• DocumentCode
    808919
  • Title

    On the MIMO Channel Capacity for the Nakagami- m Channel

  • Author

    Fraidenraich, Gustavo ; Leveque, Olivier ; Cioffi, John M.

  • Author_Institution
    Electr. Eng. Dept., Stanford Univ., Stanford, CA
  • Volume
    54
  • Issue
    8
  • fYear
    2008
  • Firstpage
    3752
  • Lastpage
    3757
  • Abstract
    This paper presents the multiple-input multiple-output (MIMO) channel capacity over the Nakagami-m fading channel. The joint eigenvalue density function of W = HH´ where H is the channel matrix, is derived in closed form for H (2 times 2) and any integer values of m, as well as for H (2 times 3) with to = 2 and to = 3. The marginal eigenvalue distribution of W is also derived in a closed-form expression. All the results are validated by numerical Monte Carlo simulations and are in excellent agreement.
  • Keywords
    MIMO communication; Monte Carlo methods; Nakagami channels; channel capacity; eigenvalues and eigenfunctions; matrix algebra; MIMO channel capacity; Nakagami-m channel; channel matrix; closed-form expression; fading channel; joint eigenvalue density function; marginal eigenvalue distribution; multiple-input multiple-output channel capacity; numerical Monte Carlo simulations; Channel capacity; Density functional theory; Eigenvalues and eigenfunctions; Fading; Jacobian matrices; MIMO; Matrix decomposition; Nakagami distribution; Rayleigh channels; Wireless communication; Eigenvalue distribution; Nakagami-$m$ distribution; Rayleigh distribution; fading distributions; multiple- input multiple-output (MIMO) channels;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2008.926467
  • Filename
    4567572