title: Computationally efficient real-time interpolation algorithm for non-uniform sampled biosignals.
abstract: This Letter presents a novel, computationally efficient interpolation method that has been optimised for use in electrocardiogram baseline drift removal. In the authors' previous Letter three isoelectric baseline points per heartbeat are detected, and here utilised as interpolation points. As an extension from linear interpolation, their algorithm segments the interpolation interval and utilises different piecewise linear equations. Thus, the algorithm produces a linear curvature that is computationally efficient while interpolating non-uniform samples. The proposed algorithm is tested using sinusoids with different fundamental frequencies from 0.05 to 0.7 Hz and also validated with real baseline wander data acquired from the Massachusetts Institute of Technology University and Boston's Beth Israel Hospital (MIT-BIH) Noise Stress Database. The synthetic data results show an root mean square (RMS) error of 0.9 μV (mean), 0.63 μV (median) and 0.6 μV (standard deviation) per heartbeat on a 1 mVp-p 0.1 Hz sinusoid. On real data, they obtain an RMS error of 10.9 μV (mean), 8.5 μV (median) and 9.0 μV (standard deviation) per heartbeat. Cubic spline interpolation and linear interpolation on the other hand shows 10.7 μV, 11.6 μV (mean), 7.8 μV, 8.9 μV (median) and 9.8 μV, 9.3 μV (standard deviation) per heartbeat.
authors.affiliation: Department of Electrical and Electronic Engineering , Imperial College , South Kensington Campus , London SW7 2AZ , UK.
authors.forename: Onur
authors.initials: O
authors.lastname: Guven
authors.affiliation: Department of Electrical and Electronic Engineering , Imperial College , South Kensington Campus , London SW7 2AZ , UK.
authors.forename: Amir
authors.initials: A
authors.lastname: Eftekhar
authors.affiliation: Texas Instruments Corporation , Delft , Netherlands.
authors.forename: Wilko
authors.initials: W
authors.lastname: Kindt
authors.affiliation: Department of Electrical and Electronic Engineering , Imperial College , South Kensington Campus , London SW7 2AZ , UK.
authors.forename: Timothy G
authors.initials: TG
authors.lastname: Constandinou
keywords: MIT-BIH Noise Stress Database; algorithm segments; computationally efficient real-time interpolation algorithm; data acquisition; electrocardiogram baseline drift removal; electrocardiography; frequency 0.05 Hz to 0.7 Hz; heartbeat; interpolation; isoelectric baseline points; linear curvature; medical signal processing; nonuniform sampled biosignals; piecewise linear equations; real baseline wander data acquisition; signal denoising; signal sampling; standard deviation