## Penetration Loss of Walls and Data Rate of IEEE802.16m WiMAX including Adaptive Modulation and Coding (AMC)

**Hala B. Nafea**^{1,}, **Fayez W. Zaki**^{1}, **Hossam E. S. Moustafa**^{1}

^{1}Department of Electronics and Communications Eng. Faculty of Engineering, Mansoura University, Egypt

### Abstract

The study reported here includes propagation analysis and coverage as well as the available downlink (DL) throughput of OFDMA-based IEEE802.16m WiMAX system as a function of distance to the Base Station (BS) for a number of outdoor and indoor propagation scenarios. Moreover, Walls penetration loss is also considered. Adaptive modulation and Coding (AMC) schemes will be assumed in the present study for 5 MHz and 20 MHz channel bandwidth.

### At a glance: Figures

**Keywords:** WiMAX, propagation analysis, walls penetration loss, broadband wireless, adaptive modulation

*Wireless and Mobile Technologies*, 2013 1 (1),
pp 29-36.

DOI: 10.12691/wmt-1-1-6

Received October 12, 2013; Revised November 28, 2013; Accepted December 16, 2013

**Copyright**© 2013 Science and Education Publishing. All Rights Reserved.

### Cite this article:

- Nafea, Hala B., Fayez W. Zaki, and Hossam E. S. Moustafa. "Penetration Loss of Walls and Data Rate of IEEE802.16m WiMAX including Adaptive Modulation and Coding (AMC)."
*Wireless and Mobile Technologies*1.1 (2013): 29-36.

- Nafea, H. B. , Zaki, F. W. , & Moustafa, H. E. S. (2013). Penetration Loss of Walls and Data Rate of IEEE802.16m WiMAX including Adaptive Modulation and Coding (AMC).
*Wireless and Mobile Technologies*,*1*(1), 29-36.

- Nafea, Hala B., Fayez W. Zaki, and Hossam E. S. Moustafa. "Penetration Loss of Walls and Data Rate of IEEE802.16m WiMAX including Adaptive Modulation and Coding (AMC)."
*Wireless and Mobile Technologies*1, no. 1 (2013): 29-36.

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### 1. Introduction

One of the newest technologies, that satisfy the ongoing demand for faster data rates with longer transmission ranges and that are thus suitable for new applications is mobile WiMAX. Mobile WiMAX will compete with cellular, Wi-Fi, and last-mile Internet access technologies such as DSL and cable.

The next generation of mobile WiMAX is IEEE 802.16m amends the IEEE 802.16e, j specification to provide an advanced air interface for operation in licensed bands. It is a recommended candidate for 4G. Unlike other wireless standards, WiMAX allows data transport over multiple broad frequency ranges. This lets the technology avoid frequencies that would interfere with other wireless applications.

Pushed by the increasing market demand for wireless wideband services, strong industry support and a competitive edge over deployed 3.5G systems Orthogonal Frequency Division Multiple Access (OFDMA) based Mobile WiMAX is on the verge of becoming a reality all over the globe ^{[1]}.

In wireless communication systems, random fluctuations prevent the continuous use of highly bandwidth-efficient modulation schemes, and therefore Adaptive Modulation and Coding (AMC) has become a standard approach in recently developed wireless standards, including WiMAX. The idea behind AMC is to dynamically adapt the modulation and coding scheme to the channel conditions so as to achieve the highest spectral efficiency at all times. Adaptive modulation changes the coding scheme and/or modulation method depending on channel-state information (choosing it in such a way that it squeezes the most out of what the channel can transmit) ^{[3]}.

The aim of the study is to determine the Path loss (PL) inside residences using locally available materials found in INDOOR 1, INDOOR 2 and INDOOR 3 propagation scenarios. The PL used to determine the coverage of the base station and mobile station’s cell-range. Results of the study can help in system planning by making it possible to adjust the appropriate transmitter parameters. Moreover, a preliminary analysis of the data rate as a function of the distance to the BS is developed, considering different propagation environments and 3.5 GHz carrier frequency.

This paper is organized as follows. Section 2 presents frequency bands, OFDMA parameters frame and subchannel structure, modulation and coding modes, and propagation environments. Section 3 represents mathematical analysis and computer simulation using Matlab is considered. Finally, section 4 presents conclusions and future work.

### 2. System Parameters

**2.1. Frequency Bands**

Considering the 3.3-3.8 GHz spectrum, the WiMAX Forum™ Mobile System Profile ^{[2]} specifies the channel bandwidth combinations, Fast Fourier Transform (FFT) sizes and duplexing modes as shown in Table 1, for the possible frequency range configurations.

**2.2. OFDMA Parameters**

OFDMA is a multiple access technique which divides the total Fast Fourier Transform (FFT) space into a number of sub-channels (set of sub-carriers that are assigned for data exchange) whereas the time resource is divided into time slots (i.e. in WiMAX OFDMA PHY ^{[3]}, the minimum frequency time unit of sub-channel is one slot, which is equivalent to 48 sub-carriers) and a frame is constructed from number of slots. Define the size of FFT as NFFT which denotes the total number of sub-carriers of all types (pilots, guard and data). Let Ndata denote the total number of data sub-carriers after reserving the pilot and guard sub-carriers. Ndata is divided into L groups, each with K = Ndata /L data sub-carriers.

For the possible channel bandwidth, Table 2 summarizes the standard IEEE 802.16 OFDMA parameters.

In the present study frame duration of 5 ms has been assumed, since, at least initially all WiMAX equipments will only support this duration.

**2.3. Frame and Subchannel Structure**

The 802.16e PHY ^{[3]} supports TDD, FDD; however the initial release of Mobile WiMAX certification profiles is includes only TDD. With ongoing releases, FDD profiles is considered by the WiMAX Forum to address specific market opportunities where local spectrum regulatory requirements either prohibit TDD or are more suitable for FDD deployments. To counter interference issues, TDD does require system-wide synchronization; nevertheless.

One should note that the first system profiles released by the WiMAX Forum only contemplate time division duplexing (TDD) modes, due to a number of advantages over frequency division duplexing (FDD). TDD is the preferred duplexing mode for the following reasons:

• TDD enables adjustment of the DL/ UL ratio to efficiently support asymmetric downlink/uplink traffic, while with FDD, downlink and uplink always have fixed (and most times equal) and generally, equal DL and UL bandwidths.

• TDD assures channel reciprocity because the DL and UL frames are sent in the same band, for better support of link adaptation, MIMO, and other closed loop advanced antenna technologies (AAS).

• Unlike FDD, which requires a pair of channels, TDD only requires a single channel for both downlink and uplink providing greater flexibility for adaptation to varied global spectrum allocations.

• Transceivers design for TDD implementations are less complex and therefore less expensive.

Figure 1 illustrates the OFDM frame structure for a Time Division Duplex (TDD) implementation. Each frame is divided into DL and UL sub-frames separated by Transmit/Receive and Receive/Transmit Transition Gaps (TTG and RTG, respectively) to prevent DL and UL transmission collisions. In a frame, the following control information is used to ensure optimal system operation:

1). **Preamble: **The preamble, used for synchronization, is the first OFDM symbol of the frame.

2). **Frame Control Head (FCH): **The FCH follows the preamble. It provides the frame configuration information such as MAP message length, coding scheme and usable sub-channels.

3). **DL-MAP and UL-MAP: **The DL-MAP and UL-MAP provide sub-channel allocation and other control information for the DL and UL sub-frames respectively.

4). **UL Ranging: **The UL ranging sub-channel is allocated for mobile stations (MS) to perform closed-loop time, frequency, and power adjustment as well as bandwidth Requests.

5). **UL CQICH: **The UL CQICH channel is allocated for the MS to feedback channel state information.

6). **UL ACK: **The UL ACK is allocated for the MS to feedback DL HARQ acknowledgement.

The overheads in Figure 1 have variable size depending on the type of traffic carried. In this analysis Full Buffer FTP traffic will be assumed, and a corresponding typical distribution of OFDMA symbols in the frame is shown in Table 3.

This option is somehow conservative, since most applications have a traffic which is bursty in nature and can operate efficiently with less overhead.

**Figure 1**

**.**WiMAX OFDMA TDD Frame. (Extracted from [4])

Moreover, as previously referred, TDD allows for flexible DL/UL ratios to cope with different traffic profiles. In this study a 3:1 DL: UL ratio will be analyzed, the respective data symbols distribution is also shown in Table 3.

IEEE 802.16 also allows different subcarrier permutations schemes, although the initial WiMAX system profile ^{[5]} only includes for the DL, Downlink Partial Usage of Subcarriers (DL PUSC) and Band Adaptive Modulation and Coding (Band AMC), with only the first being mandatory. Therefore, DL PUSC is considered as the subchannel permutation scheme.

**2.4. Modulation and Coding Modes (Burst Profile)**

Adaptive modulation and coding (AMC), Hybrid Automatic Repeat Request (HARQ) and Fast Channel Feedback (CQICH) were introduced with Mobile WiMAX to enhance coverage and capacity for WiMAX in mobile applications.

Support for QPSK, 16QAM and 64QAM are mandatory in the DL with Mobile WiMAX. In the UL, 64QAM is optional. Both Convolutional Code (CC) and Convolutional Turbo Code (CTC) with variable code rate and repetition coding are supported. Block Turbo Code and Low Density Parity Check Code (LDPC) are supported as optional features.

Table 4, summarizes the coding and modulation schemes supported in the Mobile WiMAX profile.

From several burst profiles allowed by IEEE 802.16, the six listed in Table 5, along with the minimum required SNR, have been considered.

**2.5. Propagation Environments**

**2.5.1. Propagation Model**

Propagation models are used to estimate the Path loss (PL) value in wireless communications and to predict the level of SNR at the receiver. The PL value is used to determine the coverage of the base station and mobile station’s cell-range.

The propagation model COST 231 Hata ^{[6]} has been adopted. Although this model is based on empirical data obtained at 2 GHz, ^{[7]} it is also valid model at 3.5 GHz.

**2.5.2. Penetration Loss**

Penetration will be modeled as an excess loss introduced by the penetrated walls, using the model suggested in ^{[8]}

(1) |

(2) |

Where L_{wi} is the average excess attenuation per wall and k is the number of penetrated walls. Table 6a shows the penetration loss (L_{wi}) as a function of frequency for thin board dividing between rooms and thick walls made of reinforced concrete.

Three indoor scenarios have then been considered. These are listed in Table 6b along with the respective attenuations calculated by equations (1) and (2) for a 3.5 GHz frequency. The chosen Indoor scenarios try to represent possible limiting situations on propagation. The analysis was limited to two walls, since when the number of walls increases, other propagation mechanisms become dominant.

**2.5.3. Fading**

The diverse fading components due to the propagation environment will be taken into account in the form of propagation margins.

Table 8, illustrates the adopted margins and the total margin for the different considered scenarios. WiMAX Forum™ reference studies have provided the guideline for this parameterization ^{[10]}.

The value of 5.56 dB for the shadow fade margin is based on a log-normal shadowing standard deviation of 8 dB assuring a 75% coverage probability at the cell edge and 90% coverage probability over the entire area. The interference margin assumes a cellular reuse pattern of 1 with 3 sectors per site.

**2.5.4. Station Parameters**

Tables 8 presents the parameters used for the link budget calculations for the BS and SS, again based on WiMAX Forum™ analysis ^{[10]}.

### 3. Mathematical Analysis and Computer Simulation

In order for the system to work correctly, the data rate in WiMAX can be calculated as:

(3) |

Where: R is the data rate in a WiMAX OFDM physical layer*, b*_{m}* *is the number of bits per modulation symbol and is 1 for BPSK, 2 for QPSK, 4 for 16-QAM and in general if M is the modulation level in a M-QAM constellation, .The *c*_{r}* *is the coding rate that can be found in ^{[10, 11]} for each different burst profile. The symbol duration *T*_{S}, T_{b }is the useful symbol time, T_{g }is the guard time_{ }according to Figure 2, expressed as:

(4) |

**Fig**

**ure**

**2**

**.**OFDM Symbol Structure with Cyclic Prefix

Where G is the ratio *Tg/Tb*, this value can be: 1/4, 1/8, 1/16 or 1/32. And *Tb = 1/∆f*, with the sub-carrier spacing *∆f *given as

(5) |

(6) |

Where *F*_{S}* *is the sampling frequency, *n *is the sampling factor, *BW *is the nominal channel bandwidth. The sampling factor in conjunction with *BW* value has changed from OFDMA 802.16-2004 Standard and is set to 8/7 as follows: for channel bandwidths that are a multiple of 1.75 MHz then *n *= 8/7 else for channel bandwidths that are a multiple of any of 1.25, 1.5, 2 or 2.75 MHz then *n *= 28/25 else for channel bandwidths not otherwise specified then *n *= 8/7.

Sensitivity or minimum received power S_{R} (receiver sensitivity) is different for each modulation and is expressed as ^{[12]}:

(7a) |

Equation (7a) may be re-expressed as ^{[11]}:

(7b) |

Where: N_{FFT} is the number of points for FFT or total number of subcarriers. N_{data} is number of used data subcarries, and N_{subchannels} is the number of subchannels. N_{used} (the active subcarriers = total subcarriers – null subcariers). ImpLoss is the implementation loss, which includes non-ideal receiver effects such as channel estimation errors, tracking errors, quantization errors, and phase noise. The assumed value is 7 dB. NF is the receiver noise figure, referenced to the antenna port. The assumed value is 8 dB, and R is the data rate in a WiMAX OFDM physical layer ^{[13]}.

Table 9, Table 10 present the different values of SR and Channel Capacity Cmodulation [Mbps] for each modulation at 5 MHZ and 20 MHZ bandwidth using SNR required for considered burst profiles. (CTC– Convolutional Turbo Codes).

The received power may be calculated using link budget equations given as:

(8) |

Where: P_{R} is the received power, P_{T} is the transmitted power, G_{T} is the transmit antenna gain, G_{R} is the receiver antenna gain, L_{S} is the system loss and P_{L} is the path loss.

(9) |

**A-**** Cost-231 Hata Model**

In this model, five parameters are used for propagation loss estimation. These are frequency f MHz, distance from base station to mobile station d (Km), base station height hb (m), the height of the mobile hm (m), and standard deviation constant Cm (dB). The path loss in Hata model is expressed as:

(10) |

Where the parameters Cm and ahm are used to specify the environmental characteristics as given below:

*Urban:

(11) |

*Suburban/Rural:

(12) |

Using the above equations, the relationship between the distance d and the propagation loss may be formulated as:

(13) |

Where the PATHLOSS is calculated using Equation (9).

In the work reported here, the variation of DL data rate, the Power received as a function of the distance to the BS, and the pathloss for each propagation scenarios with respect to the previously obtained information is calculated. Figure 3 illustrates a flow chart for this methodology.

**Figure 3**

**.**

**Pathloss and Power received for each propagation scenarios Calculation Algorithm**

The simulation parameters are shown in Table 6, Table 7, Table 8. Four propagation scenarios (OUTDOOR; INDOOR 1, INDOOR 2 and INDOOR 3) are considered.

The SNR (Rx) [dB] and useful channel capacity (C modulation) for each modulation at 5 MHZ and 20 MHZ bandwidth are shown in Table 9, Table 10 are considered too.

The variation of the DL data rate as a function of the distance to the BS has been computed for the 5 MHz and 20 MHz bandwidth and are shown in Figure 4 and Figure 5.

The maximum distance to BS for each modulation scheme in the four propagation scenarios (OUTDOOR; INDOOR 1, INDOOR 2 and INDOOR 3), for both urban and suburban at frequency band 3.5GHZ, are shown in Table 11-Table 14.

**Figu**

**re 4a**

**.**Data Rate with distance to the BS for COST 231-Hata Urban at (5MHZ)

**Figure 4b**

**.**Data Rate with distance to the BS for COST 231-Hata SubUrban at (5MHZ)

**Figure 5a**

**.**

**Data Rate with distance to the BS for COST 231-Hata Urban at (20MHZ)**

**Figur**

**e 5b**

**.**Data Rate with distance to the BS for COST 231-Hata Suburban at (20MHZ)

The results from the above Figure 4 and Figure 5 showed that the maximum distance to base station in the suburban case is increased by 22%, 22.3%, 22.5%, and 18.5% for INDOOR1, INDOOR2, INDOOR3, and OUTDOOR respectively as compared to the urban case.

Comparing OUTDOOR, INDOOR1, INDOOR 2 and INDOOR 3 scenarios, it is observed that the maximum distance to base station in INDOOR 2 increased by 34.4 % more than INDOOR 3, where in INDOOR1 this distance increase by 11.3% comparing INDOOR2, where without any Penetration Loss in OUTDOOR scenario this distance increase by 69% comparing INDOOR1.

The results from the above Table 11- Table 14 comparing OUTDOOR, INDOOR1, INDOOR 2 and INDOOR 3 scenarios, it is observed that an increase in the maximum cell radius in OUTDOOR model causes increased path loss so, the path loss in QPSK CTC 1/2 for example is reached to 129.6561 dB, as compared to 103.3962 dB, 109.8200 dB and 111.6320 dB in INDOOR3, INDOOR 2, and INDOOR 1 respectively.

While the maximum cell radius in OUTDOOR model is reached to 0.3514 km in QPSK CTC 1/2 as compared to 0.0626 km, 0.0954 km, and 0.1075 km in INDOOR3, INDOOR 2, and INDOOR 1 respectively. As expected, decreasing the system data rates, the cell radius is slightly increased.

The variation of the Power received as a function of the distance to the BS has been computed using equations 8, 10, and the parameters given in Tables 6a, 6b, 7, 8, for the propagation scenarios (OUTDOOR; INDOOR 1, INDOOR 2 and INDOOR 3) in the cases of urban and suburban at frequency band 3.5GHZ, and the results are shown in Figure 6-Figure 9.

**Figure 6**

**.**Power received with distance to BS (COST 231-Hata model) in case outdoor

**Figure 7**

**.**Power received with distance to BS (COST 231-Hata model) in case indoor1

**Figure 8**

**.**Power received as a function of distance to BS (COST 231-Hata model) in case indoor2

**Figure 9**

**.**Power received with distance to BS (COST 231-Hata model) in case indoor3

The results from the above Figure 6- Figure 9 showed that the maximum power received in the suburban case is increased by 100%, 3%, 2.5%, and 4% for INDOOR1, INDOOR2, INDOOR3, and OUTDOOR respectively as compared to the urban case.

Comparing OUTDOOR, INDOOR1, INDOOR 2 and INDOOR 3 scenarios it is observed that increase in the maximum power received is -90 dB in OUTDOOR (suburban case), as compared to -100 dB, -110 dB, and -120 dB in INDOOR 1, INDOOR 2, and INDOOR 3 respectively.

While, in (urban case) the maximum power received is -92 dB in OUTDOOR, as compared to -220 dB, -110 dB, and -120 dB in INDOOR 1, INDOOR 2, and INDOOR 3 respectively.

### 4. Conclusions

Propagation models are used extensively in network planning, particularly for conducting feasibility studies and during initial deployment. They are also very useful for performing interference studies as the deployment proceeds. Knowledge on signal degradation enables RF designers to determine the required field strength for a reliable coverage in a specific area.

In this paper, the data rate for the downlink of OFDMA-based IEEE 802.16m WiMAX system and the available DL throughput as a function of distance to the Base Station (BS) are estimated for a number of propagation scenarios (OUTDOOR; INDOOR 1, INDOOR 2 and INDOOR 3). Moreover, Walls penetration loss is also considered. Adaptive modulation and Coding (AMC) schemes were assumed in the present study for 5 MHz and 20 MHz channel bandwidth.

Three indoor scenarios have then been considered. These are representing with the respective attenuations calculated by equations (1) and (2) for a 3.5 GHz frequency. The chosen Indoor scenarios try to represent possible limiting situations on propagation. The analysis was limited to two walls, since when the number of walls increases, other propagation mechanisms become dominant. The effects of the number of wall, and construction materials for each scenario were considered.

The results showed that the maximum distance to base station in the suburban case is increased by 22%, 22.3%, 22.5%, and 18.5% for INDOOR1, INDOOR2, INDOOR3, and OUTDOOR respectively as compared to the urban case.

In OUTDOOR case, the cell range increased as compared to INDOOR 1, INDOOR 2 and INDOOR 3. It is observed that the maximum distance to base station in INDOOR 2 increased by 34.4 % more than INDOOR 3, where in INDOOR1 this distance increase by 11.3% comparing INDOOR2, where without any Penetration Loss in OUTDOOR scenario this distance increase by 69% comparing INDOOR1.

While the maximum cell radius in OUTDOOR model is reached to 0.3514 km in QPSK CTC 1/2 as compared to 0.0626 km, 0.0954 km, and 0.1075 km in INDOOR3, INDOOR 2, and INDOOR 1 respectively. As expected, decreasing the system data rates, the cell radius is slightly increased.

Comparing OUTDOOR, INDOOR1, INDOOR 2 and INDOOR 3 scenarios it is observed that increase in the maximum power received is -90 dB in OUTDOOR (suburban case), as compared to -100 dB, -110 dB, and -120 dB in INDOOR 1, INDOOR 2, and INDOOR 3 respectively. While, in (urban case) the maximum power received is -92 dB in OUTDOOR, as compared to -220 dB, -110 dB, and -120 dB in INDOOR 1, INDOOR 2, and INDOOR 3 respectively.

In INDOOR 3 case the maximum distance to base station and the maximum power received is decreased as compared to INDOOR 2, INDOOR 1 due to the construction materials for each scenario.

At 20 MHz bandwidth one can observe an increasing in data rate as compared to the 5 MHZ bandwidth.

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