by C.J. Rozell and D.H. Johnson
Abstract:
We considered signal reconstruction with redundant expansions under distributed processing in noisy environments. Redundant expansions have the ability to reduce noise corrupting the coefficients, but distributed processing schemes will not be able to take full advantage of the redundancy present. We apply frame theory and a generalization called "frames of subspaces" to find conditions when distributed reconstruction suffers no loss in noise reduction ability, and we bound performance loss in more general cases.
Reference:
Analysis of noise reduction in redundant expansions under distributed processing requirementsC.J. Rozell and D.H. Johnson. pp. 185–188, March 2005.
Bibtex Entry:
@CONFERENCE{rozell.04d,
author = {Rozell, C.J. and Johnson, D.H.},
title = {Analysis of noise reduction in redundant expansions under distributed processing requirements},
booktitle = {{Proceedings of the International Conference on Acoustics, Speech, and Signal Processing (ICASSP)}},
year = {2005},
address = {Philadelphia, PA},
month = {March},
pages = {185--188},
abstract = {We considered signal reconstruction with
redundant expansions under distributed processing in noisy environments.
Redundant expansions have the ability to reduce noise corrupting the
coefficients, but distributed processing schemes will not be able
to take full advantage of the redundancy present. We apply frame
theory and a generalization called ``frames of subspaces'' to find
conditions when distributed reconstruction suffers no loss in noise
reduction ability, and we bound performance loss in more general cases.},
url = {http://siplab.gatech.edu/pubs/rozellICASSP2005.pdf},
}