Convergence of complex multi-variables based on fading channels in multi-antenna communication systems

Thu Pham Anh; Minh Nguyen Duc; Chau Le Hai; Hoang Trong Minh

doi:10.15625/2525-2518/21965

Author affiliations

Authors

Pham Anh Thu Posts and Telecommunications Institute of Technology https://orcid.org/0009-0002-7238-8019
Nguyen Duc Minh Posts and Telecommunications Institute of Technology
Le Hai Chau Posts and Telecommunications Institute of Technology https://orcid.org/0000-0003-0300-7761
Hoang Trong Minh Khoa Viễn thông 1, Học viện Công nghệ Bưu chính Viễn Thông https://orcid.org/0000-0001-8486-2940

DOI:

https://doi.org/10.15625/2525-2518/21965

Keywords:

wireless communication, MIMO, multi-antenna, fading channels

Abstract

This work introduces approximate expressions and provides comprehensive simulation results to demonstrate the robust convergence of complex variables based on fading channels in multi-antenna communication systems, in which two separate scenarios, namely spatial signal processing and non-spatial signal processing scenarios, were evaluated. Numerical results prove our assertions that for Nakagami-m and Rician fading channels (or can be extended to any other complex fading channels) in multi-antenna systems with antenna numbers larger than two, the distribution of interference from the beamforming design, a typical example for spatial signal processing, and will strongly converge to an exponential distribution with the scale-parameter remaining the same. Meanwhile, the channel synthesis in the non-spatial signal processing scenario tends to an exponential distribution with a new scale parameter exactly equal to the product of the number of antennas and the scale parameter.

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