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







           EMR: A NEW METRIC TO ASSESS THE RESILIENCE OF DIRECTIONAL MMWAVE CHANNELS TO
                                                      BLOCKAGES

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                                 Fatih Erden , Ozgur Ozdemir , Ismail Guvenc , David W. Matolak 2
          1 Department of Electrical and Computer Engineering, NC State University, Raleigh, NC 27606, Department of Electrical
                                                                                         2
                                  Engineering, University of South Carolina, Columbia, SC 29208
                                     NOTE: Corresponding author: Fatih Erden, ferden@ncsu.edu


          Abstract – Millimeter‑wave (mmWave) communication systems require narrow beams to compensate for high path loss
          and to increase the communication range. If an obstacle blocks the dominant communication direction, alternative paths
          (directions) should be quickly identi ied to maintain reliable connectivity. In this paper, we introduce a new metric to quantify
          the Effective Multipath Richness (EMR) of a directional communication channel in the angular domain. In particular, the
          proposed metric takes into account the strength and spatial diversity of the resolved Multipath Components (MPCs), while also
          considering the beamwidth of the communication link and the blockage characteristics. The metric is de ined as a weighted
          sum of the number of distinct MPC clusters in the angular domain, where the clustering of the MPCs is performed based on
          the cosine‑distance between the dominant MPCs.
          For a given transmitter (TX) and receiver (RX) pair, the EMR is a single scalar value that characterizes the robustness of the
          communication link against blockages, as it captures the number of unique communication directions that can be utilized.
          It is also possible to characterize the blockage robustness for the whole environment by evaluating the spatial distribution
          of the EMR metric considering various different TX/RX locations. Using our proposed metric, one can assess the scattering
          richness of different environments to achieve a particular service quality. We evaluate the proposed metric using our 28 GHz
          channel measurements in a library environment for Line‑of‑Sight (LOS) and NLOS scenarios, and compare it with some other
          commonly used propagation metrics. We argue that EMR is especially informative at higher frequencies, e.g., mmWave and
          terahertz (THz), where the propagation attenuation is high, and directional Non‑Light‑of‑Sight (NLOS) communication is
          critical for the success of the network.
          Keywords – 28 GHz, 5G, 6G, angular spread, blockage, delay spread, millimeter‑wave (mmWave), multipath components
          (MPCs), multipath richness

          1.  INTRODUCTION                                     reasonably achieved within Quality‑of‑Service (QoS) con‑
                                                               straints) at mmWave frequencies to only a few [4], i.e.,
          High‑frequency  bands,    such   as   millimeter‑    Line‑of‑Sight (LOS) path, if available, and a few additional
          wave (mmWave) and terahertz (THz), have attracted    paths through strong re lections from obstacles. The
          increasing attention as a solution to the continuously  number of dominant paths may further decrease, or there
          growing data rate demand. Due to very large amounts  may be none at all, if one or more paths are blocked due to
          of available spectrum at these higher frequencies, they  mobile obstacles, as illustrated in Fig. 1. However, it is still
          have received major attention for 5G, and recently 6G,  possible to establish multi‑gigabit links between the user
          standardization efforts. For ef icient planning of wireless  and the serving Base Station (BS)/Access Point (AP) pro‑
          networks, a thorough understanding of the propagation  vided that the user location has the minimum necessary
          channel characteristics in the respective deployment  Received Signal Strength (RSS) over at least one path. The
          band is critical. Even though comprehensive knowledge  most popular solution for compensating the additional
          of the sub‑6 GHz bands have been acquired already    loss at high frequencies is to use phased array antennas.
          through extensive channel measurements and modeling,  Phased array antennas can electrically create and steer
          there is still much to investigate about mmWave bands  beams in different directions so that alternate paths (with
          for successful deployment and operation of the wireless  more gain due to beamforming) can be utilized in case the
          networks using these bands.                          most preferable path(s) is (are) blocked [3].

          Due to their high frequency, mmWave signals are more  Given the foregoing background, the number of backup
          sensitive to blockages and attenuate much faster than  paths (i.e., useful paths that are dominant over any weak
          the sub‑6 GHz signals [1, 2]. For the same reason, free‑  scattered components and which can be utilized when
          space path loss of a typical mmWave link is more than  stronger paths are blocked) will increase the chance of es‑
          an order‑of‑magnitude larger than that of a traditional  tablishing and maintaining communication between the
          sub‑6 GHz link [3]. These factors restrict the number  users and the BSs/APs. Accurate knowledge of these
          of dominant paths (over which communication can be   paths under varying channel conditions is important and





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