Ergodic Capacity Analysis of Downlink Communication Systems under Covariance Shaping Equalizers

Ubaid M. Al-Saggaf, Ahmad Kamal Hassan () and Muhammad Moinuddin
Additional contact information
Ubaid M. Al-Saggaf: Center of Excellence in Intelligent Engineering Systems (CEIES), King Abdulaziz University, Jeddah 21859, Saudi Arabia
Ahmad Kamal Hassan: Faculty of Electrical Engineering, GIK Institute of Engineering Sciences and Technology, Topi 23640, Pakistan
Muhammad Moinuddin: Center of Excellence in Intelligent Engineering Systems (CEIES), King Abdulaziz University, Jeddah 21859, Saudi Arabia

Mathematics, 2022, vol. 10, issue 22, 1-11

Abstract: Advances in higher-end spectrum utilization has enabled user equipment to dock multiple antenna elements, and hence make use of selectivity via equalization in new generation of mobile networks. The equalization can exploit channel statistics to shape covariance matrices, and hence improve network performance at the physical layer of these networks by projecting segregated signals to non-overlapping subspaces. We propose to establish the promise of covariance shaping method by incorporating the equalizers in the modelling of a downlink multi-user multiple-input multiple-output (MU-MIMO) systems and thereby characterizing a key performance indicator, namely, the sum ergodic capacity. This is achieved by utilizing a residue theory approach which can account for indefinite eigenvalues. The system modelling is generic in a sense that it requires the base station (BS) to only have second order statistics of the channel rather than instantaneous knowledge. Furthermore, the BS incorporates a transmit beamformer design to enhance the ergodic capacity and feedforward the information of covariance shaping equalizers. Search method for transmit beamforming is also proposed which shows a promising three fold increase in sum ergodic capacity at signal-to-noise ratio of 10 dB for the considered MU-MIMO system. Proposed characterization of the system is authenticated using simulation means, and a comparative analysis of transmit beamformer designs on the sum ergodic rate is showcased.

Keywords: indefinite quadratic forms; beamforming; ergodic capacity; interior-point method; principal eigenvectors; modern technologies (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/22/4304/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/22/4304/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:22:p:4304-:d:975131

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().