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

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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.

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Authors and Affiliations

  1. Faculty of Information Science and Technology, Jinan University, Guangzhou, 510632, People’s Republic of China

    Jianmin Gong

  2. Department of Electrical and Computer Engineering, Concordia University, Montreal, QC, Canada, H3G 1M8

    M. R. Soleymani & J. F. Hayes

Authors
  1. Jianmin Gong
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  2. M. R. Soleymani
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  3. J. F. Hayes
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Correspondence to Jianmin Gong.

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Gong, J., Soleymani, M.R. & Hayes, J.F. A Rigorous Proof of MIMO Channel Capacity’s Increase with Antenna Number. Wireless Pers Commun 49, 81–86 (2009). https://doi.org/10.1007/s11277-008-9558-2

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  • DOI: https://doi.org/10.1007/s11277-008-9558-2

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