and by employing one single feature and a simple classifier we already obtained very good classification performances. The method was tested using a public THz database, achieving high true positive and true negative percentages.

 

These results correspond to the 18 tests ran for this paper. Two of them (Manzeb and Talc) and the overall averages were included in the manuscript [1].

Detected Material: Manzeb
Additional Training Materials: ADP, Albumin, DAST, H2S, HgS, Lumiflavin, MgO
Additional Testing Materials: Glucose, SiN
 
Threshold using Geometric Means   Threshold using Intersection of Gaussians   SVM Approach
[ll, ul] TP TN CC   [ll, ul] TP TN CC   [ll, ul] TP TN CC
[0.10, 0.20] 100.0 100.0 100.0   [0.10, 0.20] 100.0 100.0 100.0   [0.10, 0.20] 100.0 100.0 100.0
[0.20, 0.30] 100.0 100.0 100.0   [0.20, 0.30] 100.0 100.0 100.0   [0.20, 0.30] 100.0 100.0 100.0
[0.30, 0.40] 100.0 100.0 100.0   [0.30, 0.40] 100.0 100.0 100.0   [0.30, 0.40] 100.0 100.0 100.0
[0.40, 0.50] 100.0 100.0 100.0   [0.40, 0.50] 100.0 100.0 100.0   [0.40, 0.50] 100.0 100.0 100.0
[0.50, 0.60] 100.0 100.0 100.0   [0.50, 0.60] 100.0 100.0 100.0   [0.50, 0.60] 100.0 100.0 100.0
[0.60, 0.70] 100.0 100.0 100.0   [0.60, 0.70] 100.0 100.0 100.0   [0.60, 0.70] 100.0 100.0 100.0
[0.70, 0.80] 100.0 100.0 100.0   [0.70, 0.80] 100.0 100.0 100.0   [0.70, 0.80] 100.0 100.0 100.0
[0.80, 0.90] 100.0 100.0 100.0   [0.80, 0.90] 100.0 100.0 100.0   [0.80, 0.90] 100.0 100.0 100.0
[0.90, 0.95] 100.0 100.0 100.0   [0.90, 0.95] 100.0 100.0 100.0   [0.90, 0.95] 100.0 100.0 100.0
                           
                           
Detected Material: Talc
Additional Training Materials: Equal, Sodium Chloride, ADP, Albumin, Lumiflavin, MgO, NAC
Additional Testing Materials: H2S, DAST
 
Threshold using Geometric Means   Threshold using Intersection of Gaussians   SVM Approach
[ll, ul] TP TN CC   [ll, ul] TP TN CC   [ll, ul] TP TN CC
[0.10, 0.20] 62.8 55.6 59.2   [0.10, 0.20] 71.8 43.4 57.6   [0.10, 0.20] 79.2 42.0 60.6
[0.20, 0.30] 69.6 61.2 65.4   [0.20, 0.30] 85.6 54.4 70.0   [0.20, 0.30] 81.6 46.8 64.2
[0.30, 0.40] 77.4 72.8 75.1   [0.30, 0.40] 89.0 63.0 76.0   [0.30, 0.40] 84.8 63.2 74.0
[0.40, 0.50] 85.4 77.6 81.5   [0.40, 0.50] 92.8 65.0 78.9   [0.40, 0.50] 85.2 72.2 78.7
[0.50, 0.60] 93.0 81.6 87.3   [0.50, 0.60] 93.2 79.2 86.2   [0.50, 0.60] 92.0 80.0 86.0
[0.60, 0.70] 93.4 91.4 92.4   [0.60, 0.70] 95.4 81.8 88.6   [0.60, 0.70] 96.8 86.0 91.4
[0.70, 0.80] 96.2 91.8 94.0   [0.70, 0.80] 97.0 89.8 93.4   [0.70, 0.80] 96.8 92.8 94.8
[0.80, 0.90] 97.8 95.8 96.8   [0.80, 0.90] 98.0 95.2 96.6   [0.80, 0.90] 98.0 97.6 97.8
[0.90, 0.95] 96.6 98.0 97.3   [0.90, 0.95] 96.8 97.8 97.3   [0.90, 0.95] 96.2 99.6 97.9
                           
                           
Detected Material: Baking Soda
Additional Training Materials: Caffeine, Cellulose, Coffee Ground, O2Si, Ovalbumin, Sodium Chloride, Talc
Additional Testing Materials: Equal, Trehalose
 
Threshold using Geometric Means   Threshold using Intersection of Gaussians   SVM Approach
[ll, ul] TP TN CC   [ll, ul] TP TN CC   [ll, ul] TP TN CC
[0.10, 0.20] 62.6 57.6 60.1   [0.10, 0.20] 64.6 50.0 57.3   [0.10, 0.20] 61.2 59.6 60.4
[0.20, 0.30] 74.2 62.6 68.4   [0.20, 0.30] 60.8 74.0 67.4   [0.20, 0.30] 70.6 71.2 70.9
[0.30, 0.40] 74.4 74.6 74.5   [0.30, 0.40] 72.2 81.6 76.9   [0.30, 0.40] 74.8 74.8 74.8
[0.40, 0.50] 80.8 83.0 81.9   [0.40, 0.50] 79.0 79.8 79.4   [0.40, 0.50] 72.6 91.0 81.8
[0.50, 0.60] 79.6 92.0 85.8   [0.50, 0.60] 82.0 89.4 85.7   [0.50, 0.60] 79.6 87.8 83.7
[0.60, 0.70] 80.8 95.2 88.0   [0.60, 0.70] 83.2 89.2 86.2   [0.60, 0.70] 76.0 96.6 86.3
[0.70, 0.80] 73.0 98.2 85.6   [0.70, 0.80] 82.0 91.8 86.9   [0.70, 0.80] 81.2 94.6 87.9
[0.80, 0.90] 76.6 97.4 87.0   [0.80, 0.90] 84.2 92.0 88.1   [0.80, 0.90] 82.0 96.4 89.2
[0.90, 0.95] 81.8 97.0 89.4   [0.90, 0.95] 88.8 94.2 91.5   [0.90, 0.95] 88.6 94.2 91.4
                           
                           
Detected Material: ADP
Additional Training Materials: Talc, Albumin, DAST, Glucose, H2S, Lumiflavin, NAC
Additional Testing Materials: O2Si, MgO
 
Threshold using Geometric Means   Threshold using Intersection of Gaussians   SVM Approach
[ll, ul] TP TN CC   [ll, ul] TP TN CC   [ll, ul] TP TN CC
[0.10, 0.20] 75.4 61.0 68.2   [0.10, 0.20] 86.0 29.0 57.5   [0.10, 0.20] 62.6 76.8 69.7
[0.20, 0.30] 84.0 69.8 76.9   [0.20, 0.30] 91.8 55.0 73.4   [0.20, 0.30] 78.0 91.2 84.6
[0.30, 0.40] 94.2 78.0 86.1   [0.30, 0.40] 93.0 80.2 86.6   [0.30, 0.40] 86.6 95.2 90.9
[0.40, 0.50] 97.2 86.2 91.7   [0.40, 0.50] 94.2 98.2 96.2   [0.40, 0.50] 95.2 98.2 96.7
[0.50, 0.60] 98.2 99.2 98.7   [0.50, 0.60] 98.2 99.8 99.0   [0.50, 0.60] 96.8 99.4 98.1
[0.60, 0.70] 98.4 99.4 98.9   [0.60, 0.70] 98.6 100.0 99.3   [0.60, 0.70] 98.6 99.6 99.1
[0.70, 0.80] 100.0 99.8 99.9   [0.70, 0.80] 98.2 100.0 99.1   [0.70, 0.80] 99.4 99.6 99.5
[0.80, 0.90] 100.0 100.0 100.0   [0.80, 0.90] 99.6 100.0 99.8   [0.80, 0.90] 100.0 99.8 99.9
[0.90, 0.95] 100.0 100.0 100.0   [0.90, 0.95] 100.0 100.0 100.0   [0.90, 0.95] 100.0 100.0 100.0
                           
                           
Detected Material: Glucose
Additional Training Materials: Baking Soda, Cellulose, O2Si, Ovalbumin, Sodium Chloride, Talc, NAC
Additional Testing Materials: Coffee Ground, HgS
 
Threshold using Geometric Means   Threshold using Intersection of Gaussians   SVM Approach
[ll, ul] TP TN CC   [ll, ul] TP TN CC   [ll, ul] TP TN CC
[0.10, 0.20] 59.0 63.0 61.0   [0.10, 0.20] 60.8 59.4 60.1   [0.10, 0.20] 52.8 70.2 61.5
[0.20, 0.30] 74.6 69.8 72.2   [0.20, 0.30] 77.8 60.4 69.1   [0.20, 0.30] 72.8 73.4 73.1
[0.30, 0.40] 85.8 79.2 82.5   [0.30, 0.40] 90.8 67.2 79.0   [0.30, 0.40] 85.0 81.2 83.1
[0.40, 0.50] 96.8 83.4 90.1   [0.40, 0.50] 92.6 90.4 91.5   [0.40, 0.50] 94.6 88.2 91.4
[0.50, 0.60] 99.8 89.4 94.6   [0.50, 0.60] 97.6 96.2 96.9   [0.50, 0.60] 97.6 97.2 97.4
[0.60, 0.70] 100.0 90.2 95.1   [0.60, 0.70] 99.0 98.8 98.9   [0.60, 0.70] 99.6 98.4 99.0
[0.70, 0.80] 100.0 96.6 98.3   [0.70, 0.80] 99.0 100.0 99.5   [0.70, 0.80] 99.6 99.6 99.6
[0.80, 0.90] 100.0 97.6 98.8   [0.80, 0.90] 97.6 100.0 98.8   [0.80, 0.90] 99.4 99.8 99.6
[0.90, 0.95] 100.0 98.4 99.2   [0.90, 0.95] 95.6 100.0 97.8   [0.90, 0.95] 99.6 99.8 99.7
                           
                           
Detected Material: DAST
Additional Training Materials: Caffeine, Equal, ADP, Albumin, H2S, Lumiflavin, NAC
Additional Testing Materials: Sodium Chloride, Glucose
 
Threshold using Geometric Means   Threshold using Intersection of Gaussians   SVM Approach
[ll, ul] TP TN CC   [ll, ul] TP TN CC   [ll, ul] TP TN CC
[0.10, 0.20] 76.6 45.0 60.8   [0.10, 0.20] 88.4 28.0 58.2   [0.10, 0.20] 67.6 56.4 62.0
[0.20, 0.30] 85.8 58.0 71.9   [0.20, 0.30] 92.8 35.0 63.9   [0.20, 0.30] 81.2 70.2 75.7
[0.30, 0.40] 92.2 67.2 79.7   [0.30, 0.40] 93.2 62.0 77.6   [0.30, 0.40] 86.8 78.6 82.7
[0.40, 0.50] 96.4 77.2 86.8   [0.40, 0.50] 96.2 73.0 84.6   [0.40, 0.50] 88.2 90.2 89.2
[0.50, 0.60] 98.0 86.6 92.3   [0.50, 0.60] 98.4 90.6 94.5   [0.50, 0.60] 95.4 90.6 93.0
[0.60, 0.70] 97.8 97.2 97.5   [0.60, 0.70] 98.8 93.8 96.3   [0.60, 0.70] 98.0 96.2 97.1
[0.70, 0.80] 99.6 97.8 98.7   [0.70, 0.80] 99.4 96.0 97.7   [0.70, 0.80] 99.6 97.4 98.5
[0.80, 0.90] 100.0 98.6 99.3   [0.80, 0.90] 99.8 99.4 99.6   [0.80, 0.90] 100.0 99.0 99.5
[0.90, 0.95] 100.0 99.0 99.5   [0.90, 0.95] 100.0 98.2 99.1   [0.90, 0.95] 100.0 99.6 99.8
                           
                           
Detected Material: Lumiflavin
Additional Training Materials: Caffeine, O2Si, Albumin, DAST, Glucose, MgO, SiN
Additional Testing Materials: Cellulose, Coffee Ground
 
Threshold using Geometric Means   Threshold using Intersection of Gaussians   SVM Approach
[ll, ul] TP TN CC   [ll, ul] TP TN CC   [ll, ul] TP TN CC
[0.10, 0.20] 36.8 71.6 54.2   [0.10, 0.20] 51.2 58.6 54.9   [0.10, 0.20] 45.2 67.0 56.1
[0.20, 0.30] 42.4 78.6 60.5   [0.20, 0.30] 62.2 62.8 62.5   [0.20, 0.30] 25.4 93.4 59.4
[0.30, 0.40] 53.2 83.6 68.4   [0.30, 0.40] 63.2 66.4 64.8   [0.30, 0.40] 47.2 90.8 69.0
[0.40, 0.50] 60.2 86.8 73.5   [0.40, 0.50] 67.0 77.0 72.0   [0.40, 0.50] 51.8 93.2 72.5
[0.50, 0.60] 66.8 95.4 81.1   [0.50, 0.60] 75.8 83.4 79.6   [0.50, 0.60] 65.8 92.4 79.1
[0.60, 0.70] 80.8 87.6 84.2   [0.60, 0.70] 79.4 91.4 85.4   [0.60, 0.70] 72.8 95.0 83.9
[0.70, 0.80] 84.8 95.8 90.3   [0.70, 0.80] 85.0 97.0 91.0   [0.70, 0.80] 77.2 97.2 87.2
[0.80, 0.90] 88.6 96.2 92.4   [0.80, 0.90] 94.0 95.8 94.9   [0.80, 0.90] 86.0 95.2 90.6
[0.90, 0.95] 89.6 95.8 92.7   [0.90, 0.95] 93.2 96.6 94.9   [0.90, 0.95] 89.6 97.2 93.4
                           
                           
Detected Material: Cellulose
Additional Training Materials: Ovalbumin, Sodium Chloride, ADP, DAST, H2S, Manzeb, MgO
Additional Testing Materials: NAC, Quartz
 
Threshold using Geometric Means   Threshold using Intersection of Gaussians   SVM Approach
[ll, ul] TP TN CC   [ll, ul] TP TN CC   [ll, ul] TP TN CC
[0.10, 0.20] 30.4 79.4 54.9   [0.10, 0.20] 37.8 73.0 55.4   [0.10, 0.20] 46.0 65.4 55.7
[0.20, 0.30] 39.0 85.0 62.0   [0.20, 0.30] 49.6 78.0 63.8   [0.20, 0.30] 42.4 84.6 63.5
[0.30, 0.40] 50.2 87.2 68.7   [0.30, 0.40] 62.8 83.2 73.0   [0.30, 0.40] 63.0 82.8 72.9
[0.40, 0.50] 64.0 90.6 77.3   [0.40, 0.50] 69.8 88.8 79.3   [0.40, 0.50] 61.4 91.0 76.2
[0.50, 0.60] 77.2 92.2 84.7   [0.50, 0.60] 76.4 93.8 85.1   [0.50, 0.60] 71.4 95.4 83.4
[0.60, 0.70] 86.0 94.4 90.2   [0.60, 0.70] 86.6 95.6 91.1   [0.60, 0.70] 82.8 95.6 89.2
[0.70, 0.80] 96.8 95.4 96.1   [0.70, 0.80] 93.6 94.8 94.2   [0.70, 0.80] 93.8 95.4 94.6
[0.80, 0.90] 98.4 96.4 97.4   [0.80, 0.90] 99.0 97.4 98.2   [0.80, 0.90] 97.8 94.6 96.2
[0.90, 0.95] 99.4 96.6 98.0   [0.90, 0.95] 99.8 96.6 98.2   [0.90, 0.95] 99.4 96.8 98.1
                           
                           
Detected Material: MgO
Additional Training Materials: ADP, Albumin, DAST, Glucose, H2S, HgS, NAC
Additional Testing Materials: Lumiflavin, Manzeb
 
Threshold using Geometric Means   Threshold using Intersection of Gaussians   SVM Approach
[ll, ul] TP TN CC   [ll, ul] TP TN CC   [ll, ul] TP TN CC
[0.10, 0.20] 93.8 93.0 93.4   [0.10, 0.20] 89.4 95.2 92.3   [0.10, 0.20] 97.0 91.8 94.4
[0.20, 0.30] 100.0 92.6 96.3   [0.20, 0.30] 95.4 96.8 96.1   [0.20, 0.30] 100.0 95.4 97.7
[0.30, 0.40] 100.0 94.2 97.1   [0.30, 0.40] 99.6 96.2 97.9   [0.30, 0.40] 100.0 95.0 97.5
[0.40, 0.50] 100.0 93.0 96.5   [0.40, 0.50] 99.8 96.8 98.3   [0.40, 0.50] 100.0 99.4 99.7
[0.50, 0.60] 100.0 94.4 97.2   [0.50, 0.60] 100.0 97.8 98.9   [0.50, 0.60] 100.0 100.0 100.0
[0.60, 0.70] 100.0 96.4 98.2   [0.60, 0.70] 100.0 100.0 100.0   [0.60, 0.70] 100.0 100.0 100.0
[0.70, 0.80] 100.0 94.8 97.4   [0.70, 0.80] 100.0 100.0 100.0   [0.70, 0.80] 100.0 100.0 100.0
[0.80, 0.90] 100.0 95.8 97.9   [0.80, 0.90] 100.0 97.4 98.7   [0.80, 0.90] 100.0 100.0 100.0
[0.90, 0.95] 100.0 96.2 98.1   [0.90, 0.95] 100.0 96.2 98.1   [0.90, 0.95] 100.0 100.0 100.0
                           
                           
Detected Material: HgS
Additional Training Materials: Caffeine, Cellulose, Chalk, Coffee Ground, Equal, O2Si, Talc
Additional Testing Materials: Sodium Chloride, DAST
 
Threshold using Geometric Means   Threshold using Intersection of Gaussians   SVM Approach
[ll, ul] TP TN CC   [ll, ul] TP TN CC   [ll, ul] TP TN CC
[0.10, 0.20] 86.6 74.2 80.4   [0.10, 0.20] 91.0 71.6 81.3   [0.10, 0.20] 87.8 73.6 80.7
[0.20, 0.30] 98.6 84.0 91.3   [0.20, 0.30] 97.2 87.4 92.3   [0.20, 0.30] 92.6 86.2 89.4
[0.30, 0.40] 99.2 90.4 94.8   [0.30, 0.40] 98.6 95.0 96.8   [0.30, 0.40] 99.2 95.6 97.4
[0.40, 0.50] 100.0 97.4 98.7   [0.40, 0.50] 97.8 99.2 98.5   [0.40, 0.50] 99.4 99.2 99.3
[0.50, 0.60] 100.0 98.6 99.3   [0.50, 0.60] 100.0 100.0 100.0   [0.50, 0.60] 99.8 98.8 99.3
[0.60, 0.70] 100.0 99.4 99.7   [0.60, 0.70] 99.6 99.6 99.6   [0.60, 0.70] 100.0 100.0 100.0
[0.70, 0.80] 100.0 99.8 99.9   [0.70, 0.80] 100.0 99.8 99.9   [0.70, 0.80] 99.4 100.0 99.7
[0.80, 0.90] 100.0 99.6 99.8   [0.80, 0.90] 100.0 99.0 99.5   [0.80, 0.90] 100.0 99.4 99.7
[0.90, 0.95] 100.0 99.8 99.9   [0.90, 0.95] 100.0 99.8 99.9   [0.90, 0.95] 99.8 99.8 99.8
                           
                           
Detected Material: Caffeine
Additional Training Materials: Baking Soda, Cellulose, Chalk, Coffee Ground, Equal, Sodium Chloride, DAST
Additional Testing Materials: Ovalbumin, Albumin
 
Threshold using Geometric Means   Threshold using Intersection of Gaussians   SVM Approach
[ll, ul] TP TN CC   [ll, ul] TP TN CC   [ll, ul] TP TN CC
[0.10, 0.20] 89.4 36.6 63.0   [0.10, 0.20] 90.2 38.2 64.2   [0.10, 0.20] 72.6 76.6 74.6
[0.20, 0.30] 88.6 77.6 83.1   [0.20, 0.30] 96.0 21.0 58.5   [0.20, 0.30] 88.6 86.0 87.3
[0.30, 0.40] 95.2 82.0 88.6   [0.30, 0.40] 97.4 37.0 67.2   [0.30, 0.40] 92.6 94.0 93.3
[0.40, 0.50] 96.4 94.6 95.5   [0.40, 0.50] 95.8 71.6 83.7   [0.40, 0.50] 99.0 96.4 97.7
[0.50, 0.60] 94.8 97.2 96.0   [0.50, 0.60] 97.4 81.0 89.2   [0.50, 0.60] 99.8 100.0 99.9
[0.60, 0.70] 96.8 99.4 98.1   [0.60, 0.70] 96.2 100.0 98.1   [0.60, 0.70] 99.8 99.6 99.7
[0.70, 0.80] 93.6 99.4 96.5   [0.70, 0.80] 94.6 99.8 97.2   [0.70, 0.80] 99.6 98.6 99.1
[0.80, 0.90] 94.8 100.0 97.4   [0.80, 0.90] 96.0 100.0 98.0   [0.80, 0.90] 99.6 99.2 99.4
[0.90, 0.95] 95.6 99.6 97.6   [0.90, 0.95] 97.6 99.4 98.5   [0.90, 0.95] 96.8 99.8 98.3
                           
                           
Detected Material: Chalk
Additional Training Materials: Cellulose, Coffee Ground, Equal, O2Si, Ovalbumin, Sodium Chloride, Talc
Additional Testing Materials: Baking Soda, Caffeine
 
Threshold using Geometric Means   Threshold using Intersection of Gaussians   SVM Approach
[ll, ul] TP TN CC   [ll, ul] TP TN CC   [ll, ul] TP TN CC
[0.10, 0.20] 41.4 75.8 58.6   [0.10, 0.20] 42.6 74.2 58.4   [0.10, 0.20] 43.6 67.4 55.5
[0.20, 0.30] 49.8 78.2 64.0   [0.20, 0.30] 54.2 77.8 66.0   [0.20, 0.30] 76.8 67.2 72.0
[0.30, 0.40] 54.4 83.8 69.1   [0.30, 0.40] 72.2 80.2 76.2   [0.30, 0.40] 76.6 71.8 74.2
[0.40, 0.50] 62.4 92.2 77.3   [0.40, 0.50] 86.6 83.6 85.1   [0.40, 0.50] 84.6 81.4 83.0
[0.50, 0.60] 61.0 93.6 77.3   [0.50, 0.60] 93.2 86.2 89.7   [0.50, 0.60] 89.8 88.2 89.0
[0.60, 0.70] 79.8 95.6 87.7   [0.60, 0.70] 97.4 82.2 89.8   [0.60, 0.70] 92.4 91.4 91.9
[0.70, 0.80] 81.0 94.6 87.8   [0.70, 0.80] 95.4 85.0 90.2   [0.70, 0.80] 90.6 92.4 91.5
[0.80, 0.90] 73.4 97.0 85.2   [0.80, 0.90] 94.4 88.2 91.3   [0.80, 0.90] 91.6 88.4 90.0
[0.90, 0.95] 71.6 95.2 83.4   [0.90, 0.95] 93.8 80.8 87.3   [0.90, 0.95] 87.8 87.8 87.8
                           
                           
Detected Material: Sodium Chloride
Additional Training Materials: Caffeine, Cellulose, Ovalbumin, Lumiflavin, Manzeb, NAC, SiN
Additional Testing Materials: Albumin, Glucose
 
Threshold using Geometric Means   Threshold using Intersection of Gaussians   SVM Approach
[ll, ul] TP TN CC   [ll, ul] TP TN CC   [ll, ul] TP TN CC
[0.10, 0.20] 55.4 83.0 69.2   [0.10, 0.20] 63.4 78.6 71.0   [0.10, 0.20] 86.6 62.6 74.6
[0.20, 0.30] 78.8 87.8 83.3   [0.20, 0.30] 80.6 88.2 84.4   [0.20, 0.30] 95.4 79.2 87.3
[0.30, 0.40] 96.4 90.8 93.6   [0.30, 0.40] 98.6 91.6 95.1   [0.30, 0.40] 94.8 91.0 92.9
[0.40, 0.50] 98.4 96.2 97.3   [0.40, 0.50] 100.0 94.0 97.0   [0.40, 0.50] 99.8 95.0 97.4
[0.50, 0.60] 100.0 97.6 98.8   [0.50, 0.60] 100.0 93.8 96.9   [0.50, 0.60] 100.0 97.2 98.6
[0.60, 0.70] 100.0 98.4 99.2   [0.60, 0.70] 100.0 97.4 98.7   [0.60, 0.70] 100.0 99.6 99.8
[0.70, 0.80] 100.0 99.0 99.5   [0.70, 0.80] 100.0 99.2 99.6   [0.70, 0.80] 100.0 100.0 100.0
[0.80, 0.90] 100.0 100.0 100.0   [0.80, 0.90] 100.0 99.8 99.9   [0.80, 0.90] 100.0 100.0 100.0
[0.90, 0.95] 99.0 100.0 99.5   [0.90, 0.95] 100.0 100.0 100.0   [0.90, 0.95] 100.0 100.0 100.0
                           
                           
Detected Material: NAC
Additional Training Materials: Caffeine, Cellulose, Chalk, O2Si, Ovalbumin, Sodium Chloride, Talc
Additional Testing Materials: Coffee Ground, Equal
 
Threshold using Geometric Means   Threshold using Intersection of Gaussians   SVM Approach
[ll, ul] TP TN CC   [ll, ul] TP TN CC   [ll, ul] TP TN CC
[0.10, 0.20] 78.8 34.6 56.7   [0.10, 0.20] 83.0 30.0 56.5   [0.10, 0.20] 74.6 98.6 86.6
[0.20, 0.30] 82.8 37.6 60.2   [0.20, 0.30] 83.0 35.6 59.3   [0.20, 0.30] 75.8 99.8 87.8
[0.30, 0.40] 85.2 95.2 90.2   [0.30, 0.40] 85.2 98.6 91.9   [0.30, 0.40] 83.4 99.8 91.6
[0.40, 0.50] 90.0 100.0 95.0   [0.40, 0.50] 89.6 100.0 94.8   [0.40, 0.50] 96.4 100.0 98.2
[0.50, 0.60] 92.2 100.0 96.1   [0.50, 0.60] 97.8 100.0 98.9   [0.50, 0.60] 100.0 100.0 100.0
[0.60, 0.70] 99.8 100.0 99.9   [0.60, 0.70] 99.8 100.0 99.9   [0.60, 0.70] 99.8 100.0 99.9
[0.70, 0.80] 100.0 100.0 100.0   [0.70, 0.80] 100.0 100.0 100.0   [0.70, 0.80] 100.0 100.0 100.0
[0.80, 0.90] 100.0 100.0 100.0   [0.80, 0.90] 100.0 100.0 100.0   [0.80, 0.90] 100.0 100.0 100.0
[0.90, 0.95] 99.6 100.0 99.8   [0.90, 0.95] 100.0 100.0 100.0   [0.90, 0.95] 100.0 100.0 100.0
                           
                           
Detected Material: SiN
Additional Training Materials: Caffeine, Chalk, Coffee Ground, Equal, Ovalbumin, DAST, NAC
Additional Testing Materials: O2Si, Sodium Chloride
 
Threshold using Geometric Means   Threshold using Intersection of Gaussians   SVM Approach
[ll, ul] TP TN CC   [ll, ul] TP TN CC   [ll, ul] TP TN CC
[0.10, 0.20] 60.6 70.2 65.4   [0.10, 0.20] 72.4 62.0 67.2   [0.10, 0.20] 70.8 61.0 65.9
[0.20, 0.30] 51.0 88.8 69.9   [0.20, 0.30] 89.8 57.0 73.4   [0.20, 0.30] 78.2 70.4 74.3
[0.30, 0.40] 79.4 86.0 82.7   [0.30, 0.40] 95.0 58.8 76.9   [0.30, 0.40] 89.8 79.2 84.5
[0.40, 0.50] 93.4 88.8 91.1   [0.40, 0.50] 97.0 72.6 84.8   [0.40, 0.50] 93.6 88.4 91.0
[0.50, 0.60] 93.8 92.8 93.3   [0.50, 0.60] 97.2 83.6 90.4   [0.50, 0.60] 97.8 89.2 93.5
[0.60, 0.70] 97.6 95.0 96.3   [0.60, 0.70] 98.0 92.4 95.2   [0.60, 0.70] 97.0 94.2 95.6
[0.70, 0.80] 97.6 97.0 97.3   [0.70, 0.80] 98.2 95.6 96.9   [0.70, 0.80] 98.6 95.8 97.2
[0.80, 0.90] 98.2 97.8 98.0   [0.80, 0.90] 99.0 96.8 97.9   [0.80, 0.90] 99.0 97.8 98.4
[0.90, 0.95] 98.4 99.0 98.7   [0.90, 0.95] 99.0 96.6 97.8   [0.90, 0.95] 98.0 97.2 97.6
                           
                           
Detected Material: Albumin
Additional Training Materials: Coffee Ground, Equal, O2Si, Sodium Chloride, H2S, MgO, SiN
Additional Testing Materials: Talc, HgS
 
Threshold using Geometric Means   Threshold using Intersection of Gaussians   SVM Approach
[ll, ul] TP TN CC   [ll, ul] TP TN CC   [ll, ul] TP TN CC
[0.10, 0.20] 37.4 13.8 25.6   [0.10, 0.20] 40.2 16.4 28.3   [0.10, 0.20] 52.0 91.6 71.8
[0.20, 0.30] 57.6 69.2 63.4   [0.20, 0.30] 61.8 52.6 57.2   [0.20, 0.30] 41.4 88.4 64.9
[0.30, 0.40] 75.6 93.8 84.7   [0.30, 0.40] 84.4 83.6 84.0   [0.30, 0.40] 76.2 92.8 84.5
[0.40, 0.50] 88.2 97.0 92.6   [0.40, 0.50] 91.8 95.4 93.6   [0.40, 0.50] 81.8 99.8 90.8
[0.50, 0.60] 98.0 98.4 98.2   [0.50, 0.60] 96.2 98.8 97.5   [0.50, 0.60] 97.6 97.4 97.5
[0.60, 0.70] 98.8 99.8 99.3   [0.60, 0.70] 97.4 100.0 98.7   [0.60, 0.70] 99.2 99.8 99.5
[0.70, 0.80] 100.0 100.0 100.0   [0.70, 0.80] 100.0 100.0 100.0   [0.70, 0.80] 99.8 100.0 99.9
[0.80, 0.90] 100.0 100.0 100.0   [0.80, 0.90] 99.8 100.0 99.9   [0.80, 0.90] 100.0 100.0 100.0
[0.90, 0.95] 100.0 100.0 100.0   [0.90, 0.95] 100.0 100.0 100.0   [0.90, 0.95] 100.0 100.0 100.0
                           
                           
Detected Material: Ovalbumin
Additional Training Materials: Baking Soda, Caffeine, Chalk, Coffee Ground, O2Si, Sodium Chloride, Talc
Additional Testing Materials: Cellulose, Equal
 
Threshold using Geometric Means   Threshold using Intersection of Gaussians   SVM Approach
[ll, ul] TP TN CC   [ll, ul] TP TN CC   [ll, ul] TP TN CC
[0.10, 0.20] 82.2 61.0 71.6   [0.10, 0.20] 87.8 48.8 68.3   [0.10, 0.20] 91.2 40.8 66.0
[0.20, 0.30] 94.0 75.0 84.5   [0.20, 0.30] 95.4 62.2 78.8   [0.20, 0.30] 95.4 61.2 78.3
[0.30, 0.40] 98.4 72.2 85.3   [0.30, 0.40] 97.6 77.4 87.5   [0.30, 0.40] 97.6 74.0 85.8
[0.40, 0.50] 99.2 80.4 89.8   [0.40, 0.50] 99.4 84.0 91.7   [0.40, 0.50] 99.0 86.2 92.6
[0.50, 0.60] 99.2 89.6 94.4   [0.50, 0.60] 99.0 90.0 94.5   [0.50, 0.60] 99.2 94.2 96.7
[0.60, 0.70] 100.0 88.4 94.2   [0.60, 0.70] 100.0 94.8 97.4   [0.60, 0.70] 99.4 94.0 96.7
[0.70, 0.80] 100.0 93.6 96.8   [0.70, 0.80] 100.0 97.0 98.5   [0.70, 0.80] 99.6 97.4 98.5
[0.80, 0.90] 100.0 95.2 97.6   [0.80, 0.90] 100.0 97.2 98.6   [0.80, 0.90] 99.0 99.0 99.0
[0.90, 0.95] 100.0 93.6 96.8   [0.90, 0.95] 100.0 98.4 99.2   [0.90, 0.95] 100.0 98.0 99.0
                           
                           
Detected Material: Trehalose
Additional Training Materials: Coffee Ground, Equal, O2Si, Sodium Chloride, Talc, ADP, Glucose
Additional Testing Materials: Caffeine, DAST
 
Threshold using Geometric Means   Threshold using Intersection of Gaussians   SVM Approach
[ll, ul] TP TN CC   [ll, ul] TP TN CC   [ll, ul] TP TN CC
[0.10, 0.20] 72.4 59.2 65.8   [0.10, 0.20] 84.2 50.0 67.1   [0.10, 0.20] 16.6 92.6 54.6
[0.20, 0.30] 85.0 66.2 75.6   [0.20, 0.30] 89.6 64.4 77.0   [0.20, 0.30] 91.6 62.2 76.9
[0.30, 0.40] 96.0 72.4 84.2   [0.30, 0.40] 94.4 75.8 85.1   [0.30, 0.40] 96.2 71.2 83.7
[0.40, 0.50] 99.0 81.0 90.0   [0.40, 0.50] 99.6 77.4 88.5   [0.40, 0.50] 98.2 87.0 92.6
[0.50, 0.60] 100.0 82.4 91.2   [0.50, 0.60] 100.0 85.2 92.6   [0.50, 0.60] 99.8 91.4 95.6
[0.60, 0.70] 100.0 88.6 94.3   [0.60, 0.70] 100.0 92.8 96.4   [0.60, 0.70] 100.0 96.8 98.4
[0.70, 0.80] 100.0 91.2 95.6   [0.70, 0.80] 100.0 98.2 99.1   [0.70, 0.80] 99.4 99.0 99.2
[0.80, 0.90] 100.0 95.2 97.6   [0.80, 0.90] 100.0 98.8 99.4   [0.80, 0.90] 100.0 98.2 99.1
[0.90, 0.95] 100.0 98.2 99.1   [0.90, 0.95] 99.8 99.4 99.6   [0.90, 0.95] 99.8 99.0 99.4
                           
                           
                           
                           
OVERALL AVERAGES
 
Threshold using Geometric Means   Threshold using Intersection of Gaussians   SVM Approach
[ll, ul] TP TN CC   [ll, ul] TP TN CC   [ll, ul] TP TN CC
[0.10, 0.20] 66.8 63.0 64.9   [0.10, 0.20] 72.5 55.9 64.2   [0.10, 0.20] 67.1 71.9 69.5
[0.20, 0.30] 75.3 74.6 74.9   [0.20, 0.30] 81.3 64.6 73.0   [0.20, 0.30] 77.1 79.3 78.2
[0.30, 0.40] 83.7 83.5 83.6   [0.30, 0.40] 88.2 77.7 82.9   [0.30, 0.40] 85.3 85.1 85.2
[0.40, 0.50] 89.3 89.2 89.3   [0.40, 0.50] 91.6 85.9 88.8   [0.40, 0.50] 88.9 92.0 90.5
[0.50, 0.60] 91.8 93.4 92.6   [0.50, 0.60] 94.6 91.6 93.1   [0.50, 0.60] 93.5 94.4 93.9
[0.60, 0.70] 95.0 95.4 95.2   [0.60, 0.70] 96.1 95.0 95.5   [0.60, 0.70] 95.1 96.8 96.0
[0.70, 0.80] 95.7 96.9 96.3   [0.70, 0.80] 96.8 96.9 96.8   [0.70, 0.80] 96.4 97.8 97.1
[0.80, 0.90] 96.0 97.9 97.0   [0.80, 0.90] 97.9 97.6 97.7   [0.80, 0.90] 97.4 98.0 97.7
[0.90, 0.95] 96.2 98.1 97.2   [0.90, 0.95] 98.0 97.4 97.7   [0.90, 0.95] 97.5 98.3 97.9

 

 Reference

  1. L. A. Rivera and G. N. DeSouza, “Detecting Terahertz Signatures Using Guided Under-determined Source Signal Separation”, 40th IEEE International Conference on Infrared, Millimeter, and Terahertz Waves, Hong Kong, August 23 - 28, 2015.

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