qq plot representation of feature extraction algorithms ...

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The Q-Q plot representation was used to check the normality of data ... Keywords: Q-Q plot, Cascade Neural Network, Convolution Neural Network, Fitting ...
Journal of Advanced Research in Dynamical and Control Systems Vol. 9. Sp– 17 / 2017

Q-Q PLOT REPRESENTATION OF FEATURE EXTRACTION ALGORITHMS WITH RECENT NETWORK MODELS FOR FACIAL EMOTION RECOGNITION G. Charlyn Pushpa Latha1, SV.Shri Bharathi2 1,2

Assistant Professor, Department of Computer Science and Engineering, Saveetha School of Engineering, Saveetha University, Thandalam, Chennai, Tamil Nadu. INDIA. Email Id: [email protected], [email protected]

ABSTRACT Facial Electromyography is the trending phenomenon for developing an effective emotion recognition system with interface to humans. In this study, analysis of the Facial Electromyography (FEMG) signals are done with respect to the six basic emotions namely anger, disgust, fear, happy, neutral and sad of an individual. Feature extraction algorithms namely bandpower, statistical features and multirate features are used for extracting the most prominent features from the extracted FEMG signals. Comparative analysis of these extracted features are done using the most promising neural network models namely Elman Neural Network (ENN), Feedforward Neural Network (FFNN), Cascade Feedforward Network (CFNN), Layered Recurrent Neural Network (LRN), Fitting Neural Network and the Convolution Neural Network(CNN) models. At the initial stage, 7 subjects took part in the experimental study. For further implementation with the emotion recognition system, 20 people were involved. The Q-Q plot representation was used to check the normality of data and the results of the demonstration proved that most of the representations were not normal. Analyses of the FEMG signals were done with respect to Q-Q plots. Keywords: Q-Q plot, Cascade Neural Network, Convolution Neural Network, Fitting Neural Network, facial electromyography.

1. INTRODUCTION Emotions are very much essential in day to day life of a human and the preliminary research on emotions has led to peculiar real time applications. The face is the vital source of information for revealing the different states of an individual [1]. To accomplish information acquiring and transmission of messages, the facial muscles play a dominant role [2]. A peculiar feature of the facial muscles is the contractions are not voluntary but emotional control [3]. A full-fledged FEMG analysis requires concurrent recording of several facial JARDCS

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muscles. After correct training and motivation, most of the subjects exhibit the emotions namely anger, disgust, fear, happy, neutral and sad within particular frequency bands which can inturn be used as a communication signal. Adaboost classifier with viola jones detector can also be used for identification of humans. The paper is designed as follows: Section2 analyses the obtained FEMG data diagrammatically by way of the Q-Q plot representation. Section3 concludes with the different types of the Q-Q plot representations along with the future work.

2. Q-Q PLOT REPRESENTATION OF FEATURE EXTRACTION ALGORITHMS WITH THE PROPOSED NEURAL NETWORK MODELS Q- Q plots are used for analyzing the distribution of data. These plots are an informal graphical way of the analyzing the fact that the data under study is distributed normally. The graphical method for checking if the data sets under study arise from populations with similar distribution is effected by the quantile – quantile (q-q) plot .Q-Q plots are very useful for comparing the shape of the distribution and it also provides the graphical representation of the properties namely skewness, location and scale which are similar or different in the distributions under study. Q-Q plot gives the plot between the quantiles of the data in the first set and the data in the second set. They are used to check if the data sets under study arise from population with a common distribution and also to check if they have common scale factor and location, similar shapes and if they have a common tail behavior. The advantages of the q-q plot are the sample size involved for q-q plot calculation need not be equal. Also different data distributions can be tested simultaneously. One of the main disadvantages of the q-q plot is that these plots are mainly based on sorting and hence it takes large amount of time when calculating the q-q plot for very large databases. Table 1 demonstrates the calculation of the Q-Q plot parameters for the bandpower feature with the FFNN network for 7 subjects. Parameters namely probability, standardized value and the z- score value are calculated. Figure.1 represents the Q-Q plot for the bandpower and FFNN combination for 7 subjects. The plot between the sample quantities and the theoretical quantities for the band power – FFNN combination is illustrated. From the JARDCS

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figure it is shown that the data distribution of the Q-Q plot for band power and FFNN is normal for some values. The Q-Q plot is left skewed with light tailed pattern since the values are not clustered in a single point but they are spread along the normal line. Table-1: Calculation of Q-Q plot parameters for the bandpower feature with FFNN model for 7 subjects

i

FFNN

prob_in=(i-0.5)/n

z score of i

standardised FFNN

1

89.36

0.07

-1.47

-2.031669977

2

92.32

0.21

-0.79

-0.269585342

3

92.56

0.36

-0.37

-0.126713615

4

93.14

0.50

0.00

0.218559725

5

93.57

0.64

0.37

0.474538237

6

94.14

0.79

0.79

0.813858589

7

94.32

0.93

1.47

0.921012384

Figure 1: Q-Q plot representation for bandpower feature and FFNN for 7 subjects

The calculation of the Q-Q plot parameters for the bandpower and the ENN combination is illustrated in Table 2. The regular parameters like probability function, z score values and the standardized values are calculated and the graph for the Q-Q plot for the sample values and the theoretical values are drawn as shown in Figure.2. From the figure it is evident that the data distribution for the band power and the ENN combination is bimodal in nature since data distribution occurred in both positive as well as negative sides in all the four quadrants.

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i

ENN

prob_in=(i-0.5)/n

z score of i

standardised ENN

1

94.12

0.07

-1.47

0.881317904

2

92.11

0.21

-0.79

0.124288422

3

89.34

0.36

-0.37

-0.918981062

4

90.05

0.50

0.00

-0.651572638

5

94

0.64

0.37

0.836122114

6

94.78

0.79

0.79

1.129894749

7

88.06

0.93

1.47

-1.401069488

Figure 2: Q-Q plot representation for bandpower feature and ENN for 7 subjects

Table 3 shows the Q-Q plot parameter calculation for the statistical features and the FFNN network model. The parameters namely probability value, z score and the standardised FFNN values are computed. The red line drawn across the graph is used to check if the values are distributed parallel along the line. From Figure 3 it is inferred that, the data distribution is said to be heavy tailed since it is clustered towards a particular area. Table-3 : Calculation of Q-Q plot parameters for the statistical features with FFNN model for 20 subjects

i

FFNN

p_i=(i-0.5)/n

z score

standardised FFNN

1

82.54

0.03

-1.96

-2.235491481

2

83.88

0.08

-1.44

-1.717049358

3

85.92

0.13

-1.15

-0.927779261

4

86.92

0.18

-0.93

-0.540882155

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5

86.92

0.23

-0.76

-0.540882155

6

87.5

0.28

-0.60

-0.316481833

7

87.67

0.33

-0.45

-0.250709325

8

87.67

0.38

-0.32

-0.250709325

9

87.67

0.43

-0.19

-0.250709325

10

87.83

0.48

-0.06

-0.188805788

11

88.42

0.53

0.06

0.039463505

12

88.83

0.58

0.19

0.198091318

13

88.92

0.63

0.32

0.232912058

14

89.5

0.68

0.45

0.45731238

15

89.83

0.73

0.60

0.584988425

16

89.92

0.78

0.76

0.619809164

17

90.17

0.83

0.93

0.716533441

18

90.42

0.88

1.15

0.813257718

19

91.33

0.93

1.44

57.16002136

20

94.5

0.98

1.96

60.33002136

Figure 3: Q-Q plot representation for statistical features and FFNN for 20 subjects

The calculation of the Q-Q plot parameters namely probability values, z score values and the standardized values for the statistical features with the ENN model are tabulated in Table 4. Figure 4 represents the Q-Q plot between the sample values and the theoretical values for the statistical features – ENN combination. From the figure it is inferred that, the data distribution is normal for this combination as the distribution of data is parallel to the normality curve represented in red line.

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Journal of Advanced Research in Dynamical and Control Systems Vol. 9. Sp– 17 / 2017 Table -4 : Calculation of Q-Q plot parameters for the statistical features with ENN model for 20 subjects

i

ENN

p_i=(i-0.5)/n

z score

standardised ENN

1

81.79

0.025

-1.96

-0.21532393

2

82.33

0.075

-1.44

-1.686442165

3

83.22

0.125

-1.15

-1.126914289

4

83.67

0.175

-0.93

-0.844006936

5

83.89

0.225

-0.76

-0.705696675

6

84.11

0.275

-0.60

-0.567386413

7

84.44

0.325

-0.45

-0.359921021

8

84.56

0.375

-0.32

-0.28447906

9

84.56

0.425

-0.19

-0.28447906

10

84.67

0.475

-0.06

-0.21532393

11

85.11

0.525

0.06

0.061296593

12

85.44

0.575

0.19

0.268761985

13

85.67

0.625

0.32

0.413359077

14

85.89

0.675

0.45

0.551669338

15

85.89

0.725

0.60

0.551669338

16

86.67

0.775

0.76

1.042042083

17

86.67

0.825

0.93

1.042042083

18

86.89

0.875

1.15

1.180352345

19

87.22

0.925

1.44

1.387817737

20

87.56

0.975

1.96

1.601569959

Figure 4: Q-Q plot representation for statistical features and ENN for 20 subjects

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Table 5 tabulates the Q-Q plot parameters for the statistical features with the CFNN model. The parameters namely probability value, z score values and the standardized values are calculated and a graph is plotted between the sample quantities and the theoretical quantities. The graphical representation is shown in Figure 5. From the figure it is evident that, the distribution of data is normal as the data is distributed parallely along the normality red line. Table -5 : Calculation of Q-Q plot parameters for the statistical features with CFNN model for 20 subjects

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i

CFNN

p_i=(i-0.5)/n

z score

standardised CFNN

1

80.83

0.025

-1.96

-3.003006847

2

88.83

0.075

-1.44

-0.984857084

3

89.08

0.125

-1.15

-0.921789904

4

89.92

0.175

-0.93

-0.709884179

5

90.17

0.225

-0.76

-0.646816999

6

90.5

0.275

-0.60

-0.563568321

7

90.94

0.325

-0.45

-0.452570084

8

91.5

0.375

-0.32

-0.311299601

9

92.25

0.425

-0.19

-0.122098061

10

93.58

0.475

-0.06

-0.419396748

11

93.67

0.525

0.06

0.236123522

12

94.58

0.575

0.19

0.465688058

13

94.67

0.625

0.32

0.488392243

14

94.83

0.675

0.45

0.528755238

15

95.25

0.725

0.60

0.6347081

16

96.25

0.775

0.76

0.886976821

17

96.58

0.825

0.93

0.970225498

18

96.67

0.875

1.15

0.992929683

19

97

0.925

1.44

1.076178361

20

97.58

0.975

1.96

1.222494219

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Figure 5: Q-Q plot representation for statistical features and CFNN for 20 subjects

The computation of the Q-Q plot parameters for the statistical features with the LRN values are shown in Table 6. The parameters calculated are the standardized LRN values, z score values and the probability values. From figure 6, it is evident that the distribution of data for this Q-Q plot combination is normal in nature as well as right skewed as well as light tailed as the data are parallel to the normality line. Table-6 : Calculation of Q-Q plot parameters for the statistical features with LRN model for 20 subjects

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i

LRN

p_i=(i-0.5)/n

z score

standardised LRN

1

79.92

0.025

-1.96

-1.118970892

2

80.42

0.075

-1.44

-0.989174941

3

80.67

0.125

-1.15

-0.924276966

4

82.17

0.175

-0.93

-0.534889113

5

82.25

0.225

-0.76

-1.075229657

6

82.42

0.275

-0.60

-0.469991138

7

83

0.325

-0.45

-0.319427835

8

83.17

0.375

-0.32

-0.275297212

9

83.25

0.425

-0.19

-0.25452986

10

83.42

0.475

-0.06

-0.210399236

11

83.58

0.525

0.06

-0.168864532

12

83.58

0.575

0.19

-0.168864532

13

83.92

0.625

0.32

-0.080603285

14

84

0.675

0.45

-0.059835933

15

85.5

0.725

0.60

0.329551919

16

85.67

0.775

0.76

0.373682542

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17

85.75

0.825

0.93

0.394449895

18

85.92

0.875

1.15

0.438580518

19

87.67

0.925

1.44

0.892866346

20

98.33

0.975

1.96

3.660116018

Figure 6: Q-Q plot representation for statistical features and LRN for 20 subjects

The Q-Q plot parameter calculation for the Multidownsample features with the CFNN model are shown in Table 2.7. The parameters computed are namely z score values, standardized CFNN values and the probability values. From figure 2.7 it is evident that, the data distribution is normal for these values as the data are distributed parallely along the normality curve. Table-7 : Calculation of Q-Q plot parameters for the multidownsample features with CFNN model for 20 subjects

i

CFNN

p_i=(i-0.5)/n

z score

standardised CFNN

1

86.42

0.025

-1.96

-1.98638818

2

88.33

0.075

-1.44

-1.140362665

3

88.5

0.125

-1.15

-1.065061964

4

88.92

0.175

-0.93

-0.87902494

5

89

0.225

-0.76

-0.843589316

6

89.08

0.275

-0.60

-1.054730917

7

89.5

0.325

-0.45

-0.622116668

8

89.75

0.375

-0.32

-0.511380344

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9

90.42

0.425

-0.19

-0.388315376

10

90.75

0.475

-0.06

-0.068435048

11

90.83

0.525

0.06

-0.032999425

12

90.83

0.575

0.19

-0.032999425

13

91.58

0.625

0.32

0.299209548

14

92.42

0.675

0.45

0.671283596

15

92.92

0.725

0.60

0.892756244

16

93.17

0.775

0.76

1.003492568

17

93.25

0.825

0.93

1.038928192

18

93.42

0.875

1.15

1.114228892

19

94.17

0.925

1.44

1.446437864

20

94.83

0.975

1.96

1.73878176

Figure7: Q-Q plot representation for multidownsample features and CFNN for 20 subjects

The computation of the Q-Q plot parameters for the Multidownsample features with the fitting model is demonstrated in Table 8. The parameters computed are the z score values, probability values and the standardized fitting values. A graph is plotted between the sample values and the theoretical values and the graphical illustration is depicted in Figure 8. From the figure it is evident that, the data distribution is bimodal in nature. Table -8 : Calculation of Q-Q plot parameters for the multidownsample features with Fitting model for 20 subjects

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i

Fitting

p_i=(i-0.5)/n

z score

standardised Fitting

1

78.56

0.025

-1.96

-1.561489711

2

80

0.075

-1.44

-1.359227844

3

80.5

0.125

-1.15

-1.288998028

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4

81.42

0.175

-0.93

-1.159775168

5

81.83

0.225

-0.76

-1.10218672

6

83.75

0.275

-0.60

-0.83250423

7

84.67

0.325

-0.45

-0.70328137

8

87.42

0.375

-0.32

-0.317017386

9

88.83

0.425

-0.19

-0.118969307

10

89.58

0.475

-0.06

-0.013624584

11

90.25

0.525

0.06

0.080483368

12

90.67

0.575

0.19

0.139476413

13

91.92

0.625

0.32

0.315050951

14

96.42

0.675

0.45

0

15

96.91

0.725

0.60

1.015944507

16

97.08

0.775

0.76

1.039822644

17

98.06

0.825

0.93

1.177473082

18

98.34

0.875

1.15

1.216801778

19

98.61

0.925

1.44

1.254725879

20

98.72

0.975

1.96

1.270176438

Figure 8: Q-Q plot representation for multidownsample features and Fitting for 20 subjects

The Q-Q plot parameters calculation for the multiupfirdn features with the CFNN model is illustrated in Table 9. Parameters namely z score, standardized CFNN as well as the probability values are calculated and the graph is plotted as shown in Figure 9. From the figure it is evident that the data distribution is bimodal in nature as the data is distributed on either side of the normality curve.

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Journal of Advanced Research in Dynamical and Control Systems Vol. 9. Sp– 17 / 2017 Table- 9 : Calculation of Q-Q plot parameters for the multiupfirdn features with CFNN model for 20 subjects

i

CFNN

p_i=(i-0.5)/n

z score

standardised CFNN

1

89.25

0.025

-1.96

-1.799753629

2

89.58

0.075

-1.44

-1.634362736

3

90.08

0.125

-1.15

-1.383770473

4

90.58

0.175

-0.93

-1.133178211

5

91.33

0.225

-0.76

-0.757289817

6

91.67

0.275

-0.60

-0.586887079

7

92.25

0.325

-0.45

-0.296200054

8

92.33

0.375

-0.32

-0.256105292

9

92.5

0.425

-0.19

0

10

93

0.475

-0.06

0.079688339

11

93.08

0.525

0.06

0.119783101

12

93.5

0.575

0.19

0.330280602

13

93.5

0.625

0.32

0.330280602

14

94.08

0.675

0.45

0.620967626

15

94.17

0.725

0.60

0.666074234

16

94.42

0.775

0.76

0.791370365

17

94.42

0.825

0.93

0.791370365

18

94.75

0.875

1.15

0.956761258

19

96.08

0.925

1.44

1.623336676

20

96.25

0.975

1.96

1.708538046

Figure 9: Q-Q plot representation for multiupfirdn features and CFNN model for 20 subjects

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For the combination multiupfirdn – Fitting model, the Q-Q plot parameters calculated are the z score values, probability values and the standardized Fitting values. The tabulation is done in Table 10. The Q-Q plot data distribution for the sample quantities as well as the theoretical quantities is is demonstrated in Figure 10. From the figure it is understood that, the data distribution for this combination is heavy tailed in nature as the data is clustered within a particular area. Table-10: Calculation of Q-Q plot parameters for the multiupfirdn features with Fitting model for 20 subjects

i

Fitting

p_i=(i-0.5)/n

z score

standardised Fitting

1

89.67

0.025

-1.96

-1.557912154

2

89.75

0.075

-1.44

-1.515613504

3

90.08

0.125

-1.15

-1.341131573

4

90.75

0.175

-0.93

-0.986880379

5

90.92

0.225

-0.76

-0.896995747

6

91.17

0.275

-0.60

-0.764812466

7

91.5

0.325

-0.45

-0.590330535

8

92

0.375

-0.32

-0.325963972

9

92.33

0.425

-0.19

-0.15148204

10

92.58

0.475

-0.06

-0.019298759

11

93

0.525

0.06

0.202769154

12

93.08

0.575

0.19

0.245067804

13

93.58

0.625

0.32

0.509434366

14

93.83

0.675

0.45

0.641617648

15

94.08

0.725

0.60

0.773800929

16

94.17

0.775

0.76

0.821386911

17

94.17

0.825

0.93

45.20058848

18

94.25

0.875

1.15

0.863685561

19

94.5

0.925

1.44

0.995868842

20

96.92

0.975

1.96

2.275403006

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Figure 10: Q-Q plot representation for multiupfirdn features and Fitting model for 20 subjects

The Q-Q plot parameter calculation for the multidecimate features and the Fitting model are tabulated in Table 11. The parameters suitable for calculation are the z score values, probability values and the standardized CFNN values. Figure 11 depicts the Q-Q plot for the multi decimate and the Fitting network combination. From the figure it is evident that, the data distribution is bimodal in nature as the data are distributed on either side of the normality curve. Table -11: Calculation of Q-Q plot parameters for the multidecimate features with CFNN model for 20 subjects

i

CFNN

p_i=(i-0.5)/n

z score

standardised CFNN

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1

83.78

0.025

-1.96

-1.810836401

2

83.84

0.075

-1.44

-1.792126192

3

86.22

0.125

-1.15

-1.049954566

4

86.78

0.175

-0.93

-0.875325948

5

86.89

0.225

-0.76

-0.841023898

6

87.83

0.275

-0.60

-0.547897289

7

88

0.325

-0.45

-0.49488503

8

88.83

0.375

-0.32

-0.236060471

9

88.83

0.425

-0.19

-0.236060471

10

89.17

0.475

-0.06

-0.130035953

11

89.28

0.525

0.06

-0.095733903

12

90.39

0.575

0.19

-0.174212836

13

90.39

0.625

0.32

-0.174212836

14

91.39

0.675

0.45

0.562241783

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15

92.06

0.725

0.60

-0.315846148

16

92.17

0.775

0.76

0.8054745

17

93.67

0.825

0.93

1.273229727

18

93.72

0.875

1.15

1.288821568

19

93.72

0.925

1.44

1.288821568

20

94.78

0.975

1.96

1.619368595

Figure 11: Q-Q plot representation for multi decimate features and CFNN model for 20 subjects

Table 12 tabulates the Q-Q plot parameters for the multi decimate features and the Fitting model. Parameters namely probability values, z score values and the standardized fitting values for the multi decimate- fitting combination are tabulated. The corresponding Q-Q plot is demonstrated in Figure 12. From the figure it is analyzed that the data is distributed bimodally. Table-12 : Calculation of Q-Q plot parameters for the multidecimate features with Fitting model for 20 subjects

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i

Fitting

p_i=(i-0.5)/n

z score

standardised Fitting

1

87.62

0.025

-1.96

-2.680975421

2

89.42

0.075

-1.44

-1.916983375

3

91.42

0.125

-1.15

-1.068103324

4

92.5

0.175

-0.93

-0.609708097

5

93.25

0.225

-0.76

-0.291378078

6

93.33

0.275

-0.60

-0.257422875

7

93.5

0.325

-0.45

-0.185268071

8

93.58

0.375

-0.32

-0.151312869

9

93.67

0.425

-0.19

-0.113113267

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10

94.42

0.475

-0.06

0.205216752

11

94.5

0.525

0.06

0.239171954

12

94.67

0.575

0.19

0.311326759

13

95

0.625

0.32

0.451391967

14

95

0.675

0.45

0.451391967

15

95.17

0.725

0.60

0.523546771

16

95.42

0.775

0.76

0.629656778

17

95.92

0.825

0.93

0.841876791

18

96.42

0.875

1.15

1.054096803

19

96.75

0.925

1.44

1.194162012

20

97.17

0.975

1.96

1.372426823

Figure 12: Q-Q plot representation for multidecimate features and Fitting model for 20 subjects

The Q-Q plot parameters for the Multidownsample features with the CNN model is tabulated in Table 13 . Parameters namely standardized CNN, z score as well as the probability values are calculated. Figure 13 demonstrates the Q-Q plot representation of the Multidownsample and CNN combination. From the figure it is true that the data distribution is bimodal in nature. Table-13 : Calculation of Q-Q plot parameters for the multidownsample features with CNN model for 20 subjects

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i

CNN

p_i=(i-0.5)/n

z score

Standardised CNN

1

99.68

0.025

-1.96

-1.333843382

2

99.69

0.075

-1.44

-0.97334517

3

99.69

0.125

-1.15

-0.97334517

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4

99.69

0.175

-0.93

-0.97334517

5

99.69

0.225

-0.76

-0.97334517

6

99.7

0.275

-0.60

-0.612846959

7

99.7

0.325

-0.45

-0.612846959

8

99.7

0.375

-0.32

-0.612846959

9

99.7

0.425

-0.19

-0.612846959

10

99.71

0.475

-0.06

-0.252348748

11

99.71

0.525

0.06

-0.252348748

12

99.71

0.575

0.19

-0.252348748

13

99.72

0.625

0.32

0.108149463

14

99.73

0.675

0.45

0.340470533

15

99.74

0.725

0.60

0.829145886

16

99.74

0.775

0.76

0.829145886

17

99.75

0.825

0.93

1.189644097

18

99.75

0.875

1.15

1.189644097

19

99.77

0.925

1.44

1.91064052

20

99.77

0.975

1.96

1.91064052

Figure 13: Q-Q plot representation for multidownsample features and CNN model for 20 subjects

Table 2.14 tabulates the Q-Q plot parameters for the upfirdn features with the CNN model namely z score, probability values and the standardized CNN values. Figure 2.14 demonstrates the Q-Q plot for the Multidownsample – CNN combination. From the figure it is true that the data distribution is bimodal in nature.

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i

CNN

p_i=(i-0.5)/n

z score

Standardised CNN

1

99.69

0.025

-1.96

-1.115771414

2

99.69

0.075

-1.44

-1.115771414

3

99.7

0.125

-1.15

-0.777658864

4

99.7

0.175

-0.93

-0.777658864

5

99.7

0.225

-0.76

-0.777658864

6

99.71

0.275

-0.60

-0.439546315

7

99.71

0.325

-0.45

-0.439546315

8

99.71

0.375

-0.32

-0.439546315

9

99.71

0.425

-0.19

-0.439546315

10

99.71

0.475

-0.06

-0.439546315

11

99.71

0.525

0.06

-0.439546315

12

99.71

0.575

0.19

-0.439546315

13

99.72

0.625

0.32

-0.101433765

14

99.73

0.675

0.45

0.236678785

15

99.73

0.725

0.60

0.236678785

16

99.74

0.775

0.76

0.574791335

17

99.74

0.825

0.93

0.574791335

18

99.78

0.875

1.15

1.927241533

19

99.78

0.925

1.44

1.927241533

20

99.79

0.975

1.96

2.265354083

Figure 14 Q-Q plot representation for multiupfirdn features and CNN model for 20 subjects

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The calculation of the Q-Q plot parameters for the multi decimate features with the CNN model is shown in Table 15. Parameters namely z score, probability values as well as the standardized values are computed. Figure 15 illustrates the Q-Q plot graphical representation for the multi decimate- CNN combination. From the figure it is evident that, the data distribution is partially bimodal as well as heavy tailed in nature. Table-15 : Calculation of Q-Q plot parameters for the multidecimate features with CNN model for 20 subjects

i

CNN

p_i=(i-0.5)/n

z score

Standardised CNN

1

99.67

0.025

-1.96

-1.916372412

2

99.69

0.075

-1.44

-1.117883907

3

99.69

0.125

-1.15

-1.117883907

4

99.7

0.175

-0.93

-0.718639655

5

99.7

0.225

-0.76

-0.718639655

6

99.7

0.275

-0.60

-0.718639655

7

99.71

0.325

-0.45

-0.319395402

8

99.71

0.375

-0.32

-0.319395402

9

99.71

0.425

-0.19

-0.319395402

10

99.71

0.475

-0.06

-0.319395402

11

99.72

0.525

0.06

0.07984885

12

99.72

0.575

0.19

0.07984885

13

99.72

0.625

0.32

0.07984885

14

99.72

0.675

0.45

0.07984885

15

99.73

0.725

0.60

0.07984885

16

99.73

0.775

0.76

0.07984885

17

99.75

0.825

0.93

1.277581608

18

99.75

0.875

1.15

1.277581608

19

99.76

0.925

1.44

1.676825861

20

99.77

0.975

1.96

2.076070113

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Figure 15: Q-Q plot representation for multi decimate features and CNN model for 20 subjects

3. CONCLUSION Identifying the person’s emotional state through the FEMG signal has drawn increasing attention. FEMG recording may be considered a sensitive technique for inferring subjective mood states or affective responses. However, it has limitations for many applications under natural life circumstances due to its obtrusiveness and the fact that facial activity is influence by many other, nonaffective, behavioural factors. In this research, mutirate features are proposed to recognize the six facial emotions namely anger, disgust, fear, happy, neutral and sad using the neural network models. In order to facilitate and analyse the FEMG data distribution, Q-Q plot was used. The Q-Q plot representation was used to check the normality of data and the results of the demonstration proved that most of the representations were not normal. Real time experimentation was missing in the previous work. But our proposed system worked well for offline analysis and it could be further interfaced to real time system for proper functioning.

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Jonghwa, K and E. Ande, 2008, ”Emotion Recognition Based on

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