Non-peaky signals in wideband fading channels: Achievable bit rates and optimal bandwidth

Angel Lozano, Dana Porrat

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

In the context of fading channels it is well established that, with a constrained transmit power, the bit rates achievable by signals that are not peaky vanish as the bandwidth grows without bound. Stepping back from the limit, we characterize the highest bit rate achievable by such non-peaky signals and the approximate bandwidth where that apex occurs. As it turns out, the gap between the highest rate achievable without peakedness and the infinite-bandwidth capacity (with unconstrained peakedness) is small for virtually all settings of interest to wireless communications. Thus, although strictly achieving capacity in wideband fading channels does require signal peakedness, bit rates not far from capacity can be achieved with conventional signaling formats that do not exhibit the serious practical drawbacks associated with peakedness. In addition, we show that the asymptotic decay of bit rate in the absence of peakedness usually takes hold at bandwidths so large that wideband fading models are called into question. Rather, ultrawideband models ought to be used.

Original languageEnglish
Article number6093903
Pages (from-to)246-257
Number of pages12
JournalIEEE Transactions on Wireless Communications
Volume11
Issue number1
DOIs
StatePublished - Jan 2012
Externally publishedYes

Bibliographical note

Funding Information:
D. Porrat is with the Hebrew University of Jerusalem, 91904 Jerusalem, Israel. Her work is supported by ISF Grant 235/10. Digital Object Identifier 10.1109/TWC.2011.111611.110263

Funding Information:
A. Lozano is with Universitat Pompeu Fabra (UPF), Barcelona 08018, Spain (e-mail: [email protected]). His work is supported by the Spanish Ministry of Science and Innovation (Refs. TEC2009-13000 and CONSOLIDER-INGENIO CSD2008-00010 "COMONSENS") and by AGAUR (Catalan Agency for Administration of University and Research Grants).

Funding

D. Porrat is with the Hebrew University of Jerusalem, 91904 Jerusalem, Israel. Her work is supported by ISF Grant 235/10. Digital Object Identifier 10.1109/TWC.2011.111611.110263 A. Lozano is with Universitat Pompeu Fabra (UPF), Barcelona 08018, Spain (e-mail: [email protected]). His work is supported by the Spanish Ministry of Science and Innovation (Refs. TEC2009-13000 and CONSOLIDER-INGENIO CSD2008-00010 "COMONSENS") and by AGAUR (Catalan Agency for Administration of University and Research Grants).

FundersFunder number
Israel Science Foundation235/10
Ministerio de Ciencia e Innovación

    Keywords

    • Wideband
    • channel capacity
    • fading
    • mutual information
    • peaky signals
    • ultrawideband

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