A Rigorous Proof of MIMO Channel Capacity's Increase with Antenna Number

Authors:
Jianmin Gong;M. R. Soleymani;J. F. Hayes
Affiliations:
Faculty of Information Science and Technology, Jinan University, Guangzhou, People's Republic of China 510632;Department of Electrical and Computer Engineering, Concordia University, Montreal, Canada H3G 1M8;Department of Electrical and Computer Engineering, Concordia University, Montreal, Canada H3G 1M8
Venue:
Wireless Personal Communications: An International Journal
Year:
2009

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Abstract

It is well known that adding more antennas at the transmitter or at the receiver offers larger channel capacity in the multiple-input multiple-output communication systems. In this letter, a simple proof is presented for the fact that the channel capacity increases with an increase in the number of receive antennas. The proof is based on the famous capacity formula of Foschini and Gans and uses matrix theory.