# Wireless Resource Management and Resilience Optimization of the M2M-Oriented Mobile Communication System

Authors: Li Liao; Chengjun Ji
Journal: Journal of Sensors
 (2021)

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## Abstract

Machine-to-machine (M2M) communication technology is an emerging technology that can connect smart wireless devices. The most obvious feature of M2M is that the communication between devices does not require human intervention. Therefore, ensuring the low-energy consumption of M2M devices is a necessary condition for prolonging the survival time of their devices. This paper first considers the coexistence of M2M and H2H scenarios. Aimed at the energy efficiency of M2M equipment and the channel capacity of H2H equipment, a multiobjective problem is constructed for joint spectrum and power resource management, and a weighted Chebyshev algorithm is proposed to solve this problem. Secondly, in view of the additional interference problems caused by the introduction of M2M communication, the intercell cooperative link selection algorithm is used to optimize its resilience. The effectiveness of the algorithm is proven by simulation results.


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## Body

## 1. Introduction

The development of wireless communication technology and people’s needs complement each other. Compared with the existing 4G (4th generation) technology, the upcoming 5G (5th generation) technology will provide higher transmission rate, lower transmission delay, and higher user satisfaction [1, 2]. Machine-to-machine communication (M2M) technology is not only the key component of Internet of things technology but also the basis of realizing information society. Therefore, this paper focuses on M2M technology [3, 4].M2M uses sensor and other technologies to enable wireless communication equipment to have the ability of autonomous communication [5]. The biggest feature of this technology is that it does not need human intervention. Therefore, it can be applied to a variety of scenarios, such as intelligent transportation system, intelligent monitoring system, medical system, public security monitoring, and electronic meter reading [6]. These application scenarios are composed of a large number of mobile devices, and different devices have different quality of service, which will cause huge traffic consumption. According to literature [7], it is predicted that the total number of connections of M2M devices in 2022 will increase to 18 billion compared with the current total number of connections of M2M devices, accounting for 61% of the total accessible communication devices. Therefore, in the face of such a large number of M2M devices, people have paid more and more attention to their size, power, and cost. M2M technology and human-to-human communication (HTC) technology are different. The research focus of HTC technology is mainly to improve the user’s transmission rate and reduce the delay, and the number of devices is far less than the number of M2M devices. When MTC devices and HTC devices coexist in the same cellular network and compete for spectrum resources together, the traditional communication quality between people will be affected by MTC. Therefore, in the future 5G ultradense M2M scenario and the network where MTC and HTC coexist, how to ensure the performance of MTC equipment without affecting the performance of HTC equipment is an important problem to be solved at this stage [8].At the same time, in order to meet the QoS requirements of such large-scale M2M devices, it is necessary to effectively allocate the current wireless resources. Therefore, this paper proposes a new wireless resource management scheme. Secondly, for the additional interference caused by the introduction of M2M communication, it is necessary to provide corresponding wireless resource management and interference coordination strategies to optimize the system performance.


## 2. Related Knowledge

### 2.1. M2M

The network architecture of M2M specified by the technical committee of the European Telecommunications Standards Association is shown in Figure1. M2M transfers data from one terminal to another, that is, the dialogue between machines. For example, access control cards for work, bar code scanning in supermarkets, and NFC mobile payment are more popular recently. Key M2M elements in the figure include the following: M2M device, M2M area network (device domain) providing connection between the M2M device and M2M gateway, personal local area network, M2M gateway using the M2M function to ensure interworking and interconnection between the M2M device and communication network, M2M communication network providing communication between the M2M gateway and M2M application, and M2M application program included in the application layer [9]. For M2M applications, their data passes through various applications and is processed and used by a specific business processing engine. M2M equipment forms an M2M regional network. Its applicable scenarios include not only small home networks but also larger scenarios, such as factory environment.Figure 1
Network architecture of M2M.For the network architecture in Figure1, the M2M device can be connected to the M2M server through WAN connection or M2M gateway. A gateway is an intelligent M2M device, which can easily collect and process data from M2M devices and manage their operations.


### 2.2. Research on M2M Wireless Resource Management

Different from the traditional communication system, in M2M communication, a large number of devices with multiple quality of service requirements access the network, which brings great challenges to resource allocation. At present, a large number of literatures have studied the radio resource management of M2M communication which is different from H2H communication, mainly including access control, spectrum allocation, and power control. This paper mainly focuses on spectrum allocation and power control [10].At present, there are many possible architectures for M2M communication. Document [11] proposes three architectures, including direct communication between M2M devices and ENB, multihop transmission by gateway, and end-to-end transmission between M2M devices.Because the uplink communication adopts single carrier frequency division multiple access (FDMA) multiple access mode, when M2M equipment communicates directly with ENB, the allocated frequency domain resource blocks are required to be continuous, which increases the difficulty of resource allocation. C-FDMA single-carrier frequency division multiple access (single-carrier frequency division multiplexing) is the mainstream multiple access in the uplink of LTE. SC-FDMA is a single-carrier modulation mode. The basic processing methods can be divided into dft-s-gmc and dft-s-ofdm. In Reference [12], resource block allocation is transformed into resource block mode allocation, and the optimization problem is solved by combining the Lagrange dual method and ellipsoid method. According to the multiservice characteristics of M2M equipment, document [13] divides resource allocation into two steps. Firstly, the equipment is graded according to the equipment type and the allowable length of residual delay, and the equipment that can be scheduled is selected. Then, the appropriate resource block is selected according to the channel conditions of the equipment in different frequency bands. In Reference [14], user terminal equipment (UE) and M2M equipment are put into two queues, respectively, and the calculation formula of proportional fair scheduling algorithm is improved. This method not only considers the current channel conditions but also takes into account QoS and waiting delay. Based on this, they proposed a new scheduling algorithm. Both algorithms give M2M devices lower priority and ensure the performance of H2H communication when a large number of M2M devices join. However, in the case of heavy H2H load, these two methods can easily make it difficult for M2M equipment to communicate for a long time.According to the mass characteristics of M2M devices, packet transmission of M2M devices is a good idea. Each section of information, together with the call control signal and verification information required for exchange, is arranged into a message packet according to the specified format. A packet is transmitted as a whole in the network, with high utilization of communication resources, which greatly improves the capacity and throughput of the channel. Document [15] proposes to group M2M devices and uses the traditional uplink spectrum resource allocation method for spectrum selection between groups and ordinary H2H devices. Device-to-device (D2D) communication is adopted in the group, and nonorthogonal spectrum is used with H2H equipment. In order to reduce the interference of M2M equipment to H2H equipment, the whole problem is modeled as a bipartite graph, and the KM algorithm is used to allocate resources. Reference [16] uses a similar architecture, uses the KM algorithm to realize resource allocation in the case of M2M/H2H shared spectrum, and performs power control based on the interference level reflected by the proportional integral derivative (PID) controller. However, at present, most M2M devices do not support D2D communication, resulting in limited application scenarios. Document [17] proposes a nonorthogonal resource allocation method. M2M devices conduct random access in groups. Devices belonging to different groups can use the same group of resource blocks to improve spectral efficiency and adopt a continuous interference cancellation method to reduce interference. Literature [18] combines access control and resource allocation to reduce energy consumption and completes the determination of grouping, team leader selection, resource allocation, and packet size.In addition, M2M equipment can also communicate with UE. Reference [19] proposed a distributed resource allocation method. Using the matching principle, the M2M device can negotiate with the UE device and give the UE certain compensation in exchange for the access of the subchannel. Document [20] proposes to use UE as the gateway of M2M equipment. In the first stage, the M2M device transmits the information to the corresponding UE. In the second stage, the UE transmits the information of the M2M device and its own information to the base station. By solving the optimization problem and setting the appropriate transmission power, the power consumption of M2M equipment is minimized on the premise of meeting the delay constraint, so as to improve the network lifetime of M2M equipment.


### 2.3. Optimize Interference and Signal Fading

Signal fading [21] and interference [22–24] are two important problems encountered in the design of the mobile communication system. Fading results in the reduction of coverage and reliability of point-to-point communication links. The existence of interference limits the reusability of wireless resources, thus limiting the improvement of spectral efficiency (BPS/Hz/area) per unit area [25]. In view of these two important problems, combined with the development process and trend of the mobile communication network, this section summarizes the research status of the M2M mobile communication scenario and the development trend of related mobile communication technologies.As shown in Figure2, in the mobile communication network based on intercell cooperation, it is assumed that the base stations are connected to each other through a backhaul network without delay and capacity limitation. Under this assumption, the base stations can share the global channel state information and all data information of their users. In this scenario, multibase station cooperation actually regards the whole multicell network as a large multiuser multiple input multiple output (MIMO) system [26, 27]. Therefore, the multibase station joint signal processing algorithm can eliminate interference, so as to greatly improve the system capacity [28–30].Figure 2
Cooperative multicell system model.


## 2.1. M2M

The network architecture of M2M specified by the technical committee of the European Telecommunications Standards Association is shown in Figure1. M2M transfers data from one terminal to another, that is, the dialogue between machines. For example, access control cards for work, bar code scanning in supermarkets, and NFC mobile payment are more popular recently. Key M2M elements in the figure include the following: M2M device, M2M area network (device domain) providing connection between the M2M device and M2M gateway, personal local area network, M2M gateway using the M2M function to ensure interworking and interconnection between the M2M device and communication network, M2M communication network providing communication between the M2M gateway and M2M application, and M2M application program included in the application layer [9]. For M2M applications, their data passes through various applications and is processed and used by a specific business processing engine. M2M equipment forms an M2M regional network. Its applicable scenarios include not only small home networks but also larger scenarios, such as factory environment.Figure 1
Network architecture of M2M.For the network architecture in Figure1, the M2M device can be connected to the M2M server through WAN connection or M2M gateway. A gateway is an intelligent M2M device, which can easily collect and process data from M2M devices and manage their operations.


## 2.2. Research on M2M Wireless Resource Management

Different from the traditional communication system, in M2M communication, a large number of devices with multiple quality of service requirements access the network, which brings great challenges to resource allocation. At present, a large number of literatures have studied the radio resource management of M2M communication which is different from H2H communication, mainly including access control, spectrum allocation, and power control. This paper mainly focuses on spectrum allocation and power control [10].At present, there are many possible architectures for M2M communication. Document [11] proposes three architectures, including direct communication between M2M devices and ENB, multihop transmission by gateway, and end-to-end transmission between M2M devices.Because the uplink communication adopts single carrier frequency division multiple access (FDMA) multiple access mode, when M2M equipment communicates directly with ENB, the allocated frequency domain resource blocks are required to be continuous, which increases the difficulty of resource allocation. C-FDMA single-carrier frequency division multiple access (single-carrier frequency division multiplexing) is the mainstream multiple access in the uplink of LTE. SC-FDMA is a single-carrier modulation mode. The basic processing methods can be divided into dft-s-gmc and dft-s-ofdm. In Reference [12], resource block allocation is transformed into resource block mode allocation, and the optimization problem is solved by combining the Lagrange dual method and ellipsoid method. According to the multiservice characteristics of M2M equipment, document [13] divides resource allocation into two steps. Firstly, the equipment is graded according to the equipment type and the allowable length of residual delay, and the equipment that can be scheduled is selected. Then, the appropriate resource block is selected according to the channel conditions of the equipment in different frequency bands. In Reference [14], user terminal equipment (UE) and M2M equipment are put into two queues, respectively, and the calculation formula of proportional fair scheduling algorithm is improved. This method not only considers the current channel conditions but also takes into account QoS and waiting delay. Based on this, they proposed a new scheduling algorithm. Both algorithms give M2M devices lower priority and ensure the performance of H2H communication when a large number of M2M devices join. However, in the case of heavy H2H load, these two methods can easily make it difficult for M2M equipment to communicate for a long time.According to the mass characteristics of M2M devices, packet transmission of M2M devices is a good idea. Each section of information, together with the call control signal and verification information required for exchange, is arranged into a message packet according to the specified format. A packet is transmitted as a whole in the network, with high utilization of communication resources, which greatly improves the capacity and throughput of the channel. Document [15] proposes to group M2M devices and uses the traditional uplink spectrum resource allocation method for spectrum selection between groups and ordinary H2H devices. Device-to-device (D2D) communication is adopted in the group, and nonorthogonal spectrum is used with H2H equipment. In order to reduce the interference of M2M equipment to H2H equipment, the whole problem is modeled as a bipartite graph, and the KM algorithm is used to allocate resources. Reference [16] uses a similar architecture, uses the KM algorithm to realize resource allocation in the case of M2M/H2H shared spectrum, and performs power control based on the interference level reflected by the proportional integral derivative (PID) controller. However, at present, most M2M devices do not support D2D communication, resulting in limited application scenarios. Document [17] proposes a nonorthogonal resource allocation method. M2M devices conduct random access in groups. Devices belonging to different groups can use the same group of resource blocks to improve spectral efficiency and adopt a continuous interference cancellation method to reduce interference. Literature [18] combines access control and resource allocation to reduce energy consumption and completes the determination of grouping, team leader selection, resource allocation, and packet size.In addition, M2M equipment can also communicate with UE. Reference [19] proposed a distributed resource allocation method. Using the matching principle, the M2M device can negotiate with the UE device and give the UE certain compensation in exchange for the access of the subchannel. Document [20] proposes to use UE as the gateway of M2M equipment. In the first stage, the M2M device transmits the information to the corresponding UE. In the second stage, the UE transmits the information of the M2M device and its own information to the base station. By solving the optimization problem and setting the appropriate transmission power, the power consumption of M2M equipment is minimized on the premise of meeting the delay constraint, so as to improve the network lifetime of M2M equipment.


## 2.3. Optimize Interference and Signal Fading

Signal fading [21] and interference [22–24] are two important problems encountered in the design of the mobile communication system. Fading results in the reduction of coverage and reliability of point-to-point communication links. The existence of interference limits the reusability of wireless resources, thus limiting the improvement of spectral efficiency (BPS/Hz/area) per unit area [25]. In view of these two important problems, combined with the development process and trend of the mobile communication network, this section summarizes the research status of the M2M mobile communication scenario and the development trend of related mobile communication technologies.As shown in Figure2, in the mobile communication network based on intercell cooperation, it is assumed that the base stations are connected to each other through a backhaul network without delay and capacity limitation. Under this assumption, the base stations can share the global channel state information and all data information of their users. In this scenario, multibase station cooperation actually regards the whole multicell network as a large multiuser multiple input multiple output (MIMO) system [26, 27]. Therefore, the multibase station joint signal processing algorithm can eliminate interference, so as to greatly improve the system capacity [28–30].Figure 2
Cooperative multicell system model.


## 3. Method

### 3.1. M2M Resource Allocation Algorithm

In the scenario of direct connection between MTC equipment and base station, MTC equipment and HTC equipment share the same frequency band resources, resulting in resource competition between the two system networks. At the same time, this paper maximizes the energy efficiency of MTC equipment and the rate of HTC equipment, so as to complete the reasonable allocation of bandwidth and power resources.The system model diagram of this paper is shown in Figure3. Suppose that there is only one base station (ENB) in this cell, and there are n MTC devices and M HTC devices in its coverage. These devices are randomly distributed in the cell, where the set of MTC devices is Ω=1,2,⋯,n and the set of HTC devices is Ξ=1,2,⋯,m. In this paper, it is assumed that all devices are directly connected to the base station for data transmission.Figure 3
System model.In this cell model, since the communication behavior of MTC equipment transmitting data mainly occurs in the uplink, the uplink is considered the main link. It is assumed that all access devices work in orthogonal frequency bands, so the interference between devices is ignored. The total shared bandwidth of all devices is set toBmax, and this paper assumes that the base station can obtain the global channel side information (CSI) of all devices. In this paper, the gain between the MTC device n and the base station can be expressed as
(1)dnαgn=hn.Similarly, the gain between the HTC devicem and the base station is expressed as
(2)dmαgm=hm.The signal propagating at multipath can reach the simultaneous interpretation of the field strength at the receiving point from different paths, and the delay time of each path is different. The superposition of the component waves in each direction produces a standing wave field strength, thus forming a fast fading signal, called Rayleigh fading, where HN represents that the variable has experienced slow fading and Rayleigh fading on the transmission link, DN represents the distance between MTC usern and the base station, and α is the path loss index.In order to balance the performance of MTC devices and HTC devices, we will construct a multiobjective optimization problem. Compared with the single-objective optimization problem which can only obtain the unique solution, it is more suitable to solve the Pareto optimal solution in the coexistence scenario of MTC and HTC. Therefore, the weighted Chebyshev method is used in this paper.The signal-to-noise ratio (SNR) of MTC equipment can be written as(3)pn−1γn=N0−1bn−1gn.Here,pn≥0 and bn≥0 represent the allocated transmission power and bandwidth of MTC device n in the uplink, respectively, and n represents the power spectral density of additive white Gaussian noise (AWGN).Therefore, the energy efficiency (EE) of a single MTC device can be expressed as(4)en=pn0log2γn+1bn.Here,rn represents the transmission bit rate from MTC device n to the base station. In addition, pn0=pn+pe, where pe represents the fixed power consumption.For HTC equipment, the uplink rate is also an important indicator in the future 5G communication. Therefore, the channel capacity requirements of HTC equipment are the focus of consideration. According to Shannon’s theorem, the bit rate of HTC equipmentm in the uplink can be written as follows:
(5)rm=bmlog2N0−1bn−1gn+1.pm=p1,p2,⋯p and bm=b1,b2,⋯,b are the optimized power and bandwidth variables of HTC devices, respectively. rm represents the uplink bit rate of each HTC device, and bm and pm represent the bandwidth and power allocated to each HTC device, respectively. gm represents the gain between HTC device m and base station.Before introducing the weighted Chebyshev algorithm, this section first needs to deal with the weight factor accordingly. When a large number of MTC devices are connected to the cell network, more subcarriers are allocated to MTC devices, which will seriously affect the QoS of HTC devices. To solve this situation, this paper defines the ratio of the total number of subcarriers required by MTC devices to the bandwidth of the whole network The value is its demand factorDFp. Then, the weight function of energy efficiency of MTC equipment Φ1ρ can be defined as follows:
(6)ϕ1ρ=1−expsp1−exps−1.Here,s is a parameter greater than 1, which affects the curve slope of the weight function, and is set here as Φ1ρ∈0,1, and the objective function increases with the increase in p. The gradient is a decreasing function, which shows that the sensitivity of the energy efficiency objective function of MTC equipment to a high DF factor is reduced. The energy consumption problem of MTC terminal can be solved by the communication unit deciding whether to enter the transmission state according to the relationship between the current channel signal-to-noise ratio and the preset threshold, which is obtained based on the maximum value of the energy efficiency function of MTC terminal. In addition, the weight function expression of HTC equipment can be calculated by Φ2ρ=1−Φ1ρ.For the two optimization objectives, finding the minimum value is the core idea of the weighted Chebyshev algorithm.(7)minp,bmaxn∈Ωϕ1−f1uϕ1∑rnpn−1,ϕ1−f2−uϕ2∑rm.Here,Φ1 and Φ2 represent the positive weight factors of energy efficiency and system capacity functions, respectively. For the sake of fairness, the value of each single objective function is divided by its ideal point for normalization.


### 3.2. Optimization of Interference and Fading Signals

OFDMA combines OFDM and FDMA technology. After subcarriering the channel with OFDM, different subcarrier resources are allocated to different users to achieve multiple access. Consider a downlink OFDMA network jointly processed by multiple base stations, which containsk cooperative cells, and M users are evenly distributed in each cell, as shown in Figure 4. In each cell, the system bandwidth is divided into a series of continuous subcarrier sets orthogonal to each other, and each subcarrier set forms a subchannel. Because the subcarriers of OFDM overlap in the frequency domain, there is no guard frequency. Users access different subchannels in different time slots to achieve multiple access. Therefore, in the ideal synchronization case, there will be no multiuser interference in each cell. In this paper, a subchannel and a corresponding time slot are combined and defined as a basic resource allocation unit (AU). Assuming that each AU can only be occupied by a unique user, interference free multiuser access can be realized through the division of frequency and time resources.Figure 4
Cooperative multicell network layout and user distribution.This paper considers two different physical frame structure models in the downlink OFDMA network, namely, ordinary physical frame and superframe. Each base station adopts different operations for radio resource management within and between cells under different frame structures. Suppose that when the working frequency band is divided into several continuous subchannels, the ordinary frame is composed of these subchannels and several continuous time slots. The super physical frame is composed of several time continuous ordinary frames.On anyAUn, the signal-to-interference noise ratio received by user m from its serving base station K and other adjacent base stations can be expressed by the following formula.
(8)SINRk,mn=hk,mn2N0pi−n∑i=1Kpinhi,mn2,where p represents the power of the transmitting base station K on the resource allocation unit (AUn) and N0 represents the power of the additive white Gaussian noise (AWGN). Hnim represents the complex channel response coefficient of the cofrequency interference channel on the AUn from the base station master to the user m in cell K.When the base station performs equal power allocation among AU in the physical frame, there are(9)pt=Npkn,where p represents the total transmission power of each base station and N represents the total number of radio resource allocation units (AU) contained in each physical frame.Therefore, for the scheduling userm working on the AUn in cell K, the downlink user rate can be expressed as follows:
(10)rk,mn=log21+hk,mn2N0pi−n∑i=1Kpinhi,mn2.Further, the total rate of scheduling userm in cell K can be expressed as
(11)Rk,mn=∑n∈Nlog21+SINRk,mn,where NT,m represents the AU set composed of all resource allocation units occupied by user m in cell K.By establishing intercell cooperative links to build a multicell joint signal processing system, interference can be eliminated and cooperation gain can be obtained. Therefore, the network capacity gain of establishing cooperative links can be modeled as follows:(12)benefit=r^k,mn−rk,mnr^k,pn,(13)r^k,mn=log2pknhk,mn2pin∑i=1Kpinhi,mn2+N0,(14)rk,mn=log2pknhk,mn2∑i=1Kpinhi,mn2+N0.


## 3.1. M2M Resource Allocation Algorithm

In the scenario of direct connection between MTC equipment and base station, MTC equipment and HTC equipment share the same frequency band resources, resulting in resource competition between the two system networks. At the same time, this paper maximizes the energy efficiency of MTC equipment and the rate of HTC equipment, so as to complete the reasonable allocation of bandwidth and power resources.The system model diagram of this paper is shown in Figure3. Suppose that there is only one base station (ENB) in this cell, and there are n MTC devices and M HTC devices in its coverage. These devices are randomly distributed in the cell, where the set of MTC devices is Ω=1,2,⋯,n and the set of HTC devices is Ξ=1,2,⋯,m. In this paper, it is assumed that all devices are directly connected to the base station for data transmission.Figure 3
System model.In this cell model, since the communication behavior of MTC equipment transmitting data mainly occurs in the uplink, the uplink is considered the main link. It is assumed that all access devices work in orthogonal frequency bands, so the interference between devices is ignored. The total shared bandwidth of all devices is set toBmax, and this paper assumes that the base station can obtain the global channel side information (CSI) of all devices. In this paper, the gain between the MTC device n and the base station can be expressed as
(1)dnαgn=hn.Similarly, the gain between the HTC devicem and the base station is expressed as
(2)dmαgm=hm.The signal propagating at multipath can reach the simultaneous interpretation of the field strength at the receiving point from different paths, and the delay time of each path is different. The superposition of the component waves in each direction produces a standing wave field strength, thus forming a fast fading signal, called Rayleigh fading, where HN represents that the variable has experienced slow fading and Rayleigh fading on the transmission link, DN represents the distance between MTC usern and the base station, and α is the path loss index.In order to balance the performance of MTC devices and HTC devices, we will construct a multiobjective optimization problem. Compared with the single-objective optimization problem which can only obtain the unique solution, it is more suitable to solve the Pareto optimal solution in the coexistence scenario of MTC and HTC. Therefore, the weighted Chebyshev method is used in this paper.The signal-to-noise ratio (SNR) of MTC equipment can be written as(3)pn−1γn=N0−1bn−1gn.Here,pn≥0 and bn≥0 represent the allocated transmission power and bandwidth of MTC device n in the uplink, respectively, and n represents the power spectral density of additive white Gaussian noise (AWGN).Therefore, the energy efficiency (EE) of a single MTC device can be expressed as(4)en=pn0log2γn+1bn.Here,rn represents the transmission bit rate from MTC device n to the base station. In addition, pn0=pn+pe, where pe represents the fixed power consumption.For HTC equipment, the uplink rate is also an important indicator in the future 5G communication. Therefore, the channel capacity requirements of HTC equipment are the focus of consideration. According to Shannon’s theorem, the bit rate of HTC equipmentm in the uplink can be written as follows:
(5)rm=bmlog2N0−1bn−1gn+1.pm=p1,p2,⋯p and bm=b1,b2,⋯,b are the optimized power and bandwidth variables of HTC devices, respectively. rm represents the uplink bit rate of each HTC device, and bm and pm represent the bandwidth and power allocated to each HTC device, respectively. gm represents the gain between HTC device m and base station.Before introducing the weighted Chebyshev algorithm, this section first needs to deal with the weight factor accordingly. When a large number of MTC devices are connected to the cell network, more subcarriers are allocated to MTC devices, which will seriously affect the QoS of HTC devices. To solve this situation, this paper defines the ratio of the total number of subcarriers required by MTC devices to the bandwidth of the whole network The value is its demand factorDFp. Then, the weight function of energy efficiency of MTC equipment Φ1ρ can be defined as follows:
(6)ϕ1ρ=1−expsp1−exps−1.Here,s is a parameter greater than 1, which affects the curve slope of the weight function, and is set here as Φ1ρ∈0,1, and the objective function increases with the increase in p. The gradient is a decreasing function, which shows that the sensitivity of the energy efficiency objective function of MTC equipment to a high DF factor is reduced. The energy consumption problem of MTC terminal can be solved by the communication unit deciding whether to enter the transmission state according to the relationship between the current channel signal-to-noise ratio and the preset threshold, which is obtained based on the maximum value of the energy efficiency function of MTC terminal. In addition, the weight function expression of HTC equipment can be calculated by Φ2ρ=1−Φ1ρ.For the two optimization objectives, finding the minimum value is the core idea of the weighted Chebyshev algorithm.(7)minp,bmaxn∈Ωϕ1−f1uϕ1∑rnpn−1,ϕ1−f2−uϕ2∑rm.Here,Φ1 and Φ2 represent the positive weight factors of energy efficiency and system capacity functions, respectively. For the sake of fairness, the value of each single objective function is divided by its ideal point for normalization.


## 3.2. Optimization of Interference and Fading Signals

OFDMA combines OFDM and FDMA technology. After subcarriering the channel with OFDM, different subcarrier resources are allocated to different users to achieve multiple access. Consider a downlink OFDMA network jointly processed by multiple base stations, which containsk cooperative cells, and M users are evenly distributed in each cell, as shown in Figure 4. In each cell, the system bandwidth is divided into a series of continuous subcarrier sets orthogonal to each other, and each subcarrier set forms a subchannel. Because the subcarriers of OFDM overlap in the frequency domain, there is no guard frequency. Users access different subchannels in different time slots to achieve multiple access. Therefore, in the ideal synchronization case, there will be no multiuser interference in each cell. In this paper, a subchannel and a corresponding time slot are combined and defined as a basic resource allocation unit (AU). Assuming that each AU can only be occupied by a unique user, interference free multiuser access can be realized through the division of frequency and time resources.Figure 4
Cooperative multicell network layout and user distribution.This paper considers two different physical frame structure models in the downlink OFDMA network, namely, ordinary physical frame and superframe. Each base station adopts different operations for radio resource management within and between cells under different frame structures. Suppose that when the working frequency band is divided into several continuous subchannels, the ordinary frame is composed of these subchannels and several continuous time slots. The super physical frame is composed of several time continuous ordinary frames.On anyAUn, the signal-to-interference noise ratio received by user m from its serving base station K and other adjacent base stations can be expressed by the following formula.
(8)SINRk,mn=hk,mn2N0pi−n∑i=1Kpinhi,mn2,where p represents the power of the transmitting base station K on the resource allocation unit (AUn) and N0 represents the power of the additive white Gaussian noise (AWGN). Hnim represents the complex channel response coefficient of the cofrequency interference channel on the AUn from the base station master to the user m in cell K.When the base station performs equal power allocation among AU in the physical frame, there are(9)pt=Npkn,where p represents the total transmission power of each base station and N represents the total number of radio resource allocation units (AU) contained in each physical frame.Therefore, for the scheduling userm working on the AUn in cell K, the downlink user rate can be expressed as follows:
(10)rk,mn=log21+hk,mn2N0pi−n∑i=1Kpinhi,mn2.Further, the total rate of scheduling userm in cell K can be expressed as
(11)Rk,mn=∑n∈Nlog21+SINRk,mn,where NT,m represents the AU set composed of all resource allocation units occupied by user m in cell K.By establishing intercell cooperative links to build a multicell joint signal processing system, interference can be eliminated and cooperation gain can be obtained. Therefore, the network capacity gain of establishing cooperative links can be modeled as follows:(12)benefit=r^k,mn−rk,mnr^k,pn,(13)r^k,mn=log2pknhk,mn2pin∑i=1Kpinhi,mn2+N0,(14)rk,mn=log2pknhk,mn2∑i=1Kpinhi,mn2+N0.


## 4. Results and Discussion

### 4.1. Performance Analysis in Orthogonal Resource Scenarios

The relationship between multiobjective function and demand factorp is simulated in Figure 5. In order not to lose generality, the energy efficiency of MTC and the channel capacity of HTC are normalized, respectively. The channel varies randomly, and the values vary from large to small, so the normalization of channel coefficients is for better data comparison. The number of three services of MTC equipment is nSM,nEA,nRM=4,4,2. As shown in Figure 5, when the demand factor p changes from 0.3 to 0.9, the energy efficiency of the normalized MTC equipment continues to increase. This is because the higher the weight factor of MTC devices, the higher their priority to obtain band resources. On the contrary, the channel capacity of the normalized HTC device decreases with the increase in P. This is because fewer subcarrier resources are allocated to HTC devices. It is worth noting that even when p is very high, the normalized energy efficiency value will not increase sharply, which is conducive to protecting the QoS of HTC equipment from changing too fast.Figure 5
Relationship between multiobjective function and demand factor.The relationship between MTC energy efficiency and HTC energy efficiency and the number of equipment users served by RM is discussed in Figure6. The increasing number of users means that the overall QoS requirements of the MTC system are improving. Therefore, it can be seen from the curve in the figure that as the proportion of service devices gradually increases, the bandwidth available for HTC devices gradually decreases. Therefore, the optimal value of HTC channel capacity calculated by the KM algorithm and its ideal point are in a downward trend. In addition, by observing the curve in the figure, we can know that the optimal value of MTC channel capacity and its ideal point are also in a downward trend. This is because MTC equipment improves its ability to obtain power resources to meet high QoS requirements, thus reducing the energy efficiency value of the system. As a comparison with the algorithm in this paper, the performance of the weighted sum (WS) algorithm is also reflected in this figure. Assuming that the weight ratio of the two objective functions of the weighted sum algorithm is also 1 : 1, it can be seen from the comparison curve in the figure that when the weighted sum algorithm is adopted, the MTC energy efficiency and HTC channel capacity curve decrease or increase significantly with the change of the number of devices. Using this algorithm, we can see that the fluctuation range of these two curves is not large. The weighted Chebyshev method is an iterative multivariable optimization method based on the Remez exchange algorithm, which can be used for polynomial interpolation. The corresponding interpolation polynomials can minimize the Runge phenomenon and provide the best uniform approximation of polynomials in continuous functions. It can be seen that the weighted Chebyshev algorithm adopted in this paper to solve the multiobjective optimization problem can better reflect the fairness of the compromise between the two objective functions than the weighted sum algorithm, which is more in line with the scene in the actual network.Figure 6
Relationship between multiobjective optimization value and the number of conventional monitoring service equipment.The effectiveness of the proposed multiobjective optimization algorithm under different user equipment scenarios is proven in Figure7. It can be seen from the figure that with the increasing number of users n, the curve of the ideal point and the optimization curve obtained by the KM algorithm are in an increasing trend. Therefore, in the scenario of different numbers of users, the multiobjective optimization algorithm proposed in this paper still has good applicability, which is more suitable for the actual needs of future wireless networks.Figure 7
Relationship between multiobjective optimization value and total number of MTC equipment.Figure8 shows the trade-off between energy efficiency and channel capacity in the scenario of 8 users, 5 users, and 3 users. When the demand factor P changes from 0.65 to 0.9, the Pareto optimal solution of HTC equipment and MTC equipment changes. The Pareto optimal state is that there is no more room for Pareto improvement; that is, Pareto improvement is the path and method to achieve the Pareto optimal. The curve of the former shows a downward trend, and the curve of the latter shows an upward trend. This is because with the increase in P, MTC devices have higher priority in obtaining bandwidth and spectrum resources. Similarly, when p decreases, the curve in the graph will show the opposite trend. In short, in the actual scenario, according to the demand factor of MTC equipment, network managers can balance the system performance of MTC and HTC by adjusting the weight function.Figure 8
Pareto optimal solution.


### 4.2. Performance Analysis under the Interference Scenario

In performance analysis under the interference scenario in Figure9, the performance of the weighted Chebyshev algorithm used in this paper is compared with that of the traditional weighted sum algorithm, the weight factor is set as Φ1=Φ2=Φ3=0.33, and the algorithm of three targets is normalized. As can be seen from the figure, when the weighted Chebyshev algorithm is adopted, the normalized value of MTC interference to ENB is reduced by 2%. In contrast, for different numbers of users, when using the weighted sum algorithm, the optimal channel capacity of HTC equipment is close to its ideal point value 1, which is much higher than that obtained by using the weighted Chebyshev algorithm. However, the optimization performance of MTC equipment is much lower than that of the weighted Chebyshev algorithm.Figure 9
Relationship between normalized values of three objective functions and the number of users.


### 4.3. Optimized Performance Analysis

Figure10(a) shows the relationship between the change of user QoS requirements and the change of network average throughput and compares the impact of the change of cell average number of users on throughput. It can be seen that with the increase in user QoS requirements, the average throughput of the cell also increases gradually. However, when the average number of users per cell increases, the average cell throughput decreases. Moreover, with the increase in user QoS requirements, this difference becomes more and more obvious. This is because there are too many users, resulting in fierce competition among users in the cell, and the available wireless resources are quickly allocated, making it difficult to maintain user demand.Figure 10
Performance analysis of multiple indicators.
(a)
Relationship between cell average throughput and user QoS(b)
Relationship between user satisfaction and user QoSFigure10(b) shows the relationship between the change of user QoS requirements and user satisfaction in the same case. It can be seen that when the user QoS is generally low, most users can meet their communication quality requirements regardless of the total number of users. However, with the increase in user QoS demand, the user dissatisfaction of cells with high user density increases sharply compared with cells with low user density. Figures 10(a) and 10(b) also show that relying solely on wireless resource management and user scheduling is difficult to meet the large number of users and high user communication requirements.Figure11(a) describes the relationship between the average cell throughput and the user QoS requirements. The results show that with the improvement of user QoS requirements, the performance of the three algorithms shows an upward trend. The performance of the proposed algorithm is between the other two, because the proposed algorithm is limited by the backhaul network capacity, and there is a trade-off between throughput performance and backhaul network consumption. The problem of limited backhaul link capacity is common in cellular communication systems, which is also the bottleneck to realize the potential performance gain of downlink comp.Figure 11
Relationship between average network throughput performance and backhaul network capacity consumption and user requirements.
(a)
Relationship between average network throughput and user QoS(b)
Relationship between backhaul network capacity consumption and user QoSThe backhaul network is the return line of the line. Generally, the end users have a large download service and a small amount of uplink data. The throughput reflects the amount of data that can actually pass through the network and receive the backhaul network capacity limit. Figure11(b) compares the backhaul network capacity consumption of the two algorithms in Figure 11(a). The global cooperation algorithm works better under the nonconvex setting, but it depends on the global learning rate. It can be seen that with the increase in user QoS requirements, the backhaul network communication pressure caused by the global cooperation algorithm increases approximately linearly, and the consumption is too large. Relatively speaking, the algorithm proposed in this paper maintains the performance improvement of the whole network brought by cooperation.


## 4.1. Performance Analysis in Orthogonal Resource Scenarios

The relationship between multiobjective function and demand factorp is simulated in Figure 5. In order not to lose generality, the energy efficiency of MTC and the channel capacity of HTC are normalized, respectively. The channel varies randomly, and the values vary from large to small, so the normalization of channel coefficients is for better data comparison. The number of three services of MTC equipment is nSM,nEA,nRM=4,4,2. As shown in Figure 5, when the demand factor p changes from 0.3 to 0.9, the energy efficiency of the normalized MTC equipment continues to increase. This is because the higher the weight factor of MTC devices, the higher their priority to obtain band resources. On the contrary, the channel capacity of the normalized HTC device decreases with the increase in P. This is because fewer subcarrier resources are allocated to HTC devices. It is worth noting that even when p is very high, the normalized energy efficiency value will not increase sharply, which is conducive to protecting the QoS of HTC equipment from changing too fast.Figure 5
Relationship between multiobjective function and demand factor.The relationship between MTC energy efficiency and HTC energy efficiency and the number of equipment users served by RM is discussed in Figure6. The increasing number of users means that the overall QoS requirements of the MTC system are improving. Therefore, it can be seen from the curve in the figure that as the proportion of service devices gradually increases, the bandwidth available for HTC devices gradually decreases. Therefore, the optimal value of HTC channel capacity calculated by the KM algorithm and its ideal point are in a downward trend. In addition, by observing the curve in the figure, we can know that the optimal value of MTC channel capacity and its ideal point are also in a downward trend. This is because MTC equipment improves its ability to obtain power resources to meet high QoS requirements, thus reducing the energy efficiency value of the system. As a comparison with the algorithm in this paper, the performance of the weighted sum (WS) algorithm is also reflected in this figure. Assuming that the weight ratio of the two objective functions of the weighted sum algorithm is also 1 : 1, it can be seen from the comparison curve in the figure that when the weighted sum algorithm is adopted, the MTC energy efficiency and HTC channel capacity curve decrease or increase significantly with the change of the number of devices. Using this algorithm, we can see that the fluctuation range of these two curves is not large. The weighted Chebyshev method is an iterative multivariable optimization method based on the Remez exchange algorithm, which can be used for polynomial interpolation. The corresponding interpolation polynomials can minimize the Runge phenomenon and provide the best uniform approximation of polynomials in continuous functions. It can be seen that the weighted Chebyshev algorithm adopted in this paper to solve the multiobjective optimization problem can better reflect the fairness of the compromise between the two objective functions than the weighted sum algorithm, which is more in line with the scene in the actual network.Figure 6
Relationship between multiobjective optimization value and the number of conventional monitoring service equipment.The effectiveness of the proposed multiobjective optimization algorithm under different user equipment scenarios is proven in Figure7. It can be seen from the figure that with the increasing number of users n, the curve of the ideal point and the optimization curve obtained by the KM algorithm are in an increasing trend. Therefore, in the scenario of different numbers of users, the multiobjective optimization algorithm proposed in this paper still has good applicability, which is more suitable for the actual needs of future wireless networks.Figure 7
Relationship between multiobjective optimization value and total number of MTC equipment.Figure8 shows the trade-off between energy efficiency and channel capacity in the scenario of 8 users, 5 users, and 3 users. When the demand factor P changes from 0.65 to 0.9, the Pareto optimal solution of HTC equipment and MTC equipment changes. The Pareto optimal state is that there is no more room for Pareto improvement; that is, Pareto improvement is the path and method to achieve the Pareto optimal. The curve of the former shows a downward trend, and the curve of the latter shows an upward trend. This is because with the increase in P, MTC devices have higher priority in obtaining bandwidth and spectrum resources. Similarly, when p decreases, the curve in the graph will show the opposite trend. In short, in the actual scenario, according to the demand factor of MTC equipment, network managers can balance the system performance of MTC and HTC by adjusting the weight function.Figure 8
Pareto optimal solution.


## 4.2. Performance Analysis under the Interference Scenario

In performance analysis under the interference scenario in Figure9, the performance of the weighted Chebyshev algorithm used in this paper is compared with that of the traditional weighted sum algorithm, the weight factor is set as Φ1=Φ2=Φ3=0.33, and the algorithm of three targets is normalized. As can be seen from the figure, when the weighted Chebyshev algorithm is adopted, the normalized value of MTC interference to ENB is reduced by 2%. In contrast, for different numbers of users, when using the weighted sum algorithm, the optimal channel capacity of HTC equipment is close to its ideal point value 1, which is much higher than that obtained by using the weighted Chebyshev algorithm. However, the optimization performance of MTC equipment is much lower than that of the weighted Chebyshev algorithm.Figure 9
Relationship between normalized values of three objective functions and the number of users.


## 4.3. Optimized Performance Analysis

Figure10(a) shows the relationship between the change of user QoS requirements and the change of network average throughput and compares the impact of the change of cell average number of users on throughput. It can be seen that with the increase in user QoS requirements, the average throughput of the cell also increases gradually. However, when the average number of users per cell increases, the average cell throughput decreases. Moreover, with the increase in user QoS requirements, this difference becomes more and more obvious. This is because there are too many users, resulting in fierce competition among users in the cell, and the available wireless resources are quickly allocated, making it difficult to maintain user demand.Figure 10
Performance analysis of multiple indicators.
(a)
Relationship between cell average throughput and user QoS(b)
Relationship between user satisfaction and user QoSFigure10(b) shows the relationship between the change of user QoS requirements and user satisfaction in the same case. It can be seen that when the user QoS is generally low, most users can meet their communication quality requirements regardless of the total number of users. However, with the increase in user QoS demand, the user dissatisfaction of cells with high user density increases sharply compared with cells with low user density. Figures 10(a) and 10(b) also show that relying solely on wireless resource management and user scheduling is difficult to meet the large number of users and high user communication requirements.Figure11(a) describes the relationship between the average cell throughput and the user QoS requirements. The results show that with the improvement of user QoS requirements, the performance of the three algorithms shows an upward trend. The performance of the proposed algorithm is between the other two, because the proposed algorithm is limited by the backhaul network capacity, and there is a trade-off between throughput performance and backhaul network consumption. The problem of limited backhaul link capacity is common in cellular communication systems, which is also the bottleneck to realize the potential performance gain of downlink comp.Figure 11
Relationship between average network throughput performance and backhaul network capacity consumption and user requirements.
(a)
Relationship between average network throughput and user QoS(b)
Relationship between backhaul network capacity consumption and user QoSThe backhaul network is the return line of the line. Generally, the end users have a large download service and a small amount of uplink data. The throughput reflects the amount of data that can actually pass through the network and receive the backhaul network capacity limit. Figure11(b) compares the backhaul network capacity consumption of the two algorithms in Figure 11(a). The global cooperation algorithm works better under the nonconvex setting, but it depends on the global learning rate. It can be seen that with the increase in user QoS requirements, the backhaul network communication pressure caused by the global cooperation algorithm increases approximately linearly, and the consumption is too large. Relatively speaking, the algorithm proposed in this paper maintains the performance improvement of the whole network brought by cooperation.


## 5. Conclusion

Firstly, this paper considers the coexistence of M2M and H2H and considers the allocation and management of band resources and power resources. A multiobjective problem is constructed for joint spectrum and power resource management, and the complex optimization problem is transformed into a single objective optimization problem that can be solved directly by the weighted Chebyshev algorithm. Secondly, in view of the additional interference caused by the introduction of M2M communication, an intercell cooperative link selection algorithm is proposed, which not only eliminates the interference and improves the rate but also effectively reduces the network capacity requirements of wireless resource management. From the performance simulation results, it can be seen that under the resource management of the proposed algorithm, MTC and HTC systems can coexist fairly. Moreover, the proposed scheme shows performance advantages in user fairness, average network throughput, and communication pressure relief for the backhaul network and maximizes performance gain by minimizing network redundancy overhead.



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*Source: 9596606-2021-12-17.xml*