Spatial Interference Alignment with Limited Precoding Matrix Feedback in a Wireless Multi-User Interference Channel for Smart Grids

Shixin Peng, Xiaohui Chen, Wei Lu, Chao Deng and Jingying Chen
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Shixin Peng: National Engineering Research Center for E-Learning, National Engineering Laboratory for Educational Big Data, Central China Normal University, Wuhan 430079, China
Xiaohui Chen: Information and Communication Branch of State Grid Hunan Electric Power Company Limited, Changsha 410004, China
Wei Lu: Air Force Early Warning Academy, Wuhan 430019, China
Chao Deng: School of Electronic information and Communication, Huazhong University of Science & Technology, Wuhan 430074, China
Jingying Chen: National Engineering Research Center for E-Learning, National Engineering Laboratory for Educational Big Data, Central China Normal University, Wuhan 430079, China

Energies, 2022, vol. 15, issue 5, 1-14

Abstract: Cellular communication provides an efficient, flexible, long-lived, and reliable communication technology for smart grids to improve the automated analysis, demand response, adoptive control, and coordination between the generator and consumers. With the expansion of wireless networks and the increase of access devices, interference has become a major problem that limits the performance of cellular wireless communication systems for smart grids. Spatial interference alignment (IA) is an effective method to eliminate interference and improve the capacity of wireless communication networks. This paper provides the sufficient conditions of spatial interference alignment operating with limited precoding matrix feedback for a K -user MIMO interference channel. Each receiver feeds the matrix index of the transmitting precoder back to the corresponding transmitter through an interference-free and error-free link. We calculated the number of feedback bits required to achieve the maximum theoretical multiplexing gain for the spatial interference alignment schemes considered and demonstrate the feasibility of spatial interference alignment under the limited feedback constraint investigated. It is shown that in order to maintain the same spatial multiplexing gain as that of the idealized scheme relying on perfect channel state information, the number of feedback bits per receiver scales as N d ≥ d i ( M − d i ) log 2 SNR , where M and d i denote the number of transmit (receive) antennas and the number of data steams for user i . Finally, the analytical results were verified by simulations for practical interference alignment schemes relying on limited precoding matrix feedback indices.

Keywords: smart grid; interference alignment; MIMO; spatial multiplexing gain; limited feedback; precoding matrix (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
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