Page 124 - ITU Journal Future and evolving technologies – Volume 2 (2021), Issue 2
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ITU Journal on Future and Evolving Technologies, Volume 2 (2021), Issue 2




          requirements in MIMO scenarios are as follows. For the case   architectures together with the presented joint design of
          where the analog canceler is based on multiple taps,  an   analog cancellation and TX/RX digital BF are capable of
          extension to MIMO requires at least       taps with        achieving higher rates with less hardware compared to

                                               
                                             
          and    denoting the number of RX and TX antennas, re‑   State‑of‑the‑Art (SotA) FD MIMO solutions. This paper’s

                 
          spectively, at an FD MIMO node   .  For the case where the   contributions can be summarized as follows.
          analog canceler is based on multiple AUX TX RF chains, an
                                                                 • We provide a detailed overview of two recent ana‑
          extension  to  MIMO  requires  at  least     AUX  TXs.  Con‑
                                              
          sequently, depending on the number of TX and RX anten‑   log SI canceler architectures, one based on multi‑
                                                                   ple taps and another one consisting of multiple AUX
          nas at the FD MIMO node, the extension of SISO analog

                                                                   TX RF chains. Both architectures include networks
          canceler solutions to the MIMO case may be prohibitively
                                                                   of MUXs/DEMUXs intended for ef icient signal rout‑

          complex.  Thus, some works have proposed only digital SI

                                                                   ing between either the taps or AUX TXs and the
          mitigation  for  FD  MIMO  [4,  7]. These  approaches  ex‑

                                                                   transceiver antennas.
          ploit the availability of multiple antennas at the FD node
          in order to provide SI mitigation via digital BeamForming
                                                                 • We present a general optimization framework for
          (BF); such an approach is known as spatial suppression.
                                                                   the joint design of analog SI cancellation and digital
          However, as has been pointed out, spatial suppression ap‑
                                                                   transceiver BF at FD MIMO nodes.
          proaches often result in lower rates for both the outgoing
          and incoming signals of interest, since some of the avail‑   • We present an example algorithmic design for the
          able spatial DoF are solely devoted for mitigating SI.
                                                                   analog cancellation parameters as well as the digital






          In this paper, we present an overview of the recent ar‑




                                                                   TX precoder and RX combiner that targets the maxi‑







          chitectures of [17, 18, 19] for analog  SI cancellation  in
                                                                   mization of the FD sum rate performance.






          FD MIMO  systems and present an optimization frame‑





          work for jointly  designing the analog  canceler and the   • Extensive simulation results incorporating realistic






          TX/RX  digital  BF parameters. The   irst architecture for   models for non‑ideal hardware for both cosidered
          analog cancellation consists of multi‑tap hardware, where   analog canceler architectures are presented.  We


          the number of taps  does not increase with the number    compare both designed low complexity FD MIMO











          of TX or RX antenna  elements. The second architec‑      schemes with lately available ones in terms of hard‑


          ture includes AUX TX RF chains whose number does not     ware complexity and achievable performance.
          again depend on the number of TX or RX antennas.  The

          number of taps in the one architecture and that  of AUX   • We discuss recent STAR schemes capitalizing on the










          TXs in the other can be chosen   line as a function of   presented FD MIMO hardware architectures, and
















          size constraints, cost per tap  and cost per AUX TX RF   present a list of open challenges and research direc‑
          chain, or other constraints on the analog canceler hard‑   tions for future FD MIMO communication systems, as

          ware. Both simpli ied analog canceler architectures are   well as their promising applications.
          enabled via the use of MUltipleXers (MUXs) and DEMUlti‑
          pleXers (DEMUXs), which allow  lexible connectivity be‑   The outline of the paper is as follows. The considered sys‑








          tween the taps  or AUX TXs and the transceiver anten‑   tem and signal models are included in Section 2, whereas
          nas. The settings of taps or AUX TXs and the con igu‑   Section 3 details two analog SI cancellation architectures.










          rations of MUXs/DEMUXs is computed via the presented   Our general optimization framework for FD MIMO oper‑

          optimization framework. The  lexible signal routing via   ation is provided in Section 4, and Section 5 presents an
          MUXs/DEMUXs  enables  the use of reduced taps  or AUX   example design optimization formulation together with a





          TXs in an optimized way, since either of the latter will be   detailed low complexity solution. Simulation results are





          used between  the subset of TX and RX antennas  where   presented and explained in Section 6, while Section 7 dis‑


          they are mostly   icial. The digital beamformer and   cusses recent applications of the considered FD MIMO ar‑

          analog canceler parameters are thus designed by taking   chitectures together with open research challenges for FD
          into account each other’s capabilities, hence, the burden   systems. The paper is concluded in Section 8.
          of SI mitigation is split between digital BF and analog can‑   Notation: Vectors and matrices are denoted by boldface
          cellation.  We note that the related work [4] has consid‑   lowercase and boldface capital letters, respectively. The






          ered joint design of digital  BF and analog  cancellation,   transpose and Hermitian transpose of A are denoted by
                                                                 T
                                                                        H
          however these and related solutions [20, 21] assume un‑   A and A , respectively, and det(A) is the determinant
          derlying analog canceler hardware as in [13, 6, 15, 16, 14],   of A, while I (   ≥ 2) is the    ×    identity matrix and
                                                                            






          which scales with the number of transceiver antennas.   0   ×    (   ≥ 2 and    ≥ 1) represents the    ×    ma‑

          For the JointNull solution proposed in [22], although the   trix with all zeros. ‖a‖ stands for the Euclidean norm of
          number of analog  cancelers does not necessarily scale   a, operand ⊙ represents the Hadamard entry‑wise prod‑






          with the number of antennas, the underlying architecture   uct, and diag{a} denotes a square diagonal matrix with
          of the canceler (i.e., number of taps or AUX TXs) is not ex‑   a’s elements in its main diagonal. [A] , [A] (  ,∶) , and [A] (∶,  )
                                                                                                ,  

          plicitly taken into account in the BF design. As our sim‑   represent A’s (  ,   )‑th element,   ‑th row, and   ‑th column,
          ulation  results will  show, the reviewed analog  canceler  respectively, while [a] denotes the   ‑th element of a. ℝ




                                                                                    
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