On the Capacity of Fading Channels with Peak and Average Power Constraints at Low SNR

Longguang Li, Lokman Sboui, Zouheir Rezki, Mohamed-Slim Alouini

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The capacity of fading channels under peak and average power constraints in the low-SNR regime is investigated. We show that the capacity scales essentially as C ≈ A SNR ∫ 1- 1 A 1 F -1 (t)dt, where A is the peak-to-average power ratio (PAPR), and F(·) is the cumulative distribution function of the fading channel. We also prove that an On-Off power scheme is sufficient to asymptotically achieve the capacity. Furthermore, by considering the variable PAPR scenario, we generalize the scalability of the capacity and derive the asymptotic expression for the capacity in the low-SNR regime.
Original languageEnglish (US)
Pages (from-to)93-100
Number of pages8
JournalAccepted by IEEE Transactions on Vehicular Technology
Volume68
Issue number1
DOIs
StatePublished - 2018

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