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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>A Survey on User Positioning in mmWave MIMO System⋆</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Mohd Adnan</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Adao Silva</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Rui Dinis</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Lukasz Krzymien</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Instituto de Telecomunicacoes (IT) and Departamento de Eletronica, Telecomunicacoes e Informatica (DETI), University of Aveiro</institution>
          ,
          <addr-line>3810-193 Aveiro</addr-line>
          ,
          <country country="PT">Portugal</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Instituto de Telecomunicações (IT), Faculdade de Ciências e Tecnologia, University Nova de Lisboa</institution>
          ,
          <addr-line>1099-085 Lisboa</addr-line>
          ,
          <country country="PT">Portugal</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Nokia Solutions and Networks</institution>
          ,
          <addr-line>Mobile Networks, Wroclaw</addr-line>
          ,
          <country country="PL">Poland</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Accurate user positioning plays a key role in millimeter wave massive multiple-input multiple-output (mmWaveMIMO) systems by improving beamforming and ensuring reliable connectivity. This paper presents a structured review of positioning techniques with a focus on high-mobility scenarios and challenging non-line-of-sight (NLoS) environments. We first review recent positioning methods that enhance communication speed, reliability, and eficiency in mmWave MIMO systems. It covers angle-based, time-based, and learning-based techniques that help overcome signal blockage, user mobility, and complex environments. We also review real-time positioning methods that support accurate beam alignment, reduce training time, and improve spectral eficiency. Finally, we discuss significant challenges, including beam misalignment, limited positioning accuracy, and high system complexity and present solution strategies that aim to improve system performance.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Positioning</kwd>
        <kwd>Beamforming</kwd>
        <kwd>Millimeter Wave</kwd>
        <kwd>MIMO</kwd>
        <kwd>Cell free</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        The ability to accurately determine a user’s location has become a key component of modern
communication systems. This feature supports various applications, including navigation, logistics, emergency
response, and a wide range of location-based services (LBS) [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Early positioning systems primarily
relied on satellite technologies, which delivered reliable performance in open outdoor environments.
However, as wireless communication networks have spread into urban, indoor, and densely populated
settings, the limitations of satellite-based positioning have become increasingly evident. To overcome
these challenges, alternative positioning methods based on Wi-Fi, Bluetooth, and cellular networks
have been adopted, ofering better resilience in complex environments [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].
      </p>
      <p>
        As wireless networks move toward sixth generation (6G), the need for accurate and fast positioning
is becoming more important. Many researchers have already studied how positioning works in fifth
generation (5G) networks, especially using technologies like millimeter-wave (mmWave), massive
multiple-input multiple-output (mMIMO), and cooperative localization methods [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. Some of these
studies discussed improvements in positioning across diferent network generations and suggested new
ways to include location features directly in 5G systems. Other studies explored the use of mmWave and
MIMO to support precise tracking in urban and indoor environments. However, a significant part of
this research was conducted before 5G was widely deployed, so there is still a gap in understanding the
practical performance of these systems [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. This gap brings new opportunities for 6G, where positioning
will likely become a built-in part of the network design. Recent studies on integrated localization and
communication (ILAC), along with current discussions about 6G development, show that future systems
aim to provide less than one meter level accuracy, very low delay, and afordable solutions [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
      </p>
      <p>
        To support the growing need for accurate positioning, researchers and industry experts are focusing
on advanced technologies such as mmWave and distributed MIMO (D-MIMO). mmWave communication
works in the 30–300 GHz frequency range and ofers high time and spatial resolution for accurate
location tracking. It uses features such as angle of arrival (AOA) and time of flight (TOF) to improve
positioning, especially in places where traditional systems, including global positioning system (GPS)
do not work well [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. When combined with large antenna arrays, mmWave systems have shown the
ability to achieve centimeter-level accuracy. This level of precision is important for many real-time
applications, such as self-driving vehicles, tracking of industrial equipment, and augmented reality
systems. Recent research also shows that using mmWave with multiple antennas can further improve
the accuracy of position estimates, especially in high-density settings.
      </p>
      <p>
        However, achieving accurate and reliable positioning in high-mobility environments brings several
technical challenges. Although mmWave signals ofer high precision, objects like buildings, vehicles,
and people can easily block them. In high mobility, including trains and autonomous cars, the signal path
changes quickly and often without a clear line-of-sight (LoS). This makes it harder to maintain a stable
connection. The users moving at high speeds also face problems like doppler shift and beam squint.
Doppler shift happens when movement changes the signal frequency at low mmWave frequencies
beam squint afects the direction of the signal across diferent frequencies. Both issues can reduce the
quality of communication and reduce positioning accuracy. To deal with these problems, systems need
to track user movement in real time. This involves quickly estimating the position and direction of
moving users using fast feedback and smart algorithms. One commonly used method is the extended
kalman filter (EKF), which combines diferent signal measurements such as time-diference-of-arrival
(TDOA) to track the user’s location and speed [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. These tracking techniques help the network adjust
signal directions as the user moves so that both communication and positioning stay accurate.
      </p>
      <p>In recent years, several studies have explored the role of positioning in supporting beamforming
in mmWave and MIMO-based systems. These studies highlight its potential to reduce beam training
overhead and improve link reliability. Many of these works focus on either mmWave localization or
beamforming separately, often under simplified conditions. However, research that combines
highaccuracy user positioning with mmWave-distributed MIMO beamforming in a unified framework
remains limited. While some initial eforts have introduced context-aware beamforming strategies
using location data, a detailed survey specifically targeting user positioning in mmWave MIMO systems
is still lacking. Additionally, few studies address practical concerns such as implementation complexity,
error sensitivity, and the impact of user mobility on system performance. This survey aims to fill that
gap by reviewing existing positioning techniques in the context of the mmWave MIMO system and
analyzing their impact on beamforming performance across various deployment scenarios. Figure 1
shows the positioning scenarios in the mmWave MIMO system. In this paper, we provide a detailed
review of the current positioning techniques used in mmWave MIMO systems and examines their
role in improving beamforming performance. The review categorizes these techniques into two main
groups: those that rely on traditional positioning methods and those that integrate machine learning
to enhance accuracy and adaptability. Additionally, the paper discusses the challenges in mmWave
positioning, including issues related to positioning errors, orientation inaccuracies, obstacles in the
environment, and storage requirements for positioning data. This study also explores the impact of
these challenges on the beamforming process and focuses on their efect on the overall performance
and eficiency of the system.</p>
      <p>The rest of the paper is organized as follows. Section 2 provides a literature review covering key areas
such as positioning in mmWave systems, location-aware beamforming, high-accuracy positioning in
high-mobility scenarios, and techniques to reduce complexity in non-line-of-sight (NLoS) environments.
Section 3 discusses the main challenges in mmWave positioning. Section 4 concludes the paper.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Literature Review</title>
      <p>In recent years, various positioning techniques for mmWave MIMO systems have been proposed
to address the challenges of accurate localization. This section provides a summary of the diferent
approaches, categorizing them into angle-based, time-based, and signal-strength-based methods, and
discusses the improvements made in positioning accuracy and system performance in these challenging
environments. The table 1 shows the comparison of paradigm with diferent criteria.</p>
      <sec id="sec-2-1">
        <title>2.1. Positioning in mmWave Systems</title>
        <p>
          Positioning methods in mmWave systems typically fall into three categories: angle-based, time-based,
and signal strength-based. Techniques like AoA and angle-of-departure (AoD) achieve high angular
resolution using narrow beams and large antenna arrays, but their performance drops in
multipathdense environments. To overcome this, recent work explores advanced models that leverage difuse
scattering and tensor decomposition to extract positional information even under NLoS conditions. To
improve positioning in high-speed railway scenarios, the authors [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ] proposed a hybrid beamforming
method for mmWave communication that tackles beam misalignment caused by rapid movement. The
system uses a non-uniform analog beamforming codebook that adjusts beamwidth based on the distance
between the base station and mobile relays to improve alignment along the train’s path. In the digital
domain, zero-forcing precoding is used to suppress inter-relay interference. Together, these techniques
form a beamforming framework that stabilizes connections during cell crossings. Although it doesn’t
directly estimate user location, this method improves spatial consistency and makes positioning more
reliable in high-mobility environments.
        </p>
        <p>
          In [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ], they discussed two-stage beam training algorithm to enhance beam alignment in multi-user
millimeter-wave systems. To improve eficiency, the algorithm first removes low-quality beams with
coarse signal measurements and then performs a more detailed search within the remaining candidate
set. Unlike previous methods that align beams for users one at a time, this approach enables parallel
beam alignment and reduces training overhead and inter-user interference. The authors [
          <xref ref-type="bibr" rid="ref10">10</xref>
          ] provide
a foundational analysis of the positioning capabilities of mmWave systems, examining how wide
bandwidths and highly directional antennas can support accurate localization. The paper explores
key techniques such as time-of-arrival (ToA), time-diference-of-arrival (TDoA), and angle-of-arrival
(AoA), comparing their efectiveness at mmWave frequencies like 28 GHz and 73 GHz. Narrower beams
and larger arrays yield finer AoA estimates, which are essential for high-precision positioning. The
paper also emphasizes the potential of hybrid localization methods combining angular and time-based
measurements to improve robustness in real-world environments.
        </p>
        <p>
          In [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ], an angle-based positioning method was proposed that uniquely leverages difuse scattering
paths in mmWave MIMO systems to improve localization under NLoS conditions. While many existing
systems discard scattered multipath components as interference, this work treats them as useful
information. The authors develop a tensor decomposition algorithm based on a spherical wavefront
model to estimate angular parameters from both direct and scattered paths. The method improves
angular diversity and robustness in complex urban or indoor scenarios by extracting multiple incident
angles from the environment. The authors [
          <xref ref-type="bibr" rid="ref12">12</xref>
          ] investigated the theoretical and practical feasibility of
achieving millimeter-level positioning accuracy using mmWave systems equipped with large antenna
arrays. The paper calculates the cramér-rao bounds (CRB) to establish the lower limits of error in
range and position estimation across diferent system configurations. It considers both LoS and NLoS
environments that examine the efects of prior channel knowledge and analysis about the antenna
array geometry and time synchronization afect positioning accuracy. It also introduces the concept
of position dilution of precision (PDOP) as a metric to evaluate the spatial configuration of anchors
in relation to localization accuracy. A recent advancement in Direct Position Determination (DPD)
methods is the Passive Synthetic Aperture (PSA)-DPD technique, which directly estimates the position
of a signal emitter by coherently combining received pulse signals from multiple moving receivers
[13]. Unlike traditional two-step methods that first estimate parameters like time delay or doppler
shift before calculating position, PSA-DPD maximizes a cost function based on the combined signals,
improving localization accuracy. Inspired by synthetic aperture radar, this approach uses the motion of
receivers to create a virtual large antenna aperture, enhancing spatial resolution without increasing
hardware complexity.
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>2.2. Location-Aware Beamforming</title>
        <p>In mmWave MIMO systems, beamforming is used to reduce signal loss and keep connections focused in
the right direction. Traditional beam training methods can be slow and resource-heavy, especially when
users are moving or there are many users in the area. Location-aware beamforming uses information
about the user’s position from GPS, motion sensors, or radio signals to select and adjust the best beam
direction. This makes it easier and faster to find the right beam, improving connection speed and
reducing delay. In [14], the authors proposed a method to enhance indoor positioning accuracy by
combining the observed time diference of arrival (OTDOA) with beamforming. OTDOA estimate the
user position based on the time diference in receiving reference signals from multiple base stations.
However, its accuracy is limited by quantization errors, particularly in environments where many user
devices are closely spaced leading to overlapping estimated positions. To address this, the authors
used beamforming techniques that rely on measuring the reference signal received power (RSRP) from
the two strongest beams. These RSRP values are used to estimate the angle between the user and the
serving base station. The system updates the initial OTDOA-estimated position by projecting it along
this angle, which gives more accurate location.</p>
        <p>In [15], a positioning-assisted three-dimensional (3D) beamforming system was designed to improve
the reliability and eficiency of millimeter-wave communication. Traditional beamforming based on
channel state information (CSI) requires high training overhead and power consumption, which becomes
impractical with large antenna arrays. To address this, the authors used user positioning data to steer
beams toward the estimated receiver location and reduce the need for complex channel estimation.
The paper develops a closed-form expression for outage probability that considers factors such as
positioning errors, transmission power link distance, and beamwidth. The paper [16] introduced a
method to improve positioning accuracy in cellular MIMO systems by using Hybrid Analog and Digital
Beamforming (HBF). With the growing need for high-accuracy positioning, the authors focus on a
novel technique called sensing beamforming, which enhances positioning while maintaining eficient
communication. This approach optimizes fisher information to adjust beam alignment and allocate
power across multiple resources, including the time frequency and beam dimensions. The method starts
by estimating sensing elements such as the AoA, AoD, and time of arrival (ToA) from multiple signal
paths. A newton-based algorithm then refines these estimates to filter out multiple path clutters caused
by NLoS conditions, making the positioning more robust.</p>
        <p>The authors [17] proposed a method to optimize intelligent reflecting surface-assisted multiple-input
single-output (IRS-assisted MISO) systems by jointly designing beamforming and IRS positioning in
multi-access point environments. They introduced algorithms based on generalized benders
decomposition (GBD) for beamforming, mixed-integer semidefinite programming (MISDP) for access point (AP)
user pairing, and a heuristic iterative link removal (GBD-ILR) to reduce computational complexity. The
paper also explores aerial IRS positioning using a successive convex approximation (SCA) method to
improve performance. Finally, [18] proposed a machine learning-based fingerprint positioning method
for massive MIMO systems in NLoS environments. It is considered a spatially refined beam-based
channel model to improve angle resolution and extract a beam domain channel amplitude matrix as
a location-related fingerprint, which includes multi-path information including amplitude, AoA, and
DoA. This work introduced two machine learning models. The first is a classification-based model that
categorizes user terminal (UT) fingerprints to reduce search space. The second is a regression-based
model that directly estimates position coordinates and eliminates the need for similarity searches.</p>
      </sec>
      <sec id="sec-2-3">
        <title>2.3. High accuracy positioning under high mobility</title>
        <p>Achieving high positioning accuracy in high-mobility scenarios is a critical challenge for modern
wireless systems, especially in applications such as autonomous vehicles and high-speed trains. Rapid
movement, frequent handovers, and changing signal conditions require robust and responsive
positioning techniques. The integration of high-accuracy positioning services with high-speed vehicles in
mmWave communications was discussed in [19]. It focuses on simultaneous localization and
communication (SLAC) techniques that use CSI to track vehicles in dynamic environments. While Doppler
and spatial wideband efects challenge positioning accuracy, the paper shows how these efects can be
used to improve vehicle tracking. By using parameters such as ToA, AoA, and Doppler shifts, the study
demonstrates that high-accuracy positioning can be achieved with low-complexity algorithms that
approach the cramér-rao lower bound (CRLB) performance. The work in [20] explores high-accuracy
positioning for urban road trafic using 5G mmWave technology. It evaluates various positioning
techniques, such as multilateration (based on time-of-arrival and signal strength) and triangulation
(using angle-of-arrival), as well as hybrid methods combining both. The authors used ray-tracing
simulations to evaluate performance in real-world conditions taking into account errors and network
synchronization. This paper [21] focused on positioning high-speed trains (HSTs) using 5G new radio
(NR) synchronization signals. The authors explore how time-of-arrival (TOA) and angle-of-departure
(AOD) measurements from 5G synchronization signals can be used to track the train’s position,
velocity, and acceleration in real time. Using an extended kalman filter (EKF), the train’s position is
estimated even at high speeds (up to 500 km/h). The results show that combining both TOA and AOD
measurements provides sub-meter accuracy for over 75% of the tracking time, which is essential for
mission-critical applications like autonomous trains.</p>
        <p>In [22], they presented a real-time fusion positioning system for urban rail transit that combines
ultra-wideband (UWB) and inertial measurement unit (IMU) data using an error-state kalman filter
(ESKF) algorithm. The system aims to improve the accuracy of the train position in tunnels where
satellite-based positioning is inefective. The authors proposed a UWB ranging error model based on
both static and dynamic measurements and validated the fusion algorithm through simulations and
real-world tests. The results showed that the ESKF-based fusion system greatly improves positioning
accuracy compared to standalone UWB that achieves an error of less than 0.4 meters under normal
conditions. High-accuracy positioning method that combines carrier phase measurements and Bayesian
estimation to enhance mobile features for positioning was presented in [23]. The authors propose a
system that estimates the mobile feature using time-diferential carrier phase measurements and utilizes
this information along with distance and carrier phase measurements to enhance positioning accuracy.
The method applies bayesian estimation to calculate the posterior probability, which is then solved
using a factor graph and sum-product algorithm.</p>
      </sec>
      <sec id="sec-2-4">
        <title>2.4. Reduce Complexity in NLoS Environment</title>
        <p>Accurate positioning in mmWave systems with low hardware requirements requires reducing system
complexity in NLoS or partially blocked scenarios without sacrificing performance. In [ 24], the
lowcomplexity method was presented for positioning single-antenna users in mmWave systems using
downlink (DL) signals. Unlike traditional uplink (UL) methods that rely on AoA and require more
power from user devices, this approach uses AOD and adaptive beamforming from the base station.
A two-step process is proposed: first, the base station sends uniform signals, and the user estimates
its rough direction and feeds it back and second, the base station steers focused beams toward that
direction, improving accuracy. The authors [25] proposed a low-complexity position estimation method
for beyond 5G and 6G networks using angle-based localization. It combines downlink AoD and uplink
AoA measurements in a massive MIMO-OFDM system. Instead of relying on complex iterative methods
like gradient descent, it uses a simplified least squares (LS) approach to estimate user location with
reduced computation.</p>
        <p>Machine learning methods to improve radio positioning in NLoS environments within beamforming
networks were discussed in [26]. This work compares three techniques: k-nearest neighbors (k-NN),
deep neural networks (DNN), and long short-term memory networks (LSTM) for estimating user
positions using signal features from beamforming transmissions. This paper [27] presents a practical
approach for tracking vehicles in multipath NLoS environments using mmWave MIMO systems. The
method relies on a two-stage Kalman filter. In the first stage, the system estimates a rough position by
tracking signal directions from the base station. In the second stage, it improves the estimate by using
motion data from the vehicle. By treating both the wireless channel and the vehicle’s movement as
evolving patterns over time, the system adapts well to sudden changes in the environment.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Research challenges in mmWave Positioning</title>
      <p>The mmWave technologies ofer significant promise in improving user positioning accuracy but face
several challenges in real-world environments. This section explores the main research challenges
associated with mmWave positioning systems, focusing on their impact on performance and potential
solutions.</p>
      <sec id="sec-3-1">
        <title>3.1. Beam Misalignment in High Mobility Environments</title>
        <p>One of the major challenges in positioning beamforming is maintaining accurate beam alignment
in high-mobility environments. When users or vehicles move rapidly, frequent changes in location
cause the AoA and AoD to shift quickly. This dynamic behavior leads to beam misalignment, which
degrades both communication quality and positioning accuracy. Additionally, high mobility introduces
Doppler shifts that distort the received signals and complicate channel estimation. The situation
is made worse in wideband systems where beam squint causes diferent subcarriers to experience
diferent spatial characteristics, making it dificult to maintain consistent beamforming across the
bandwidth. These factors combined make real-time low-latency beam tracking very challenging when
limited by computational resources and the lack of precise real-time location information. To address
beam misalignment in high-mobility environments, techniques like low-complexity direct position
determination (DPD) algorithms and fisher information-based hybrid beamforming optimization can
improve positioning accuracy by leveraging doppler shifts and beam squint efects. Machine learning
models can further optimize beam alignment by dynamically adapting to movement patterns.</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Positioning Accuracy in NLoS Scenario</title>
        <p>Positioning accuracy in NLoS scenarios is significantly impacted by both static and mobile obstacles.
In mmWave networks, static obstacles like buildings and walls block the LoS between the transmitter
and receiver, leading to signal degradation. Mobile obstacles, such as moving people, are especially
problematic in indoor environments. These obstructions generate multipath signals that complicate the
localization process and reduce accuracy. GPS becomes unreliable in urban and indoor areas due to poor
signal strength, while technologies like Li-Fi, which depend on LoS communication, are highly sensitive
to any obstructions. The constant movement of users in environments like vehicles further increases
the likelihood of signal blockage, making it more challenging to maintain accurate positioning. To solve
positioning accuracy issues in NLoS scenarios, techniques like crowdsensing, machine learning models
(k-NN, DNN, LSTM), and sensor fusion can be used to improve accuracy. Kalman filters, dynamic
channel estimation, and autoregressive models help track and predict channel changes.</p>
      </sec>
      <sec id="sec-3-3">
        <title>3.3. Positioning Overhead</title>
        <p>Positioning overhead is also one of the major challenges in beamforming systems that rely on
positioningbased beamforming schemes that use large databases for location information. These systems require
significant computational resources and storage to manage large amounts of positioning data. Storing
current and historical positioning information in databases consumes a lot of memory in dynamic
environments with many users. Beam training setup times increase as the system needs to update
beam pairs during each beacon frame. This leads to higher power consumption. Additionally,
maintaining accurate positioning in environments with mobility and obstacles such as vehicles or urban
areas increases the dificulty. Traditional ofline learning methods struggle to adapt to environmental
changes, while machine learning methods require careful management of feature selection and network
complexity.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Conclusions</title>
      <p>In this paper, we presented a systematic review of user positioning methods in mmWave MIMO systems
and explained their role in improving beamforming in high mobility and NLoS scenarios. This paper
covers angle-based, time-based, and learning-based approaches that improve beamforming accuracy,
reduce overhead, and enable real-time communication. It also presented major challenges, including
beam misalignment, positioning errors, and system complexity, along with solution techniques from
recent research.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Acknowledgments</title>
      <p>This work has received funding from the Marie Sklodowska-Curie Actions (MSCA) under the project
"ultra-massive MIMO for future cell-free heterogeneous networks" (MiFuture, grant agreement ID
101119643). This work was also supported by FCT - Fundação para a Ciência e Tecnologia, I.P. by
project reference UIDB/50008, and DOI identifier 10.54499/UIDB/50008”</p>
    </sec>
    <sec id="sec-6">
      <title>Declaration on Generative AI</title>
      <p>During the preparation of this work, the authors used Grammarly in order to spelling check. After
using this tool, the authors reviewed and edited the content as needed and take full responsibility for
the publication’s content..
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