Ramanujan Periodic Transform (RPT) is a newly emerging transformation technique in the field of signal processing. It uses an integer bases (obtained from Ramanujan sum) for transformation. A recorded ECG signal often contains artifacts (bioelectric signals) namely, baseline wander, muscle artifacts (EMG-Electromyogram), motion artifacts, powerline interference (PLI) and its harmonics. With certain precautions during signal recording we can avoid both muscle and motion artifacts. The other noises can be reduced by preprocessing of the recorded ECG signal. In this paper, RPT is used for preprocessing, to reduce baseline wander noise, PLI and its harmonics. The proposed methodology is tested on a record from MIT-BIH Arrhythmia database for different block sizes. A sum (E) of Euclidean errors per block (ei-ith block), is used as a measure to compare the results of RPT with notch filter technique. From the results, the RPT is reducing the noise with minimum error (E), when compared with notch filter technique. © 2016 IEEE.

Vijay Kumar Chakka

Electrical Engineering

(SoE) School of Engineering

Shaik B.S.

<p>Shiv Nadar University is a comprehensive, multidisciplinary, research-focused, and student-centric University offering a full range of academic programs at the undergraduate, postgraduate and doctoral level. With state-of-the-art infrastructure, the University comprises of academic wings, sophisticated labs, international standard sports facilities, amphitheaters, auditorium, conference rooms and smart classrooms. The University&rsquo;s goal is to become internationally recognized for the quality of its research and creative endeavors and their applicability to improving quality of life, generating new insights and expanding the boundaries of human knowledge creativity. Committed to excellence in teaching, research and service, the University aims to serve the higher education needs of India and the world beyond.</p>

Shiv Nadar University

Joint reduction of baseline wander, PLI and its harmonics in ECG signal using Ramanujan Periodic Transform

2016 IEEE Annual India Conference, INDICON 2016

This letter introduces a real valued summation known as complex conjugate pair sum (CCPS). The space spanned by CCPS and its one circular downshift is called complex conjugate subspace (CCS). For a given positive integer N ≥ 3, there exists φ(N)/2 CCPSs forming φ(N)/2 CCSs, where φ(N) is the Euler's totient function. We prove that these CCSs are mutually orthogonal and their direct sum form a φ(N) dimensional subspace sN of ℂN. We propose that any signal of finite length N is represented as a linear combination of elements from a special basis of sd, for each divisor d of N. This defines a new transform named as complex conjugate periodic transform (CCPT). Later, we compared CCPT with discrete Fourier transform (DFT) and Ramanujan periodic transform (RPT). It is shown that, using CCPT, we can estimate the period, hidden periods, and frequency information of a signal. Whereas, RPT does not provide the frequency information. For a complex valued input signal, CCPT offers computational benefit over DFT. A CCPT dictionary based method is proposed to extract non-divisor period information. © 2018 IEEE.

IEEE Signal Processing Letters

A New Signal Representation Using Complex Conjugate Pair Sums

IEEE Transactions on Communications

Baseline Wander Cancellation on Trellis for Perpendicular Magnetic Recording

2015 IEEE International Conference on Electronics, Computing and Communication Technologies (CONECCT)

A novel approach for QRS delineation in ECG signal based on chirplet transform

IEEE Transactions on Signal Processing

Ramanujan Sums in the Context of Signal Processing—Part I: Fundamentals

Ramanujan Sums in the Context of Signal Processing—Part II: FIR Representations and Applications

International Symposium on Computer Science and its Applications

A Robust QRS Complex Detection Algorithm Using Dynamic Thresholds