Sparse signal reconstruction from limited data using FOCUSS: a re-weighted minimum norm algorithm

@article{Gorodnitsky1997SparseSR,
title={Sparse signal reconstruction from limited data using FOCUSS: a re-weighted minimum norm algorithm},
author={Irina F. Gorodnitsky and Bhaskar D. Rao},
journal={IEEE Trans. Signal Processing},
year={1997},
volume={45},
pages={600-616}
}

We present a nonparametric algorithm for finding localized energy solutions from limited data. The problem we address is underdetermined, and no prior knowledge of the shape of the region on which the solution is nonzero is assumed. Termed the FOcal Underdetermined System Solver (FOCUSS), the algorithm has two integral parts: a low-resolution initial estimate of the real signal and the iteration process that refines the initial estimate to the final localized energy solution. The iterations areâ€¦Â CONTINUE READING

A novel class of recursively constrained algorithms for localized energy solutions: Theory and application to magnetoencephalography and signal processing

I. F. Gorodnitsky

Ph.D. dissertation, Univ. California, San Diegoâ€¦