Journal of Beijing University of Posts and Telecommunications

  • EI核心期刊

JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM ›› 2006, Vol. 29 ›› Issue (6): 72-76.doi: 10.13190/jbupt.200606.72.241

• Papers • Previous Articles     Next Articles

Formula and Asymptotic Bound of MIMO Channel Capacity

LUO Zhen-dong1, GAO Hong2, LIU Yuan-an1, GAO Jin-chun1   

  1. 1. School of Telecommunication Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China;
    2. China Academy of Telecommunication Research, Ministry of Information Industry, Beijing 100083, China
  • Received:2005-10-19 Revised:1900-01-01 Online:2006-12-30 Published:2006-12-30
  • Contact: LUO Zhen-dong1

Abstract:

The ergodic capacity of independent and identically distributed multiple-input multiple-output (MIMO) flat Rayleigh fading channels is investigated when the channel state information is assumed to be unknown at the transmitter but perfectly known at the receiver. Firstly, a simple closed-form MIMO channel capacity formula is derived by using the eigenvalue distribution of Wishart matrix. An asymptotic bound of MIMO channel capacity at high signal-to-noise ratio (SNR) is acquired on the basis of the formula. The bound analytically shows that the capacity is asymptotically linear in the logarithm of SNR and the minimum of the number of transmit and receive antennas with the growth of SNR. Finally, the proposed capacity formula and asymptotic bound are justified by computer simulation.

Key words: multiple-input multiple-output systems, channel capacity, fading channels, special function, eigenvalue distribution

CLC Number: