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Closed-form Analysis of RZF in Multicell Massive MIMO Over Correlated Rician Channel

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Abstract

Correlation exists in all practical channels, and each channel’s correlation level varies. Determining correlation matrices while estimating the channel and precoding is vital in providing spatial directivity to the signals. This paper considers the performance analysis of the downlink multi-cell multiuser Massive Multiple Input Multiple Output (mMIMO) system with user-specific correlation matrices for the Rician Fading channel. Using the Random Matrix Theory (RMT) results, the closed-form for the asymptotic analysis of ergodic downlink rate per user terminal (UT) is derived for the spatially correlated system with Regularized Zero-Forcing (RZF) scheme. A realistic multipath environment consisting of a dominant line-of-sight (LOS) path along the non-deterministic non-line-of-sight (NLOS) component with imperfect channel information and pilot contamination is considered for deriving the expression. The system is evaluated for the carrier frequency of \(30 GHz\) in the mmWave range with different parameters using Monte Carlo simulations to validate the derived expression. The numerical results show that the derived expression for ergodic user rate provides a tight approximation for the large-dimensional system and accurate results for small values. As for the Rician Factor, \(\kappa =0.5\), transmit power of \(10 dB\) and training power of \(6 dB\), the average user rate obtained for \(M=100\) and \(K=50\) is \(1.1233\) bits/sec/Hz/User/cell for simulated value and \(1.1243\) bits/sec/Hz/User/cell for theoretical value. The proposed correlated multicellular mMIMO system is shifted from the mmWave range to \(sub-6 GHz\) to compare it with the existing system in (Sanguinetti et al. in IEEE Transactions on Communications 67:1939–1955, 2018). The derived results show the improvement in system throughput for the proposed system.

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Data Availability

The data generated and analysed during the current study of the given wireless communication multi-cell model is generated using the software MATLAB R2021a. It is not publicly available, as when the data is generated each time based on the program code (designed for the multi-cell mMIMO system) using the MATLAB software based on the system model parameters mentioned above, the data generated is based on the random results of the channel coefficients and user locations from the BSs in each cell. So, to check the system behaviour, multiple numbers of channel realizations and multiple system model setups are averaged to get the results mentioned in the manuscript. These results are describe using the figures and their respective values are mentioned in the table given in the manuscript.

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Funding

This work is supported by DST-Inspire, Ministry of Science and Technology, Government of India (DST/INSPIRE Fellowship/[IF190244]). Author Harleen Kaur is awarded by this INSPIRE Fellowship.

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  1. Electronics & Communication Engineering Department, Thapar Institute of Engineering & Technology, Patiala, Punjab, 147004, India

    Harleen Kaur & Ankush Kansal

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  1. Harleen Kaur
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Correspondence to Harleen Kaur.

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Kaur, H., Kansal, A. Closed-form Analysis of RZF in Multicell Massive MIMO Over Correlated Rician Channel. Wireless Pers Commun 131, 1685–1719 (2023). https://doi.org/10.1007/s11277-023-10518-w

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