# Channel Characterization and Path Loss Modeling in Indoor Environment at 4.5, 28, and 38 GHz for 5G Cellular Networks

Authors: Mohammed Bahjat Majed; Tharek Abd Rahman; Omar Abdul Aziz; Mohammad Nour Hindia; Effariza Hanafi
Journal: International Journal of Antennas and Propagation
 (2018)

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## Abstract

The current propagation models used for frequency bands less than 6 GHz are not appropriate and cannot be applied for path loss modeling and channel characteristics for frequency bands above 6 GHz millimeter wave (mmWave) bands, due to the difference of signal propagation characteristics between existing frequency bands and mmWave frequency bands. Thus, extensive studies on channel characterization and path loss modeling are required to develop a general and appropriate channel model that can be suitable for a wide range of mmWave frequency bands in its modeling parameter. This paper presents a study of well-known channel models for an indoor environment on the 4.5, 28, and 38 GHz frequency bands. A new path loss model is proposed for the 28 GHz and 38 GHz frequency bands. Measurements for the indoor line-of-sight (LOS) and non-line-of-sight (NLOS) scenarios were taken every meter over a separation distance of 23 m between the TX and RX antenna locations to compare the well-known and the new large-scale generic path loss models. This measurement was conducted in a new wireless communication center WCC block P15a at Universiti Teknologi Malaysia UTM Johor, Malaysia, and the results were analyzed based on the well-known and proposed path loss models for single-frequency and multifrequency models and for directional and omnidirectional path loss models. Results show that the large-scale path loss over distance could be modeled better with good accuracy by using the simple proposed model with one parameter path loss exponent PLE (n) that is physically based to the transmitter power, rather than using the well-known models that have no physical base to the transmitted power, more complications (require more parameters), and lack of anticipation when explaining model parameters. The PLE values for the LOS scenario were 0.92, 0.90, and 1.07 for the V-V, V-H, and V-Omni antenna polarizations, respectively, at the 28 GHz frequency and were 2.30, 2.24, and 2.40 for the V-V, V-H, and V-Omni antenna polarizations, respectively, at the 38 GHz frequency.


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## Body

## 1. Introduction

The frequency spectrum is a valuable natural resource, which has been swiftly utilized for worldwide, regional, and national telecommunication infrastructures [1, 2]. In light of this, the World Radio Conference (WRC-15) and the International Telecommunication Union for Radiocommunication (ITU-R) have been established as the main guidelines for the worldwide spectrum allocation for the next generation of cellular systems [3]. In recent years, there has been an enormous advancement in cellular data traffic owing to the development of smartphones, tablets, and devices that deliver, oversee, convey, and save zettabytes of data annually [4–6]. Moreover, the smartphone adoption rates are markedly rising as carriers and service providers are striving to engage more clients [7, 8]. Fundamentally, the arrival of smartphones and “wireless fidelity”- (WiFi-) supported devices has expedited the growth of wireless technologies and utilization. Nevertheless, it has formed the bottleneck in the sub-6 GHz spectrum, wherein most of these devices function [9–12].From the beginning of the 2000s, there has been an extensive utilization of 2.4 GHz and 5 GHz WiFi bands for indoor wireless communications in common workplace settings, eateries, and lodging houses [13, 14]. Nonetheless, the heavy deployment of indoor hotspots and latest wireless multimedia devices has caused high bottleneck and traffic over indoor networks [15, 16]. Moreover, the 60 GHz mmWave band is applied for wireless gigabit alliance (WiGig) along with the 2.4 GHz and 5 GHz WiFi bands, to enable high-data-rate uses. As such, the broad bandwidth at 60 GHz has promoted widespread 60 GHz indoor propagation analysis to determine the essential attributes of the channel for inventing indoor wireless local area network (WLAN) systems [17]. It should be noted that the WLAN systems have potential for attaining multi-gigabit per-second throughputs [18, 19].In general, the wireless spectrum more than 6 GHz, particularly among 30 GHz and 300 GHz, is known as the mmWave spectrum. The mmWave spectrum encompasses a substantial volume of fresh bandwidth that is rarely used. Nevertheless, it could be feasible for unlicensed or licensed utilization in the near future [9, 10, 20]. Presently, the unlicensed 60 GHz band is the only millimeter wave band applied for extensive commercial utilization. In this case, oxygen absorption generates loss larger than free space in comparison with the alternative millimeter wave bands. Consequently, this lowers the signal strength across the extended array (up to a few hundreds of meters) of propagation distances [21].The band more than 6 GHz at the millimeter wave band is currently purposed as a promising candidate for the latest cellular 5G communication system [22]. Accordingly, the system capability of the 5G cellular communication system will be enhanced. Consequently, the cellular devices functioned through the base station provided with an enhanced service setting with high-speed broadband transmission with low latency compared to the existing cellular communication systems [23]. Hence, the utilization of millimeter wave bands for the 5G cellular communication system will lead to innovative multimedia facilities.Extensive characterization and modeling are required in mmWave frequency bands to obtain a general model. This study is aimed at investigating the channel characterization and path loss modelling in frequency bands below and above 6 GHz. Extensive indoor propagation measurements were performed for the 4.5, 28, and 38 GHz frequency bands. Also, a new path loss model is proposed for 28 and 38 GHz. A measurement campaign was carried out for line-of-sight (LOS) and non-line-of-sight (NLOS) scenarios to provide accurate comparisons of the well-known and new large-scale path loss models. Propagation modelling and channel characterization were investigated based on the well-known and proposed path loss models of single-frequency and multifrequency models and for directional and omnidirectional path loss models.The rest of the paper is organized as follows. Section2 and Section 3 discuss the recent related work and the measurement environment and experiment procedures, respectively. Section 4 presents measurement hardware equipments. Large-scale characterization for single-frequency and multifrequency path loss models is presented in Section 5. The proposed model is provided in Section 6. Section 7 presents measurement results and discussion. The proposed model analysis is discussed in Section 8. Finally, the conclusions of the results are provided in Section 9.


## 2. Related Work

Over the past 25 years, many studies have focused on the indoor propagation and channel modelling for a frequency less than 6 GHz. For example, a 900 MHz signal using 200 kHz of bandwidth had attenuation between 28 dB and 61 dB per decade of distance for a radius up to 27 m. The experiment was conducted in multiple floors of an indoor workplace setting [24]. Using a similar setting, another study demonstrated attenuation about 31 dB at d0=1m (FSPL in the first meter) at 900 MHz with four breakpoints. The study utilized a multiple slope model at larger distances and PLE value of 2 for a radius up to 10 m [25]. Furthermore, an indoor multipath propagation analysis was conducted by Saleh and Valenzuela. The study was conducted at 2 m heights via a 10-nanosecond (ns) probing pulse positioned at 1.5 GHz with V-V polarization discone antennas for the transmitter and receiver [26]. The indoor channel had the attenuation of signal per decade, ranging from 30 dB to 40 dB.In the beginning of the 1990s, Rappaport et al. employed circularly and linearly polarized antennas for indoor analysis at 1.3 GHz and 4 GHz. The findings demonstrated a similar propagation path loss for 1.3 GHz and 4 GHz and greater cross-polarization discrimination for LOS channels in comparison with NLOS or blocked channels [27, 28]. Subsequently, the importance of applying a 1 m reference radius aiming at significant indoor path loss models was reported [29]. The authors also indicated the practicability of ray-tracing in terms of estimating the impulse response of indoor channels for single-floor and multifloor propagation. A household structure exhibited PLE values of 1.7 and 3.1 for LOS and NLOS at the 5 GHz frequency, with respect to the 1 m open-space reference radius [30]. In addition, analysis of indoor workplaces using soft dividers at 900 MHz and 1900 MHz demonstrated PLE values of 2.4 and 2.6, respectively (w.r.t.), and a 1 m free-space reference distance constituting standard deviations of 9.6 dB and 14.1 dB, respectively. Furthermore, a radiofrequency infiltration for metallic shaded windows revealed attenuation ranging from 3 dB and 30 dB. Moreover, Rappaport and Sandhu demonstrated an analysis on signal propagation for a wide range of frequencies from 850 MHz to 60 GHz. Moreover, the study investigated signal propagation for wireless communications systems within buildings [31].Also prior to the beginning of the 1990s, there have been numerous investigations focused on mmWave bands intended for the indoor setting. These studies mainly focused on the 60 GHz band, which is the furthermost potential approach for multi-gigabit wireless indoor communications systems. An open-ended waveguide at the transmitter and directional horn antenna at the receiver were used for analysis of indoor channels at 60 GHz [18, 32]. A sliding correlator channel sounder was utilized with an RF null-to-null bandwidth of 200 MHz and a 10 ns time resolution, with power delay profiles (PDPs) or channel impulse responses captured at discrete pointing angles while rotating the receiver antenna. LOS analysis with a 1 m close-in free-space reference distance revealed a PLE value below 2 (theoretical FSPL). The results were equivalent with lesser frequencies in indoor settings.A rotated horn antenna was employed for indoor laboratory analysis at 28 GHz, where VNA was used to quantify the channel [33]. The authors utilized the Saleh-Valenzuela model to describe the indoor channel. Moreover, a study used a VNA and a pair of horn antennas with a 26 dBi gain and 30 m distance range for propagation analysis in an indoor setting at the 28 GHz channel. The PLE in various indoor settings was expected to be 2, 2.2, 1.2, and 1.8 in a free space, hallway, corridor, and office, respectively [34]. In addition, reflection and penetration loss analysis was performed at 28 GHz inside and nearby buildings in New York City [35]. The findings demonstrated a huge penetration loss of 45.1 dB for an office building with three interior walls. Also, outdoor tinted glass caused a penetration loss of 40.1 dB compared to indoor nontinted glass that had 3.9 dB of penetration loss. A measurement was conducted [36] in an anechoic chamber and in the laboratory on the 28 and 82 GHz frequency bands to characterize the channel in the mmWave bands. Hindia et al. conducted a measurement to study a well-known channel model in an outdoor environment on 26, 28, 36, and 38 frequency bands for single-frequency and multifrequency schemes, and they also propose a new path loss model for the outdoor environment [37]. In [38–40], measurements were conducted at 28 and 73 GHz frequency bands in an indoor office using directional and omnidirectional antennas. In these studies, the large-scale and small-scale parameters were characterized. In [41, 42], measurements and simulation were conducted at the 28, 38, and 73 GHz frequency bands to characterize the propagation channel in CI and ABG path loss models and to evaluate and estimate some parameters.


## 3. Measurement Environment and Experiment Procedures

Quantifications at the 4.5, 28, and 38 GHz carrier signals were conducted to generate a prototype of the 5G wireless links that proposed to function through prospective 5G network bands. Measurement campaigns were conducted with reference to LOS and NLOS case studies. These campaigns resemble the access communication links among the base and mobile stations for upcoming mobile networks. The measurement was conducted in the ground floor of a two-storey structure, namely, new wireless communication center WCC block P15a, which is located in Universiti Teknologi Malaysia UTM Johor, Malaysia. The building is built on external concrete walls, while all the internal walls between the rooms are constructed using glass and gypsum board with thickness around 5 cm. Moreover, it has glass and wooden doors plus clear glass internal and external windows. Also, the structure has workplace settings and laboratories with typical blocks like workspace, chairs, corridor, doors, cubicle dividers, lobbies, offices, and classrooms.TX and RX horn antennas were vertically polarized (V-V) for copolarization assessments of directional path loss models. Meanwhile, the TX antenna was vertically polarized, and the RX antenna was horizontally polarized (V-H) for the cross-polarization assessments. Furthermore, the TX horn antenna and RX omni antenna were both vertically polarized for the omnidirectional path loss model. Essentially, TX height was established at 2 m overhead the ground level, where it is assumed as an indoor hotspot on the wall. Meanwhile, the height of the RX antenna was fixed at 1.5 m (usual handset height) and the ceiling height is 2.7 m.The quantifications of power were performed through choosing 1 TX site and 33 RX sites in the building. Moreover, all RX sites are scattered among LOS and NLOS with the distances of TX-RX separation extending between 1 m and 22.7 m. It should be noted that the ground floor dimensions were approximately 21 m × 30 m. The resulting zero-point distance between the transmitter and receiver was 1 m (i.e., first point of the assessment). The 16 LOS assessment sites required 3D distances between 1 m and 14 m. Meanwhile, 17 NLOS assessment sites required 3D distances between 12 m and 22.7 m.For the assessment procedure, firstly, the TX antenna was positioned at an immovable location in the corridor of the ground floor of the building as demonstrated in Figure1. The assessment was commenced with the RX 1 m from the transmitter, where the received signal was documented along with the RX stationary at that location. Subsequently, the Rx was relocated 1 m apart from the TX. Moreover, the stationary quantifications were re-ran for all 33 RX sites. Moreover, TX and RX antennas were positioned in the azimuth and elevation planes, where PDPs were documented.Figure 1
Measurement environment at (new WCC) block P15a-UTM.


## 4. Measurement Hardware Equipments

In the vicinity of the TX side, an Anritsu MG369xC Series Synthesized Signal Generator device was utilized to produce continuous radiowave signals; the output of the radiofrequency was linked to an extremely directional horn antenna with a vertical polarization. In the vicinity of the RX side, the received power level was quantified through linking the vertically/horizontally polarized horn antenna and omni antenna to the MS2720T high-performance handheld spectrum analyzer. It was functioned at zero spans, and the channel bandwidth of the spectrum analyzer was fixed at 100 kHz. If TX and RX were both horn antennas for the entire frequencies, the transmitted powerPt of the signal was 10 dBm. Meanwhile, if the RX was an omni antenna, the transmitted power was 25 dBm. This is due to the gain of the omni antenna, which was 3 dBi. Table 1 illustrates the assessment setup factors of all quantified frequencies.Table 1
Assessment setup factors.
Carrier frequency (GHz)
4.5
28
38
Transmit power (dBm)
10, 25
TX horn antenna gain (dBi)
10.0
19.2
21.1
RX horn antenna gain (dBi)
10.0
19.2
21.1
RX omni antenna gain (dBi)
3
TX height (m)
2
RX height (m)
1.5
Polarization of TX
Vertical
Polarization of RX
Vertical/horizontal


## 5. Large-Scale Characterization

The path loss is the key factor utilized to characterize the large-scale impacts of the propagation channel as for the received signal. The path loss determines the large-scale fading behavior with reference to power attenuation as a function of distance and frequency [43, 44].


### 5.1. Single-Frequency Path Loss Models

The close-in (CI) free-space path loss model is a well-known path loss model [45]. In general, the path loss model is applied to demonstrate the impacts of the channel induced in virtue of the adjacent setting. The path loss model evaluates the power attenuation parameter, which is referred to as the fading behavior being a function of distance and frequency. The close-in (CI) free-space path loss model is denoted as follows (1) [45]:
(1)PLCIf,ddB=FSPLf,d0+10nlog10dd0+XσCI,where n represents the PLE, XσCI represents a Gaussian random variable, σ symbolizes the standard deviation in dB, and d0=1m indicates the physical reference distance [29, 46].The floating-intercept (FI) path loss model is also a type of path loss model, which is applied in WINNER II and 3GPP standards [46, 47]. FI is relied upon the FI (α) and the line slope (β) to achieve the best minimum error fit of the composed path losses. The FI is denoted as
(2)PLFIddB=α+10.βlog10d+XσFI,where α represents the floating intercept in dB, β indicates the line slope, and XσFI symbolizes the large-scale signal variabilities received against the distance in the direct path.


### 5.2. Multifrequency Path Loss Model

The alpha-beta-gamma (ABG) model is an important multifrequency path loss model. Commonly, multifrequency path loss models are needed to normalize the path loss models to cover a broad spectrum of frequencies. As such, this is determined by frequency and distance. In light of this, previous studies have demonstrated the multifrequency model plus the three parameter models [48, 49]. Hence, the equation of the ABG model is expressed as
(3)PLABGf,ddB=10αlog10dd0+β+10γlog10ff0+χσABG,where α and γ represent the path loss coefficients that characterize the distance and frequency dependency, respectively, β indicates the path loss optimized offset, f denotes the operation frequency (GHz), f0 represents a fixed reference frequency, and XσABG symbolizes the large-scale signal variabilities received against the distance in the direct path.


## 5.1. Single-Frequency Path Loss Models

The close-in (CI) free-space path loss model is a well-known path loss model [45]. In general, the path loss model is applied to demonstrate the impacts of the channel induced in virtue of the adjacent setting. The path loss model evaluates the power attenuation parameter, which is referred to as the fading behavior being a function of distance and frequency. The close-in (CI) free-space path loss model is denoted as follows (1) [45]:
(1)PLCIf,ddB=FSPLf,d0+10nlog10dd0+XσCI,where n represents the PLE, XσCI represents a Gaussian random variable, σ symbolizes the standard deviation in dB, and d0=1m indicates the physical reference distance [29, 46].The floating-intercept (FI) path loss model is also a type of path loss model, which is applied in WINNER II and 3GPP standards [46, 47]. FI is relied upon the FI (α) and the line slope (β) to achieve the best minimum error fit of the composed path losses. The FI is denoted as
(2)PLFIddB=α+10.βlog10d+XσFI,where α represents the floating intercept in dB, β indicates the line slope, and XσFI symbolizes the large-scale signal variabilities received against the distance in the direct path.


## 5.2. Multifrequency Path Loss Model

The alpha-beta-gamma (ABG) model is an important multifrequency path loss model. Commonly, multifrequency path loss models are needed to normalize the path loss models to cover a broad spectrum of frequencies. As such, this is determined by frequency and distance. In light of this, previous studies have demonstrated the multifrequency model plus the three parameter models [48, 49]. Hence, the equation of the ABG model is expressed as
(3)PLABGf,ddB=10αlog10dd0+β+10γlog10ff0+χσABG,where α and γ represent the path loss coefficients that characterize the distance and frequency dependency, respectively, β indicates the path loss optimized offset, f denotes the operation frequency (GHz), f0 represents a fixed reference frequency, and XσABG symbolizes the large-scale signal variabilities received against the distance in the direct path.


## 6. Proposed Model for 28 GHz and 38 GHz Frequency Bands

The progressing narrow-beam mmWave system can be utilized for scenarios of many angles of arrival, where receivers merge majority of the received energy. The current proposed model has simplified the system design and performance assessments. The regular single-slope path loss function was unable to capture the path loss dependence with separation distance in high-density surroundings with manifold obstructions. The proposed hybrid probabilistic path loss model can be applied as a substitute for the conventional propagation path loss models against unique TX-RX separation distances to quantify the path loss. The V-V environment is referred to as the reference for LOS scenario in both frequencies, and the V-Omni environment is referred to as the reference for the NLOS scenario in both frequencies. The path loss value is linked with distanced and divided into two components such as LOS and NLOS coefficient factors. Analogous to the CI path loss model, the proposed model assessments provide physically based and efficient estimated path loss data points for the reference distance d0=1m. Two correction coefficients are suggested for the LOS and NLOS surroundings for the mmWave bands as demonstrated in (5), (6), and (7), respectively. ILOSdi and INLOSdi in dB are anticipated to offer the good match path loss as determined by the measured data. The regular methodology for propagation models at any mmWave frequency with any antenna can be precisely examined using a standard free-space reference distance of d0=1m for all mmWave assessments and path loss models. The study proposed a generic propagation model through the probabilistic distributions for the LOS and NLOS circumstances as a function of the TX-RX separation and variation of the path loss values is suggested as
(4)PLprof,d=PLf,d0+10nlogdd0+Idi+Xσ,Idi=ILOSdi,∀d0≤d≤di+1,INLOSdi,∀di+1≤d≤ℓ,,where Idi in a (V-V) environment is
(5)ILOSdi=0,INLOSdi=∑i+1ℓPLV−Vf,di−PLV‐Omnif,di2,and Idi in a (V-H) environment is
(6)ILOSdi=∑i=1i+1PLV−Hf,di−PLV−Vf,di2,INLOSdi=∑i+1ℓPLV−Hf,di−PLV‐omnif,di2,and Idi in a (V-Omni) environment is
(7)ILOSdi=∑i=1i+1PLV‐Omnif,di−PLV−Vf,di2,INLOSdi=0,where Idi represents the generic compensation function in regards to the observed environment; ILOSdi and INLOSdi symbolize the combined measured points at identical separation distances for the LOS and NLOS scenarios, respectively; PLf,d0 indicates the path loss at d0=1m; i represents the distance index; and ℓ indicates the maximum separation distance.


## 7. Measurement Results and Discussion

### 7.1. Single-Frequency Path Loss Models

Figures2, 3, and 4 show the directional and omnidirectional path loss for the CI model at 4.5, 28, and 38 GHz in the LOS and NLOS environments for (V-V), (V-H), and (V-Omni) antenna polarization, respectively. For V-V antenna polarization, the PLE values in the LOS case study were 0.7, 0.92, and 2.29 at 4.5, 28, and 38 GHz, respectively. And for V-H antenna polarization, the PLE values in the LOS case study also were 1.13, 3.87, and 4.81 at 4.5, 28, and 38 GHz, respectively. As seen in V-V antenna polarization, the LOS PLE is 0.7 at 4.5 GHz and 0.92 at 28 GHz, both less than the theoretical free-space PLE of 2 and virtually identical at both frequencies, indicating that the indoor mmWave propagation channel experiences constructive interference from ground and ceiling bounce reflections and a waveguide effect down hallways and corridors that has a LOS directional PLE that is not frequency-dependent. For V-H antenna polarization, the LOS PLE in all frequencies is much greater than the LOS PLE in V-V antenna polarization, shown in Table 2. For NLOS environments, the 28 GHz PLE is 3.21 and 4.65 for V-V and V-H antenna polarization, respectively. And for 38 GHz, PLE is 4.38 and 5.28 for V-V and V-H antenna polarization, respectively. This indicates a significant depolarization effect in LOS and NLOS indoor environments at these frequencies. Table 2 shows the CI path loss model parameters for LOS and NLOS, at 4.5 GHz, 28 GHz, and 38 GHz.Figure 2
Directional V-V CI path loss model for LOS and NLOS (a) 4.5 GHz, (b) 28 GHz, and (c) 38 GHz.
(a)
(b)
(c)Figure 3
Directional V-H CI path loss model for LOS and NLOS (a) 4.5 GHz, (b) 28 GHz, and (c) 38 GHz.
(a)
(b)
(c)Figure 4
CI path loss model for omnidirectional V-Omni for LOS and NLOS (a) 4.5 GHz, (b) 28 GHz, and (c) 38 GHz.
(a)
(b)
(c)Table 2
CI path loss model parameters for LOS and NLOS, at 4.5 GHz, 28 GHz, and 38 GHz.
Frequency
Polarization
LOS
NLOS
PLE (n)
σ (dB)
PLE (n)
σ (dB)
4.5 GHz
V-V
0.70
3.14
2.26
4.56
V-H
1.13
2.63
1.97
6.00
V-Omni
2.31
6.64
3.69
2.89
28 GHz
V-V
0.92
2.18
3.21
4.48
V-H
3.87
7.83
4.65
3.57
V-Omni
2.49
4.38
3.85
4.85
38 GHz
V-V
2.29
5.60
4.38
4.14
V-H
4.81
12.67
5.28
4.09
V-Omni
3.25
5.72
4.54
2.62The 38 GHz frequency band in LOS showed about 14 dB of attenuation per decade of distance values compared with the 28 GHz band, thereby proving that the sensitivity of the beam in future mmWave wireless systems, which measure TX-RX separation distances, was increased. The attenuation of NLOS (obstructed links) was approximately 15–23 dB greater than that of the unobstructed LOS links in all measured frequencies. The shadow factors of the mean path loss line for LOS V-V configuration were 3.14, 2.18, and 5.60 dB for the 4.5, 28, and 38 GHz bands, respectively. The 28 GHz and 38 GHz in V-H configuration LOS show a much larger shadow fading standard deviation that is approximately 8 dB and 13 dB for 28 GHz and 38 GHz compared with V-V configuration, indicating much larger fluctuations in received signal strength over all TX-RX separation distances. The standard deviations in V-V and V-Omni configurations for the LOS and NLOS measurements ranged from 2.2 dB to 6.6 dB among the studied frequencies, implying fewer fluctuations in the strongly received signal than in the average power received signal in all the TX-RX separation distances.The FI path loss model results for the 4.5, 28, and 38 GHz frequency bands in LOS and NLOS environments are illustrated in Figures5, 6, and 7 for (V-V), (V-H), and (V-Omni) antenna polarization, respectively. In LOS V-V, α values can vary compared with the free-space path losses, at 4.5 GHz it was 41.4 dB compared to the 45.5 dB theoretical FSPL at 1 m, at 28 GHz it was 60.1 dB compared to the 61.4 dB theoretical FSPL at 1 m, and it was 82.5 dB compared to the 64.0 dB theoretical FSPL at 1 m at the 38 GHz band. In LOS V-Omni, α values can vary compared with the free-space path losses, at 4.5 GHz it was 71.09 dB compared to the 45.5 dB theoretical FSPL at 1 m, at 28 GHz it was 68.23 dB compared to the 61.4 dB theoretical FSPL at 1 m, and it was 83.79 dB compared to the 64.0 dB theoretical FSPL at 1 m at the 38 GHz band. Table 3 shows the parameters for the FI path loss model.Figure 5
Directional V-V FI path loss model for LOS and NLOS (a) 4.5 GHz, (b) 28 GHz, and (c) 38 GHz.
(a)
(b)
(c)Figure 6
Directional V-H FI path loss model for LOS and NLOS (a) 28 GHz and (b) 38 GHz.
(a)
(b)Figure 7
FI path loss model for omnidirectional V-Omni for LOS and NLOS (a) 4.5 GHz, (b) 28 GHz, and (c) 38 GHz.
(a)
(b)
(c)Table 3
FI path loss model parameters for LOS and NLOS, at 4.5 GHz, 28 GHz, and 38 GHz.
Frequency
Polarization
LOS
NLOS
α (dB)
β
σ (dB)
α (dB)
β
σ (dB)
4.5 GHz
V-V
41.45
1.32
1.79
16.22
4.85
3.91
V-Omni
71.09
0.88
1.79
40.48
4.55
2.84
28 GHz
V-V
60.10
1.06
2.15
50.31
4.13
4.39
V-H
87.77
1.07
3.23
43.63
6.12
3.31
V-Omni
68.23
1.77
3.97
37.45
5.83
4.50
38 GHz
V-V
82.53
0.33
2.57
87.91
2.40
3.73
V-H
109.09
0.01
3.48
103.76
1.99
2.81
V-Omni
83.79
1.15
2.04
71.06
3.96
2.57The NLOS environment floating-intercept values were not frequency-dependent and varied from 16.2 dB to 87.9 dB. The slope values (β) of the mean least-square fit line were close to the free space (β=2) in the NLOS environment for the 38 GHz band with co- and cross-polarized antennas, which does not necessarily imply that the NLOS signals afford much attenuation with distance than the free-space signals. The very low LOS β slope values of 0.33 at 38 GHz V-V and 0.01 for V-H antenna polarization show the extreme sensitivity of the FI model and how the model parameters defy physical interpretation (where PLE values of 0.33 and 0.01 indicate little increase in path loss as distance increases, which is unrealistic).


### 7.2. Multifrequency Path Loss Model

The ABG model is illustrated in Figures8 and 9. It demonstrates the PL model for different frequencies, and it comprises distance- and frequency-dependent factors. Table 4 shows all ABG multifrequency model parameters.Figure 8
ABG model for directional V-V for LOS and NLOS at 4.5, 28, and 38 GHz.Figure 9
ABG model for omnidirectional V-Omni for LOS and NLOS at 4.5, 28, and 38 GHz.Table 4
ABG model parameters for LOS and NLOS at 4.5, 28, and 38 GHz.
4.5, 28, and 38 GHz directional ABG model parameters
Env.
Polarization
α
β
γ
σ (dB)
LOS
V-V
0.43
1.56
4.83
0.24
V-Omni
0.90
35.77
3.02
0.19
NLOS
V-V
3.79
−24.82
5.81
0.25
V-Omni
4.81
−3.67
3.91
0.18The distance dependence termα for the NLOS case study is higher by 33 and 39 dB/decades than that for the LOS case study for V-V and V-Omni, respectively, because of the absence of the direct path in the NLOS case study. The standard deviations of the ABG model for LOS and NLOS have a 0.01 difference in both polarizations. The frequency slopes (γ) are 4.83 and 5.81 for LOS and NLOS in the V-V case study, and the frequency slopes (γ) are 3.02 and 3.91 for LOS and NLOS in V-Omni case study, respectively.


## 7.1. Single-Frequency Path Loss Models

Figures2, 3, and 4 show the directional and omnidirectional path loss for the CI model at 4.5, 28, and 38 GHz in the LOS and NLOS environments for (V-V), (V-H), and (V-Omni) antenna polarization, respectively. For V-V antenna polarization, the PLE values in the LOS case study were 0.7, 0.92, and 2.29 at 4.5, 28, and 38 GHz, respectively. And for V-H antenna polarization, the PLE values in the LOS case study also were 1.13, 3.87, and 4.81 at 4.5, 28, and 38 GHz, respectively. As seen in V-V antenna polarization, the LOS PLE is 0.7 at 4.5 GHz and 0.92 at 28 GHz, both less than the theoretical free-space PLE of 2 and virtually identical at both frequencies, indicating that the indoor mmWave propagation channel experiences constructive interference from ground and ceiling bounce reflections and a waveguide effect down hallways and corridors that has a LOS directional PLE that is not frequency-dependent. For V-H antenna polarization, the LOS PLE in all frequencies is much greater than the LOS PLE in V-V antenna polarization, shown in Table 2. For NLOS environments, the 28 GHz PLE is 3.21 and 4.65 for V-V and V-H antenna polarization, respectively. And for 38 GHz, PLE is 4.38 and 5.28 for V-V and V-H antenna polarization, respectively. This indicates a significant depolarization effect in LOS and NLOS indoor environments at these frequencies. Table 2 shows the CI path loss model parameters for LOS and NLOS, at 4.5 GHz, 28 GHz, and 38 GHz.Figure 2
Directional V-V CI path loss model for LOS and NLOS (a) 4.5 GHz, (b) 28 GHz, and (c) 38 GHz.
(a)
(b)
(c)Figure 3
Directional V-H CI path loss model for LOS and NLOS (a) 4.5 GHz, (b) 28 GHz, and (c) 38 GHz.
(a)
(b)
(c)Figure 4
CI path loss model for omnidirectional V-Omni for LOS and NLOS (a) 4.5 GHz, (b) 28 GHz, and (c) 38 GHz.
(a)
(b)
(c)Table 2
CI path loss model parameters for LOS and NLOS, at 4.5 GHz, 28 GHz, and 38 GHz.
Frequency
Polarization
LOS
NLOS
PLE (n)
σ (dB)
PLE (n)
σ (dB)
4.5 GHz
V-V
0.70
3.14
2.26
4.56
V-H
1.13
2.63
1.97
6.00
V-Omni
2.31
6.64
3.69
2.89
28 GHz
V-V
0.92
2.18
3.21
4.48
V-H
3.87
7.83
4.65
3.57
V-Omni
2.49
4.38
3.85
4.85
38 GHz
V-V
2.29
5.60
4.38
4.14
V-H
4.81
12.67
5.28
4.09
V-Omni
3.25
5.72
4.54
2.62The 38 GHz frequency band in LOS showed about 14 dB of attenuation per decade of distance values compared with the 28 GHz band, thereby proving that the sensitivity of the beam in future mmWave wireless systems, which measure TX-RX separation distances, was increased. The attenuation of NLOS (obstructed links) was approximately 15–23 dB greater than that of the unobstructed LOS links in all measured frequencies. The shadow factors of the mean path loss line for LOS V-V configuration were 3.14, 2.18, and 5.60 dB for the 4.5, 28, and 38 GHz bands, respectively. The 28 GHz and 38 GHz in V-H configuration LOS show a much larger shadow fading standard deviation that is approximately 8 dB and 13 dB for 28 GHz and 38 GHz compared with V-V configuration, indicating much larger fluctuations in received signal strength over all TX-RX separation distances. The standard deviations in V-V and V-Omni configurations for the LOS and NLOS measurements ranged from 2.2 dB to 6.6 dB among the studied frequencies, implying fewer fluctuations in the strongly received signal than in the average power received signal in all the TX-RX separation distances.The FI path loss model results for the 4.5, 28, and 38 GHz frequency bands in LOS and NLOS environments are illustrated in Figures5, 6, and 7 for (V-V), (V-H), and (V-Omni) antenna polarization, respectively. In LOS V-V, α values can vary compared with the free-space path losses, at 4.5 GHz it was 41.4 dB compared to the 45.5 dB theoretical FSPL at 1 m, at 28 GHz it was 60.1 dB compared to the 61.4 dB theoretical FSPL at 1 m, and it was 82.5 dB compared to the 64.0 dB theoretical FSPL at 1 m at the 38 GHz band. In LOS V-Omni, α values can vary compared with the free-space path losses, at 4.5 GHz it was 71.09 dB compared to the 45.5 dB theoretical FSPL at 1 m, at 28 GHz it was 68.23 dB compared to the 61.4 dB theoretical FSPL at 1 m, and it was 83.79 dB compared to the 64.0 dB theoretical FSPL at 1 m at the 38 GHz band. Table 3 shows the parameters for the FI path loss model.Figure 5
Directional V-V FI path loss model for LOS and NLOS (a) 4.5 GHz, (b) 28 GHz, and (c) 38 GHz.
(a)
(b)
(c)Figure 6
Directional V-H FI path loss model for LOS and NLOS (a) 28 GHz and (b) 38 GHz.
(a)
(b)Figure 7
FI path loss model for omnidirectional V-Omni for LOS and NLOS (a) 4.5 GHz, (b) 28 GHz, and (c) 38 GHz.
(a)
(b)
(c)Table 3
FI path loss model parameters for LOS and NLOS, at 4.5 GHz, 28 GHz, and 38 GHz.
Frequency
Polarization
LOS
NLOS
α (dB)
β
σ (dB)
α (dB)
β
σ (dB)
4.5 GHz
V-V
41.45
1.32
1.79
16.22
4.85
3.91
V-Omni
71.09
0.88
1.79
40.48
4.55
2.84
28 GHz
V-V
60.10
1.06
2.15
50.31
4.13
4.39
V-H
87.77
1.07
3.23
43.63
6.12
3.31
V-Omni
68.23
1.77
3.97
37.45
5.83
4.50
38 GHz
V-V
82.53
0.33
2.57
87.91
2.40
3.73
V-H
109.09
0.01
3.48
103.76
1.99
2.81
V-Omni
83.79
1.15
2.04
71.06
3.96
2.57The NLOS environment floating-intercept values were not frequency-dependent and varied from 16.2 dB to 87.9 dB. The slope values (β) of the mean least-square fit line were close to the free space (β=2) in the NLOS environment for the 38 GHz band with co- and cross-polarized antennas, which does not necessarily imply that the NLOS signals afford much attenuation with distance than the free-space signals. The very low LOS β slope values of 0.33 at 38 GHz V-V and 0.01 for V-H antenna polarization show the extreme sensitivity of the FI model and how the model parameters defy physical interpretation (where PLE values of 0.33 and 0.01 indicate little increase in path loss as distance increases, which is unrealistic).


## 7.2. Multifrequency Path Loss Model

The ABG model is illustrated in Figures8 and 9. It demonstrates the PL model for different frequencies, and it comprises distance- and frequency-dependent factors. Table 4 shows all ABG multifrequency model parameters.Figure 8
ABG model for directional V-V for LOS and NLOS at 4.5, 28, and 38 GHz.Figure 9
ABG model for omnidirectional V-Omni for LOS and NLOS at 4.5, 28, and 38 GHz.Table 4
ABG model parameters for LOS and NLOS at 4.5, 28, and 38 GHz.
4.5, 28, and 38 GHz directional ABG model parameters
Env.
Polarization
α
β
γ
σ (dB)
LOS
V-V
0.43
1.56
4.83
0.24
V-Omni
0.90
35.77
3.02
0.19
NLOS
V-V
3.79
−24.82
5.81
0.25
V-Omni
4.81
−3.67
3.91
0.18The distance dependence termα for the NLOS case study is higher by 33 and 39 dB/decades than that for the LOS case study for V-V and V-Omni, respectively, because of the absence of the direct path in the NLOS case study. The standard deviations of the ABG model for LOS and NLOS have a 0.01 difference in both polarizations. The frequency slopes (γ) are 4.83 and 5.81 for LOS and NLOS in the V-V case study, and the frequency slopes (γ) are 3.02 and 3.91 for LOS and NLOS in V-Omni case study, respectively.


## 8. Proposed Model Analysis

The proposed model for the 28 GHz band in Figure10 fits the measured data for the LOS and NLOS scenarios for V-V, V-H, and V-Omni antenna polarization, respectively. It only requires one parameter to be estimated, which is the correction factor for any environment. For the 38 GHz band, the large-scale path loss values are shown in Figure 11. The measurement data shows a slight difference between the path losses between different antenna polarizations in NLOS for both frequency bands as shown in Table 5. The proposed model shows the same phenomena in the LOS scenario, where the path losses are extremely close to each other for both frequency bands. Hence, the proposed model is accurate and simple for the 28 GHz and 38 GHz bands. The proposed model PLEs in LOS 28 GHz are 0.92, 0.90, and 1.07 for V-V, V-H, and V-Omni antenna polarizations, respectively, and all values are less than theoretical FSPL 2 and less than PLEs compared with the CI path loss model, which have PLE 3.87 and 2.49 for V-H and V-Omni antenna polarizations, respectively.Figure 10
Proposed model for 28 GHz for LOS and NLOS (a) V-V, (b) V-H, and (c) V-Omni antenna polarization.
(a)
(b)
(c)Figure 11
Proposed model for 38 GHz for LOS and NLOS (a) V-V, (b) V-H, and (c) V-Omni antenna polarization.
(a)
(b)
(c)Table 5
Proposed model parameters for LOS and NLOS, at 28 GHz and 38 GHz.
Frequency
Polarization
LOS
NLOS
nPro
σPro (dB)
nPro
σPro (dB)
28 GHz
V-V
0.92
2.18
2.58
4.62
V-H
0.90
3.25
2.33
4.76
V-Omni
1.07
4.35
3.85
4.85
38 GHz
V-V
2.30
5.62
4.23
4.08
V-H
2.24
6.64
4.53
3.69
V-Omni
2.40
3.78
4.55
2.58As a comparison between the CI path loss model and the proposed model, in LOS 28 GHz, the PLE values for the proposed model are 0.92, 0.90, and 1.07 for V-V, V-H, and V-Omni antenna polarizations, respectively, compared to PLEs of 0.92, 3.87, and 2.49 for the CI path loss model for the same antenna polarizations. In LOS 38 GHz, the PLE values for the proposed model are 2.30, 2.24, and 2.40 for V-V, V-H, and V-Omni antenna polarizations, respectively, compared to PLEs 2.29, 4.81, and 3.25 for the CI path loss model for the same antenna polarizations.In NLOS 28 GHz, the PLE values for the proposed model are 2.58, 2.33, and 3.85 for V-V, V-H, and V-Omni antenna polarizations, respectively, compared to PLEs 3.21, 4.65, and 3.85 for the CI path loss model for the same antenna polarizations. In NLOS 38 GHz, the PLE values for the proposed model are 4.23, 4.53, and 4.55 for V-V, V-H, and V-Omni antenna polarizations, respectively, compared to PLEs 4.38, 5.28, and 4.54 for the CI path loss model for the same antenna polarizations.Also, most of the standard deviationσ values for both frequencies in the proposed model show less values compared with standard deviation values for the CI path loss model. So, the proposed model shows better results in path loss prediction for PLE (n) and standard deviation σ values for 28 GHz and 38 GHz in LOS and NLOS scenarios compared with the CI path loss model. Table 6 shows the comparison results between proposed and CI model parameters at the 28 GHz and 38 GHz frequency bands.Table 6
Comparison between proposed and CI model’s parameters for LOS and NLOS at 28 GHz and 38 GHz.
Model
Frequency
Polarization
LOS
NLOS
PLE (n)
σ (dB)
PLE (n)
σ (dB)
Proposed
28 GHz
V-V
0.92
2.18
2.58
4.62
V-H
0.90
3.25
2.33
4.76
V-Omni
1.07
4.35
3.85
4.85
38 GHz
V-V
2.30
5.62
4.23
4.08
V-H
2.24
6.64
4.53
3.69
V-Omni
2.40
3.78
4.55
2.58
CI
28 GHz
V-V
0.92
2.18
3.21
4.48
V-H
3.87
7.83
4.65
3.57
V-Omni
2.49
4.38
3.85
4.85
38 GHz
V-V
2.29
5.60
4.38
4.14
V-H
4.81
12.67
5.28
4.09
V-Omni
3.25
5.72
4.54
2.62


## 9. Conclusion

The large-scale path loss model for the indoor environment is presented in this paper for 4.5, 28, and 38 GHz bands. This measurement campaign was used to determine the effects of path loss when 5G signals are transmitted over these frequency bands. For the single-frequency path loss model, the CI model is more efficient in terms of measuring data than the 3GPP models. The FI model results in highlighting the lack of sensitivity of the FI model in terms of reconciling the physical effects of environmental loss with distance. Therefore, the results indicate that the FI model does not physically represent the channel of the LOS or NLOS environment. The multifrequency ABG path loss model showed all frequency slope values (γ) in LOS and NLOS that represent an unrealistic amount of attenuation with increasing frequency. Also, the small difference in standard deviation suggests that the simpler, physical-based CI model could be more suitable for closed-form analysis compared with FI and ABG models. Also, the proposed model with a correction factor based on actual field power measurement campaigns was developed for both LOS and NLOS indoor environments. Moreover, the proposed model when evaluated and compared with the CI, FI, and ABG models had demonstrated an average improvement from the other stated models, respectively; also, it proves that an acceptable communication link can be established on 28 and 38 GHz bands for indoor environments. Moreover, it can provide a sound estimation of the mmWave path loss as a function of distance and other environmental and system-specific parameters.



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*Source: 9142367-2018-09-20.xml*