Bandwidth occupancy of non-coherent wideband fading channels

Felipe Gómez-Cuba, Jinfeng Du, Muriel Médard, Elza Erkip

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Peaky and non-peaky signaling schemes have long been considered species apart in non-coherent wideband fading channels, as the first approaches asymptotically the linear-in-power capacity of a wideband AWGN channel with the same SNR, whereas the second reaches a nearly power-limited peak rate at some finite critical bandwidth and then falls to zero as bandwidth grows to infinity. In this paper it is shown that this distinction is in fact an artifact of the limited attention paid in the past to the product between the bandwidth and the fraction of time it is in use. This fundamental quantity, that is termed bandwidth occupancy, measures average bandwidth usage over time. The two types of signaling in the literature are harmonized to show that, for any type of signals, there is a fundamental limit - a critical bandwidth occupancy. All signaling schemes with the same bandwidth occupancy approach the capacity of wideband AWGN channels with the same asymptotic behavior as the bandwidth occupancy grows to its critical value. For a bandwidth occupancy above the critical, rate decreases to zero as the bandwidth occupancy goes to infinity.

Original languageEnglish (US)
Title of host publicationProceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2351-2355
Number of pages5
Volume2015-June
ISBN (Print)9781467377041
DOIs
StatePublished - Sep 28 2015
EventIEEE International Symposium on Information Theory, ISIT 2015 - Hong Kong, Hong Kong
Duration: Jun 14 2015Jun 19 2015

Other

OtherIEEE International Symposium on Information Theory, ISIT 2015
CountryHong Kong
CityHong Kong
Period6/14/156/19/15

Fingerprint

Fading Channels
Fading channels
Bandwidth
Infinity
Zero
Critical value
Asymptotic Behavior
Decrease

Keywords

  • bandwidth occupancy
  • non-coherent fading channel
  • peaky signals
  • Wideband regime

ASJC Scopus subject areas

  • Applied Mathematics
  • Modeling and Simulation
  • Theoretical Computer Science
  • Information Systems

Cite this

Gómez-Cuba, F., Du, J., Médard, M., & Erkip, E. (2015). Bandwidth occupancy of non-coherent wideband fading channels. In Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015 (Vol. 2015-June, pp. 2351-2355). [7282876] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2015.7282876

Bandwidth occupancy of non-coherent wideband fading channels. / Gómez-Cuba, Felipe; Du, Jinfeng; Médard, Muriel; Erkip, Elza.

Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015. Vol. 2015-June Institute of Electrical and Electronics Engineers Inc., 2015. p. 2351-2355 7282876.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Gómez-Cuba, F, Du, J, Médard, M & Erkip, E 2015, Bandwidth occupancy of non-coherent wideband fading channels. in Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015. vol. 2015-June, 7282876, Institute of Electrical and Electronics Engineers Inc., pp. 2351-2355, IEEE International Symposium on Information Theory, ISIT 2015, Hong Kong, Hong Kong, 6/14/15. https://doi.org/10.1109/ISIT.2015.7282876
Gómez-Cuba F, Du J, Médard M, Erkip E. Bandwidth occupancy of non-coherent wideband fading channels. In Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015. Vol. 2015-June. Institute of Electrical and Electronics Engineers Inc. 2015. p. 2351-2355. 7282876 https://doi.org/10.1109/ISIT.2015.7282876
Gómez-Cuba, Felipe ; Du, Jinfeng ; Médard, Muriel ; Erkip, Elza. / Bandwidth occupancy of non-coherent wideband fading channels. Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015. Vol. 2015-June Institute of Electrical and Electronics Engineers Inc., 2015. pp. 2351-2355
@inproceedings{04ab6c1c0b7d4b90876c020a7ad1247d,
title = "Bandwidth occupancy of non-coherent wideband fading channels",
abstract = "Peaky and non-peaky signaling schemes have long been considered species apart in non-coherent wideband fading channels, as the first approaches asymptotically the linear-in-power capacity of a wideband AWGN channel with the same SNR, whereas the second reaches a nearly power-limited peak rate at some finite critical bandwidth and then falls to zero as bandwidth grows to infinity. In this paper it is shown that this distinction is in fact an artifact of the limited attention paid in the past to the product between the bandwidth and the fraction of time it is in use. This fundamental quantity, that is termed bandwidth occupancy, measures average bandwidth usage over time. The two types of signaling in the literature are harmonized to show that, for any type of signals, there is a fundamental limit - a critical bandwidth occupancy. All signaling schemes with the same bandwidth occupancy approach the capacity of wideband AWGN channels with the same asymptotic behavior as the bandwidth occupancy grows to its critical value. For a bandwidth occupancy above the critical, rate decreases to zero as the bandwidth occupancy goes to infinity.",
keywords = "bandwidth occupancy, non-coherent fading channel, peaky signals, Wideband regime",
author = "Felipe G{\'o}mez-Cuba and Jinfeng Du and Muriel M{\'e}dard and Elza Erkip",
year = "2015",
month = "9",
day = "28",
doi = "10.1109/ISIT.2015.7282876",
language = "English (US)",
isbn = "9781467377041",
volume = "2015-June",
pages = "2351--2355",
booktitle = "Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015",
publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - GEN

T1 - Bandwidth occupancy of non-coherent wideband fading channels

AU - Gómez-Cuba, Felipe

AU - Du, Jinfeng

AU - Médard, Muriel

AU - Erkip, Elza

PY - 2015/9/28

Y1 - 2015/9/28

N2 - Peaky and non-peaky signaling schemes have long been considered species apart in non-coherent wideband fading channels, as the first approaches asymptotically the linear-in-power capacity of a wideband AWGN channel with the same SNR, whereas the second reaches a nearly power-limited peak rate at some finite critical bandwidth and then falls to zero as bandwidth grows to infinity. In this paper it is shown that this distinction is in fact an artifact of the limited attention paid in the past to the product between the bandwidth and the fraction of time it is in use. This fundamental quantity, that is termed bandwidth occupancy, measures average bandwidth usage over time. The two types of signaling in the literature are harmonized to show that, for any type of signals, there is a fundamental limit - a critical bandwidth occupancy. All signaling schemes with the same bandwidth occupancy approach the capacity of wideband AWGN channels with the same asymptotic behavior as the bandwidth occupancy grows to its critical value. For a bandwidth occupancy above the critical, rate decreases to zero as the bandwidth occupancy goes to infinity.

AB - Peaky and non-peaky signaling schemes have long been considered species apart in non-coherent wideband fading channels, as the first approaches asymptotically the linear-in-power capacity of a wideband AWGN channel with the same SNR, whereas the second reaches a nearly power-limited peak rate at some finite critical bandwidth and then falls to zero as bandwidth grows to infinity. In this paper it is shown that this distinction is in fact an artifact of the limited attention paid in the past to the product between the bandwidth and the fraction of time it is in use. This fundamental quantity, that is termed bandwidth occupancy, measures average bandwidth usage over time. The two types of signaling in the literature are harmonized to show that, for any type of signals, there is a fundamental limit - a critical bandwidth occupancy. All signaling schemes with the same bandwidth occupancy approach the capacity of wideband AWGN channels with the same asymptotic behavior as the bandwidth occupancy grows to its critical value. For a bandwidth occupancy above the critical, rate decreases to zero as the bandwidth occupancy goes to infinity.

KW - bandwidth occupancy

KW - non-coherent fading channel

KW - peaky signals

KW - Wideband regime

UR - http://www.scopus.com/inward/record.url?scp=84969792518&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84969792518&partnerID=8YFLogxK

U2 - 10.1109/ISIT.2015.7282876

DO - 10.1109/ISIT.2015.7282876

M3 - Conference contribution

SN - 9781467377041

VL - 2015-June

SP - 2351

EP - 2355

BT - Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015

PB - Institute of Electrical and Electronics Engineers Inc.

ER -