RETRACTED ARTICLE: Energy efficient IRS assisted 6G network for Industry 5.0

The real world applications are more prone to difficulties of challenges due to fast growth of technologies and inclusion of artificial intelligence (AI) based logical solutions. The massive internet-of-things (IoT) devices are involved in number of Industry 5.0 applications like smart healthcare, smart manufacturing, smart agriculture, smart transportation. Advanced wireless techniques, customization of services and different technologies are experiencing a major transformation. The desire to increase the communication reliability without adding energy overhead is the major challenge for massive IoT enabled networks. To cope up with the above challenges, Industry 5.0 requirements needs to be monitored at the remote level which again adds on the communication challenge. Use of relays in 6G based wireless networks is denied due to high requirement of energy. Therefore in this paper, Intelligent reflecting surfaces (IRSs) assisted energy constrained 6G wireless networks are studied. To provide seamless connection between the communicating mobile nodes, IRS with an array of reflecting elements are configured in the system set up. A use-case scenario of IRS enabled network in Internet-of-Underwater things (IoUT) for smart ocean transportation is also provided. The IRS assisted wireless network is evaluated for target rates achieved. A power consumption model of the IRS supported system is also proposed to optimise the energy efficiency of the system. Further, the paper evaluates the impact of number of reflecting elements N on the IRS and the phase resolution b of each element on the system performance. The energy efficiency improves by 20% for IRS with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$N=100$$\end{document}N=100 with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$b=2$$\end{document}b=2 over IRS with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$b=1$$\end{document}b=1.

The real world applications are more prone to difficulties of challenges due to fast growth of technologies and inclusion of artificial intelligence (AI) based logical solutions.The massive internetof-things (IoT) devices are involved in number of Industry 5.0 applications like smart healthcare, smart manufacturing, smart agriculture, smart transportation.Advanced wireless techniques, customization of services and different technologies are experiencing a major transformation.The desire to increase the communication reliability without adding energy overhead is the major challenge for massive IoT enabled networks.To cope up with the above challenges, Industry 5.0 requirements needs to be monitored at the remote level which again adds on the communication challenge.Use of relays in 6G based wireless networks is denied due to high requirement of energy.Therefore in this paper, Intelligent reflecting surfaces (IRSs) assisted energy constrained 6G wireless networks are studied.To provide seamless connection between the communicating mobile nodes, IRS with an array of reflecting elements are configured in the system set up.A use-case scenario of IRS enabled network in Internet-of-Underwater things (IoUT) for smart ocean transportation is also provided.The IRS assisted wireless network is evaluated for target rates achieved.A power consumption model of the IRS supported system is also proposed to optimise the energy efficiency of the system.Further, the paper evaluates the impact of number of reflecting elements N on the IRS and the phase resolution b of each element on the system performance.The energy efficiency improves by 20% for IRS with N = 100 with b = 2 over IRS with b = 1.Industry 5.0 aims for synergy between humans and machines while Industry 4.0 is about process automation without the human involvement.The efficiency of the process is increased through pairing of human brainpower with intelligent systems 1 .The collaboration of human race with smart machines results in value added industrial process with reduced cost and waste.To meet the ever-growing market demands, the manufacturers are trying hard to make the production lines smart, intelligent and flexible resulting in an integrated advanced industrial process.The use of IoT in the industrial control has transformed the physical systems into cyber-physical systems (CPS) 2 .The exchange of real-time information through the massive IoT in the CPS communicating with each other require efficient and reliable communication framework.
The use of emerging technologies like AI, machine learning, blockchain empowers intelligence into the network which can be exploited for wide range of IoT applications scenarios.The potential of explainable AI (XAI) for efficient decision making is very useful for beyond 5G and 6G use case scenarios 3 .To assist the Industry 5.0 applications with spontaneous delivery of customised products, supporting technologies of digital twins, edge computing, Internet-of-Everything (IoE) play an important role 4 .Industry 5.0 applications of smart manufacturing, smart supply chain management, cloud management involve large number of communicating and control nodes which require efficient coordination and synchronization.To support the interaction between the massive IoT nodes, the demand of fast internet and network reliability has increased 5 .The technological advancements in wireless communication including the sixth generation (6G) wireless networks have paved the way for providing communication reliability 6 .6G provides extended 5G capabilities such as low latency (in milliseconds), high data rate (in terabytes per second), high energy efficiency and network reliability 7,8 .With the emergence of such requirements and due to network vulnerability, the security of the 6G networks is of major concern 9 .The physical layer security (PLS) has become an integral part of 6G networks.The existing PLS techniques such as cooperative jamming, artificial noise-aided beamforming and relaying jamming suffer from major challenges of energy cost and computational complexity 10 .This has led to a new research paradigm for secure communication which is cost-effective, computation-intensive and energy-efficient.With the development of Micro-Electro-Mechanical Systems (MEMS) and metamaterials technology, the Intelligent reflecting surfaces (IRSs) come out to be an active enabler of physical layer security in wireless communication systems [11][12][13] .IRSs are special surfaces with artificial thin films that can be mounted on existing infrastructures such as walls of buildings.IRSs consists of small passive reflecting elements that smartly tailor the radio propagation environment.The signal strength at the receiver can be enhanced or weakened by adjusting the phase-shifts introduced by the reflecting elements of IRS.The desired signal is made to beamform in the direction of receiver while interfering signal is attenuated 14 .Since they are passive devices they consume no power and are completely different from beamforming, relaying and other signal processing which consumes sufficient amount of power 15 .The technologies for advanced future 6G wireless networks such as multi-input-multi-output (MIMO), massive MIMO, small cell networks, mmWave communication suffer from the challenges of hardware complexity, increased energy consumption, high path loss, poor scattering and high implementation cost 16,17 .IRS overcome these challenges and with no implementation and energy cost, they serve as key candidates for future sustainable green wireless networks 18 .IRS has the great potential to improve the complexity and security of wireless communication.The reflect arrays increase the signal quality by smartly adjusting the phase shifts of the passive reflecting elements 19 .The literature has number of papers that evaluate the performance of IRS-assisted wireless communication through a number of performance evaluation parameters.For example, Huang et al. 20 has proposed to enhance the system sum rate with the use of intelligent mirrors in a multi-input-single-output system without any additional power consumption.Huang et al. 21,22 aim for maximization of energy efficiency of the system for a multi-user communication scenario assisted by IRS.Basar 23 has proposed the use of IRS as an access point (AP) and evaluated the symbol error probability (SEP) using received signal-to-noise ratio(SNR).Zhou et al. 24 investigates the MISO communication system for outage probability and propose a robust transmission framework considering channel state information (CSI) error.The joint optimization of transmit beamforming at the antenna arrays and passive beamforming at the IRS phase shifters is investigated in 25,26 with transmit power constraints.Wu and Zhang 27 has compared the performance of IRS-assisted network with finite adjustable discrete phase shifts for square power gain over IRS network with continuous phase shifts.Zhao et al. 28 has proposed a low complexity two-time scale transmission approach in which the system sum rate is maximized by optimizing the phase shifts at the IRS considering the statistical CSI of the radio propagation links.Zhao et al. 29 aims for beamforming optimization subject to the CSI errors such that the outage performance of the IRS-assisted downlink transmission is improved.The performance of active and passive beamforming in IRS assisted transmission is evaluated in 30 for energy harvesting enabled simultaneous wireless information and power transfer (SWIPT) system model.The optimization is aimed at maximizing the minimum SINR.The design of beamforming vector in the IRS-aided network subject to hardware impairments is emphasized on 31 The average power constraints of users in the active and passive beamforming types are jointly considered in 26,32,33 .The RIS architectures are highlighted in 34 which prompts the use of sparse channel sensors in the active RIS units.Also, Yu et al. 35 investigated the security schemes for networks assisted with IRS.
The impact of hardware impairments on the design of beamforming in the IRS aided communication is evaluated in 31 .A MISO communication scenario in the IRS network is optimized for performance parameter, achievable rate in 36 .You et al. 37 elaborated the significance of multi-beam training and single beam training for information transmission.The literature also includes the introduction of IRS in non-orthogonal multiple access (NOMA) networks [38][39][40][41] .IRS aided transmission design for NOMA communication is given in 38 .The authors in 39 elaborated the role of IRS for obtaining maximum system throughput by optimising the transmit power and time.Jiao et al. 40 worked on minimization of total power consumption by optimising the phase shifts induced by the IRS.The location of the IRS is optimized in 41 with the aim of maximizing the rate of strong user.The literature contains few papers 42,43 that discuss about signal processing in IRS with new precoding design in 42 and channel estimation scheme in 43 .Thus, signal processing in IRS is less explored area and can be taken up as a new research initiative.Table 1 summarizes the current state-of-art of IRS technology.
In this paper, the communication reliability of massive IoT nodes used in Industry 5.0 application scenarios is enhanced through 6G enabled IRS assisted communication.Considering a communication model in Fig. 1 in which multiple users are served by a multi-antenna base station.Due to the absence of direct line-of-sight (LoS) paths between the communicating users, IRS is installed on the direct paths between them.By smartly

Sum rate
The IRS technology is used for enhancing the network coverage in a multi-user communication scenario.The system sum rate is maximized through the optimization of reflection coefficients and power allocation coefficients 45

Spectral efficiency, energy efficiency
The effect of hardware impairments on the performance of IRS-aided system is evaluated.The error due to phase shifts is also considered to carry out the system spectral efficiency and energy efficiency analysis 46

Outage probability
The wireless transfer of energy from a source is considered here for an IRS-assisted system configured with double IRSs.The power efficiency is enhanced with the use of optimal number of reflecting elements and optimal phase shifts such that the total power consumption is minimised.The outage probability is evaluated for the considered IRS system for different fading models under energy harvesting paradigm.The comparison with single IRS-aided system is also performed 47

Secrecy energy efficiency
This highlights the use of multiple IRSs to enable secure wireless communication with minimum energy consumption.By optimising the reflection coefficients and active beamforming, the tradeoff between total power consumption and secrecy rate is obtained 48

Sum rate
The use of multiple IRSs in UAV system is investigated such that maximum sum rate is achieved with the optimization of UAV altitude and the IRS association.The phase shift design for multi-IRS is also proposed to improve the system sum rate

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adjusting the phase-shifts of the IRS reflecting elements, the waves incident on the IRS can be made to reflect in the direction of the desired user.IRS with reflecting elements of finite phase resolution introduce sufficient phase shift so as to align the incident signal in the desired direction.The system model considered in this paper is evaluated for target rates achieved, total power consumption and energy efficiency.The variation in system parameters with change in number of reflecting elements on the IRS and phase resolution of the elements is also plotted.The system performance is further compared with system without using IRS and system using a decode-and-forward (DF) relay.
Our contributions.It is very challenging to support the various IoT application scenarios with the current wireless networks due to the involvement of large number of IoT nodes interacting with each other in real-time.
The next generation 6G wireless networks aim to provide seamless network connectivity and communication reliability.A practical system model is proposed in this paper which achieves optimum performance with the use of IRS, thus enabling sustainable green communication.The paper summarizes its novel contributions as follows.
• A wireless communication network is considered in which IRS with passive reflecting elements reconfigure the radio propagation characteristics to enable reliable communication between the end nodes.It offers LoS direct communication paths to serve the communicating nodes.• The system model is evaluated for target rate achieved as proved by mathematical analysis in Section "System model".A power consumption model is also proposed for the IRS assisted network which takes into account the transmit power as well as the circuit power consumption as discussed in subsection A of Section "System model".Using this model, energy efficiency is evaluated in subsection B. • The impact of number of reflecting elements N on the IRS and the phase resolution of the elements b on different system parameters is studied and plotted.The variation in N and b are shown in our practical implementation which offers improvement in data rates, energy efficiency and transmit power consumption.• The proposed IRS assisted system model is compared for performance evaluation with a system without IRS and a system using a DF relay as shown in Section "Comparision with relay-assisted transmission and direct transmission".• The application of IRS-aided communication in smart ocean transportation is also demonstrated as a use case.
• The proposed communication framework utilising IRS enables reliable communication and offers huge energy savings to support real time 6G enabled applications.
Paper organization.The organization of the paper includes description of system model in Section "System model" along with the mathematical analysis for performance evaluation.Section "Comparision with relayassisted transmission and direct transmission" covers the comparative analysis of the proposed transmission scheme with the other two transmission methods.The results are presented in Section 4 with the detailed discussion.The paper is finally concluded in Section 5. Table 2 presents the variables used throughout the paper.

System model
A communication network is considered in which large number of users are served by a multi-antenna BS.The BS has M antenna elements which give service to K number of mobile users equipped with single antenna.The communication from BS to the kth user is assisted by IRS with N reflecting elements.The IRS is deployed on

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the facade of a nearby high rise building for communication with the end nodes.The low-cost, passive reflecting units introduce effective phase shifts into the incoming signal so as to get a constructive reflected beam at the desired user.Thus, IRS reconfigure the signal propagation environment to achieve the desired transmission objectives.Suppose the channel between the BS and the kth user is denoted by h 1k while the channel between IRS and the kth user is represented as h 2k .Also, H represents the channel between IRS and the BS.The channel matrices are modelled as independent and identically distributed random variables with zero mean and variance as a function of pathloss.It is assumed that there is no correlation between any pair of coefficients of the channel matrices.The received signal at the kth user is given as where x is the transmitted signal and z k is the noise vector at the kth user with zero mean and variance σ 2 .The IRS properties are represented by a diagonal matrix given by where A ∈ (0, 1] is the reflection coefficient [3] with fixed amplitude and θ 1, ......... .θ N denote the angles specify- ing the induced phase shifts of the N reflecting elements.The effective phase shift induced by the nth reflecting element of the IRS θ n is given by where q is the phase shifting index and b represents the phase resolution in number of bits.Thus, for each IRS element, there are total of 2 b different phase shifting values.The transmitted signal is given by Here, p k is the transmit power, w k is the precoding vector, s k is the information symbol for kth user.The signal from the multi-antenna BS follows the transmit power constraint where W = [w 1 , w 2 . . . . . . . . . . . .w N ] , P = diag(p 1 , p 2 . . . . . . . . . . . . . . . . . .p K ) and tr(.) is the trace operator.
The performance of IRS-assisted system is evaluated in terms of achievable sum rate which is obtained as

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where ϒ k is the Signal-to-Interference-plus-Noise ratio (SINR) Power consumption model.To assist the downlink transmission from BS to the kth user through the use of IRS, a power consumption model is proposed in this section.For the IRS-aided multi-user system, the total power consumption is evaluated.The power required for data transmission is the transmit power P t that depends on the number of user nodes to be served in the system.The circuit power P CKT is dependent on the associated circuitry at the transmitter (BS) and receiver(user equipment (UE)) terminals and IRS.This includes the power amplifiers, local oscillators, analog-to-digital converters (ADC), digital-to-analog converters (DAC) and phase shifters.The total power consumed P T is the sum of transmission power P t and circuit power P CKT .It is given by The transmit power is expressed as where η is the efficiency of power amplifier and p k is the signal power allocated for the kth user.The circuit power is the sum of power consumed by all the circuit components at the BS, user nodes and the IRS.
Further, the power consumed by the circuitry in IRS is a function of number of reflecting elements in the IRS and the resolution of the phase shifting elements.
P n is the power consumed by each phase shifter in the IRS.Thus, the total power is Energy efficiency.Another important parameter to evaluate the system performance is the energy efficiency which is dependent on system bandwidth B, achievable sum rate R and total power consumption P T as defined below:

Comparision with relay-assisted transmission and direct transmission Direct transmission. Considering downlink transmission model, the signal transmitted to the kth user is
The sum rate achieved in this direct transmission is given by Relay-assisted transmission.Here, the communication between BS and the users is assisted by a cooperative decode-and-forward (DF) relay.The relay are low cost nodes which acts as repeater or amplifier to support the reliable transmission.It involves two-phase transmission model where BS transmits in the first phase which is received by the kth user and the relay as follows  www.nature.com/scientificreports/Further, the relay receives the signal z 1R N 0, σ 2 is the receiver noise at relay.In the second phase, the relay decodes the information from y 1R , which is again encoded and transmitted.The signal received by the kth user in the second phase is given by The sum rate achieved by the relay-assisted system is

Results and discussion
The communication model considered in this paper is simulated in MATLAB and the results are presented here.
The average number of realizations taken for each simulation point is 10 4 .The set up for simulation is shown in Fig. 2 where it is assumed that the base station (source) is at a distance D from the IRS whose location is fixed.
The users are mobile and their location is tracked by a variable d while d min is the minimum distance of any user from the BS.Table 3 contains the parameters used for simulations.Figure 3 evaluates the different communication scenarios for achievable rate as a function of distance d.The system utilizing IRS (with different phase resolutions) for transmission is compared with the system without IRS and the system incorporating a DF relay in place of IRS.The IRS-assisted transmission system achieves the maximum rate with 2-bit phase resolution.It is observed that changing the phase resolution from 1 to 2 increases the system rate by 13.4% at d of 80 m.The relay based transmission system outperforms the system transmitting directly by achieving a target rate of 3.8 bits/s/Hz.In the IRS-supported communication, the rate achieved is found to be directly proportional to N and this variation is depicted in Fig. 4.This is attributed to high spatial degrees of freedom offered with large N.More the number of reflecting elements, more the data rate achieved.The rate achieved is 1.12 bits/s/Hz for N = 25 and 3.88 bits/s/Hz for N = 150 with 1-bit phase resolution.The phase resolution of the reflecting elements also play an important role.IRS with 2-bit phase resolution elements achieves more rate as compared to IRS with 1-bit phase resolution elements.
Based on the power consumption model discussed in the previous section, the transmit power consumption of the IRS-assisted network is evaluated and plotted in Fig. 5.The variation depicts the dependence on number of reflecting elements N, phase resolution of IRS elements b and the target rates R to be achieved.The power (18)

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consumed is less for small system rates with more number of IRS elements with low-bit resolution phase shifters.The power needed is least ( −0.0377 dBm) for N = 150 with b = 1 to achieve R = 4 bits/s/Hz while highest power(20.678dBm) is consumed to achieve R = 6 bits/s/Hz for N = 25 with b = 2 .For a particular data rate, the power requirement becomes 30% more with 2-bit phase resolution IRS elements than 1-bit IRS elements.
The EE performance of the IRS-controlled communication network is evaluated in Fig. 6 for different reflecting elements on the IRS with different phase resolution.The energy efficiency initially increases with increase in the number of reflecting elements N (for small value of N).But after that it decreases with increase in the number of reflecting elements.Also, IRS elements with 2-bit phase resolution achieve more energy efficiency for low values of transmit SNR.For high values of transmit SNR, the IRS elements with 1-bit resolution are more energyefficient.Table 4 summarizes the values of energy efficiency obtained for different number of IRS reflecting elements for different achievable rates.The comparison of EE performance of different communication scenarios is highlighted in Fig. 7.The system with relay based transmission outperforms the IRS-assisted transmission system and direct transmission system performance in terms of energy efficiency.The direct transmission yields better energy efficiency for small data rates.

Smart ocean transportation: a use-case of IRS aided communication.
Underwater communication applications supporting massive IoUT devices or connecting nodes rely on intelligent and interrupted communication.Smart ocean transportation is one such application in which a large number of interconnected machines, IoUT devices, sensors work in synchronization to achieve the optimum performance.For huge data flow between the massive intermediate working nodes or to achieve real-time communication between them, the network reliability or communication reliability is very important.Fault tolerance and reliability are very important in underwater applications.High path loss, multi-path fading and number of obstacles in communication medium has made the LoS communication almost impractical.However, the introduction of IRS as an enabler for reliable communication for smart ocean is a new research direction which offers advanced solutions (intelligent freight verification, handling shipment sizes, automated tracking, assisted or flexible assembly, cargo delivery, support system for preventing illicit usage).The communication network assisted by IRS controls the propagation environment smartly with the use of cost effective reflecting elements.These elements perform effective phase shifting in the incoming signal to reach the desired destination.IRSs can be located on the sea shore, can be mounted on the facade of buildings near sea shore, ships, AUVs and even on drones or unmanned aerial vehicles (UAVs).It enables reliable and seamless communication network by providing LoS channels or paths between the end nodes.Climate monitoring, harbor monitoring, disaster prediction, natural turbulence,   www.nature.com/scientificreports/pollution control and military surveillance are some of the important applications of IRS enabled underwater communication.A use case scenario is shown in Fig. 8. IRS communication supports the real-time information flow between the various nodes about the freight details or cargo size to be conveyed to the different processing verticles of smart ocean unit.In the IRS-aided network, though the LoS communication is exploited, yet the challenge of meeting the energy requirements of these applications need to be addressed.Thus, this paper addresses the optimization of energy efficiency (EE) to enable real-time communication.

Conclusion
The potential of 6G enabled IRS is evaluated for providing energy efficient solutions for Industry 5.0 applications.One important application of IRS-assisted communication in smart ocean transportation is also presented as a use case scenario.IRSs are intelligent reflecting surfaces with large number of reflecting elements each with a finite resolution that performs effective phase shifting on the incoming signal so as to beamform it in the direction of desired user.An IRS-assisted system model is considered and evaluated for maximum achievable rate.Further, a power consumption model for this system is proposed in order to achieve optimal energy efficiency.
The impact of number of reflecting elements N and the phase resolution of each reflecting element b on the system performance is also highlighted.It is observed that an IRS with 2-bit phase resolution provides more energy efficiency as compared to IRS element with 1-bit resolution for small values of transmit SNR.An IRS with N = 100 with 2-bit phase resolution, the system energy efficiency improves by 20% over IRS with 1-bit phase resolution.

Figure 1 .
Figure 1.Model of IRS-assisted communication with multi-antenna BS and multiple users.

Figure 2 .
Figure 2. Simulation setup for IRS assisted transmission.

Figure 3 .Figure 4 .Figure 5 .
Figure 3.The rate achieved in the system with distance d for different communication scenarios.

Figure 6 .
Figure 6.Energy efficiency performance of IRS-assisted network with transmit SNR for different N and b.

Figure 7 .
Figure 7. Energy efficiency for different communication scenarios for different achievable rates.

Figure 8 .
Figure 8. IRS assisted communication in smart ocean transportation: a use case scenario.

Table 1 .
Current state-of-art of IRS technology.

Table 2 .
List of variables.

Table 3 .
Parameters used for simulations.

Table 4 .
Variation of energy efficiency with different N for different achievable rates.