Capacity Characterization for Intelligent Reflecting Surface Aided MIMO Communication

Intelligent reflecting surface (IRS) is a promising solution to enhance the wireless communication capacity both cost-effectively and energy-efficiently, by properly altering the signal propagation via tuning a large number of passive reflecting units. In this paper, we aim to characterize the funda...

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Published inIEEE journal on selected areas in communications Vol. 38; no. 8; pp. 1823 - 1838
Main Authors Zhang, Shuowen, Zhang, Rui
Format Journal Article
LanguageEnglish
Published New York IEEE 01.08.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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Abstract Intelligent reflecting surface (IRS) is a promising solution to enhance the wireless communication capacity both cost-effectively and energy-efficiently, by properly altering the signal propagation via tuning a large number of passive reflecting units. In this paper, we aim to characterize the fundamental capacity limit of IRS-aided point-to-point multiple-input multiple-output (MIMO) communication systems with multi-antenna transmitter and receiver in general, by jointly optimizing the IRS reflection coefficients and the MIMO transmit covariance matrix. First, we consider narrowband transmission under frequency-flat fading channels, and develop an efficient alternating optimization algorithm to find a locally optimal solution by iteratively optimizing the transmit covariance matrix or one of the reflection coefficients with the others being fixed. Next, we consider capacity maximization for broadband transmission in a general MIMO orthogonal frequency division multiplexing (OFDM) system under frequency-selective fading channels, where transmit covariance matrices are optimized for different subcarriers while only one common set of IRS reflection coefficients is designed to cater to all the subcarriers. To tackle this more challenging problem, we propose a new alternating optimization algorithm based on convex relaxation to find a high-quality suboptimal solution. Numerical results show that our proposed algorithms achieve substantially increased capacity compared to traditional MIMO channels without the IRS, and also outperform various benchmark schemes. In particular, it is shown that with the proposed algorithms, various key parameters of the IRS-aided MIMO channel such as channel total power, rank, and condition number can be significantly improved for capacity enhancement.
AbstractList Intelligent reflecting surface (IRS) is a promising solution to enhance the wireless communication capacity both cost-effectively and energy-efficiently, by properly altering the signal propagation via tuning a large number of passive reflecting units. In this paper, we aim to characterize the fundamental capacity limit of IRS-aided point-to-point multiple-input multiple-output (MIMO) communication systems with multi-antenna transmitter and receiver in general, by jointly optimizing the IRS reflection coefficients and the MIMO transmit covariance matrix. First, we consider narrowband transmission under frequency-flat fading channels, and develop an efficient alternating optimization algorithm to find a locally optimal solution by iteratively optimizing the transmit covariance matrix or one of the reflection coefficients with the others being fixed. Next, we consider capacity maximization for broadband transmission in a general MIMO orthogonal frequency division multiplexing (OFDM) system under frequency-selective fading channels, where transmit covariance matrices are optimized for different subcarriers while only one common set of IRS reflection coefficients is designed to cater to all the subcarriers. To tackle this more challenging problem, we propose a new alternating optimization algorithm based on convex relaxation to find a high-quality suboptimal solution. Numerical results show that our proposed algorithms achieve substantially increased capacity compared to traditional MIMO channels without the IRS, and also outperform various benchmark schemes. In particular, it is shown that with the proposed algorithms, various key parameters of the IRS-aided MIMO channel such as channel total power, rank, and condition number can be significantly improved for capacity enhancement.
Author Zhang, Shuowen
Zhang, Rui
Author_xml – sequence: 1
  givenname: Shuowen
  orcidid: 0000-0002-4511-4154
  surname: Zhang
  fullname: Zhang, Shuowen
  email: elezhsh@nus.edu.sg
  organization: Department of Electrical and Computer Engineering, National University of Singapore, Singapore
– sequence: 2
  givenname: Rui
  orcidid: 0000-0002-8729-8393
  surname: Zhang
  fullname: Zhang, Rui
  email: elezhang@nus.edu.sg
  organization: Department of Electrical and Computer Engineering, National University of Singapore, Singapore
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Snippet Intelligent reflecting surface (IRS) is a promising solution to enhance the wireless communication capacity both cost-effectively and energy-efficiently, by...
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SubjectTerms Algorithms
alternating optimization
Broadband
capacity
Channels
Coefficients
Communication
Communications systems
Covariance matrices
Covariance matrix
Intelligent reflecting surface (IRS)
MIMO communication
multiple-input multiple-output (MIMO)
Narrowband
OFDM
Optimization
Optimization algorithms
Orthogonal Frequency Division Multiplexing
passive reflection
Receivers
Reconfigurable intelligent surfaces
Reflection
Selective fading
Subcarriers
Transmitters
Wireless communications
Title Capacity Characterization for Intelligent Reflecting Surface Aided MIMO Communication
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