Uncertainty Principles for Signal Concentrations
<|reference_start|>Uncertainty Principles for Signal Concentrations: 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.<|reference_end|>
@article{somaraju2005uncertainty,
    title={Uncertainty Principles for Signal Concentrations},
    author={Ram Somaraju, Leif W. Hanlen},
    journal={arXiv preprint arXiv:cs/0512030},
    year={2005},
    archivePrefix={arXiv},
    eprint={cs/0512030},
    primaryClass={cs.IT math.IT}
}