**Vol:** 1 **Issue:** 2

**Published In: May 2014**

**Article No: **1 **Page:** 91-106 doi: https://doi.org/10.13052/jmmc2246-137X.121

**Three Dimensional EEG Model and Analysis of Correlation between Sub Band for Right and Left Frontal Brainwave for Brain Balancing Application**

Received 15 April 2013; Accepted 18 May 2014 Publication 4 August 2014

*Journal of Machine to Machine Communications, Vol. 1*, 91–106.

doi: 10.13052/jmmc2246-137X.121

Copyright © 2014 *River Publishers. All rights reserved*.

N. Fuad^{1} and M. N. Taib^{2}

^{1}*Department of Computer Engineering, Faculty of Electrical and Electronic Engineering, Universiti Tun Hussein Onn Malaysia, 86400 Johore, Malaysia*^{2}*Faculty of Electrical Engineering, Universiti Teknologi MARA, 40450 Selangor, Malaysia*

This paper presents power spectral density (PSD) characteristics extracted from three-dimensional (3D) electroencephalogram (EEG) models in brain balancing application. There were 50 healthy subjects contributed the EEG dataset. Development of 3D models involves pre-processing of raw EEG signals and construction of spectrogram images. The resultant images which are two-dimensional (2D) were constructed via Short Time Fourier Transform (STFT). Optimization, color conversion, gradient and mesh algorithms are image processing techniques have been implemented. Then, maximum PSD values were extracted as features and further analyzed using Pearson correlation. Results indicate that the proposed maximum PSD from 3D EEG model were able to distinguish the different levels of brain balancing indexes.

- power spectral density
- 3D EEG model
- brain balancing

A normal human brain contains a hundred billions of neurons as have been figured out by the scientists. About 250,000 neurons are connected to a single neuron. The information will be processed and sent by a normal brain to whole human body. An electrical power will be generated and this signal is named wave [1–4]. Brain is consisted of pair parts known as left hemisphere and right hemisphere. The language, arithmetic, analysis and speech are performed in the left side of the brain. The right side of hemisphere is dominant in the cognitive tasks such as understanding, emotion, perceiving, remembering and thinking [5–8].

The happiness and good health is affected by healthy lifestyle [9]. Referring to a psychiatrist, Dr. Paul Sorgi, the stress feeling and faces mental illness is caused by disability of mind balance control and imbalance lifestyles will be affected by physical and psychology [11]. In contrast, the happiness, satisfaction, healthy and free to communicate with each other are achieved by manage the mind balance [10–12]. Many studies proved that longer and healthier life can be obtained to ensure the human being live in balance in order to improve human potential. Recently, the interests to find the methods for balancing of the brain have been increased [13–15] by using auditory and visual methods in brainwave entrainment that results in more waves that are similar to the frequency following response [14–16]. There are other methods to perform the test namely Transcranial Magnetic or Electric Stimulation. This traditional method included massages, meditation and acupunctures [13–15]. From the previous researches and the review of literature, most of the human want to feel happy and healthy. While, a balance life is become from balance thinking or mind from the brain [1,17]. Nowadays, there is not found a scientific prove of brainwave balancing index using EEG. But there are some techniques or devices to help human felling clam and brain balancing.

The electroencephalogram (EEG) is a device to collect brainwave signal and the frequency of theta-θ, delta-δ , alpha-α and beta-β bands are produced [19]. The EEG raw data is produced in spectral pattern. The power for each spectral powers has the frequency bands: theta-θ (4–8 Hz), delta-δ (0.5–4 Hz), alpha-α (8–13 Hz) and beta-β (13–30 Hz) [20]. These components are utilized and hypothesized to produce the variation of neuronal assemblies [1,21]. Referring to the theory, beta band is the lowest amplitude but the highest frequency band while delta band is opposite to beta band. High beta is occurred when human is inactive, not busy or anxious thinking but the low beta is occurred in positive situations. Human activities such as closing the eyes, relax/reflecting mode and all activities with inhibition control are affected by alpha band. The theta band is occurred when human in stress mode and light sleep also it has been found in baby activities. When human is in profound sleep mode, the delta band is produced [3]. However, EEG topography is produced by several software or toolboxes such as EEGLAB in Matlab embedded module[22]. LORETA is an electromagnet tomography in low resolution and Alzheimer patients need the EEG topography [23]. MEG and EEG signal are normally displayed by using the brainstorm approach [24].

Normally, EEG signals are represented by time domain and the plot of domain is displayed in time-amplitude. In the same time, some additional information can be found from frequency domain signal. So, the method namely Fourier Transform (FT) is implemented to produce this domain. The artifact in EEG can be re-referenced in average of EEG power density spectrum analysis. The result is analyzed using an algorithm of Fourier Transform (FT) algorithm [25]. Discrete Fourier Transform (FFT) is used to estimate the smoothed periodograms by the power spectral density [26]. There are several methods to perform time-frequency analysis and Short Time Fourier Transform (STFT) is one of the method to produced two dimension (2D) EEG outcome named 2D EEG image [27]. However, some differences are recognized among 3D and 2D in term of implementation in technology field. For examples, parameters for 2D baby scanning are height and width and 3D baby scanning are height, width and depth [28]. There are another research done in 3D implementation such as crystal surfaces [29], brain-computer interface (BCI) [30] and assessment some parameters for 3D acoustic scattering; constant, linear and quadratic [31].

In this paper, some methods are proposed to produce 3D EEG model. The resultant of 3D model for EEG is shown and the results used to find the correlation between left and right brainwaves using features extraction of Max PSD from 3D model. The normality is tested using Shapiro-Wilk and Pearson Correlation in Statistical Package for Social Science (SPSS).

The flow diagram in Figure 1 shows the methodology of the research. Some processes have been carried out; data collection, signal pre-processing, 2D and 3D development, features extraction and data analysis on maximum PSD for evaluation.

This research involved 51 volunteers of samples which are 28 males and 23 females with an average age of 21.7. The data are collected from Biomedical Research and Development Laboratory for Human Potential, Faculty of Electrical Engineering, Universiti Teknologi MARA (UiTM) Malaysia. All volunteers are healthy and not on any medication before the tests. These are performed and have fulfilled the requirement provided by ethics committee from UiTM.

Figure 2 shows the experimental setup for EEG recording. The EEG data were recorded using 2-channels (gold disk bipolar electrode) and a reference to two earlobes. The electrodes connections comply to 10/20 International system with the sampling rate of 256Hz. Channel 1 positive was connected to the right hand side (RHS), Fp_{2}. The left hand side (LHS), Fp_{1} was connected to channel 2 positive. Fp_{z} is the point at the center of forehead declared as reference point. MOBIlab was used in wireless EEG equipment and the EEG signal was monitored for five minutes. The Z-checker equipment was used to maintain the impedance to below than 5kΩ. The MATLAB and SIMULINK are used to process the data with the intelligent signal processing technique.

The EEG raw data was processed separately after data collection. The filter of band pass and artifact removal was included in EEG signal pre-processing. The artefacts may be produced when the eyes of volunteers blink. The artefacts can be removed by setting a threshold value in MATLAB tools. The setting of threshold values were below than -100μV and greater than 100μV. Only the meaningful and informatics signal were occurred within -100μV to 100μV. The Hamming windows was used to design the band pass filter with the rate of overlapping of 50% for the frequency 0.5Hz to 30Hz which were theta-θ (4–8 Hz), delta-δ (0.5–4 Hz), alpha-α (8–13 Hz) and beta-β (13–30 Hz). An example of raw EEG signal showed in Figure 3. This signal is from Fp2 and gain maximum value 180 μV. Figure 4 showed filtered signal using band pass filter with 256 Hz frequency sampling and the signal is in time domain plot.

The STFT was used to produce the spectrogram image in 436x342 pixels of image size for Fp1 and Fp2 channel. Each band of frequency was set in a spectrogram image. The Beta band was set from 13Hz to 30Hz, Delta band was set from 0.5Hz to 4Hz, Alpha band (8Hz to 13Hz) and Theta band (4Hz to 8Hz). This method was used for motor imagery EEG signal classification [22,23] and detection of epileptic seizures in EEG collection [24,25]. Therefore, the analysis of time frequency (Equation 1) using STFT was performed. The EEG signal, x(t), the window function, w(t) and signiture of complex conjugate, * are stated in STFT. The signal changed in time and performed using STFT. The small window of data in one time was used to map the signal to 2D function of time and frequency. Then the Fourier Transform (FT) would be multiplied with window function to yield the STFT.

$$STF{T}_{x}^{(w)}(t,f)={{\displaystyle \int}}_{-\infty}^{\infty}[x(t).(t-{t}^{\prime}).{e}^{-j2\pi ft}dt]\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}(1)$$

2D EEG image named spectrogram is in time frequency domain. This image is generated using STFT and the algorithm has explained previously. The outcome showed in Figure 5.

3D EEG models have been developed from EEG spectrogram using image processing techniques. Color conversion, gradient, optimization and mesh algorithms were integrated to developed this model, while the spectogram images are represented in RedGreenBlue (RGB) color. Color conversion was implemented to transform spectogram of RGB to spectogram of gray scale. Gray scale images were used in a data matrix (I) which the values represent intensity within some range which are 0 (black) and 255 (white). Gray scale is the most commonly used images within the context of image processing. Equation 2 is implemented to RGB values of the pixels in the image to gray scale values of pixels.

$$P=C\times R\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}(2)$$

where C is the column value of the pixel, R is the row value and P is gray value.

Then, Optimization Options Reference (OOR) was implemented to gray scale pixels image for optimization technique. There were severals options in OOR using MATLAB software but for this research, DiffMaxChange (Maximum change in variables for finite differencing) option have been chosen. The natural shape can be found from pixels value. This shape related to the maximum of certain energy function computed from the surface position and squared norm. A finite number of points were generated for the height of the optimized surface. Then the matrices of pixels value were resized using Gradient and Mesh algorithm into vectors. Two vector arguments replaced the first two matrix arguments, length(x) = n and length(y) = m where [m, n] = size (z). A vectors x is included matrix X (rows) and a vectors y is for matrix Y (columns). Matrix X and Y can be evaluated using MATLAB’s array mathematics features. The pixels value for one part of gray scale for gray scale spectrogram is shown in Figure 6. The outcome will implement optimization technique named Optimization Options Reference (OOR).

The 3D EEG model for 2D EEG image (Figure 6) is shown in Figure 7. The model has been implemented Mesh and Gradient algorithm.

A spectral of power spectral density (PSD) was produced from Three Dimension (3D) model, then the max PSD was choosed as features to analyze. Using Shapiro-Wilk technique in Statistical Package for Social Science (SPSS) software, the normality is tested. Shapiro-Wilk is selected because of the small size of samples. If the value of p is small enough which is less than 0.05 (p < 0.05), the data is considered as significant but not in normal distribution. Pearson Correlation showed the correlation between sub band for left and right brainwaves. Brainwave correlation is calculated using the formula as shown by (Equation 3).

$$Pearson\_Correlation=\frac{{\displaystyle \sum ({x}_{i}-x)}({y}_{i}-y)}{(N-1){s}_{x}{s}_{y}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}(3)$$

where the mean of the sample is represent by and and xi and yi is the data point and N is the number of samples. Correlation is the linear relationship between two variables. Zero correlation indicates that there is no relationship between the variables. Correlation of negative 1 indicates a perfect negative correlation, meaning that as one variable goes up, the other goes down. Correlation of positive 1 indicates a perfect positive correlation, meaning that both variables move in the same direction together.

The development of 3D EEG models have been successful using optimization; gradient and mesh algorithms as shown in Figure 8 (a)-(h) . These show each of frequency bands for Fp1 and Fp2 channels. The 3D model is spectral of PSD and a different max PSD produced by each frequency band. Eight 3D models for channels Fp1 and Fp2 are produced by EEG sample. The 3D model produced as depicted in Table 1.

Index | Samples | 3D Model |

Index 3 | 9 | 72 |

Index 4 | 37 | 296 |

Index 5 | 5 | 40 |

The brain balancing index was analyzed offline from previous work [18]. The percentage difference between left and right brainwaves was calculated from PSD values of EEG signals using the asymmetry formula as shown by (2). Table 2 shows the respective index and range of balance score. There were three groups; index 3 (moderately balanced), index 4 (balanced) and index 5 (highly balanced).

$$\text{Percentage}\text{of}\text{\hspace{0.17em}}\text{asymmetry}=2x\frac{{\displaystyle \sum l}eft-{\displaystyle \sum r}ight}{{\displaystyle \sum l}eft+{\displaystyle \sum r}ight}x100\%\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}(4)$$

Balanced Group/Index | Percentage Difference Between Left and Right | Subjects |

Moderately Balanced - 3 | 40.0%-59.9% | 9 |

Balanced - 4 | 20.0%-39.9% | 37 |

Highly Balanced - 5 | 0.0%-19.9% | 5 |

Significant level, *p* which is the confidence interval for mean is 95%. Table 3 shows Shapiro-Wilk test for checking normality of the dependent variables which is max power spectral density (PSD) data for each sub bands left and right.

Shapiro-Wilk | ||

Sub band | Statistic | Sig. |

Delta Left | 0.956 | 0.054 |

Delta Right | 0.954 | 0.047 |

Theta Left | 0.966 | 0.152 |

Theta Right | 0.950 | 0.030 |

Alpa Left | 0.946 | 0.022 |

Alpa Right | 0.910 | 0.001 |

Beta Left | 0.855 | 0.000 |

Beta Right | 0.884 | 0.000 |

It shows that p < 0.05 for certain data in bands, so that the data distributed not in normal pattern (blue color). In the other hand, the delta right, theta right, alpha (left and right) side and beta (left and right) side of the brain fulfill the hypothesis. Some data can be seen that p > 0.05 and this is true for delta left side and theta left side. The data is normally distributed (red color). Therefore the result showed that mixing between normal distribution and not normal distribution, resulted to nonparametric types of data.

The confidence interval (significant level, *p*) for mean is 95%. Table 4 depict the Pearson Correlation to analyze the correlation between sub band for left and right brainwave. There was a strong positive relationship between right and left side of brain for all sub bands with r > 0.5 for all sub bands at left and right side. For Index 3, alpa band is the highest correlation values (r=0.960), Index 4 theta band is the highest (r=0.622) and for Index 5 beta band is the highest value (r=0.946).

Table 3 and 4 produce results which caused by the outliers and it needs to be analyzed in the future.

In this paper, 3D EEG model is generated using signal processing and image processing. The artifact removal and band pass filter are implemented for preprocessing signal stage. The resultant images which are two-dimensional (2D) EEG image or spectrogram were constructed via Short Time Fourier Transform (STFT). Optimization, color conversion, gradient and mesh algorithms are image processing techniques have been implemented to produce this model. Results indicate that the proposed maximum PSD from 3D EEG model were able to distinguish the different levels of brain balancing indexes. The statistical analysis for LHS and RHS shows that the data is significant for all bands except delta and theta LHS. All bands from the left and right side of the brain are positively correlated. Further analysis consisting of other feature extraction technique will be done as future work.

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**N. Fuad** (Norfaiza Fuad) has received BSc Hon’s in Computer Engineering from Universiti Teknologi Malaysia in 2003 and M.Sc in Computer System Engineering from Universiti Putra Malaysia in 2006. Currently is pursing PhD in Faculty of Electrical Engineering, Universiti Teknologi MARA, Shah Alam, Malaysia. Her Professional Memberships are member IEM (graduated) and IEEE. Her current research interests are in advanced signal processing with applications in biomedical, Image Processing, Biomedical, Embedded System, Microprocessor and Microcontroller and Data Encryption.