Joint power line interference suppression and ECG signal recovery in transform domains

This work addresses the electrocardiogram (ECG) recovery problem in the presence of power line interference (PLI) that corrupts the signal quality if it is not effectively suppressed. In this paper, the PLI is modeled as a linear superposition of sinusoidal signals, which has a sparse representation in the frequency domain. To accurately reconstruct the ECG, the time, second-order difference, and wavelet domains are exploited to sparsely represent the ECG. From the reformulations conducted, a novel joint optimization estimation is devised to simultaneously perform the ECG recovery and PLI suppression in the transform domains. Moreover, in order to solve the optimization problem, two efficient schemes based on the greedy algorithm together with the basis pursuit (BP) are developed. Finally, numerical studies demonstrate that the performance of the joint estimation algorithm is superior to the state-of-the-art approaches.