Assisted Identification over Modulo-Additive Noise Channels

The gain in the identification capacity afforded by a rate-limited description of the noise sequence corrupting a modulo-additive noise channel is studied. Both the classical Ahlswede–Dueck version and the Ahlswede–Cai–Ning–Zhang version, which does not allow for missed identifications, are studied....

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Main Authors: Amos Lapidoth, Baohua Ni
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/25/9/1314
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author Amos Lapidoth
Baohua Ni
author_facet Amos Lapidoth
Baohua Ni
author_sort Amos Lapidoth
collection DOAJ
description The gain in the identification capacity afforded by a rate-limited description of the noise sequence corrupting a modulo-additive noise channel is studied. Both the classical Ahlswede–Dueck version and the Ahlswede–Cai–Ning–Zhang version, which does not allow for missed identifications, are studied. Irrespective of whether the description is provided to the receiver, to the transmitter, or to both, the two capacities coincide and both equal the helper-assisted Shannon capacity.
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spelling doaj.art-cdecc55048484cddbc08d502696785f42023-11-19T10:35:53ZengMDPI AGEntropy1099-43002023-09-01259131410.3390/e25091314Assisted Identification over Modulo-Additive Noise ChannelsAmos Lapidoth0Baohua Ni1Signal and Information Processing Laboratory, ETH Zurich, 8092 Zurich, SwitzerlandSignal and Information Processing Laboratory, ETH Zurich, 8092 Zurich, SwitzerlandThe gain in the identification capacity afforded by a rate-limited description of the noise sequence corrupting a modulo-additive noise channel is studied. Both the classical Ahlswede–Dueck version and the Ahlswede–Cai–Ning–Zhang version, which does not allow for missed identifications, are studied. Irrespective of whether the description is provided to the receiver, to the transmitter, or to both, the two capacities coincide and both equal the helper-assisted Shannon capacity.https://www.mdpi.com/1099-4300/25/9/1314erasures-only capacityhelperidentification capacitymodulo-additive noiserate-limitedzero-undetected-error capacity
spellingShingle Amos Lapidoth
Baohua Ni
Assisted Identification over Modulo-Additive Noise Channels
Entropy
erasures-only capacity
helper
identification capacity
modulo-additive noise
rate-limited
zero-undetected-error capacity
title Assisted Identification over Modulo-Additive Noise Channels
title_full Assisted Identification over Modulo-Additive Noise Channels
title_fullStr Assisted Identification over Modulo-Additive Noise Channels
title_full_unstemmed Assisted Identification over Modulo-Additive Noise Channels
title_short Assisted Identification over Modulo-Additive Noise Channels
title_sort assisted identification over modulo additive noise channels
topic erasures-only capacity
helper
identification capacity
modulo-additive noise
rate-limited
zero-undetected-error capacity
url https://www.mdpi.com/1099-4300/25/9/1314
work_keys_str_mv AT amoslapidoth assistedidentificationovermoduloadditivenoisechannels
AT baohuani assistedidentificationovermoduloadditivenoisechannels