Personal Picocell Scheme Using Adaptive Control CRE in Heterogeneous Mobile Networks "2279

Heterogeneous networks (HetNets), which are combined with a macrocell and picocell in the same coverage, are expected to further increase the system capacity in fifth-generation mobile systems and beyond. In HetNets, the cell range expansion (CRE) technique plays an important role and can allow more user equipment (UE) to access the picocell, i.e., virtually expand the picocell coverage. However, conventional CRE techniques that provide a fixed cell selection offset (CSO) for all UE may worsen user throughput if UE is forced to connect to the picocell because the received signal-to-interference plus noise ratio of the UE becomes lower. Therefore, we propose a personal picocell scheme using an adaptive control CRE technique to improve user throughput in which different CSOs are assigned to UE to form each optimal picocell for each UE. In this paper, we first describe the aspects and algorithm of the proposed scheme. Then, we show the user throughput for adaptive control CRE in comparison with conventional CRE by using system-level computer simulations for the two types of HetNets, i.e., single-band and multi-band HetNets. In the simulations, we first clarify the optimal parameters of the adaptive control CRE. We then show the average and 5-percentile user throughput of the optimized adaptive control CRE in comparison with that of conventional CRE. From these results, we confirmed that the personal picocell scheme using the adaptive control CRE can improve the 5-percentile user throughput while maintaining the average user throughput compared with that of conventional CRE.


Introduction
Fifth-generation (5G) mobile systems are being developed, notably in the third-generation partnership project (3GPP) standards body, and have been partially launched worldwide, and the 5G coverage area is gradually being expanded. The primary objectives of 5G are to increase system capacity and improve data rates, which is called enhanced mobile broadband (eMBB), and achieve ultra-reliable low latency communication (URLLC) while providing massive machine type communications (mMTC) based on the Internet of Things (IoT) [1][2][3][4][5].
Two types of 5G systems are approved by the 3GPP standards body; one is 5G New Radio (NR) with non-standalone (NSA) operation which enables 5G NR deployments using existing fourth-generation (4G) mobile systems, such as long-term evolution (LTE). Another one is 5G NR with standalone (SA) operation, which will provide a complete 5G NR with a 5G core network. The initial phase of

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We propose a new concept of a personal picocell scheme in HetNet and propose an adaptive control CRE technique to realize the personal picocell scheme through the use of two different CSOs.

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We first clarify the optimal parameters of the proposed adaptive control CRE for single-and multi-band HetNets. We then show the average and 5-percentile user throughput of the optimized adaptive control CRE and compare them with those of conventional CRE.
This paper is organized as follows. In Section 2, we introduce the concept and architecture of the personal picocell scheme and adaptive control CRE using two different CSOs. In Section 3, we discuss the parameter optimization of the adaptive control CRE, and show the user throughput of the optimized adaptive control CRE in single-band HetNet in comparison with the conventional method. In Section 4, we show the user throughput of the optimized adaptive control CRE in a multi-band HetNet. Finally, we conclude our work in Section 5. Figure 1 shows a typical HetNet combined with a three-sector macrocell served by a macro-eNB and picocell for each macro-sector served by each pico-eNB. Picocells are primarily added to increase the system capacity in hot spots with considerable UE, including indoor areas. By offloading traffic from the macrocell, HetNet can improve the system performance, i.e., provide increased user throughput.  Figure 1 shows a typical HetNet combined with a three-sector macrocell served by a macro-eNB and picocell for each macro-sector served by each pico-eNB. Picocells are primarily added to increase the system capacity in hot spots with considerable UE, including indoor areas. By offloading traffic from the macrocell, HetNet can improve the system performance, i.e., provide increased user throughput.
From a carrier frequency perspective, two types of HetNets have been discussed, as shown in Figure2. The first is single-band HetNet in which the carrier frequency of the picocell is the same as that of the macrocell, as shown in Figure 2a. The second is multi-band HetNet in which the carrier frequencies between the macrocell and picocell are different, as shown in Figure 2b. The single-band HetNet causes interference between the macrocell and picocell, as well as interference between picocells. However, multi-band HetNet causes interference only between picocells. In this paper, a HetNet with time-domain enhanced inter-cell interference coordination (eICIC) to eliminate the interference between the macrocell and picocell is not considered [19]. In HetNets, it is important for UE to determine which access is better to communicate with the macro-or pico-eNBs, which is referred to as cell selection. UE is normally connected to a cell with a stronger downlink RSRP or with a higher signal-to-interference plus noise ratio (SINR). Therefore, the connection ratio of the macro-eNB is greater than that of the pico-eNB because the transmission power of the macro-eNB is larger than that of the pico-eNB. CRE technique is very effective at increasing the connection ratio of the pico-eNB through the use of a positive CSO for the downlink RSRP from the pico-eNB, as shown in Figure 3, although the downlink transmission power of the From a carrier frequency perspective, two types of HetNets have been discussed, as shown in Figure 2. The first is single-band HetNet in which the carrier frequency of the picocell is the same as that of the macrocell, as shown in Figure 2a. The second is multi-band HetNet in which the carrier frequencies between the macrocell and picocell are different, as shown in Figure 2b. The single-band HetNet causes interference between the macrocell and picocell, as well as interference between picocells. However, multi-band HetNet causes interference only between picocells. In this paper, a HetNet with time-domain enhanced inter-cell interference coordination (eICIC) to eliminate the interference between the macrocell and picocell is not considered [19].  Figure 1 shows a typical HetNet combined with a three-sector macrocell served by a macro-eNB and picocell for each macro-sector served by each pico-eNB. Picocells are primarily added to increase the system capacity in hot spots with considerable UE, including indoor areas. By offloading traffic from the macrocell, HetNet can improve the system performance, i.e., provide increased user throughput.
From a carrier frequency perspective, two types of HetNets have been discussed, as shown in Figure2. The first is single-band HetNet in which the carrier frequency of the picocell is the same as that of the macrocell, as shown in Figure 2a. The second is multi-band HetNet in which the carrier frequencies between the macrocell and picocell are different, as shown in Figure 2b. The single-band HetNet causes interference between the macrocell and picocell, as well as interference between picocells. However, multi-band HetNet causes interference only between picocells. In this paper, a HetNet with time-domain enhanced inter-cell interference coordination (eICIC) to eliminate the interference between the macrocell and picocell is not considered [19]. In HetNets, it is important for UE to determine which access is better to communicate with the macro-or pico-eNBs, which is referred to as cell selection. UE is normally connected to a cell with a stronger downlink RSRP or with a higher signal-to-interference plus noise ratio (SINR). Therefore, the connection ratio of the macro-eNB is greater than that of the pico-eNB because the transmission power of the macro-eNB is larger than that of the pico-eNB. CRE technique is very effective at increasing the connection ratio of the pico-eNB through the use of a positive CSO for the downlink RSRP from the pico-eNB, as shown in Figure 3, although the downlink transmission power of the In HetNets, it is important for UE to determine which access is better to communicate with the macro-or pico-eNBs, which is referred to as cell selection. UE is normally connected to a cell with a stronger downlink RSRP or with a higher signal-to-interference plus noise ratio (SINR). Therefore, the connection ratio of the macro-eNB is greater than that of the pico-eNB because the transmission power of the macro-eNB is larger than that of the pico-eNB. CRE technique is very effective at increasing the connection ratio of the pico-eNB through the use of a positive CSO for the downlink RSRP from the pico-eNB, as shown in Figure 3, although the downlink transmission power of the pico-eNB is fixed (i.e., unchanged for UE). In this case, the picocell coverage appears to be wider as an "extended picocell" for the UE in the CRE zone, as shown in Figure 3. Consequently, the connection point of the UE in the CRE zone should be changed from macro-eNB to pico-eNB when CRE is activated. Like this, CRE technique is effectively used in HetNets to enhance the system capacity as well as cell-edge user throughput. However, CRE degrades the downlink RSRP of the UE that is forcibly served by the pico-eNB located in the CRE zone because the downlink RSRP from the macro-eNB is in reality higher than that from the pico-eNB. According to the CRE drawback, the user throughput of the UE that is served by the pico-eNB in the CRE zone may worsen. pico-eNB is fixed (i.e., unchanged for UE). In this case, the picocell coverage appears to be wider as an "extended picocell" for the UE in the CRE zone, as shown in Figure3. Consequently, the connection point of the UE in the CRE zone should be changed from macro-eNB to pico-eNB when CRE is activated. Like this, CRE technique is effectively used in HetNets to enhance the system capacity as well as cell-edge user throughput. However, CRE degrades the downlink RSRP of the UE that is forcibly served by the pico-eNB located in the CRE zone because the downlink RSRP from the macro-eNB is in reality higher than that from the pico-eNB. According to the CRE drawback, the user throughput of the UE that is served by the pico-eNB in the CRE zone may worsen. Interference scenario for pico-eNB installed at outdoor is different from that for indoor pico-eNB. Therefore, the usefulness of CRE is scenario dependent. For example, the CRE may not be useful for indoor pico-eNB, because buildings wall provide isolation between the microcell and picocell.
From the uplink performance perspective, CRE would increase the uplink received power and/or SINR at pico-eNB when the connection point is changed to the pico-eNB from macro-eNB by the CRE. It is well-known that uplink cell border is different from the downlink border in HetNets. In general, the uplink border is closer to macro-eNB compared with the downlink border. Therefore, the received SINR at pico-eNB for UE within CRE zone can be improved, because the path-loss to the pico-eNB is less than that to the macro-eNB.

Proposal of Personal Picocell Scheme
In conventional CRE technology, a fixed CSO is applied to all UE within the macrocell or macrosector. However, as mentioned in Section 2.1, CRE actually induces a decreased downlink RSRP for the UE in the CRE zone. Because the received downlink SINR of the UE from the pico-eNB decreases, the throughput of the UE must be lower unless the radio resource assignment is unchanged. However, CRE can be expected to increase the throughput because the pico-eNB can assign more radio resources to the UE in the CRE zone.
Therefore, to solve this problem, we propose a personal picocell scheme in which the picocell coverage should be independent of each UE, i.e., the CRE zone should be independent of each UE when the CRE is activated on the condition that the downlink transmission power of the pico-eNB is fixed [18]. The basic concepts are to provide a positive high CSO for UE with lower downlink SINR from macro-eNB to encourage the connection to pico-eNB, and conversely to provide a positive low CSO for UE with higher downlink SINR to maintain the connection to macro-eNB. Figure 4 shows an example of a personal picocell scheme in which CRE can form an independent extended picocell: "a picocell for UE1 with a CSO1 around pico-eNB1" and "a picocell for UE2 with a CSO2 around pico-eNB2." Similarly, CRE for pico-eNB3 can also form an independent extended picocell, "a picocell for UE3 with a CSO3" and "a picocell for UE4 with a CSO4," even though UE3 and UE4 are connected to the same pico-eNB3. Interference scenario for pico-eNB installed at outdoor is different from that for indoor pico-eNB. Therefore, the usefulness of CRE is scenario dependent. For example, the CRE may not be useful for indoor pico-eNB, because buildings wall provide isolation between the microcell and picocell.
From the uplink performance perspective, CRE would increase the uplink received power and/or SINR at pico-eNB when the connection point is changed to the pico-eNB from macro-eNB by the CRE. It is well-known that uplink cell border is different from the downlink border in HetNets. In general, the uplink border is closer to macro-eNB compared with the downlink border. Therefore, the received SINR at pico-eNB for UE within CRE zone can be improved, because the path-loss to the pico-eNB is less than that to the macro-eNB.

Proposal of Personal Picocell Scheme
In conventional CRE technology, a fixed CSO is applied to all UE within the macrocell or macro-sector. However, as mentioned in Section 2.1, CRE actually induces a decreased downlink RSRP for the UE in the CRE zone. Because the received downlink SINR of the UE from the pico-eNB decreases, the throughput of the UE must be lower unless the radio resource assignment is unchanged. However, CRE can be expected to increase the throughput because the pico-eNB can assign more radio resources to the UE in the CRE zone.
Therefore, to solve this problem, we propose a personal picocell scheme in which the picocell coverage should be independent of each UE, i.e., the CRE zone should be independent of each UE when the CRE is activated on the condition that the downlink transmission power of the pico-eNB is fixed [18]. The basic concepts are to provide a positive high CSO for UE with lower downlink SINR from macro-eNB to encourage the connection to pico-eNB, and conversely to provide a positive low CSO for UE with higher downlink SINR to maintain the connection to macro-eNB. Figure 4 shows an example of a personal picocell scheme in which CRE can form an independent extended picocell: "a picocell for UE 1 with a CSO 1 around pico-eNB 1 " and "a picocell for UE 2 with a CSO 2 around pico-eNB 2 ." Similarly, CRE for pico-eNB 3 can also form an independent extended picocell, "a picocell for UE 3 with a CSO 3 " and "a picocell for UE 4 with a CSO 4 ," even though UE 3

Adaptive Control CRE
In general, cell selection is executed using downlink RSRP which is represented as Equation (1).
where, i and u show the cell ID and user ID (UE ID), respectively. ju is the donor cell ID that is chosen by UEu, and Pi,u represents the RSRP at UEu obtained from the reference signal of cell-i. CRE is basically activated using RSRP-based method. According to CRE, UE makes an offset to the RSRP obtained from the reference signal of the picocell, which is given by Equations (2) and (3).
where, γi represents the CSO which is applied to UE located within and/or close to cell-i. If CRE does not work, i.e., CSO = 0 dB, the picocell coverage remains unchanged. CRE is not applied for microcell; therefore, γi is fixed to 0. As mentioned in Section 2.2, it could be ideal for each UE to provide each CSO to realize the personal picocell scheme. However, it would be impossible to do that in real mobile networks because the number of UE is enormous. Therefore, we propose an adaptive control CRE that uses two different CSOs (CSOhigh and CSOlow). In the proposed method, CSO is given by Equation (3).
where γi,u indicates the CSO which is applied to UEu located near the picocell-i. SINRu is the downlink SINR measured at the UEu obtained from the reference signal of the donor microcell. SINRth is assumed to meet a fixed value of α for cumulative distribution function (CDF), where the CDF is formed by the downlink SINRu measured at all UE obtained from the reference signal of macrocell. Figure 5 shows the principle of the adaptive control CRE and how to determine the two different CSOs. The macro-eNB first determines α, SINRth and two different CSOs (CSOhigh and CSOlow) based on the results of the CDF. Then, the macro-eNB commands all UE within the macrocell in which CSOhigh is assigned to UE with a SINR lower than SINRth, and CSOlow is assigned to UE with a SINR greater than SINRth. Figure 5 also shows the difference in picocell coverage for UE1 and UECSOhigh is assigned to UE1 because SINR1 of UE1 is lower than SINRth. Similarly, CSOlow is assigned to UE2 because SINR2 of UE2 is greater than SINRth. Consequently, the picocell coverage of UE1 looks wider than that of UE2. Figure 6 shows the algorithm of the adaptive control CRE. The fundamental concept for the offloading scenario is the almost same as that for the conventional CRE. The difference is that UE can choose two different CSOs (CSOhigh and CSOlow) depending on their downlink received SINR performance.

Adaptive Control CRE
In general, cell selection is executed using downlink RSRP which is represented as Equation (1).
where, i and u show the cell ID and user ID (UE ID), respectively. j u is the donor cell ID that is chosen by UE u , and P i,u represents the RSRP at UE u obtained from the reference signal of cell-i. CRE is basically activated using RSRP-based method. According to CRE, UE makes an offset to the RSRP obtained from the reference signal of the picocell, which is given by Equations (2) and (3).
where, γ i represents the CSO which is applied to UE located within and/or close to cell-i. If CRE does not work, i.e., CSO = 0 dB, the picocell coverage remains unchanged. CRE is not applied for microcell; therefore, γ i is fixed to 0. As mentioned in Section 2.2, it could be ideal for each UE to provide each CSO to realize the personal picocell scheme. However, it would be impossible to do that in real mobile networks because the number of UE is enormous. Therefore, we propose an adaptive control CRE that uses two different CSOs (CSO high and CSO low ). In the proposed method, CSO is given by Equation (3).
where γ i,u indicates the CSO which is applied to UE u located near the picocell-i. SINR u is the downlink SINR measured at the UE u obtained from the reference signal of the donor microcell. SINR th is assumed to meet a fixed value of α for cumulative distribution function (CDF), where the CDF is formed by the downlink SINR u measured at all UE obtained from the reference signal of macrocell. Figure 5 shows the principle of the adaptive control CRE and how to determine the two different CSOs. The macro-eNB first determines α, SINR th and two different CSOs (CSO high and CSO low ) based on the results of the CDF. Then, the macro-eNB commands all UE within the macrocell in which CSO high is assigned to UE with a SINR lower than SINR th , and CSO low is assigned to UE with a SINR greater than SINR th . Figure 5 also shows the difference in picocell coverage for UE 1 and UECSO high is assigned to UE 1 because SINR 1 of UE 1 is lower than SINR th . Similarly, CSO low is assigned to UE 2 because SINR 2 of UE 2 is greater than SINR th . Consequently, the picocell coverage of UE 1 looks wider than that of UE 2 . Figure 6 shows the algorithm of the adaptive control CRE. The fundamental concept for the offloading scenario is the almost same as that for the conventional CRE. The difference is that UE can choose two different CSOs (CSO high and CSO low ) depending on their downlink received SINR performance.

Simulation Setup
In this study, we evaluate the user throughput of adaptive control CRE using system-level computer simulations under the conditions that the number of macrocells with three sectors per site is 19 and the number of picocells is four per macro-sector. The primary simulation parameters are listed in Table 1. The carrier frequencies used in the macro-and pico-eNBs are 2.0 GHz. The system bandwidth of both the macro-and pico-eNBs are assumed to be 10 MHz. The number of UEs is set to 30 per macro sector. UE is located based on a cluster distribution in which 2/3 of the number of UEs are uniformly deployed nearby the pico-eNBs and the rest (1/3 of the number of UEs) are uniformly deployed within the macrocell. The transmission power in the downlink is fixed at +46 and +30 dBm for the macro-and pico-eNBs, respectively. The path-loss model and other assumptions are obtained from in ref. [25]. In this paper, we focus on the performance evaluation of downlink user throughput. As the use of higher-order QAM is expected to increase data rates within a limited bandwidth, the implementation of 1024-QAM and 4096-QAM has been discussed [26][27][28] for 5G and beyond. However, in the simulations, we use 15 types of MCS indexes up to 256-QAM in the downlink as listed in Table 2, because the application conditions for these post 256-QAM are currently very limited. This is the same as the channel quality indicator (CQI) indexes specified by 3GPP release 12. The MCS used in the downlink for UE is determined by the channel quality between the macro-eNB and the UE. The lowest and highest modulation schemes are quadrature phase shift keying (QPSK) and 256-QAM, respectively. MCS index incorporating a higher-order QAM is assigned to UE with good channel quality; however, QPSK is almost assigned to UE with poor channel quality.
System-level simulations are worth evaluating user throughput for mobile network, and will contribute significantly to the requirements at early stages of the development and hardware implementation.

Parameter Optimization in Single-Band HetNet
We first determine the parameter optimization, (i.e., the best combination of α, CSO high , and CSO low ), of adaptive control CRE to provide the best average and 5-percentile user throughput. Here, the 5-percentile user throughput is defined as the 5th percentile point of the CDF of user throughput. Figure 7a-d shows the average and 5-percentile user throughput versus CSO high as a function of CSO low for α = 0.2, 0.4, 0.6, and 0.8, respectively. As shown in Figure 7a,b, the performance of α = 0.2 and 0.4 is better than that of α = 0.6 and 0.When α = 0.2 and 0.4, a lower CSO low provide a better average user throughput and a higher CSO low provide a better 5-percentile user throughput. Considering both the average and 5-percentile user throughput, the parameters of α = 0.4, CSO low = 4 dB, and CSO high = 6 dB are determined to be the best.  Figure 8 shows the average and 5-percentile user throughput of the proposed adaptive control CRE using the optimal parameters determined in Section 3.2 compared with those for the conventional method and homogeneous network (HomoNet).

Comparison with Conventional Method
In the conventional method, six kinds of fixed CSO are set: CSO = 0, 2, 4, 6, 8, and 10 dB. The proposed method (Proposal) refers to the use of adaptive control CRE with the parameters of α = 0.4, CSO low = 4 dB, and CSO high = 6 dB. The blue bar shows the average user throughput corresponding to the left-side axis, and the orange bar shows the 5-percentile user throughput corresponding to the right-side axis.
The average user throughput decreases according to an increase of the CSO from 0 to 10 dB. One reason for this phenomenon is the increase of the number of UE in the CRE zone whose user throughput may be degraded. By increasing the CSO up to 4 dB, the 5-percentile user throughput increases, although the average user throughput decreases. One reason is that UE with poor user throughput connected to macro-eNB is connected to pico-eNB. This results in the improvement of the user throughput of the UE. However, a higher CSO decreases the 5-percentile user throughput in the conventional CRE. Likewise, if we attempt to improve the 5-percentile user throughput using a fixed CSO, the conventional CRE causes a deterioration in the average user throughput. However, the adaptive control CRE can solve such kinds of trade-off problems, i.e., improve the 5-percentile user throughput by 5% while maintaining the average user throughput compared with those of conventional method (a CSO of 4 dB), as shown in Figure 8. Compared with a CSO of 0 dB, the proposed method can improve 5-percentile user throughput by 1.5 times approximately, although the average user throughput slightly decreases. Figure 7a-d shows the average and 5-percentile user throughput versus CSOhigh as a function of CSOlow for α = 0.2, 0.4, 0.6, and 0.8, respectively. As shown in Figure 7a,b, the performance of α = 0.2 and 0.4 is better than that of α = 0.6 and 0.When α = 0.2 and 0.4, a lower CSOlow provide a better average user throughput and a higher CSOlow provide a better 5-percentile user throughput. Considering both the average and 5-percentile user throughput, the parameters of α = 0.4, CSOlow = 4 dB, and CSOhigh = 6 dB are determined to be the best.  Figure 8 shows the average and 5-percentile user throughput of the proposed adaptive control CRE using the optimal parameters determined in Section 3.2 compared with those for the

User Throughput in Multi-Band HetNet
In this part, we evaluate the user throughput of adaptive control CRE in multi-band HetNet whose carrier frequencies used in the macro-and pico-eNBs are 2.0 and 3.4 GHz, respectively. Compared to single-band HetNet as shown in Section 3, multi-band HetNet causes interference only between picocells, i.e., there is no interference between macrocell and picocell. In terms of system bandwidth, we assumed that the bandwidth of the picocell is the same as that of the macrocell, as listed in Table 1. Other simulation conditions are same as for single-band HetNet. Like this, we discuss the user throughput of adaptive control CRE in multi-band HetNet under the same conditions of single-band HetNet except the carrier frequencies. When α = 0.2, the 5-percentile user throughput worsens, although the average user throughput slightly increases compared with that at α = 0.When α = 0.6 or 0.8, both 5-percentile and average user throughput worsens compared with those at α = 0. Thus, from the 5-percentile user throughput perspective, α = 0.4 provides best performance among α = 0.2, 0.4, 0.6, and 0.8.

Parameter Optimization in Multi-Band HetNet
The behavior for average user throughput against CSOlow is the same as in single-band HetNet. When α = 0.4, the average user throughput hardly depends on CSOhigh. CSOlow of 0 or 3 dB provides better average user throughput than that of CSOlow of 6 or 9 dB. Thus, considering both the average and 5-percentile user throughput, the parameters of α = 0.4, CSOlow = 3 dB, and CSOhigh = 12 dB are determined to be the best.

User Throughput in Multi-Band HetNet
In this part, we evaluate the user throughput of adaptive control CRE in multi-band HetNet whose carrier frequencies used in the macro-and pico-eNBs are 2.0 and 3.4 GHz, respectively. Compared to single-band HetNet as shown in Section 3, multi-band HetNet causes interference only between picocells, i.e., there is no interference between macrocell and picocell. In terms of system bandwidth, we assumed that the bandwidth of the picocell is the same as that of the macrocell, as listed in Table 1. Other simulation conditions are same as for single-band HetNet. Like this, we discuss the user throughput of adaptive control CRE in multi-band HetNet under the same conditions of single-band HetNet except the carrier frequencies. When α = 0.2, the 5-percentile user throughput worsens, although the average user throughput slightly increases compared with that at α = 0.When α = 0.6 or 0.8, both 5-percentile and average user throughput worsens compared with those at α = 0. Thus, from the 5-percentile user throughput perspective, α = 0.4 provides best performance among α = 0.2, 0.4, 0.6, and 0.8.

Parameter Optimization in Multi-Band HetNet
The behavior for average user throughput against CSO low is the same as in single-band HetNet. When α = 0.4, the average user throughput hardly depends on CSO high . CSO low of 0 or 3 dB provides better average user throughput than that of CSO low of 6 or 9 dB. Thus, considering both the average and 5-percentile user throughput, the parameters of α = 0.4, CSO low = 3 dB, and CSO high = 12 dB are determined to be the best.   Figure 10 shows the average and 5-percentile user throughput of the adaptive control CRE when using the optimal parameters determined as described in Section 4.1, i.e., α = 0.4, CSO low = 3 dB, and CSO high = 12 dB, compared with the conventional method and HomoNet.  Figure 10 shows the average and 5-percentile user throughput of the adaptive control CRE when using the optimal parameters determined as described in Section 4.1, i.e., α = 0.4, CSOlow = 3 dB, and CSOhigh = 12 dB, compared with the conventional method and HomoNet. For the conventional method, five kinds of fixed CSO are set: CSO = 0, 3, 6, 9, and 12 dB. The CSOhigh can be greater than that in single-band HetNet because there is no interference between macrocell and picocells. The blue and orange bars show the average and 5-percentile user throughput, respectively.

Comparison with Conventional Method
The average user throughput decreases according to the increase in the CSO from 0 to 12 dB in the conventional CRE method. By increasing the CSO up to 6 dB, the 5-percentile user throughput increases, although the average user throughput decreases. When CSO is more than 6 dB, the conventional method degrades both the average and 5-percentile user throughput. The reason for this phenomenon is the same as in single-band HetNet. Adaptive control CRE can improve the 5percentile user throughput by 8% while maintaining the average user throughput compared with those of conventional method (CSO of 6 dB), as shown in Figure 10. Compared with a CSO of 0 dB, the proposed method can improve 5-percentile user throughput by 1.4 times approximately, although the average user throughput slightly decreases.
As shown in Figures 8 and 10, the average user throughput slightly decreases as the CSO increases. However, the performance behavior in user throughput depends on the number of UE installations in the microcell or macro sector, and the type of UE distribution such as cluster distribution and uniform distribution. The system bandwidth of the picocell, i.e., the number of radio resources, also affects the performance behavior in user throughput. If the signal bandwidth of the picocell is wider than that of the microcell, the performance behavior in average user throughput is different from the results as shown in Figures 8 and 10. In ref. [29], it is shown that average user throughput increases as the CSO increases up to a certain value. In this paper, it is assumed that the signal bandwidth of picocell is the same as that of microcell, and the number of UE is relatively high, For the conventional method, five kinds of fixed CSO are set: CSO = 0, 3, 6, 9, and 12 dB. The CSO high can be greater than that in single-band HetNet because there is no interference between macrocell and picocells. The blue and orange bars show the average and 5-percentile user throughput, respectively.
The average user throughput decreases according to the increase in the CSO from 0 to 12 dB in the conventional CRE method. By increasing the CSO up to 6 dB, the 5-percentile user throughput increases, although the average user throughput decreases. When CSO is more than 6 dB, the conventional method degrades both the average and 5-percentile user throughput. The reason for this phenomenon is the same as in single-band HetNet. Adaptive control CRE can improve the 5-percentile user throughput by 8% while maintaining the average user throughput compared with those of conventional method (CSO of 6 dB), as shown in Figure 10. Compared with a CSO of 0 dB, the proposed method can improve 5-percentile user throughput by 1.4 times approximately, although the average user throughput slightly decreases.
As shown in Figures 8 and 10, the average user throughput slightly decreases as the CSO increases. However, the performance behavior in user throughput depends on the number of UE installations in the microcell or macro sector, and the type of UE distribution such as cluster distribution and uniform distribution. The system bandwidth of the picocell, i.e., the number of radio resources, also affects the performance behavior in user throughput. If the signal bandwidth of the picocell is wider than that of the microcell, the performance behavior in average user throughput is different from the results as shown in Figures 8 and 10. In ref. [29], it is shown that average user throughput increases as the CSO increases up to a certain value. In this paper, it is assumed that the signal bandwidth of picocell is the same as that of microcell, and the number of UE is relatively high, such as 30 per macro sector. Therefore, the average user throughput slightly decreases as the CSO increases.

Conclusions
In this paper, we have proposed a personal picocell scheme using an adaptive control CRE technique in which different CSOs are assigned to UE to form an optimal picocell for each UE.
First, we described the concept and architecture of the proposed personal picocell scheme in HetNets and compared with the conventional CRE, and we described the principle and connection sequence of the adaptive control CRE that uses two different CSOs: CSO high and CSO low . Then, we presented the parameter optimization and user throughput of the adaptive control CRE for single-band and multi-band HetNets by using system-level computer simulations.
From these simulation results, we confirmed that the adaptive control CRE can improve the 5-percentile user throughput by 5% and 8% while maintaining the average user throughput compared with conventional CRE for single-band HetNet and multi-band HetNet, respectively.
In our future work, we will investigate uplink user throughput and discuss the benefits of the proposed scheme. Furthermore, we will investigate user throughput for the increase of the system bandwidth of picocell, as well as the optimization for resource sharing between micro and picocells.