Super-resolution of positive spikes by Toeplitz low-rank approximation. Condat, L. & Hirabayashi, A. In 2015 23rd European Signal Processing Conference (EUSIPCO), pages 459-463, Aug, 2015.
Super-resolution of positive spikes by Toeplitz low-rank approximation [pdf]Paper  doi  abstract   bibtex   
Super-resolution consists in recovering the fine details of a signal from low-resolution measurements. Here we con sider the estimation of Dirac pulses with positive amplitudes at arbitrary locations, from noisy lowpass-filtered samples. Maximum-likelihood estimation of the unknown parameters amounts to a difficult nonconvex matrix problem of structured low rank approximation. To solve it, we propose a new heuristic iterative algorithm, yielding state-of-the-art results.

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