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ITU Journal on Future and Evolving Technologies, Volume 2 (2021), Issue 2







                                  LOW COMPLEXITY FULL DUPLEX MIMO SYSTEMS:
            ANALOG CANCELER ARCHITECTURES, BEAMFORMING DESIGN, AND FUTURE DIRECTIONS

                                                 George C. Alexandropoulos
                  Department of Informatics and Telecommunications, National and Kapodistrian University of Athens
                                        Panepistimiopolis Ilissia, 15784 Athens, Greece

                               NOTE: Corresponding author: George C. Alexandropoulos, alexandg@di.uoa.gr



          Abstract – The hardware complexity of the analog Self‑Interference (SI) canceler in conventional full duplex Multiple Input
          Multiple Output (MIMO) designs mostly scales with the number of transmit and receive antennas, thus exploiting the bene‑
           its of analog cancellation becomes impractical for full duplex MIMO transceivers, even for a moderate number of antennas.
          In this paper, we provide an overview of two recent hardware architectures for the analog canceler comprising of reduced
          number of cancellation elements, compared to the state of the art, and simple multiplexers for ef icient signal routing among
          the transceiver radio‑frequency chains. The one architecture is based on analog taps and the other on AUXiliary (AUX) Trans‑
          mitters (TXs). In contrast to the available analog cancellation architectures, the values for each tap or each AUX TX and the
          con iguration of the multiplexers are jointly designed with the digital transceiver beamforming  ilters according to desired
          performance objectives. We present a general optimization framework for the joint design of analog SI cancellation and
          digital beamforming, and detail an example algorithmic solution for the sum‑rate optimization objective. Our representative
          computer simulation results demonstrate the superiority, both in terms of hardware complexity and achievable performance,
          of the presented low complexity full duplex MIMO schemes over the relative available ones in the literature. We conclude the
          paper with a discussion on recent simultaneous transmit and receive operations capitalizing on the presented architectures,
          and provide a list of open challenges and research directions for future FD MIMO communication systems, as well as their
          promising applications.
          Keywords – Analog cancellation, beamforming, full duplex, MIMO, self‑interference modeling, simultaneous transmit
          and receive

          1.  INTRODUCTION                                     stronger than the power of the received signal of interest
                                                               (which is transmitted from another radio). Consequently,
          In band full duplex, also known shortly as Full Duplex
                                                               SI can severely degrade the reception of the signal of in‑
          (FD), is a candidate technology for sixth Generation (6G)
                                                               terest, and thus SI mitigation is required in order to max‑
          wireless systems because of the potential spectral ef‑
                                                               imize the spectral ef iciency gain of the FD operation. As

           iciency gains and latency improvements that can be
                                                               the number of antennas increases, mitigating SI becomes
          achieved through Simultaneous Transmit And Receive
                                                               more challenging,  since more antennas naturally result





          (STAR) operations within the entire frequency band [1,







                                                               in more SI components. For the case of a Single Input



          2, 3]. An FD radio can transmit and receive at the same
                                                               Single Output (SISO) FD node, it has been demonstrated
          time and same frequency resource unit, consequently, it  [13, 14] that signi icant SI mitigation can be achieved via
          can offer increased spectrum usage  lexibility compared  a combination of Analog  and Digital  (A/D) cancellation





          to a half duplex radio. Current wireless systems exploit  techniques, where an estimate of the received SI is sub‑
          Multiple Input Multiple Output (MIMO) communications,  tracted from the received signal (which is the sum of the
          where increasing the number of transmit and receive  SI signal and signal of interest). A straightforward exten‑

          antennas can increase the spatial Degrees of Freedom  sion of SI mitigation solutions used in SISO FD to the case
          (DoF), hence boosting spectral ef iciency and link reliabil‑  of MIMO FD can be envisioned. However, the hardware


          ity. Combining FD with MIMO communications can pro‑  resources required for analog SI cancellation become the
          vide further spectral ef iciency gains [4, 5, 6, 7, 8, 9, 10].  main bottleneck, since they scale with the number of an‑
          Thus, enabling FD MIMO technology, for small to large an‑  tenna elements. Speci ically, for the two most widely con‑
          tenna array systems, is of high interest in order to achieve  sidered analog  canceler solutions, which are: i) the ar‑







          the demanding throughput, latency, and sensing require‑  chitecture based on taps  (a tap  consists  of  analog  com‑




          ments of  ifth Generation (5G) and beyond wireless com‑

                                                               ponents that  implement  delay, phase shift, and attenu‑




          munication systems [11, 12].
                                                               ation) [13, 15];  and ii) the architecture based on AUXil‑
          An FD radio suffers from Self Interference (SI), which is
                                                               iary (AUX) TX Radio‑Frequency (RF) chains (an AUX TX
          the signal transmitted by the FD radio Transmitter (TX)
                                                               RF chain generates an analog cancellation signal from an
          that leaks to the FD radio Receiver (RX). At the RX of the  input  digital  reference  signal)  [14,  16],  the  hardware
          FD radio, the power of the SI signal can be many times
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