RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Probl. Peredachi Inf.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Probl. Peredachi Inf., 2010, Volume 46, Issue 4, Pages 14–32 (Mi ppi2024)  

This article is cited in 8 scientific papers (total in 8 papers)

Information Theory

Transition points in the capacity-achieving distribution for the peak-power limited AWGN and free-space optical intensity channels

N. Sharmaa, S. Shamai (Shitz)b

a Tata Institute of Fundamental Research, Mumbai, India
b Technion, Haifa, Israel

Abstract: The capacity-achieving input distribution for many channels like the additive white Gaussian noise (AWGN) channel and the free-space optical intensity (FSOI) channel under the peak-power constraint is discrete with a finite number of mass points. The number of mass points is itself a variable, and figuring it out is a part of the optimization problem. We wish to understand the behavior of the optimal input distribution at the transition points where the number of mass points changes. To this end, we give a new set of necessary and sufficient conditions at the transition points, which offer new insights into the transition and make the computation of the optimal distribution easier. For the real AWGN channel case, we show that for the zero-mean unit-variance Gaussian noise, the peak amplitude A of 1.671 and 2.786 mark the points where the binary and ternary signaling, respectively, are no longer optimal. For the FSOI channel, we give transition points where binary gives way to ternary, and in some cases where ternary gives way to quaternary, in the presence of the peak-power constraint and with or without the average-power constraint.

Full text: PDF file (354 kB)
References: PDF file   HTML file

English version:
Problems of Information Transmission, 2010, 46:4, 283–299

Bibliographic databases:

UDC: 621.391.1
Received: 10.03.2010

Citation: N. Sharma, S. Shamai (Shitz), “Transition points in the capacity-achieving distribution for the peak-power limited AWGN and free-space optical intensity channels”, Probl. Peredachi Inf., 46:4 (2010), 14–32; Problems Inform. Transmission, 46:4 (2010), 283–299

Citation in format AMSBIB
\Bibitem{ShaSha10}
\by N.~Sharma, S.~Shamai (Shitz)
\paper Transition points in the capacity-achieving distribution for the peak-power limited AWGN and free-space optical intensity channels
\jour Probl. Peredachi Inf.
\yr 2010
\vol 46
\issue 4
\pages 14--32
\mathnet{http://mi.mathnet.ru/ppi2024}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2791044}
\transl
\jour Problems Inform. Transmission
\yr 2010
\vol 46
\issue 4
\pages 283--299
\crossref{https://doi.org/10.1134/S0032946010040022}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000286328800002}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952674386}


Linking options:
  • http://mi.mathnet.ru/eng/ppi2024
  • http://mi.mathnet.ru/eng/ppi/v46/i4/p14

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. No A., Weissman Ts., “Minimax Filtering Regret Via Relations Between Information and Estimation”, IEEE Trans. Inf. Theory, 60:8 (2014), 4832–4847  crossref  mathscinet  isi
    2. Aguerri I.E., Varasteh M., Guenduez D., “Zero-Delay Joint Source-Channel Coding”, 2014 Iran Workshop on Communication and Information Theory (Iwcit), Iran Workshop on Communication and Information Theory, IEEE, 2014  isi
    3. Ozel O., Ekrem E., Ulukus S., “Gaussian Wiretap Channel With Amplitude and Variance Constraints”, IEEE Trans. Inf. Theory, 61:10 (2015), 5553–5563  crossref  mathscinet  isi
    4. Dytso A., Bustin R., Poor H.V., Shamai (Shitz) Shim, “On Additive Channels With Generalized Gaussian Noise”, 2017 IEEE International Symposium on Information Theory (ISIT), IEEE International Symposium on Information Theory, IEEE, 2017, 426–430  isi
    5. Dytso A., Goldenbaum M., Shamai (Shitz) Shlomo, Poor H.V., Globecom 2017 - 2017 IEEE Global Communications Conference, IEEE Global Communications Conference, IEEE, 2017  isi
    6. Zhang Ch., Luo Yu., Globecom 2017 - 2017 IEEE Global Communications Conference, IEEE Global Communications Conference, IEEE, 2017  isi
    7. Dytso A., Poor H.V., Shamai (Shitz) Shlomo, “Capacity of the Vector Gaussian Channel in the Small Amplitude Regime”, 2018 IEEE Information Theory Workshop (Itw), Information Theory Workshop, IEEE, 2018, 21–25  isi
    8. Dytso A., Goldenbaum M., Poor H.V., Shamai (Shitz) Shlomo, 2018 52Nd Annual Conference on Information Sciences and Systems (Ciss), IEEE, 2018  mathscinet  isi
  • Проблемы передачи информации Problems of Information Transmission
    Number of views:
    This page:256
    Full text:67
    References:36
    First page:6

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020