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On the Minimax Capacity Loss under Sub-Nyquist Universal Sampling

Author(s): Chen, Y; Goldsmith, AJ; Eldar, YC

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dc.contributor.authorChen, Y-
dc.contributor.authorGoldsmith, AJ-
dc.contributor.authorEldar, YC-
dc.date.accessioned2024-01-19T23:59:15Z-
dc.date.available2024-01-19T23:59:15Z-
dc.date.issued2017-04-18en_US
dc.identifier.citationChen, Y, Goldsmith, AJ, Eldar, YC. (2017). On the Minimax Capacity Loss under Sub-Nyquist Universal Sampling. IEEE Transactions on Information Theory, 63 (3348 - 3367. doi:10.1109/TIT.2017.2695541en_US
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1bg2h96g-
dc.description.abstractThis paper investigates the information rate loss in analog channels, when the sampler is designed to operate independent of the instantaneous channel occupancy. Specifically, a multiband linear time-invariant Gaussian channel under universal sub-Nyquist sampling is considered. The entire channel bandwidth is divided into n subbands of equal bandwidth. At each time, only k constant-gain subbands are active, where the instantaneous subband occupancy is not known at the receiver and the sampler. We study the information loss through an information , that is, the gap of achievable rates caused by the lack of instantaneous subband occupancy information. We characterize the minimax information rate loss for the sub-Nyquist regime, provided that the number n of subbands and the SNR are both large. The minimax limits depend almost solely on the band sparsity factor and the undersampling factor, modulo some residual terms that vanish as n and SNR grow. Our results highlight the power of randomized sampling methods (i.e., the samplers that consist of random periodic modulation and low-pass filters), which are able to approach the minimax information rate loss with exponentially high probability.en_US
dc.format.extent3348 - 3367en_US
dc.language.isoen_USen_US
dc.relation.ispartofIEEE Transactions on Information Theoryen_US
dc.rightsAuthor's manuscripten_US
dc.titleOn the Minimax Capacity Loss under Sub-Nyquist Universal Samplingen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1109/TIT.2017.2695541-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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