I seen many papers and performend experiments. The diversity gain approaches to 10 on a general basis. why it is so. as per formula it is OK, but is there any theoritical justification.
Diversity gain is an important concept in wireless communication systems, and it refers to the improvement in the signal quality that can be achieved by using multiple antennas. In the context of MIMO (Multiple-Input Multiple-Output) systems, diversity gain plays a crucial role in enhancing the reliability and performance of wireless communication.
The diversity gain for a MIMO antenna system can go close to 10 due to the following reasons:
Spatial Multiplexing: MIMO systems exploit the spatial dimension to transmit multiple data streams simultaneously. Each transmit antenna can create independent spatial channels, which can be received by multiple receive antennas. By using multiple antennas, the system can increase the spatial multiplexing gain and achieve higher data rates.
Spatial Diversity: Multiple antennas provide spatial diversity, which helps mitigate the negative effects of fading and interference. Fading refers to the variations in the wireless channel due to obstacles, reflections, and other environmental factors. By having multiple antennas, the system can capture different versions of the transmitted signal, reducing the impact of fading and improving the overall signal quality.
Interference Mitigation: With multiple antennas, a MIMO system can employ advanced signal processing techniques, such as beamforming and precoding, to mitigate interference from other users or sources. These techniques allow the system to focus the transmitted power in specific directions and nullify interference from undesired directions, thereby improving signal quality.
Channel Hardening Effect: In certain scenarios, when the number of antennas at both the transmitter and receiver becomes large (massive MIMO), the wireless channel becomes more deterministic and less affected by fading. This phenomenon is known as the channel hardening effect and can lead to significant diversity gain.
It's important to note that the diversity gain achieved in practice depends on several factors, including the specific MIMO configuration, channel conditions, interference, and signal processing techniques employed. The theoretical justification for the gain close to 10 will depend on the specific setup and assumptions made in the analysis.