Signal recognition and adapted filtering by non-commutative tomography

Carlos Aguirre; R. Vilela Mendes

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arXiv · 1211.5986

Signal recognition and adapted filtering by non-commutative tomography

Carlos Aguirre·R. Vilela Mendes

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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.

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physics.data-an cs.IR cs.NA math.NA

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Carlos Aguirre, R. Vilela Mendes. 2012-11-26. Signal recognition and adapted filtering by non-commutative tomography. https://arxiv.org/abs/1211.5986

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