Ramanujan Periodic Transform (RPT) is the newly emerging transform to identify periodicities in the given data. RPT represents the given finite length sequence into a weighted linear combination of signals from Ramanujan subspaces. RPT has the inability of handling the frequency components with in the Ramanujan subspace. This is due to the basis function (Ramanujan sum) used in RPT. To overcome this, a new mixed basis representation is proposed which uses both the sequences from Ramanujan subspace and complex exponentials as basis and both the basis are orthogonal to each other. Using this mixed basis representation, the problem of removing Power Line Interference (PLI) in ECG data is addressed. The methodology is tested on the MIT-BIH Arrhythmia database and the obtained results are competitive when compared with other techniques. © 2017 IEEE.

Vijay Kumar Chakka

Electrical Engineering

(SoE) School of Engineering

Shaik B.S.

Goli S.

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Shiv Nadar University

Ramanujan and DFT mixed basis representation for removal of PLI in ECG signal

2017 4th International Conference on Signal Processing and Integrated Networks, SPIN 2017

In signal processing applications the information about the signal such as frequency (or) period is known a prior for most of the practical signals like ECG, EEG, speech, etc. Inspired by this, in this paper, we propose a new signal representation to estimate the period and frequency information of a given signal with low computational complexity. We achieve this by representing a finite-length discrete-time signal as a linear combination of signals belongs to Ramanujan subspaces. Further, we evaluate the performance of the proposed representation with a simulated example and also by addressing the problem of reducing Power Line Interference (PLI) in an ECG signal. Finally, for a given integer-valued signal, we show that the computational complexity of the proposed transform is quite low in comparison with the existing transforms, and it is quite comparable for a given real (or) complex-valued signal. © 2020 IEEE.