Benchmarking Compressed Sensing, Super-Resolution, and Filter Diagonalization
Data Analysis, Statistics and Probability
2015-02-24 v1 Chemical Physics
Quantum Physics
Abstract
Signal processing techniques have been developed that use different strategies to bypass the Nyquist sampling theorem in order to recover more information than a traditional discrete Fourier transform. Here we examine three such methods: filter diagonalization, compressed sensing, and super-resolution. We apply them to a broad range of signal forms commonly found in science and engineering in order to discover when and how each method can be used most profitably. We find that filter diagonalization provides the best results for Lorentzian signals, while compressed sensing and super-resolution perform better for arbitrary signals.
Cite
@article{arxiv.1502.06579,
title = {Benchmarking Compressed Sensing, Super-Resolution, and Filter Diagonalization},
author = {Thomas Markovich and Samuel M. Blau and Jacob N. Sanders and Alan Aspuru-Guzik},
journal= {arXiv preprint arXiv:1502.06579},
year = {2015}
}