Use of Splines are not yet investigated for compressed sensing (CS). We tried exponential splines (1E-splines) and double sided exponential splines (2E-splines, proposed here) in compressed sensing scenario for ECG reconstruction and found that both outperform commonly used wavelets based approaches. Using these splines, peak root mean Square deviation (PRD) values were much lower for the same amount of measurements when compared to bi-orthogonal wavelets. The frequency domain representations of these 2E-Splines were also investigated.
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Abhishek S., S. Veni, and Narayanankutty, K. A., “Exponential-splines in compressed sensing ECG reconstruction”, International Journal of Pure and Applied Mathematics, vol. 114, pp. 299-310, 2017.