Abstract
We discuss the channel capacity of multiantenna systems with the Nakagami fading channel. Analytic expressions for the ergodic channel capacity or its lower bound are given for SISO, SIMO, and MISO cases. Formulae for the outage probability of the capacity are presented. It is shown that the channel capacity could be increased logarithmically with the number of receive antennas for SIMO case; while employing 3-5 transmit antennas (irrespective of all other parameters considered herein) can approach the best advantage of the multiple transmit antenna systems as far as channel capacity is concerned for MISO case. We have shown that for a given SNR, the outage probability decreases considerably with the number of receive antennas for SIMO case, while for MISO case, the upper bound of the outage probability decreases with the number of transmit antennas when the transmission rate is lower than some value, but increases instead when the transmission rate is higher than another value. A critical transmission rate is identified.
Highlights
Since Foschini and Gans [1] and Telatar [2] established that the capacity of a Rayleigh distributed flat fading channel will increase almost linearly with the minimum of the number of transmit and receive antennas when the receiver has access to perfect channel state information but not the transmitter, multiple transmit and receive antenna (MIMO) systems and spacetime coding have received great attention as a means of providing substantial performance improvement against channel fading in wireless communication systems
We can see from this figure that even though the channel capacity increases with the number κ, the quantities increased are not large compared to the base case (κ = 1), especially when κ ≥ 10
The analytic expression for the ergodic channel capacity or its lower bound of wireless communication systems with the Nakagami fading is presented for three special cases: (i) single transmit antenna and single receive antenna, (ii) single transmit and multiple receive antennas, and (iii) multiple transmit and single receive antennas, respectively
Summary
Since Foschini and Gans [1] and Telatar [2] established that the capacity of a Rayleigh distributed flat fading channel will increase almost linearly with the minimum of the number of transmit and receive antennas when the receiver has access to perfect channel state information but not the transmitter, multiple transmit and receive antenna (MIMO) systems and spacetime coding have received great attention as a means of providing substantial performance improvement against channel fading in wireless communication systems. We will investigate how the capacity of MIMO systems changes in a Nakagami fading [4] environment. The main reason that motivated our study is that in some communication scenarios such as ultra-wideband (UWB) wireless communications, which has become a very hot topic recently, the Nakagami fading gives a better fitting for the channel model [5]. Another reason is that the Nakagami fading is an extension to the Rayleigh fading, and the results to be presented in this paper will be a generalization of previous MIMO results.
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