Uncertainty Principles for Signal Concentrations

Ram Somaraju; Leif W. Hanlen

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Uncertainty Principles for Signal Concentrations

Ram Somaraju·Leif W. Hanlen

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Abstract

Uncertainty principles for concentration of signals into truncated subspaces are considered. The ``classic'' uncertainty principle is explored as a special case of a more general operator framework. The time-bandwidth concentration problem is shown as a similar special case. A spatial concentration of radio signals example is provided, and it is shown that an uncertainty principle exists for concentration of single-frequency signals for regions in space. We show that the uncertainty is related to the volumes of the spatial regions.

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Ram Somaraju, Leif W. Hanlen. 2005-12-08. Uncertainty Principles for Signal Concentrations. https://arxiv.org/abs/cs/0512030

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