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IRJET- Study of Hypocalcemic Cardiac Disorder by Analyzing the Features of ECG Signal using DWT Technique
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1.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 06 | June 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 328 Study of Hypocalcemic Cardiac Disorder by Analyzing the Features of ECG Signal Using DWT Technique Deeksha Bekal Gangadhar1, Dr. Ananth A. G.2 1Student, Dept. of Electronics and Communication Engineering, NMAMIT, Nitte, Karnataka, India 2Professor, Dept. of Electronics and Communication Engineering, NMAMIT, Nitte, Karnataka, India ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - Heart diseases are one of the most fatal diseases leading to deaths if they are not diagnosed and treated properly on time. The electrical signals (ECG signals)fromthe heart are monitored for detecting the cardiac disorders and heart diseases. The ECG signals are significantly affected by the various noises produced by the electronic devices used for monitoring the ECG signals. It is very essential to develop an effective de-noising technique to generate accurate ECG signals to monitor diseases in heart patients. Further the strategies are development and designed for the detection of hypocalcaemia from the QRS complex of the ECG signal using wavelet transform technique. The paper presents the effective de-noising technique and statistical parameters like Mean Square Error (MSE), Root Mean SquareDeviation(RMSD) and Percentage Deviation (PD) are estimated for the ECG signal which gives the amount of error in the ECG signal. The comparison between parameter is made to distinguish between healthy person and the cardiac patients. Key Words: AD, Hypocalcemia, DWT,ECG,Mean,MSE,PD, RMSD. 1. INTRODUCTION The electrical wave duration decides whether the electrical activity is normal, slow or irregular. Range of the frequencies of an ECG signal is 0.05–100 Hz. ECG signal has five peaks that are named as P, Q, R, S and T. Another peak called U is also seen in some cases[1]. P, QRS and T are the waves present in ECG signal. The wave corresponds atria depolarization,ventriculardepolarization, and ventricular re-polarization. ECG signal showing various peak intervals is as shown in Figure 1. ECG signal has three segments namely, PR segment, ST segment and TP segment. Normally, P-R interval is in the range of 0.12 to 0.2 second. Range of QRS interval is from 0.04 to 0.1 second and the Q-T interval is less than 0.42 second[2]. Usually ECG signals are contaminated by various kinds of noise. Hence proper de- noising of the ECG signal is carried out. Wavelet transform is applied to the de-noised ECG signal to obtain various peaks in the ECG signal like Q, R and S-peak. From the peaks the average rise time andaverage fall timeof ECG signal is determined. From the detectedQ,RandS-peaks the QRS complex is determined. With the help of detected QRS complex, the interval between QRS complex of ECG signal is calculated. After the calculation of these interval, hypocalcemia is determined[4]. From the resulting value of QRS complex it is detected whether the patient is normal or not. Patient is normal if he has a QRS complex within 0.1 second other than this range it is seen that hypocalcaemia is present. Fig -1: ECG signal showing various peak intervals[3]. Mean value is determined forthe occurrence of QRScomplex of ECG signal obtained from the Q, R and S-peaks. From the determined mean value and sum of squared difference of occurrence of the interval the value of RMSD is calculated. Deviation of the value from mean value is determined. Average Deviation (AD) from mean is calculated. From the values of mean and average deviation from mean the Percentage Deviation (PD) is calculated. 2. LITERATURE SURVEY Muhammad Arzaki et al. 2017 [5], describes about the Mean Square Error (MSE). MSE is a method to evaluate the difference between actual and predicted data. Modjtaba Rouhani et al. 2009 [6], describes about the RMSD. RMSD is the square root of average of squared errors. It is a non negative value. Lower RMSD yields better results.. It is a measure of accuracy to compare errors. Nicolae Marius Roman et al. 2015 [7], describes about hypocalcemia. The conditionin which there is lower levelsof calcium in plasma. If the ECG signal has prolongation of QT
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International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 06 | June 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 329 interval because of lengthening of ST segment which is directly proportional to hypocalcaemia. M. J Burke et al. 2009 [8], describes about the average rise and fall time for the ECG signal. Average rise time is the average timeit takes for the edge of the pulsetoraisefromits minimum to maximum value(Q-peaktoR-peak).Averagefall time is the average time it takes for the edge of the pulse to move from its maximum to minimum value (R-peak to S- peak). Hudson et al. 2017 [9] presented, describes about the Savitzky Golay filter. Peakshapepreservationpropertyofthe Savitzky Golay filters are attractive in applications such as ECG signal processing. The major advantageofthismethodis the preservation of important features of the original time series, like relative widths and heights. SG filter fits a polynomial in a window of points around each sample point using least squares fitting. Lim Choo Min et al. 2007 [10], describes the steps in ECG signals analysis. 3. PROPOSED METHODOLOGY The proposed methodology is based on the technique to detect hypocalcemia using DWT based on QRS complex detection. RMSSD and Percentage deviation are determined for normal and abnormal signal. Original input signals are taken from MIT-BIH Database directory of ECG signals from www.physionet.org. Flow chart isasshowninFigure2which depicts the steps involved in the detection which are as follows: 3.1 De-noising of ECG signal The derivative based approach amplifies high frequency noises, which leads to high difference signals due to noise. Therefore, initially smoothing and filtering of ECG signal is carried out to eliminate low frequency noises in ECG signal. Smoothing of the signal is done using SG filtering. Smoothened ECG signal isFIRfiltered,hencede-noisedsignal is obtained. 3.2 Detection of Q, R and S-peaks Physiologic signals are frequently non stationary which means that their frequency content changes over time. Signals are often localizedintimeandfrequency,analysisand estimation are easier when working with reduced representations. DWT is used to find the Q-peak, R-peak and S-peak from the ECG signal. DWT transformation is as given by the equation 1. Where, is the signal to be analysed, is the mother wavelet. All the wavelet functions used in the transform are derived from the mother waveletthroughwavelettranslation ( ) and scaling ( ). 3.3 Calculation of Average Rise Time (ART) and Average Fall Time (AFT) ART and AFT are calculated from the detected Q, R and S peaks of the de-noised ECG signal. ART and AFT are calculated in seconds. ART is obtained by finding average of the duration between Q and R-peaks. Average Fall Time is obtained by findingaverage of the duration betweenRandS- peaks. Average QRS complex is determined from Q, R and S- peak. 3.4 Detection of hypocalcemia From the obtained Q, R and S-peaks of ECG signal, QRS complex of ECG signal is determined. From these complexes, the time interval between their occurrences is determined. Duration between the QRS complex is calculated in seconds. If the QRS complex duration is below 0.1 second then it is a normal condition. If the QRS complex duration is above 0.1 second then hypocalcemia is detected. 3.5 Calculation of MSE MSE is definedas the averagesquareddifferencebetween the estimated values and what is to be estimated. MSE is a non negative value and values closer to zero are better. Smaller value of Mean Square error gives better results. MSE is given by equation 2. Where, 𝑀𝑆𝐸 is the Mean Square Error. 𝑌 is the mean value. 𝑌′ is the obtained value. n is the number of samples. 3.6 Calculation of RMSD RMSD is defined astheaverageofsquarederrors.RMSDis always a non negative and a value of zero indicates a perfect fit to data which is an ideal condition. RMSD values closer to zero indicates better results. Lower RMSD is better than higher value of RMSD. Thus larger errors have a disproportionately large effect on RMSD. RMSD is given by the equation 3.
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International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 06 | June 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 330 Where, MSE is the Mean Square Error. RMSD is the Root Mean Square Deviation. 3.7 Calculation of Percentage Deviation (PD) Percentage Deviation (PD) refers to how much the mean of a set of data differs from a known or theoretical value. Mean and Average Deviation (AD) is used to find percentage deviation. Mean is defined as the ratio of sum of values of all data points to the number of data points. Average deviation gives the average variation of the data points from the mean value. Percentage deviation is given by the equation 4. Where, 𝑃𝐷 is the Percentage Deviation. 𝑌 is the mean value. The value of MSE, RMSD and PD are the measures for calculation of accuracy which gives the amount of error present in the ECG signal. Fig -2: Flow chart. 4. RESULTS AND DISCUSSION Original ECG signals are taken from MIT-BIH database directory of physionet. These signals are smoothened and filtered to remove low frequency noises presentinthesignal to obtain de-noised signal. SinceECGsignal isnonstationary, wavelet transform is applied to the de-noised ECG signal to obtain Q, R and S-peak which forms the QRS complex. From the obtained peaks, average QRS complex duration is determined. Depending onthevalueofaverageQRScomplex duration, patients are classified as normal or hypocalcemic. If the average QRS complex duration is below 0.1 second then the condition is normal. If it is above 0.1 second then the condition is hypocalcaemia. Three ECG signals MIT-BIH 200, MIT-BIH 203 and MIT- BIH 107 are used as test signals. The original and de-noised MIT-BIH 200, MIT-BIH 203, MIT-BIH 107 ECG signals are as shown in the Figure 3, Figure 6, Figure 9. The filtered noise and the R-peaks of MIT-BIH 200, MIT-BIH 203, MIT-BIH 107 ECG signal are as shown in the Figure 4, Figure 7, Figure 10. The S-peaksand Q-peaks of MIT-BIH 200,MIT-BIH203,MIT- BIH 107 ECG signal is as shown in the Figure 5, Figure 8, Figure 11. Fig -3: Original and de-noised MIT-BIH 200 ECG signal. Fig -4: Filtered noise and the R-peaks of MIT-BIH 200 ECG signal.
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International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 06 | June 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 331 Fig -5: S-peaks and Q-peaks of MIT-BIH 200 ECG signal. Fig -6: Original and de-noised MIT-BIH 203 ECG signal. Fig -7: Filtered noise and the R-peaks of MIT-BIH 203 ECG signal. Fig -8: S-peaks and Q-peaks of MIT-BIH 203 ECG signal. Various statistical analysis of the parameters are carried out for MIT-BIH 200, MIT-BIH 203 and MIT-BIH 107 ECG signals are as shown in the Table 1. Average QRS complex duration for MIT-BIH 200 ECG signal is 0.0702 second. Therefore the heart condition is normal. Average QRS complexdurationfor MIT-BIH 203 ECG signal is 0.1750 second. Therefore the heart condition is hypocalcaemia. Average QRS complex duration for MIT-BIH 107 ECG signal is 0.1775 second. Therefore the heart condition is hypocalcaemia. Fig -9: Original and de-noised MIT-BIH 107 ECG signal.
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International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 06 | June 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 332 Fig -10: Filtered noise and the R-peaks of MIT-BIH 107 ECG signal. Fig -11: S-peaks and Q-peaks of MIT-BIH 107 ECG signal. Table -1: Calculated values of various parameters of QRS complex for MIT-BIH 200, MIT-BIH 203 and MIT-BIH 107. 5. CONCLUSION ECG is a very useful bio-signal which isusedbyphysiciansfor the purpose of diagnosing and monitoring heart disease and cardiac disorder. Therefore it becomes essential to examine ECG signal so as to detect chronic diseases in its early stages. ECG signals are prone to variousnoises.Thereforede-noising of the ECG signal is carried out where low frequency noises are removed. A method has been proposed to detect heart conditions. From the detected Q, RandS-peaksusingwavelet transform the QRS complex and its duration is determined. Depending on this duration hypocalcaemia is detected. In MIT-BIH 200, normal condition is observed. Hypocalcemia condition is detected in MIT-BIH 203 and MIT-BIH 107 ECG signals. Statistical parameters are analyzed which are effectively used for distinguishing between the normal persons and cardiac patients. MSE, RMSD and Percentage Deviation (PD) forMIT-BIH 200 are less thanthatofMIT-BIH 203 and MIT-BIH 107 as a result of variation inthesignaldue to hypocalcemia. ACKNOWLEDGEMENT We extend our gratitude towards the institute for the constant support. We would like to acknowledgeoursincere thanks to the HOD of ECE Department for the encouragement. Finally, we would also like to thank principal and all the faculties of the department for their support. REFERENCES [1] Kannathal N, Acharya UR, Joseph KP, Min LC, Suri JS. “Analysis of electrocardiograms”.InAdvancesinCardiac Signal Processing 2007 (pp. 55-82). Springer, Berlin, Heidelberg. [2] Saritha C, Sukanya V, Murthy YN. “ECG signal analysis using wavelet transforms”. Bulg. J. Phys. 2008 Feb;35(1):68-77. [3] Prasad ST, VaradarajanS.“ECGSignal Analysis:Different Approaches”. International Journal of Engineering Trends and Technology. 2014 Jan;7(5):212-6. [4] Azariadi D, Tsoutsouras V, Xydis S, Soudris D. “ECG signal analysis and arrhythmia detection on IoT wearable medical devices”. In2016 5th International conference onmoderncircuitsandsystemstechnologies (MOCAST) 2016 May 12 (pp. 1-4). IEEE. [5] Mandala S, Fuadah YN, Arzaki M, Pambudi FE “Performance analysis of wavelet-based denoising techniques for ECG signal”. InInformation and Communication Technology (ICoIC7), 2017 IEEE 5th International Conference (pp. 1-6). [6] Rouhani M, Soleymani R. “Neural Networks based Diagnosis of heart arrhythmias using chaotic and nonlinear features of HRV signals”.In2009International Association of Computer Science and Information Technology-Spring Conference 2009 Apr 17 (pp. 545- 549). IEEE.
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International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 06 | June 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 333 [7] Ciupe AM, Roman NM. Study of ECG signal processing using wavelet transforms. In2015 9th International Symposium on Advanced Topics in Electrical Engineering (ATEE) 2015 May 7 (pp. 27-30). IEEE. [8] Baba A, Burke MJ. Measurement of the electrical properties of ungelled ECG electrodes. Int. J. Biol. Biomed. Eng. 2008;2(3):89-97. [9] Dai W, Selesnick I, Rizzo JR, Rucker J, Hudson T. A nonlinear generalization of the Savitzky-Golayfilterand the quantitative analysis of saccades. Journal of vision. 2017 Aug 1;17(9):10-14. [10] N. Kannathal, U. Rajendra Acharya, Paul Joseph, Lim Choo Min and Jasjit S. Suri “Analysis of Electrocardiograms”. springer, pp.542-550
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