# Evaluation of Cover and Reflector in Receiver Antennas for SM-MIMO Wireless Communications

Authors: Shingo Yoshizawa; Yoshikazu Miyanaga
Journal: Journal of Electrical and Computer Engineering
 (2013)

---

## Abstract

Spatial multiplexing multiple-input multiple-output (SM-MIMO) is effective in increasing communication throughput. However, performance degradation occurs in poor multipath and line-of-sight (LOS) channels due to the high spatial correlation. This paper presents the evaluation of cover and reflector in receiver antennas to overcome the performance degradation in MIMO LOS channels. We measured the characteristics of packet error rate (PER), signal-to-noise ratio (SNR), spatial correlation coefficient, and received power ratio in farm, groove, passage, and corner environments. The farm environment degraded communication performance due to the high spatial correlation coefficient. Following the measurement results, we fabricated cover and reflector in receiver antennas to decrease the high spatial correlation and confirmed the improvement of communication performance.


---

## Body

## 1. Introduction

A multiple-input multiple-output (MIMO) [1] technique can improve communication reliability or increase data throughput and attracts a great deal of attention in current wireless communications. Spatial multiplexing (SM) enables independent and parallel data transmission in spatial domain; however, its communication performance strongly depends on MIMO channel conditions. For poor multipath and line-of-sight (LOS) conditions, the high spatial correlation induces performance degradation. In our previous work, we have reported outdoor evaluation of 2×2 MIMO-OFDM communication in farm and passage (between buildings) environments [2, 3]. The farm condition showed the worst communication performance due to the high spatial correlation.To overcome the performance degradation of SM-MIMO, antenna polarization [4] and transmit-array that lies between transmitter and receiver [5, 6] and simulation analysis of near-field MIMO communication with back reflector [7] have been presented. However, antenna polarization is affected by cross-polarization discrimination depending on propagation environments. Their transmission characteristics might be degraded by weather or obstacles. The transmit-array restricts the locations because the transmit-array should be placed away from the transmit and receive antennas. Our approach is use of cover and reflector in MIMO receiver antennas, which does not rely on polarization and transmit-array and is suitable for long-distance communication. First, we evaluated communication characteristics of farm, groove, passage, and corner environments corresponding to rich/poor multipath and LOS/non-LOS (NLOS) conditions. The parameters of signal-to-noise ratio (SNR), spatial correlation coefficient, and received power ratio were important to prospect communication performance. Following the measurements, we fabricated cover and reflector to coordinate the parameters of spatial correlation coefficient and received power ratio. By using the cover and reflector, we confirmed the improvement of communication performance in the farm environment.The paper is organized as follows. Section2 reports the outdoor experiment in basic antenna. Section 3 describes the fabrication of cover and reflector in MIMO receiver antennas. The evaluation of the proposed cover and reflector is presented in Section 4. Section 5 summarizes the paper.


## 2. Outdoor Experiment for Basic Antenna

### 2.1. Experimental Platform

The experimental platform that was developed in our previous work [2] is depicted in Figure 1. The platform structure for 2×2 MIMO-OFDM communication is illustrated in Figure 2. Open-loop spatial multiplexing (OLSM) that does not share channel state information (CSI) in transmitter and receiver is adopted in the MIMO-OFDM communication. The platform consists of the baseband units with the CPU and FPGA boards and the RF units. The CPU board generates transmit data, records received data on software processing, and evaluates the packet error rate (PER), signal-to-noise ratio (SNR), and MIMO propagation channel. The FPGA board provides MIMO-OFDM modulation/demodulation on hardware processing. The baseband signal bandwidth of OFDM is about 80 MHz according to the similar specifications of IEEE 802.11ac WLAN [8]. The RF unit is designed by superheterodyne architecture modulating 374 and 5,200 MHz in IF and RF bands, respectively. Figure 3 shows a block diagram of 2×2 MIMO-OFDM transmitter and receiver. The functions in the transmitter and receiver blocks are the same as those of IEEE802.11n PHY. The MIMO detection block recovers data symbols from spatially multiplexed data streams for SM-MIMO. The linear detection based on a minimum mean-square-error (MMSE) criterion is adopted in the MIMO detection block.Figure 1
Photograph of experimental platform.Figure 2
Structure of experimental platform for2×2 MIMO-OFDM communication.Figure 3
Block diagram of2×2 MIMO-OFDM transmitter and receiver.


### 2.2. Experimental Conditions

Table1 shows the experimental conditions for 2×2 MIMO-OFDM communication. The transmitter antenna has a directional characteristic where the half-power angles are 58 and 76 degrees in E- and H-planes, respectively. The receiver antenna has an omnidirectional characteristic with 360 degrees in both E- and H-planes. The experimental place is illustrated in Figure 4. We evaluate communication characteristics in passage (between buildings), corner (of building), farm, and groove environments. Their photographs are shown in Figure 5. The passage and corner environments represent rich multipath conditions due to the many reflected waves from buildings. The farm and groove environments show poor multipath conditions. The LOS conditions can be observed in the passage and farm environments. The NLOS conditions correspond to the corner and groove environments. The antenna location of the transmitter and receiver antennas common to every environment is denoted in Figure 6. The distance between transmitter and receiver is 40 m. The height of both antennas is 1 m. The offset of 0.8 m at the y-axis corresponds to the location errors in actual wireless systems, whose influence is discussed in Section 3.Table 1
Experimental conditions.
RF band
5150–5250 MHz
Signal bandwidth
79.68 MHz
Number of subcarriers
512
Max. trans. power
357 mW
TX antenna (directional)
NATEC PAT509S-4953Gain 9 dBi Half-power angle E-plane 58 deg/H-plane 76 deg
RX antenna (omnidirectional)
SANSEI ELECTRIC ANTDP-010A0Gain 0 dBi E-plane 360 deg/H-plane 360 deg
Antenna height
1 m
Distance (TX-RX)
40 m
MIMO detection
MMSE
Coding rate
1/2
Modulation
16 QAMFigure 4
Experimental place for passage, corner, farm, and groove conditions in Hokkaido University Sapporo campus.Photographs of experimental environments.
(a)
Passage
(b)
Corner
(c)
Farm
(d)
GrooveFigure 6
Antenna location of transmitter and receiver antennas.The packet format is shown in Figure7. The packet consists of short training field (STF) for packet detection, long training field (LTF) for measured SNR and MIMO channel estimation, and data symbols (Data). The measured SNR is computed from the long training field. The OFDM symbol duration in “LTF” and “Data” is 7.2 μs with the FFT/IFFT window length of 6.4 μs and the guard interval of 0.8 μs. The number of OFDM symbols in 16-QAM transmission is 10. If the number of OFDM symbols is infinity, the ideal data rate reaches 266 Mbps. The PER is measured by counting the number of packet errors in the receiver, where the same binary data in data encoding is known in both the transmitter and the receiver.Figure 7
Frame format.Here, we remark the parameters of spatial correlation coefficient and received power ratio used in the evaluation of experimental results. Given by a MIMO channel matrixH, its matrix elements are expressed as
(1)H=(h11h12h21h22).
For MT transmitter antennas and MR receiver antennas, the MIMO channel H is represented by the MR×MT matrix. Given a 2×2 MIMO channel matrix, the spatial correlation coefficient is given by the following equation [9]:
(2)γ=h11h21*+h12h22*(|h11|2+|h12|2)(|h21|2+|h22|2),
where {·}* denotes complex symmetry. The received power ratio providing the difference of powers between two received antennas is given by
(3)β=|h11|2+|h12|2|h11|2+|h12|2+|h21|2+|h22|2.
The value of 0.5 indicates that the power values of two receiver antennas are equal. Since the MIMO channel capacity [1] is formulated by
(4)C=log2det(I+ρNtHHH),
the MIMO channel capacity can be expressed by the spatial correlation coefficient and received power ratio [9] as
(5)C=log2(1+ρ+βρ2(1-β)(1-|γ|2)),
where ρ is the defined as ρ=P/N0. P is the transmit power and N0 is the noise power. I is an identity matrix. Nt denotes the number of transmitter antennas. The influence of high spatial correlation in terms of channel capacity by log2(1-|γ|2) is extracted from (5). The relation between spatial correlation coefficient and channel capacity is illustrated in Figure 8. When the threshold value is set to 0.99 for horizontal axis denoted by the broken line, channel capacity exponentially decreases in the region of γ≥0.99. The influence of received power ratio by the term of log2β(1-β) appears when the received power ratio considerably goes away from 0.5.Figure 8
Relation between spatial correlation coefficient and channel capacity.Due to the complicated influences of RF demodulator and analog-to-digital converter, we cannot know the SNR directly in the experimental platform. We use the measured SNR estimated from the training symbols in place of the SNR. In the2×2 MIMO-OFDM system, the frequency-domain signal is expressed as
(6)y(l)=Hs(l)+n(l),
where s(l) is a transmit signal with lth OFDM symbol and n(l) is a noise signal. When the transmit signal in the first OFDM symbol (LTF11 and LTF21 in Figure 7) is the same as in the second OFDM symbol (LTF12 and LTF21),
(7)y(1)=Hs(1)+n(1),y(2)=Hs(1)+n(2).
The signal power Pe is computed from the average power of y(1) and y(2) after the channel equalization. The noise power Ne is estimated from the subtraction of y(1) and y(2). The measured SNR is given by the ratio of Pe and Ne.


### 2.3. Experimental Results

We compare communication characteristics of passage, corner, farm, and groove environments for “basic" (without cover and reflector) antenna. Table2 summarizes the experimental results. The averages of PER, measured SNR, spatial correlation coefficient, received power ratio, and measured channel capacity are evaluated from 300 packets for every environment. The PER performance is ranked in the order of passage, corner, groove, and farm environments. In the measured SNR, the passage and the farm environments show high SNRs due to the LOS conditions. However, the PER performance in the farm environment is the worst due to the high spatial correlation coefficient of 0.994.Table 2
Summary of experimental results for basic antenna.
Passage
Corner
Farm
Groove
PER
0.003
0.595
0.997
0.655
Measured SNR (dB)
32.74
23.12
33.68
25.33
Spatial correlation coefficient
0.857
0.722
0.994
0.724
Received power ratio
0.342
0.439
0.476
0.418
Measured channel capacity (bps/Hz)
14.48
13.78
9.96
11.72We evaluate the distribution plots of cumulative distribution function (CDF) for measured SNR, spatial correlation coefficient, received power ratio, and measured channel capacity shown in Figures9, 10, 11, and 12. In Figure 9, the difference of measured SNR results is also observed by the CDF. For the CDF of 0.5, the corner and groove environments range from 22 to 26 dB and the passage and farm environments range from 32 to 34 dB. In Figure 10, the farm environment has much higher value of the spatial correlation coefficient than the other environments.Figure 9
Distribution plot for measured SNR.Figure 10
Distribution plot for spatial correlation coefficient.Figure 11
Distribution plot for received power ratio.Figure 12
Distribution plot for measured channel capacity.The passage environment ranges from 0.8 to 0.9 in the spatial correlation coefficient; however, it gives a much better PER performance than the other environments. The influence of performance degradation by spatial correlation is small as long as the spatial correlation coefficient does not exceed the threshold value. This fact indicates that the farm environment has the possibility of dissolving the performance degradation if the spatial correlation coefficient can be slightly decreased. In Figure11, the received power ratio ranges from 0.3 to 0.5 for all the environments. The results of received power ratio would not affect PER performance so much.The measured channel capacity results are plotted in Figure12. The measured channel capacity is computed from (4) by using the MIMO channel matrix and the measured SNR. The MIMO channel matrix is extracted from the long training field in Figure 7. Since a theoretical channel capacity gives an upper bound on the information rate for reliable communication, it does not directly correspond to the communication performance in the experimental platform. However, the measured channel capacity is also ranked in the order of passage, corner, groove, and farm environments, which is the same as the PER performance. The measured channel capacity can be used as the way of the rough comparison of communication environments.


## 2.1. Experimental Platform

The experimental platform that was developed in our previous work [2] is depicted in Figure 1. The platform structure for 2×2 MIMO-OFDM communication is illustrated in Figure 2. Open-loop spatial multiplexing (OLSM) that does not share channel state information (CSI) in transmitter and receiver is adopted in the MIMO-OFDM communication. The platform consists of the baseband units with the CPU and FPGA boards and the RF units. The CPU board generates transmit data, records received data on software processing, and evaluates the packet error rate (PER), signal-to-noise ratio (SNR), and MIMO propagation channel. The FPGA board provides MIMO-OFDM modulation/demodulation on hardware processing. The baseband signal bandwidth of OFDM is about 80 MHz according to the similar specifications of IEEE 802.11ac WLAN [8]. The RF unit is designed by superheterodyne architecture modulating 374 and 5,200 MHz in IF and RF bands, respectively. Figure 3 shows a block diagram of 2×2 MIMO-OFDM transmitter and receiver. The functions in the transmitter and receiver blocks are the same as those of IEEE802.11n PHY. The MIMO detection block recovers data symbols from spatially multiplexed data streams for SM-MIMO. The linear detection based on a minimum mean-square-error (MMSE) criterion is adopted in the MIMO detection block.Figure 1
Photograph of experimental platform.Figure 2
Structure of experimental platform for2×2 MIMO-OFDM communication.Figure 3
Block diagram of2×2 MIMO-OFDM transmitter and receiver.


## 2.2. Experimental Conditions

Table1 shows the experimental conditions for 2×2 MIMO-OFDM communication. The transmitter antenna has a directional characteristic where the half-power angles are 58 and 76 degrees in E- and H-planes, respectively. The receiver antenna has an omnidirectional characteristic with 360 degrees in both E- and H-planes. The experimental place is illustrated in Figure 4. We evaluate communication characteristics in passage (between buildings), corner (of building), farm, and groove environments. Their photographs are shown in Figure 5. The passage and corner environments represent rich multipath conditions due to the many reflected waves from buildings. The farm and groove environments show poor multipath conditions. The LOS conditions can be observed in the passage and farm environments. The NLOS conditions correspond to the corner and groove environments. The antenna location of the transmitter and receiver antennas common to every environment is denoted in Figure 6. The distance between transmitter and receiver is 40 m. The height of both antennas is 1 m. The offset of 0.8 m at the y-axis corresponds to the location errors in actual wireless systems, whose influence is discussed in Section 3.Table 1
Experimental conditions.
RF band
5150–5250 MHz
Signal bandwidth
79.68 MHz
Number of subcarriers
512
Max. trans. power
357 mW
TX antenna (directional)
NATEC PAT509S-4953Gain 9 dBi Half-power angle E-plane 58 deg/H-plane 76 deg
RX antenna (omnidirectional)
SANSEI ELECTRIC ANTDP-010A0Gain 0 dBi E-plane 360 deg/H-plane 360 deg
Antenna height
1 m
Distance (TX-RX)
40 m
MIMO detection
MMSE
Coding rate
1/2
Modulation
16 QAMFigure 4
Experimental place for passage, corner, farm, and groove conditions in Hokkaido University Sapporo campus.Photographs of experimental environments.
(a)
Passage
(b)
Corner
(c)
Farm
(d)
GrooveFigure 6
Antenna location of transmitter and receiver antennas.The packet format is shown in Figure7. The packet consists of short training field (STF) for packet detection, long training field (LTF) for measured SNR and MIMO channel estimation, and data symbols (Data). The measured SNR is computed from the long training field. The OFDM symbol duration in “LTF” and “Data” is 7.2 μs with the FFT/IFFT window length of 6.4 μs and the guard interval of 0.8 μs. The number of OFDM symbols in 16-QAM transmission is 10. If the number of OFDM symbols is infinity, the ideal data rate reaches 266 Mbps. The PER is measured by counting the number of packet errors in the receiver, where the same binary data in data encoding is known in both the transmitter and the receiver.Figure 7
Frame format.Here, we remark the parameters of spatial correlation coefficient and received power ratio used in the evaluation of experimental results. Given by a MIMO channel matrixH, its matrix elements are expressed as
(1)H=(h11h12h21h22).
For MT transmitter antennas and MR receiver antennas, the MIMO channel H is represented by the MR×MT matrix. Given a 2×2 MIMO channel matrix, the spatial correlation coefficient is given by the following equation [9]:
(2)γ=h11h21*+h12h22*(|h11|2+|h12|2)(|h21|2+|h22|2),
where {·}* denotes complex symmetry. The received power ratio providing the difference of powers between two received antennas is given by
(3)β=|h11|2+|h12|2|h11|2+|h12|2+|h21|2+|h22|2.
The value of 0.5 indicates that the power values of two receiver antennas are equal. Since the MIMO channel capacity [1] is formulated by
(4)C=log2det(I+ρNtHHH),
the MIMO channel capacity can be expressed by the spatial correlation coefficient and received power ratio [9] as
(5)C=log2(1+ρ+βρ2(1-β)(1-|γ|2)),
where ρ is the defined as ρ=P/N0. P is the transmit power and N0 is the noise power. I is an identity matrix. Nt denotes the number of transmitter antennas. The influence of high spatial correlation in terms of channel capacity by log2(1-|γ|2) is extracted from (5). The relation between spatial correlation coefficient and channel capacity is illustrated in Figure 8. When the threshold value is set to 0.99 for horizontal axis denoted by the broken line, channel capacity exponentially decreases in the region of γ≥0.99. The influence of received power ratio by the term of log2β(1-β) appears when the received power ratio considerably goes away from 0.5.Figure 8
Relation between spatial correlation coefficient and channel capacity.Due to the complicated influences of RF demodulator and analog-to-digital converter, we cannot know the SNR directly in the experimental platform. We use the measured SNR estimated from the training symbols in place of the SNR. In the2×2 MIMO-OFDM system, the frequency-domain signal is expressed as
(6)y(l)=Hs(l)+n(l),
where s(l) is a transmit signal with lth OFDM symbol and n(l) is a noise signal. When the transmit signal in the first OFDM symbol (LTF11 and LTF21 in Figure 7) is the same as in the second OFDM symbol (LTF12 and LTF21),
(7)y(1)=Hs(1)+n(1),y(2)=Hs(1)+n(2).
The signal power Pe is computed from the average power of y(1) and y(2) after the channel equalization. The noise power Ne is estimated from the subtraction of y(1) and y(2). The measured SNR is given by the ratio of Pe and Ne.


## 2.3. Experimental Results

We compare communication characteristics of passage, corner, farm, and groove environments for “basic" (without cover and reflector) antenna. Table2 summarizes the experimental results. The averages of PER, measured SNR, spatial correlation coefficient, received power ratio, and measured channel capacity are evaluated from 300 packets for every environment. The PER performance is ranked in the order of passage, corner, groove, and farm environments. In the measured SNR, the passage and the farm environments show high SNRs due to the LOS conditions. However, the PER performance in the farm environment is the worst due to the high spatial correlation coefficient of 0.994.Table 2
Summary of experimental results for basic antenna.
Passage
Corner
Farm
Groove
PER
0.003
0.595
0.997
0.655
Measured SNR (dB)
32.74
23.12
33.68
25.33
Spatial correlation coefficient
0.857
0.722
0.994
0.724
Received power ratio
0.342
0.439
0.476
0.418
Measured channel capacity (bps/Hz)
14.48
13.78
9.96
11.72We evaluate the distribution plots of cumulative distribution function (CDF) for measured SNR, spatial correlation coefficient, received power ratio, and measured channel capacity shown in Figures9, 10, 11, and 12. In Figure 9, the difference of measured SNR results is also observed by the CDF. For the CDF of 0.5, the corner and groove environments range from 22 to 26 dB and the passage and farm environments range from 32 to 34 dB. In Figure 10, the farm environment has much higher value of the spatial correlation coefficient than the other environments.Figure 9
Distribution plot for measured SNR.Figure 10
Distribution plot for spatial correlation coefficient.Figure 11
Distribution plot for received power ratio.Figure 12
Distribution plot for measured channel capacity.The passage environment ranges from 0.8 to 0.9 in the spatial correlation coefficient; however, it gives a much better PER performance than the other environments. The influence of performance degradation by spatial correlation is small as long as the spatial correlation coefficient does not exceed the threshold value. This fact indicates that the farm environment has the possibility of dissolving the performance degradation if the spatial correlation coefficient can be slightly decreased. In Figure11, the received power ratio ranges from 0.3 to 0.5 for all the environments. The results of received power ratio would not affect PER performance so much.The measured channel capacity results are plotted in Figure12. The measured channel capacity is computed from (4) by using the MIMO channel matrix and the measured SNR. The MIMO channel matrix is extracted from the long training field in Figure 7. Since a theoretical channel capacity gives an upper bound on the information rate for reliable communication, it does not directly correspond to the communication performance in the experimental platform. However, the measured channel capacity is also ranked in the order of passage, corner, groove, and farm environments, which is the same as the PER performance. The measured channel capacity can be used as the way of the rough comparison of communication environments.


## 3. Fabrication of Cover and Reflector

We have fabricated cover and reflector attaching to MIMO receiver antennas so as to decrease the spatial correlation coefficient in the farm environment. The photograph and structure of the proposed cover and reflector are illustrated in Figure13. The cover and reflector consist of the H-plane omnidirectional antenna and the cylindrical plastic case with the radius of 12 cm, where the side of the case is pasted with aluminum foil. When the front cover is set to 0 degrees, the cover locates at −38 to 38 degrees and the two reflectors locate at 80 to 160 degrees and 200 to 280 degrees.Figure 13
Proposed cover and reflector.Figure14 shows the incident paths of radio waves by the cover and reflector. Due to the offset at the y-axis in Figure 6, the four incident paths to the receiver antennas are not symmetric. As for basic antenna, the influence of nonsymmetric paths can be ignored because their path lengths are almost the same. When the covers are located in front of the receiver antennas in Figure 14(a), three direct waves convert to the diffracted waves. However, one direct wave incidents to the second receiver antenna owing to the nonsymmetric deployment. It gives the difference of wave types between first and second receiver antennas and contributes to decreasing the spatial correlation coefficient in the farm environment. However, the diffracted wave causes the decrease of power in the receiver antenna. It causes power unbalance for the two receiver antennas where received power ratio considerably goes away from 0.5. We apply antenna side reflectors to dissolve the power imbalance, illustrated in Figure 14(b). The side reflectors can increase the power of the first receiver antenna by adding the reflected waves. The reflector is used for the adjustment of the received power ratio affected by the cover.Incident paths of radio waves for cover and reflector.
(a)
Cover
(b)
Cover and reflector


## 4. Evaluation of Cover and Reflector

We compare four types of basic antenna, cover, reflector, and “cover and reflector" in the farm environment. The experimental condition is the same as in Section2. Table 3 summarizes the evaluation results. The averages of PER, measured SNR, spatial correlation coefficient, and received power ratio are evaluated for every 300 packets. The PER performance is ranked in the order of cover and reflector, cover, basic antenna, and reflector. In the measured SNR, the four types show similar SNR values due to the same farm environment. Although the spatial correlation coefficient of cover and reflector is slightly smaller than those of basic antenna and reflector, the considerable improvement of PER performance is observed. The first column in Table 3 has the same condition of the third column in Table 2, that is, the farm environment and the basic antenna. Due to the existence of the plastic case (without the aluminum foils) in Figure 13, the results in Table 3 are slightly different from those in Table 2.Table 3
Summary of experimental results in conventional and proposed antennas.
Basic antenna
Cover
Reflector
Cover and reflector
PER
0.963
0.690
0.960
0.020
Measured SNR (dB)
33.43
33.15
33.71
33.37
Spatial correlation coefficient
0.985
0.923
0.987
0.974
Received power ratio
0.511
0.181
0.620
0.283We evaluate the distribution plots of CDF for spatial correlation coefficient and received power ratio, shown in Figures15 and 16. In Figure 15, the decrease of the spatial correlation coefficient is observed from the results of the cover and cover and reflector. The reflector does affect spatial correlation so much. In Figure 16, the received power ratio in the cover is 0.18 for the CDF of 0.5. This power imbalance in receiver antennas causes the performance degradation. The reflector and cover and reflector increase the received power ratio, locating at 0.61 and 0.28 for the CDF of 0.5. It indicates the power increase of the second receiver antenna by accepting the reflected waves. The cover and reflector has a better tradeoff between spatial correlation coefficient and received power ratio and can improve PER performance compared to the basic antenna.Figure 15
Scatter plot for spatial correlation coefficient in four types of antenna.Figure 16
Scatter plot for received power ratio in four types of antenna.


## 5. Conclusion

This paper presents the evaluation of cover and reflector in receiver antennas so as to overcome performance degradation in MIMO LOS channels. The proposed cover and reflector slightly decreases the spatial correlation coefficient and keeps the received power ratio near 0.5. Owing to these effects, the MIMO-OFDM transceiver has attained better communication performance even in the farm environment. Evaluation of larger MIMO systems such as4×4 MIMO will be studied as our future work.



---

*Source: 123827-2013-12-03.xml*