An Efficient ECG Approximation using Chebyshev Polynomial Interpolation
Om Prakash Yadav1, Shashwati Ray2

1Om Prakash Yadav, Department of Electronics and Telecommunication, Bhilai Institute of Technology, Durg (Chhattisgarh), India.
2Shashwati Ray, Department of Electrical Engineering, Bhilai Institute of Technology, Durg (Chhattisgarh), India.
Manuscript received on 05 January 2019 | Revised Manuscript received on 13 January 2019 | Manuscript published on 30 January 2019 | PP: 16-22 | Volume-8 Issue-3, January 2019 | Retrieval Number: B2550128218/19©BEIESP
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Abstract: An ECG (Electrocardiography) is a simple, noninvasive method plotting potentials generated due to cardiac activity. The recorded signal is also called as ECG (Electrocardiogram) consist of waves viz., P, QRS, T and U are variable shape and timing characteristics. These signals are often contaminated with noises of variable frequency and amplitude during acquisition and transmission. These noises must be reduced for better clinical evaluation. Volume of data generated through ECG recorders is also very large. Lagrange-Chebyshev interpolation technique along with total variation approach has been presented for approximation of ECG signals of MIT-BIH database. The standard ECG assessment tools has been utilized to measure the performance the proposed method. The results obtained are found to be better than exiting techniques.
Keyword: ECG Signal, Total Variation Denoising, First Difference, Second Differences, Majorization-Minorization optimization, Bottom-Up Algorithms, Chebyshev Nodes, Lagrange Interpolation.
Scope of the Article: Approximation and Randomized Algorithms