Title :
On the MIMO Channel Capacity for the Nakagami-
Channel
Author :
Fraidenraich, Gustavo ; Leveque, Olivier ; Cioffi, John M.
Author_Institution :
Electr. Eng. Dept., Stanford Univ., Stanford, CA
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2008.926467