Cite Details
Brendt Wohlberg, "Noise Sensitivity of Sparse Signal Representations: Reconstruction Error Bounds for the Inverse Problem",
IEEE Transactions on Signal Processing, vol. 51, no. 12, doi:
10.1109/TSP.2003.819006, pp. 3053--3060, Dec 2003
Abstract
Certain sparse signal reconstruction problems have been shown
to have unique solutions when the signal is known to have an
exact sparse representation. This result is extended to
provide bounds on the reconstruction error when the signal has
been corrupted by noise, or is not exactly sparse for some
other reason. Uniqueness is found to be extremely unstable for
a number of common dictionaries.
BibTeX Entry
@article{wohlberg-2003-sensitivity,
author = {Brendt Wohlberg},
title = {Noise Sensitivity of Sparse Signal Representations: Reconstruction Error Bounds for the Inverse Problem},
year = {2003},
month = Dec,
urlpdf = {http://brendt.wohlberg.net/publications/pdf/wohlberg-2003-sensitivity.pdf},
journal = {IEEE Transactions on Signal Processing},
volume = {51},
number = {12},
doi = {10.1109/TSP.2003.819006},
pages = {3053--3060}
}
