Analytical Derivation of 2 x 2 MIMO Channel Capacity in Terms of Multipath Angle Spread and Signal Strength


FREQUENZ, vol.66, pp.97-100, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 66
  • Publication Date: 2012
  • Doi Number: 10.1515/freq-2012-0023
  • Journal Name: FREQUENZ
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.97-100
  • Keywords: Channel capacity, MIMO systems, multipath angle spread, relative multipath signal strength (RMSS), channel state information (CSI), SYSTEMS
  • Kocaeli University Affiliated: Yes


The capacity of multiple-input multiple-output (MIMO) wireless communication channels is affected by the multipath angle spread and relative multiple signal strength (RMSS) at both sides of the transmitter and the receiver. In this paper, we study analytically how these two factors emerge in the MEMO capacity equation when the channel state information (CSI) is unknown at the transmitter and perfectly known at the receiver. Mathematical expression for the channel capacity is carried out for 2 x 2 MIMO system and two propagation paths between the base station (BS) and the mobile terminal (MS) are considered. The proposed analytical model is verified through numerical results, which show that channel capacity increases with increasing angle spread. Also, as the relative strength of multipaths becomes larger, the better channel capacity is obtained.