Abstract
We consider a wireless transmission scenario, when a base station is endowed with a fixed beamforming network, where M antennas are employed at the base station to point beams to predetermined azimuthal angles. In our setting, a Butler matrix is deployed at the RF stage to form M beams, and then the best beam is selected for transmission. We derive the distribution of the beam selection gain for this scenario under a Rician channel assumption as a function of both the azimuthal location of the remote unit and the Rician A'-factor. Using some key properties of the noncentral chi-square distribution, we prove that beam selection outperforms antenna selection.
Highlights
We consider a wireless transmission scenario when a base station is endowed with M multiple linear spaced omnidirectional array antennas and each remote unit is equipped with an omnidirectional antenna
We note that maximal ratio combining (MRC) at the base station is the optimal solution for the multiple receive antenna system
Antenna selection is less complex because the antenna selection receiver only uses the antenna with the highest signal-to-noise ratio (SNR) and requires only one RF chain
Summary
We consider a wireless transmission scenario when a base station is endowed with M multiple linear spaced omnidirectional array antennas and each remote unit is equipped with an omnidirectional antenna. The base station employs a fixed beamforming network (FBN) to improve on the signal quality by selecting the best beam for transmission to each remote unit among all the available fixed beams. We derive the exact distribution of the beam selection gain as a function of the azimuthal location of the remote user. Using this result, we compare the beam selection gain with the antenna selection gain for any Rician fading channel and analytically prove that beam selection is superior to antenna selection in all Rician channels.
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