On the Equivalence of Shannon Capacity and Stable Capacity in Networks with Memoryless Channels

被引:0
|
作者
Yao, Hongyi [1 ]
Ho, Tracey [1 ]
Effros, Michelle [1 ]
机构
[1] CALTECH, Pasadena, CA 91125 USA
关键词
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
An equivalence result is established between the Shannon capacity and the stable capacity of communication networks. Given a discrete-time network with memoryless, time-invariant, discrete-output channels, it is proved that the Shannon capacity equals the stable capacity. The results treat general demands (e.g., multiple unicast demands) and apply even when neither the Shannon capacity nor the stable capacity is known for the given demands. The result also generalize from discrete-alphabet channels to Gaussian channels.
引用
收藏
页码:503 / 507
页数:5
相关论文
共 50 条
  • [1] On the Capacity of Memoryless Relay Networks
    Gomadam, Krishna Srikanth
    Jafar, Syed Ali
    2006 IEEE INTERNATIONAL CONFERENCE ON COMMUNICATIONS, VOLS 1-12, 2006, : 1580 - 1585
  • [2] On the Capacity of Memoryless Rewritable Storage Channels
    Lastras-Montano, Luis A.
    Franceschini, Michele M.
    Mittelholzer, Thomas
    Sharma, Mayank
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2014, 60 (06) : 3178 - 3195
  • [3] Commitment capacity of discrete memoryless channels
    Winter, A
    Nascimento, ACA
    Imai, H
    CRYPTOGRAPHY AND CODING, PROCEEDINGS, 2003, 2898 : 35 - 51
  • [4] Shannon Capacity of Nonlinear Communication Channels
    Sorokina, Mariia
    Sygletos, Stylianos
    Turitsyn, Sergei
    2016 CONFERENCE ON LASERS AND ELECTRO-OPTICS (CLEO), 2016,
  • [5] ON THE CAPACITY OF DISCRETE MEMORYLESS CHANNELS FOR LINEAR CODES
    VANSACH, T
    PROBLEMS OF CONTROL AND INFORMATION THEORY-PROBLEMY UPRAVLENIYA I TEORII INFORMATSII, 1987, 16 (02): : 113 - 123
  • [6] Capacity lower bound for channels with a memoryless nonlinearity
    Grob, S
    Lindner, J
    2004 IEEE 15TH INTERNATIONAL SYMPOSIUM ON PERSONAL, INDOOR AND MOBILE RADIO COMMUNICATIONS, VOLS 1-4, PROCEEDINGS, 2004, : 1706 - 1710
  • [7] Equivalence of Two Exponent Functions for Discrete Memoryless Channels with Input Cost at Rates above the Capacity
    Oohama, Yasutada
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2018, E101A (12): : 2199 - 2204
  • [8] Shannon capacity of STBC in Rayleigh fading channels
    Maaref, A
    Aïssa, S
    ELECTRONICS LETTERS, 2004, 40 (13) : 817 - 819
  • [9] Shannon capacity limits of wireless networks
    Viterbi, Andrew
    SEQUENCES, SUBSEQUENCES, AND CONSEQUENCES, 2007, 4893 : 147 - 152
  • [10] The Shannon Capacity of Linear Dynamical Networks
    Baggio, Giacomo
    Katewa, Vaibhav
    Pasqualetti, Fabio
    Zampieri, Sandro
    2019 18TH EUROPEAN CONTROL CONFERENCE (ECC), 2019, : 602 - 607