Signal recognition and adapted filtering by non-commutative tomography
Data Analysis, Statistics and Probability
2015-02-03 v1 Information Retrieval
Numerical Analysis
Abstract
Tomograms, a generalization of the Radon transform to arbitrary pairs of non-commuting operators, are positive bilinear transforms with a rigorous probabilistic interpretation which provide a full characterization of the signal and are robust in the presence of noise. Tomograms based on the time-frequency operator pair, were used in the past for component separation and denoising. Here we show how, by the construction of an operator pair adapted to the signal, meaningful information with good time resolution is extracted even in very noisy situations.
Cite
@article{arxiv.1211.5986,
title = {Signal recognition and adapted filtering by non-commutative tomography},
author = {Carlos Aguirre and R. Vilela Mendes},
journal= {arXiv preprint arXiv:1211.5986},
year = {2015}
}
Comments
19 pages, 7 figures. arXiv admin note: substantial text overlap with arXiv:1107.0929