WO2023020080A1 - Wireless communication system assisted by intelligent reflecting surface - Google Patents

Wireless communication system assisted by intelligent reflecting surface Download PDF

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Publication number
WO2023020080A1
WO2023020080A1 PCT/CN2022/097839 CN2022097839W WO2023020080A1 WO 2023020080 A1 WO2023020080 A1 WO 2023020080A1 CN 2022097839 W CN2022097839 W CN 2022097839W WO 2023020080 A1 WO2023020080 A1 WO 2023020080A1
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Prior art keywords
access point
hybrid access
uplink
smart
beamforming
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PCT/CN2022/097839
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French (fr)
Chinese (zh)
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伍楷舜
罗胜
车越岭
王晓桐
山岩
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深圳大学
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Publication of WO2023020080A1 publication Critical patent/WO2023020080A1/en

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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/06Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
    • H04B7/0615Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
    • H04B7/0617Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal for beam forming
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/04013Intelligent reflective surfaces
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/08Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station
    • H04B7/0891Space-time diversity
    • H04B7/0897Space-time diversity using beamforming per multi-path, e.g. to cope with different directions of arrival [DOA] at different multi-paths
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L41/00Arrangements for maintenance, administration or management of data switching networks, e.g. of packet switching networks
    • H04L41/14Network analysis or design
    • H04L41/145Network analysis or design involving simulating, designing, planning or modelling of a network
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W84/00Network topologies
    • H04W84/02Hierarchically pre-organised networks, e.g. paging networks, cellular networks, WLAN [Wireless Local Area Network] or WLL [Wireless Local Loop]
    • H04W84/04Large scale networks; Deep hierarchical networks
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02DCLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
    • Y02D30/00Reducing energy consumption in communication networks
    • Y02D30/70Reducing energy consumption in communication networks in wireless communication networks

Definitions

  • the present invention relates to the technical field of wireless communication, and more particularly, to a wireless communication system assisted by an intelligent reflecting surface.
  • the smart reflective surface is a low-cost plane composed of multiple passive passive reflective elements, which can simultaneously reflect uplink and downlink signals. And because the smart reflective surface is lightweight, it can be easily integrated into the surface of a building or a moving object. At the same time, only the phase or amplitude of the smart reflector needs to be modulated to enable the receiving end to receive signals better and improve the communication quality.
  • the document "Optimized energy and information relaying in self-sustainable irs-empowered wpcn" proposes a H-AP (hybrid access point) containing a single antenna and multiple A wireless communication system for wireless devices with a single antenna.
  • This paper proposes a scheme of time switching and power distribution, where the IRS can harvest energy from the signal of the H-AP by switching between energy harvesting and signal reflection in the TS scheme or adjusting its reflection amplitude in the PS.
  • the document "Intelligent reflecting surface assisted wireless powered communication networks” proposes a wireless communication system including a multi-antenna H-AP and multiple single-antenna wireless devices. Provide additional links by constructing beamforming between H-AP and wireless devices, and then maximize the transmission rate by optimizing the phase matrix of energy harvesting and information transmission.
  • the purpose of the present invention is to overcome the defects of the above-mentioned prior art, and provide a wireless communication system assisted by an intelligent reflective surface, which includes an intelligent reflective surface IRS, a hybrid access point H-AP and a user terminal, wherein the hybrid access point is set N T antennas are used to transmit signals to users.
  • the intelligent reflector is equipped with M reflection units, and the reflection units are used to reflect and transmit the signal from the hybrid access point H-AP to the user.
  • the user end is set to K with a single antenna.
  • the energy beamforming of the hybrid access point H-AP in the downlink phase, the information receiving beamforming of the hybrid access point H-AP in the uplink phase, and the phase shift and time allocation of the energy and information transmission of the intelligent reflector are constructed.
  • Joint optimization problem P1 to maximize the uplink information transmission rate the joint optimization problem is expressed as:
  • ⁇ 0 is the downlink time for energy transmission
  • T is the sum of the time lengths
  • ⁇ D and ⁇ U respectively represent the smart reflective surface in Diagonal reflection coefficient matrices for downlink and uplink, for '#' ⁇ [D,U],m ⁇ 1,M ⁇ , Indicates the reflection angle and phase shift of the mth reflection unit of the smart reflection surface
  • ⁇ i represents the signal-to-interference-plus-noise ratio when the i-th wireless device at the user end transmits information to the hybrid access point H-AP during the uplink period
  • U represents uplink
  • D represents downlink
  • the present invention has the advantage that, in view of the relatively high loss or blockage in the path between the H-AP and the wireless device, by constructing a joint optimization problem, an intelligent reflective surface with a relatively small path loss is selected to be used To transmit signals or information to maximize the transmission rate of information, thereby improving the performance of the communication system.
  • Fig. 1 is a schematic diagram of a wireless communication system model assisted by an intelligent reflector according to an embodiment of the present invention
  • Fig. 2 is a schematic diagram of the throughput performance of multi-wireless devices as the transmission power changes according to an embodiment of the present invention
  • Fig. 3 is a schematic diagram of the throughput performance of multiple wireless devices as the number of smart reflective surface elements changes according to an embodiment of the present invention
  • Fig. 4 is a schematic diagram of the throughput performance of multi-wireless devices as the distance from the smart reflective surface to the H-AP changes according to an embodiment of the present invention
  • Fig. 5 is a schematic diagram of an optional communication system according to an embodiment of the present invention.
  • the scenario of the present invention is a wireless communication network with an intelligent reflector that contains multiple single-antenna wireless devices and a multi-antenna hybrid access point (H-AP, Hybrid access point), where the wireless devices will Harvesting energy from the H-AP via wireless signals, and then using the received energy to send information to the H-AP in the uplink phase.
  • H-AP hybrid access point
  • the wireless devices will Harvesting energy from the H-AP via wireless signals, and then using the received energy to send information to the H-AP in the uplink phase.
  • the provided wireless communication system based on the intelligent reflector includes a hybrid access point (H-AP), an intelligent reflector (IRS) and a user terminal, wherein the H-AP is equipped with NT antennas to utilize The antenna transmits the signal to the user; the smart reflector is equipped with M reflection units to use the reflection unit to reflect and transmit the signal from the H-AP to the user; the user end contains K wireless devices equipped with a single antenna to receive the signal from the H-AP Or the signal transmitted by the smart reflective surface, wherein NT , M and K are all integers greater than or equal to 2.
  • P is the transmission power of the signal
  • Indicates the channel vector from the H-AP directly to the i-th user represents the channel vector from the smart reflector directly to the i-th user
  • relative Indicates the channel vector from the i-th user to the H-AP
  • Indicates the channel vector from the i-th user to the smart reflector Indicates the channel matrix from the smart reflector to the H-AP.
  • the superscript H represents the conjugate transpose
  • the superscript T represents the transpose
  • the scalar x b represents the energy signal sent by the H-AP to the user
  • Represents the energy beamforming vector and satisfies ⁇ f ⁇ 1
  • the size of the signal received by the i-th user is:
  • is the variance of Gaussian noise
  • is the effective channel acquisition amount between the H-AP and the smart reflector.
  • ⁇ 1 represents the efficiency of energy harvesting.
  • the i-th device sends an information scalar to the H-AP
  • the signal size received by H-AP is:
  • n AP is the additive white Gaussian noise at the H-AP, and obeys the distribution
  • the signal-to-interference plus noise ratio when the i-th wireless device transmits information to the H-AP during the uplink is:
  • problem P1.1 is a convex optimization problem for ⁇ 0 , ⁇ 1 ⁇ , it can be solved using a standard convex optimization solution, such as CVX, using the Lagrange function form of problem P1.1 and KKT as condition, you can get:
  • Equation (7) proves that the optimal ⁇ 0 exists.
  • the optimal W value can be obtained by solving the following relaxation problem:
  • the optimal information receiving beamforming at the H-AP end can be obtained through Proposition 3.1, and the maximum eigenvalue of the Rayleigh quotient ⁇ i (w i ) can be proved at the same time.
  • Theorem 3.2 in problem P1.2 The largest eigenvalue of ⁇ i (w i ) is a convex function of w i for the pair of symmetric matrices ⁇ C i , D i ⁇ .
  • Proposition 3.1 The optimal information receiving beamforming at the optimal H-AP side is i ⁇ [1,K], where ⁇ i represents the corresponding eigenvector of the largest eigenvalue ⁇ i of the Rayleigh quotient ⁇ i (w i ).
  • ⁇ D is the eigenvector and eigenmatrix, so:
  • C′ ⁇ D -1/2 ⁇ D T
  • C ⁇ D ⁇ D -1/2 is a symmetric matrix
  • Theorem 3.2 The largest eigenvalue of ⁇ i (w i ) in problem P1.2 is a convex function about w i for the symmetric matrix pair ⁇ C i , D i ⁇ .
  • the largest eigenvalue of the symmetric matrix pair ⁇ C i ,D i ⁇ is a convex function for w i .
  • the optimal transmit beamforming f can be obtained by solving the following relaxation problem:
  • the main problem is decomposed into multiple sub-problems, and then a solution is provided for the sub-problems.
  • the optimization order of the parameters is ⁇ i ⁇ W ⁇ f ⁇ ⁇ D ⁇ ⁇ U .
  • the objective function of the main problem P1 is finite and non-decreasing.
  • Algorithm 1 gives the steps.
  • Algorithm 1 has the characteristics of low complexity, the problem P1 will reach the optimal solution within several convergences (such as 2-3 times).
  • ZFRB zero-forcing receive beamforming
  • the optimization problem of parameter ⁇ 1 is a convex optimization problem, so the existence of the optimal value of parameter ⁇ 1 can be easily proved by using the Lagrangian form of the problem and KKT conditions.
  • MRT (maximum-ratio-transmission, maximum ratio transmission) is configured on the H-AP.
  • the H-AP located at (0m, 0m) has 5 antennas.
  • the H-AP serves 3 wireless devices with a single antenna, and the wireless devices are randomly distributed in a circle with a radius of 10m at a distance of (200m, 10m) from the H-AP.
  • the smart reflector with 100 elements is at a distance of H-AP(200m, 0m).
  • the amplitude of the reflected signal of the smart reflector is related to the phase shift. For simplicity, this application does not consider the phase shift of the elements, and considers the reflection coefficients of the smart reflective surfaces to be the same.
  • Solution 1 A smart reflector is configured in the system, and the components of the smart reflector have random phase shifts, and a direct link between the H-AP and the wireless device is also available.
  • Scenario 2 The system is not equipped with a smart reflector, so it can only use the direct link connection between the H-AP and the wireless device to transmit the signal.
  • Solution 3 There is no direct link connection between the H-AP of the system and the wireless device, so the intelligent reflective surface can only be used to transmit signals.
  • FIG. 2 is a schematic diagram of the relationship between the transmission power variation and the throughput of a multi-radio device. It can be seen that as the transmit power at the H-AP increases, the signal received at the wireless device gradually increases, which allows the wireless device to obtain more energy to send information, so for all solutions, the system throughput The amount increases as the transmit power of the H-AP increases. But the throughput of solution 2 is relatively low, because the signal transmission is completed through the direct link with high path loss. For solution 1, although the components of the smart reflector adopt random phase shifts, since both the smart reflector and the direct link between the H-AP and the wireless device can be used for signal transmission, the throughput of solution 1 Performance is better than option 2.
  • Fig. 2 also shows that when applying MRT and ZFRB at the H-AP, two suboptimal solutions with low complexity are obtained for the proposed system. It can be noticed that the MRT based on the effective channel has a slightly better throughput performance than the MRT based on the smart reflector. As the transmit power increases, the ZFRB performance degrades due to the simpler direction design of the receive beamforming.
  • Figure 3 is a schematic diagram of the relationship between the number of smart reflector components and the throughput of multiple wireless devices.
  • the throughput during the period when the wireless device sends information to the H-AP in the wireless energy transmission network with the smart reflector is analyzed. It can be seen that with the increase of smart reflector elements, the throughput of the three schemes has a certain increase, because increasing the number of smart reflector elements can increase the received power of the wireless device within a given time. Therefore, the spectrum efficiency and energy collection efficiency of the system can be improved by increasing the components of the smart reflector.
  • Figure 4 analyzes the impact of the distance between the smart reflector and the H-AP on the system performance, reflecting the change in system performance when the distance between the smart reflector and the H-AP changes from 50m to 200m. It can be seen that the performance of all schemes improves when the smart reflective surface is brought closer to the wireless device.
  • the system model can be optimized, such as changing the hybrid access point H-AP in the system to separate and independent energy sending station and information receiving station, as shown in Figure 5, when using this communication model, the wireless device transmits from the energy The station receives energy and then sends information to the information receiving station. At this time, because the radio energy sent by the energy sending station may be lost on the path, multiple energy sending stations can be set to increase the energy received by the wireless device.
  • other solution methods may be used to obtain the solution of the constructed joint optimization problem.
  • the wireless communication system with IRS in the prior art is based on TDMA, which means that the wireless device will be allocated time slots to transmit information during the uplink phase, but in the communication system of this application, the wireless device simultaneously Sending information, so the information transmission rate and throughput are better than the existing schemes.
  • the present invention uses multi-antenna H-AP, so the signal strength received by the wireless device is higher than that of the single-antenna H-AP.
  • the present invention sets the receiving beamformer at the H-AP, the received signal strength at the H-AP of the present invention is also relatively high.
  • the invention optimizes the phase shift, the signal-to-interference-plus-noise ratio can be kept relatively low.
  • the optimization algorithm since the main problem of the present invention can use the proposed algorithm to complete convergence within a few steps, it has the advantage of fast convergence speed and can maximize system throughput.
  • the present invention can be a system, method and/or computer program product.
  • a computer program product may include a computer readable storage medium having computer readable program instructions thereon for causing a processor to implement various aspects of the present invention.
  • a computer readable storage medium may be a tangible device that can retain and store instructions for use by an instruction execution device.
  • a computer readable storage medium may be, for example, but is not limited to, an electrical storage device, a magnetic storage device, an optical storage device, an electromagnetic storage device, a semiconductor storage device, or any suitable combination of the foregoing.
  • Computer-readable storage media include: portable computer diskettes, hard disks, random access memory (RAM), read-only memory (ROM), erasable programmable read-only memory (EPROM), or flash memory), static random access memory (SRAM), compact disc read only memory (CD-ROM), digital versatile disc (DVD), memory stick, floppy disk, mechanically encoded device, such as a printer with instructions stored thereon A hole card or a raised structure in a groove, and any suitable combination of the above.
  • RAM random access memory
  • ROM read-only memory
  • EPROM erasable programmable read-only memory
  • flash memory static random access memory
  • SRAM static random access memory
  • CD-ROM compact disc read only memory
  • DVD digital versatile disc
  • memory stick floppy disk
  • mechanically encoded device such as a printer with instructions stored thereon
  • a hole card or a raised structure in a groove and any suitable combination of the above.
  • computer-readable storage media are not to be construed as transient signals per se, such as radio waves or other freely propagating electromagnetic waves, electromagnetic waves propagating through waveguides or other transmission media (e.g., pulses of light through fiber optic cables), or transmitted electrical signals.
  • Computer-readable program instructions described herein may be downloaded from a computer-readable storage medium to a respective computing/processing device, or downloaded to an external computer or external storage device over a network, such as the Internet, a local area network, a wide area network, and/or a wireless network.
  • the network may include copper transmission cables, fiber optic transmission, wireless transmission, routers, firewalls, switches, gateway computers, and/or edge servers.
  • a network adapter card or a network interface in each computing/processing device receives computer-readable program instructions from the network and forwards the computer-readable program instructions for storage in a computer-readable storage medium in each computing/processing device .
  • Computer program instructions for carrying out operations of the present invention may be assembly instructions, instruction set architecture (ISA) instructions, machine instructions, machine-related instructions, microcode, firmware instructions, state setting data, or Source or object code written in any combination, including object-oriented programming languages—such as Smalltalk, C++, Python, etc., and conventional procedural programming languages—such as the “C” language or similar programming languages.
  • Computer readable program instructions may execute entirely on the user's computer, partly on the user's computer, as a stand-alone software package, partly on the user's computer and partly on a remote computer, or entirely on the remote computer or server implement.
  • the remote computer can be connected to the user computer through any kind of network, including a local area network (LAN) or a wide area network (WAN), or it can be connected to an external computer (such as via the Internet using an Internet service provider). connect).
  • LAN local area network
  • WAN wide area network
  • an electronic circuit such as a programmable logic circuit, field programmable gate array (FPGA), or programmable logic array (PLA)
  • FPGA field programmable gate array
  • PDA programmable logic array
  • These computer-readable program instructions may be provided to a processor of a general purpose computer, special purpose computer, or other programmable data processing apparatus to produce a machine such that when executed by the processor of the computer or other programmable data processing apparatus , producing an apparatus for realizing the functions/actions specified in one or more blocks in the flowchart and/or block diagram.
  • These computer-readable program instructions can also be stored in a computer-readable storage medium, and these instructions cause computers, programmable data processing devices and/or other devices to work in a specific way, so that the computer-readable medium storing instructions includes An article of manufacture comprising instructions for implementing various aspects of the functions/acts specified in one or more blocks in flowcharts and/or block diagrams.
  • each block in a flowchart or block diagram may represent a module, a portion of a program segment, or an instruction that includes one or more Executable instructions.
  • the functions noted in the block may occur out of the order noted in the figures. For example, two blocks in succession may, in fact, be executed substantially concurrently, or they may sometimes be executed in the reverse order, depending upon the functionality involved.
  • each block of the block diagrams and/or flowchart illustrations, and combinations of blocks in the block diagrams and/or flowchart illustrations can be implemented by a dedicated hardware-based system that performs the specified function or action , or may be implemented by a combination of dedicated hardware and computer instructions. It is well known to those skilled in the art that implementation by means of hardware, implementation by means of software, and implementation by a combination of software and hardware are all equivalent.

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Abstract

Disclosed is a wireless communication system assisted by an intelligent reflecting surface. The system comprises an intelligent reflecting surface IRS, a hybrid access point H-AP and a user terminal, wherein the hybrid access point is provided with a plurality of antennas used for transmitting signals to a user, the intelligent reflecting surface is equipped with a plurality of reflective units, the reflective units are used to reflect and transmit the signals from the hybrid access point H-AP to the user, and the user terminal is provided with a plurality of wireless devices equipped with a single antenna so as to receive the signals transmitted from the hybrid access point H-AP or the intelligent reflecting surface. By means of constructing energy beamforming of the hybrid access point H-AP in a downlink phase, information receiving beamforming of the hybrid access point H-AP in an uplink phase, and a joint optimization problem of phase shift and time allocation of the intelligent reflecting surface during energy and information transmission, the uplink information transfer rate is maximized. The use of the present invention improves the throughput of a communication system, and the convergence speed of an algorithm optimization process is fast.

Description

一种智能反射面辅助的无线通信系统A wireless communication system assisted by an intelligent reflective surface 技术领域technical field
本发明涉及无线通信技术领域,更具体地,涉及一种智能反射面辅助的无线通信系统。The present invention relates to the technical field of wireless communication, and more particularly, to a wireless communication system assisted by an intelligent reflecting surface.
背景技术Background technique
在当代的移动通信技术中,大量互联网设备被连接到无线网络,因而高传输速率和低延时的网络设计已经成为信息时代的需求之一。目前,如多接入多输出的大规模天线技术或波束成形技术已经被应用到网络中以满足这一需求。但是这些技术无法有效处理信号传输路径中存在的一定阻塞或者高路径的损耗的情况。而传统的中继器方法由于对计算能力的需求较大,增加了整个通信系统的损耗。In contemporary mobile communication technology, a large number of Internet devices are connected to wireless networks, so network design with high transmission rate and low delay has become one of the demands of the information age. At present, large-scale antenna technology such as multiple access multiple output or beamforming technology has been applied to the network to meet this requirement. However, these technologies cannot effectively deal with certain blocking or high path loss in the signal transmission path. However, the traditional repeater method increases the loss of the entire communication system due to the large demand for computing power.
随着超材料和超平面的发展,配置无线信道并且能够受控的反射信号的智能反射面(IRS)已经成为解决这一问题的较好方案之一。智能反射面是一种低成本的由多个被动的无源反射元件组成的平面,可以同时反射上下行信号。并且由于智能反射面具有轻巧的特点,可以轻松集成到建筑物的表面或者移动的物体中。同时,只需要对智能反射面的相位或者幅度进行调制就可以使接收端更好的收到信号,提高了通信质量。With the development of metamaterials and hyperplanes, intelligent reflective surfaces (IRS) that configure wireless channels and can reflect signals in a controlled manner have become one of the better solutions to this problem. The smart reflective surface is a low-cost plane composed of multiple passive passive reflective elements, which can simultaneously reflect uplink and downlink signals. And because the smart reflective surface is lightweight, it can be easily integrated into the surface of a building or a moving object. At the same time, only the phase or amplitude of the smart reflector needs to be modulated to enable the receiving end to receive signals better and improve the communication quality.
在现有技术中,文献“Optimized energy and information relaying in self-sustainable irs-empowered wpcn”(DOI:10.1109/TCOMM.2020.3028875)提出了一种包含单天线的H-AP(混合接入点)和多个单天线的无线设备的无线通信系统。该文献提出了时间切换和功率分配的方案,其中IRS可以通过在TS方案中的能量收集和信号反射之间切换或在PS中调整其反射幅度来从H-AP的信号中收集能量。In the prior art, the document "Optimized energy and information relaying in self-sustainable irs-empowered wpcn" (DOI: 10.1109/TCOMM.2020.3028875) proposes a H-AP (hybrid access point) containing a single antenna and multiple A wireless communication system for wireless devices with a single antenna. This paper proposes a scheme of time switching and power distribution, where the IRS can harvest energy from the signal of the H-AP by switching between energy harvesting and signal reflection in the TS scheme or adjusting its reflection amplitude in the PS.
文献“Intelligent reflecting surface assisted wireless powered communication networks”(DOI:10.1109/WCNCW48565.2020.9124775)提出 了一种包含多天线的H-AP和多个单天线的无线设备的无线通信系统。通过构建H-AP到无线设备之间的波束成形来提供额外的链路,然后通过优化能量收集的相位矩阵和信息传输的相位矩阵来使传输速率最大化。The document "Intelligent reflecting surface assisted wireless powered communication networks" (DOI: 10.1109/WCNCW48565.2020.9124775) proposes a wireless communication system including a multi-antenna H-AP and multiple single-antenna wireless devices. Provide additional links by constructing beamforming between H-AP and wireless devices, and then maximize the transmission rate by optimizing the phase matrix of energy harvesting and information transmission.
在目前的5G时代,得益于许多关键技术如超密网络(UDN),大规模多输入多输出(MIMO),毫米波(mmWave)等,已经实现了超多设备的无线连接,但是在这种网络环境下,高能耗和高复杂度等问题仍未完全解决。此外,由于信号传播本身的随机性和不可控制性,在一些情况下,接入点和设备之间可能存在一定的阻塞。基于以上原因,采用了智能反射面(IRS),通过调整IRS元件的相位和振幅可以主动调整信号的传输,从而为信号传输开辟新的低损耗的路径,以提高无线链路的性能。现有的使用源中继或者反向散射通信来降低无线链路的方法与IRS相比都有一定的局限性。首先,源中继通常以半双工模式进行工作,而IRS不使用任何的发射模块,可以以全双工的方式工作,所以源中继在频谱效率或者技术成本上都不如IRS。其次,相对于反向散射通信,IRS本身并不发送自身的任何信息,而反向散射通信需要在接收端实现干扰的消除用于解码标签,所以在IRS辅助的通信环境下直接路径信号或者反射路径信号都可以携带相同的有用信息,可以在接收端相干增强解码的信号强度。然而,在H-AP和无线设备之间的路径存在较高损耗或者阻塞的情况下,目前基于智能反射面辅助的无线通信网络的性能还有待改进。In the current 5G era, thanks to many key technologies such as ultra-dense network (UDN), massive multiple-input multiple-output (MIMO), millimeter wave (mmWave), etc., the wireless connection of ultra-multiple devices has been realized, but in this In this network environment, problems such as high energy consumption and high complexity have not been fully resolved. In addition, due to the randomness and uncontrollability of signal propagation itself, in some cases, there may be certain blocking between the access point and the device. Based on the above reasons, an intelligent reflective surface (IRS) is used. By adjusting the phase and amplitude of the IRS components, the signal transmission can be actively adjusted, thereby opening up a new low-loss path for signal transmission to improve the performance of the wireless link. Existing methods of using source relay or backscatter communication to reduce wireless links have certain limitations compared with IRS. First of all, source relay usually works in half-duplex mode, while IRS does not use any transmitting module and can work in full-duplex mode, so source relay is not as good as IRS in terms of spectrum efficiency or technical cost. Secondly, compared with backscatter communication, IRS itself does not send any information of itself, and backscatter communication needs to eliminate interference at the receiving end to decode tags, so in the IRS-assisted communication environment, the direct path signal or reflection All path signals can carry the same useful information, which can coherently enhance the decoding signal strength at the receiving end. However, in the case of high loss or blockage in the path between the H-AP and the wireless device, the performance of the wireless communication network assisted by the smart reflector still needs to be improved.
发明内容Contents of the invention
本发明的目的是克服上述现有技术的缺陷,提供一种智能反射面辅助的无线通信系统,该系统包括智能反射面IRS、混合接入点H-AP和用户端,其中混合接入点设置N T根天线,用于传输信号给用户,智能反射面配备M个反射单元,利用反射单元将来自混合接入点H-AP的信号反射传输给用户,用户端设置为K个配备单天线的无线设备,以接收来自混合接入点H-AP或者智能反射面传送的信号; The purpose of the present invention is to overcome the defects of the above-mentioned prior art, and provide a wireless communication system assisted by an intelligent reflective surface, which includes an intelligent reflective surface IRS, a hybrid access point H-AP and a user terminal, wherein the hybrid access point is set N T antennas are used to transmit signals to users. The intelligent reflector is equipped with M reflection units, and the reflection units are used to reflect and transmit the signal from the hybrid access point H-AP to the user. The user end is set to K with a single antenna. Wireless devices to receive signals transmitted from hybrid access points H-AP or smart reflectors;
其中通过构建对下行阶段的混合接入点H-AP的能量波束成形、上行阶段的混合接入点H-AP的信息接收波束成形、智能反射面在能量和信息 传输的相移和时间分配的联合优化问题P1来最大化上行信息传输速率,该联合优化问题表示为:Among them, the energy beamforming of the hybrid access point H-AP in the downlink phase, the information receiving beamforming of the hybrid access point H-AP in the uplink phase, and the phase shift and time allocation of the energy and information transmission of the intelligent reflector are constructed. Joint optimization problem P1 to maximize the uplink information transmission rate, the joint optimization problem is expressed as:
Figure PCTCN2022097839-appb-000001
Figure PCTCN2022097839-appb-000001
其中,τ 0是用于能量传输的下行链路时间,τ 1=T-τ 0是用于信息传输的上行链路时间,T是时间长度总和,Θ D和Θ U分别表示智能反射面在下行链路和上行链路的对角反射系数矩阵,对于′#′∈[D,U],m∈{1,M},
Figure PCTCN2022097839-appb-000002
Figure PCTCN2022097839-appb-000003
表示智能反射面第m个反射单元的反射角度和相移,
Figure PCTCN2022097839-appb-000004
表示能量波束成形向量,混合接入点H-AP使用接收波束成形W=[w 1,…,w K] H,
Figure PCTCN2022097839-appb-000005
‖w i‖=1接收信息,γ i表示用户端的第i个无线设备在上行链路期间给混合接入点H-AP传输信息时的信号与干扰加噪声比,U表示上行,D表示下行,约束条件中的(1)表示式子τ 01=T。
Among them, τ 0 is the downlink time for energy transmission, τ 1 = T-τ 0 is the uplink time for information transmission, T is the sum of the time lengths, Θ D and Θ U respectively represent the smart reflective surface in Diagonal reflection coefficient matrices for downlink and uplink, for '#'∈[D,U],m∈{1,M},
Figure PCTCN2022097839-appb-000002
Figure PCTCN2022097839-appb-000003
Indicates the reflection angle and phase shift of the mth reflection unit of the smart reflection surface,
Figure PCTCN2022097839-appb-000004
Represents the energy beamforming vector, the hybrid access point H-AP uses receive beamforming W=[w 1 ,…,w K ] H ,
Figure PCTCN2022097839-appb-000005
‖w i ‖=1 to receive information, γ i represents the signal-to-interference-plus-noise ratio when the i-th wireless device at the user end transmits information to the hybrid access point H-AP during the uplink period, U represents uplink, and D represents downlink , (1) in the constraints represents the formula τ 01 =T.
与现有技术相比,本发明的优点在于,针对H-AP和无线设备之间的路径存在比较高的损耗或者阻塞的情况,通过构建联合优化问题,选择使用路径损耗比较小的智能反射面来传输信号或者信息来使得信息的传输速率最大化,从而提升了通信系统性能。Compared with the prior art, the present invention has the advantage that, in view of the relatively high loss or blockage in the path between the H-AP and the wireless device, by constructing a joint optimization problem, an intelligent reflective surface with a relatively small path loss is selected to be used To transmit signals or information to maximize the transmission rate of information, thereby improving the performance of the communication system.
通过以下参照附图对本发明的示例性实施例的详细描述,本发明的其它特征及其优点将会变得清楚。Other features of the present invention and advantages thereof will become apparent from the following detailed description of exemplary embodiments of the present invention with reference to the accompanying drawings.
附图说明Description of drawings
被结合在说明书中并构成说明书的一部分的附图示出了本发明的实施例,并且连同其说明一起用于解释本发明的原理。The accompanying drawings, which are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the description serve to explain the principles of the invention.
图1是根据本发明一个实施例的智能反射面辅助的无线通信系统模型示意图;Fig. 1 is a schematic diagram of a wireless communication system model assisted by an intelligent reflector according to an embodiment of the present invention;
图2是根据本发明一个实施例的随着发射功率变化的多无线设备的吞吐量表现示意图;Fig. 2 is a schematic diagram of the throughput performance of multi-wireless devices as the transmission power changes according to an embodiment of the present invention;
图3是根据本发明一个实施例的随着智能反射面元件数量变化的多无 线设备的吞吐量表现示意图;Fig. 3 is a schematic diagram of the throughput performance of multiple wireless devices as the number of smart reflective surface elements changes according to an embodiment of the present invention;
图4是根据本发明一个实施例的随着智能反射面到H-AP距离变化的多无线设备的吞吐量表现示意图;Fig. 4 is a schematic diagram of the throughput performance of multi-wireless devices as the distance from the smart reflective surface to the H-AP changes according to an embodiment of the present invention;
图5是根据本发明一个实施例的可选通信系统示意图;Fig. 5 is a schematic diagram of an optional communication system according to an embodiment of the present invention;
附图中,Transmit Power-发射功率;Throughput-吞吐量;Wireless Link-无线链路;Wired Link-有线链路;IRS Controller-IRS控制器;WET-无线能量传输;WIT-无线信息传输;Propose Scheme-本发明方案;Benchmark scheme I-基准方案1;Benchmark scheme II-基准方案2;Benchmark scheme III-基准方案3;effective link-有效信道;Number of IRS elements–IRS元件数量;Distance of IRS from H-AP-IRS和H-AP之间的距离。In the attached figure, Transmit Power-transmission power; Throughput-throughput; Wireless Link-wireless link; Wired Link-wired link; IRS Controller-IRS controller; WET-wireless energy transmission; WIT-wireless information transmission; Propose Scheme -the present invention scheme; Benchmark scheme I-baseline scheme 1; Benchmark scheme II-baseline scheme 2; Benchmark scheme III-baseline scheme 3; effective link-effective channel; Number of IRS elements-IRS component quantity; Distance of IRS from H- Distance between AP-IRS and H-AP.
具体实施方式Detailed ways
现在将参照附图来详细描述本发明的各种示例性实施例。应注意到:除非另外具体说明,否则在这些实施例中阐述的部件和步骤的相对布置、数字表达式和数值不限制本发明的范围。Various exemplary embodiments of the present invention will now be described in detail with reference to the accompanying drawings. It should be noted that the relative arrangements of components and steps, numerical expressions and numerical values set forth in these embodiments do not limit the scope of the present invention unless specifically stated otherwise.
以下对至少一个示例性实施例的描述实际上仅仅是说明性的,决不作为对本发明及其应用或使用的任何限制。The following description of at least one exemplary embodiment is merely illustrative in nature and in no way taken as limiting the invention, its application or uses.
对于相关领域普通技术人员已知的技术、方法和设备可能不作详细讨论,但在适当情况下,所述技术、方法和设备应当被视为说明书的一部分。Techniques, methods and devices known to those of ordinary skill in the relevant art may not be discussed in detail, but where appropriate, such techniques, methods and devices should be considered part of the description.
在这里示出和讨论的所有例子中,任何具体值应被解释为仅仅是示例性的,而不是作为限制。因此,示例性实施例的其它例子可以具有不同的值。In all examples shown and discussed herein, any specific values should be construed as exemplary only, and not as limitations. Therefore, other instances of the exemplary embodiment may have different values.
应注意到:相似的标号和字母在下面的附图中表示类似项,因此,一旦某一项在一个附图中被定义,则在随后的附图中不需要对其进行进一步讨论。It should be noted that like numerals and letters denote like items in the following figures, therefore, once an item is defined in one figure, it does not require further discussion in subsequent figures.
本发明的场景是含有多个单天线无线设备和一个多天线的混合接入点(H-AP,Hybrid access point)的带有智能反射面的无线通信网络,其中无线设备在下行链路阶段会通过无线信号从H-AP处收获能量,然后在上行链路阶段使用收到的能量向H-AP发送信息。在下文描述中,首先根据系 统模型定义接收端到发射端之间的矩阵或者向量,并使用数学公式描述信号和能量大小;然后以增大整个系统中信息传输速率和系统的吞吐量为优化目标,定义联合优化问题;进而通过求解联合优化问题确定满足优化目标的参数。The scenario of the present invention is a wireless communication network with an intelligent reflector that contains multiple single-antenna wireless devices and a multi-antenna hybrid access point (H-AP, Hybrid access point), where the wireless devices will Harvesting energy from the H-AP via wireless signals, and then using the received energy to send information to the H-AP in the uplink phase. In the following description, first define the matrix or vector between the receiving end and the transmitting end according to the system model, and use mathematical formulas to describe the signal and energy; then increase the information transmission rate and system throughput in the entire system as the optimization goal , define the joint optimization problem; and then determine the parameters that meet the optimization goal by solving the joint optimization problem.
1)、系统模型1), system model
参见图1所示,所提供的基于智能反射面的无线通信系统包括混合接入点(H-AP)、智能反射面(IRS)和用户端,其中H-AP配备N T根天线,以利用天线传输信号给用户;智能反射面配备M个反射单元,以利用反射单元对来自H-AP的信号进行反射传输给用户;用户端包含K个配备单天线的无线设备,以接收来自H-AP或者智能反射面传送的信号,其中,N T、M和K均为大于等于2的整数。 Referring to Fig. 1, the provided wireless communication system based on the intelligent reflector includes a hybrid access point (H-AP), an intelligent reflector (IRS) and a user terminal, wherein the H-AP is equipped with NT antennas to utilize The antenna transmits the signal to the user; the smart reflector is equipped with M reflection units to use the reflection unit to reflect and transmit the signal from the H-AP to the user; the user end contains K wireless devices equipped with a single antenna to receive the signal from the H-AP Or the signal transmitted by the smart reflective surface, wherein NT , M and K are all integers greater than or equal to 2.
在一个实施例中,对于所提供的无线通信系统,考虑以一个长度总和是1为例(或统一标记为T)的时间框架,其中用于能量传输的下行链路时间被设为τ 0,用于信息传输的上行链路时间被设为τ 1=T-τ 0,即可表示为τ 01=T=1。 In one embodiment, for the provided wireless communication system, consider a time frame whose length sum is 1 (or uniformly denoted as T), wherein the downlink time for energy transmission is set as τ 0 , The uplink time for information transmission is set as τ 1 =T−τ 0 , which can be expressed as τ 01 =T=1.
针对图1的无线通信系统,P是信号的发送功率,
Figure PCTCN2022097839-appb-000006
表示H-AP直接到第i个用户的信道向量,
Figure PCTCN2022097839-appb-000007
表示智能反射面直接到第i个用户的信道向量,
Figure PCTCN2022097839-appb-000008
表示H-AP到智能反射面的信道矩阵,相对的
Figure PCTCN2022097839-appb-000009
表示第i个用户到H-AP的信道向量,
Figure PCTCN2022097839-appb-000010
表示第i个用户到智能反射面的信道向量,
Figure PCTCN2022097839-appb-000011
表示智能反射面到H-AP的信道矩阵。同时认为信道是互易的,所以有
Figure PCTCN2022097839-appb-000012
Z=Z D=Z U,智能反射面在下行链路和上行链路的对角反射系数矩阵分别为Θ D和Θ U,也就是说对于′#′∈[D,U],m∈{1,M},
Figure PCTCN2022097839-appb-000013
其中
Figure PCTCN2022097839-appb-000014
表示第m个反射单元的反射系数,
Figure PCTCN2022097839-appb-000015
代表第m个反射单元的反射角度和相移,所以可以得到
Figure PCTCN2022097839-appb-000016
Figure PCTCN2022097839-appb-000017
上标H表示共轭转置,上标T表示转置,标量x b表示H-AP发送给用户的能量信号,
Figure PCTCN2022097839-appb-000018
表示能量波束成形向量,满足‖f‖=1,所以第i个用户接收到的信号大小为:
For the wireless communication system in Figure 1, P is the transmission power of the signal,
Figure PCTCN2022097839-appb-000006
Indicates the channel vector from the H-AP directly to the i-th user,
Figure PCTCN2022097839-appb-000007
represents the channel vector from the smart reflector directly to the i-th user,
Figure PCTCN2022097839-appb-000008
Represents the channel matrix from the H-AP to the smart reflector, relative
Figure PCTCN2022097839-appb-000009
Indicates the channel vector from the i-th user to the H-AP,
Figure PCTCN2022097839-appb-000010
Indicates the channel vector from the i-th user to the smart reflector,
Figure PCTCN2022097839-appb-000011
Indicates the channel matrix from the smart reflector to the H-AP. At the same time, the channel is considered to be reciprocal, so there is
Figure PCTCN2022097839-appb-000012
Z=Z D =Z U , the diagonal reflection coefficient matrices of the smart reflector in the downlink and uplink are Θ D and Θ U respectively, that is to say, for ′#′∈[D,U],m∈{ 1,M},
Figure PCTCN2022097839-appb-000013
in
Figure PCTCN2022097839-appb-000014
Indicates the reflection coefficient of the mth reflection unit,
Figure PCTCN2022097839-appb-000015
Represents the reflection angle and phase shift of the mth reflection unit, so it can be obtained
Figure PCTCN2022097839-appb-000016
Figure PCTCN2022097839-appb-000017
The superscript H represents the conjugate transpose, the superscript T represents the transpose, the scalar x b represents the energy signal sent by the H-AP to the user,
Figure PCTCN2022097839-appb-000018
Represents the energy beamforming vector and satisfies ‖f‖=1, so the size of the signal received by the i-th user is:
Figure PCTCN2022097839-appb-000019
Figure PCTCN2022097839-appb-000019
其中
Figure PCTCN2022097839-appb-000020
是复高斯噪声,σ为高斯噪声的方差,
Figure PCTCN2022097839-appb-000021
Figure PCTCN2022097839-appb-000022
是H-AP和智能反射面之间的有效信道获取量。
in
Figure PCTCN2022097839-appb-000020
is complex Gaussian noise, σ is the variance of Gaussian noise,
Figure PCTCN2022097839-appb-000021
Figure PCTCN2022097839-appb-000022
is the effective channel acquisition amount between the H-AP and the smart reflector.
令q i表示第i个用户在下行链路期间获取的能量,其可以表示为: Let q i denote the energy harvested by the i-th user during the downlink, which can be expressed as:
Figure PCTCN2022097839-appb-000023
Figure PCTCN2022097839-appb-000023
其中η≤1表示能量收集的效率。where η≤1 represents the efficiency of energy harvesting.
在上行链路阶段,第i个设备发送信息标量
Figure PCTCN2022097839-appb-000024
到H-AP,H-AP使用接收波束成形W=[w 1,…,w K] H,
Figure PCTCN2022097839-appb-000025
‖w i‖=1来接收信息,H-AP接收到的信号大小为:
During the uplink phase, the i-th device sends an information scalar
Figure PCTCN2022097839-appb-000024
to the H-AP, the H-AP uses receive beamforming W=[w 1 ,…,w K ] H ,
Figure PCTCN2022097839-appb-000025
‖w i ‖=1 to receive information, the signal size received by H-AP is:
Figure PCTCN2022097839-appb-000026
Figure PCTCN2022097839-appb-000026
其中,
Figure PCTCN2022097839-appb-000027
是H-AP处的加性高斯白噪声,
Figure PCTCN2022097839-appb-000028
Figure PCTCN2022097839-appb-000029
是H-AP和第i个无线设备之间的有效信道获取量,n AP是在H-AP处的加性高斯白噪声,并且服从分布
Figure PCTCN2022097839-appb-000030
in,
Figure PCTCN2022097839-appb-000027
is the additive white Gaussian noise at the H-AP,
Figure PCTCN2022097839-appb-000028
Figure PCTCN2022097839-appb-000029
is the effective channel acquisition amount between the H-AP and the i-th wireless device, n AP is the additive white Gaussian noise at the H-AP, and obeys the distribution
Figure PCTCN2022097839-appb-000030
第i个无线设备在上行链路期间给H-AP传输信息时的信号与干扰加噪声比为:The signal-to-interference plus noise ratio when the i-th wireless device transmits information to the H-AP during the uplink is:
Figure PCTCN2022097839-appb-000031
Figure PCTCN2022097839-appb-000031
2)、定义优化问题2), define the optimization problem
在本发明实施例中,以最大化可达到的上行信息传输速率为目标,通过对下行阶段的H-AP能量波束成形、上行阶段的H-AP信息接收波束成形、智能反射面在能量和信息传输的相移和时间分配共4个参数进行问题的联合优化。将联合优化问题表示为:In the embodiment of the present invention, aiming at maximizing the achievable uplink information transmission rate, through the H-AP energy beamforming in the downlink phase, the H-AP information receiving beamforming in the uplink phase, and the smart reflector combining energy and information The joint optimization of the problem is carried out on the four parameters of transmission phase shift and time allocation. Express the joint optimization problem as:
Figure PCTCN2022097839-appb-000032
Figure PCTCN2022097839-appb-000032
其中,约束条件中的(1)表示式子τ 01=T。由于问题中的变量存在耦合,所以问题的求解比较困难,而且问题本身是非凸的,所以在下述实施例中优选考虑优化变量的单独优化,然后使用替代优化获得联合解决方案。 Wherein, (1) in the constraint condition represents the formula τ 01 =T. Due to the coupling of variables in the problem, it is difficult to solve the problem, and the problem itself is non-convex, so in the following embodiments, it is preferable to consider the individual optimization of the optimization variables, and then use alternative optimization to obtain a joint solution.
3)、以吞吐量最大化为目标获取优化参数3) Obtain optimized parameters with the goal of maximizing throughput
①首先进行智能反射面能量和信息传输时间分配的优化。① First optimize the energy and information transmission time distribution of the intelligent reflective surface.
假设4个参数中的其他三个参数都是已知的,假设
Figure PCTCN2022097839-appb-000033
可以通过求解以下的松弛问题来获得最佳的时间分配τ 1
Assuming that the other three of the four parameters are known, assume
Figure PCTCN2022097839-appb-000033
The optimal time distribution τ 1 can be obtained by solving the following relaxation problem.
Figure PCTCN2022097839-appb-000034
Figure PCTCN2022097839-appb-000034
因为问题P1.1是一个对于{τ 01}的凸优化问题,所以可以使用标准的凸优化解决方法,例如CVX来解决,采用问题P1.1的拉格朗日函数形式和KKT作为条件,可以得到: Because problem P1.1 is a convex optimization problem for {τ 01 }, it can be solved using a standard convex optimization solution, such as CVX, using the Lagrange function form of problem P1.1 and KKT as condition, you can get:
Figure PCTCN2022097839-appb-000035
Figure PCTCN2022097839-appb-000035
公式(7)证明了最佳的τ 0是存在的。 Equation (7) proves that the optimal τ 0 exists.
②对H-AP的接收信息的波束成形进行优化。② Optimize the beamforming of the received information of H-AP.
此时,考虑其他三个参数是已知的,同样假设
Figure PCTCN2022097839-appb-000036
Figure PCTCN2022097839-appb-000037
Figure PCTCN2022097839-appb-000038
所以
Figure PCTCN2022097839-appb-000039
因此可以通过求解以下的松弛问题来获得最佳的W值:
At this point, considering that the other three parameters are known, it is also assumed that
Figure PCTCN2022097839-appb-000036
Figure PCTCN2022097839-appb-000037
Figure PCTCN2022097839-appb-000038
so
Figure PCTCN2022097839-appb-000039
Therefore, the optimal W value can be obtained by solving the following relaxation problem:
Figure PCTCN2022097839-appb-000040
Figure PCTCN2022097839-appb-000040
对于问题P1.2可以通过命题3.1得到最佳的H-AP端的最佳信息接收波束成形,同时可以证明瑞利商γ i(w i)的最大特征值,根据定理3.2,问题P1.2中的最大特征值γ i(w i)对于对称矩阵对{C i,D i}是对于w i的凸函数。 For problem P1.2, the optimal information receiving beamforming at the H-AP end can be obtained through Proposition 3.1, and the maximum eigenvalue of the Rayleigh quotient γ i (w i ) can be proved at the same time. According to Theorem 3.2, in problem P1.2 The largest eigenvalue of γ i (w i ) is a convex function of w i for the pair of symmetric matrices {C i , D i }.
命题3.1:最佳的H-AP端的最佳信息接收波束成形为
Figure PCTCN2022097839-appb-000041
i∈[1,K],这里φ i表示瑞利商γ i(w i)的最大特征值λ i的对应特征向量。
Proposition 3.1: The optimal information receiving beamforming at the optimal H-AP side is
Figure PCTCN2022097839-appb-000041
i∈[1,K], where φ i represents the corresponding eigenvector of the largest eigenvalue λ i of the Rayleigh quotient γ i (w i ).
证明:取问题P1.2关于w i的梯度并且令其为0,得到: Proof: Take the gradient of problem P1.2 about w i and make it 0, get:
Figure PCTCN2022097839-appb-000042
Figure PCTCN2022097839-appb-000042
简化上述的式子,得到结果:Simplify the above formula to get the result:
Figure PCTCN2022097839-appb-000043
Figure PCTCN2022097839-appb-000043
对于任意的矩阵C,令Φ C=[φ 1,…,φ K],Λ C=diag[λ 1,…,λ K]是特征向量和特征矩阵,所以有: For any matrix C, let Φ C =[φ 1 ,…,φ K ], Λ C =diag[λ 1 ,…,λ K ] are eigenvectors and eigenmatrices, so there are:
C=Φ CΛ C或Λ C=Φ C TC   (11) C =Φ C Λ C or Λ C =Φ C TC (11)
同样的,对于矩阵D,有Φ DD是特征向量和特征矩阵,所以: Similarly, for matrix D, there are Φ D , Λ D is the eigenvector and eigenmatrix, so:
D=Φ DΛ D或Λ D=Φ D TD  (12) D =Φ D Λ D or Λ D =Φ D TD (12)
假设对于矩阵C,Φ DD是特征向量和特征值,这就意味着Φ DD是矩阵集{C,D}的广义特征向量和特征值,所以下面的方程必须满足: Assume that for matrix C, Φ D , Λ D are eigenvectors and eigenvalues, which means that Φ D , Λ D are generalized eigenvectors and eigenvalues of the matrix set {C, D}, so the following equations must be satisfied:
D=Φ DΛ D或者Λ D=Φ D TD   (13) D =Φ D Λ D or Λ D =Φ D TD (13)
将上式中的Λ D左右两边都与Λ D -1/2相乘,有: Multiply the left and right sides of Λ D in the above formula by Λ D -1/2 , there is:
Λ D -1/2Φ D TDΛ D -1/2=Λ D -1/2Λ DΛ D -1/2=I   (14) Λ D -1/2 Φ D TD Λ D -1/2 = Λ D -1/2 Λ D Λ D -1/2 = I (14)
可以注意到C′=Λ D -1/2Φ D TDΛ D -1/2是对称矩阵,然后根据特征值和特征向量的定义,有: It can be noticed that C′=Λ D -1/2 Φ D TD Λ D -1/2 is a symmetric matrix, and then according to the definition of eigenvalues and eigenvectors, there are:
C′Φ C=Φ CΛ CorΛ C=Φ C TC′Φ C   (15) C′Φ C =Φ C Λ C orΛ C =Φ C T C′Φ C (15)
将Λ C中的C′代入: Substitute C' in Λ C into:
Λ C=Φ C TΛ D -1/2Φ D TDΛ D -1/2Φ C=Φ TCΦ,其中Φ=Φ DΛ D -1/2Φ C   (16) Λ C =Φ C T Λ D -1/2 Φ D TD Λ D -1/2 Φ C =Φ T CΦ, where Φ=Φ D Λ D -1/2 Φ C (16)
使用Φ作为结果检查D的对角化能力:Check the diagonalization ability of D using Φ as the result:
Φ -1DΦ=Φ TDΦ=Φ C TΛ D -1/2Φ D TDΛ D -1/2Φ C  (17) Φ -1 DΦ=Φ T DΦ=Φ C T Λ D -1/2 Φ D TD Λ D -1/2 Φ C (17)
上式又可以改写为:The above formula can be rewritten as:
Φ TDΦ=Φ C TΛ D -1/2Λ DΛ D -1/2Φ C  (18) Φ T DΦ=Φ C T Λ D -1/2 Λ D Λ D -1/2 Φ C (18)
简化上式为Φ TDΦ=I,在上式的右边乘以Λ C,然后等同于 Simplify the above formula to Φ T DΦ=I, multiply the right side of the above formula by Λ C , then it is equivalent to
ΛC=Φ C TΛ D -1/2Φ D TDΛ D -1/2=Φ TCΦ,其中Φ=Φ DΛ D -1/2Φ C ΛC=Φ C T Λ D -1/2 Φ D TD Λ D -1/2 =Φ T CΦ, where Φ=Φ D Λ D -1/2 Φ C
得到:get:
CΦ=DΦΛ C   (19) CΦ= DΦΛC (19)
上式的向量形式方程为:The vector form equation of the above formula is:
C iφ i=D iφ iλ i   (20) C i φ i = D i φ i λ i (20)
比较之前的式子
Figure PCTCN2022097839-appb-000044
和C iφ i=D iφ iλ i,得到
Figure PCTCN2022097839-appb-000045
作为特征向量φ i,γ i(w i)作为对应于特征向量φ i的特征值λ i,因此,对于问题P1.2,最优的w i,i∈{1,K}是
Figure PCTCN2022097839-appb-000046
Compare the previous formula
Figure PCTCN2022097839-appb-000044
and C i φ i = D i φ i λ i , get
Figure PCTCN2022097839-appb-000045
As the eigenvector φ i , γ i (w i ) acts as the eigenvalue λ i corresponding to the eigenvector φ i , so, for problem P1.2, the optimal w i ,i∈{1,K} is
Figure PCTCN2022097839-appb-000046
定理3.2:问题P1.2中γ i(w i)的最大特征值,对于对称矩阵对{C i,D i}是关于w i的凸函数。 Theorem 3.2: The largest eigenvalue of γ i (w i ) in problem P1.2 is a convex function about w i for the symmetric matrix pair {C i , D i }.
证明:令
Figure PCTCN2022097839-appb-000047
是(N T×N T×K)矩阵C i的特征值,所以C iw i=w iλ i.此外,
Figure PCTCN2022097839-appb-000048
这意味着
Figure PCTCN2022097839-appb-000049
Proof: order
Figure PCTCN2022097839-appb-000047
is the eigenvalue of (N T ×N T ×K) matrix C i , so C i w i =w i λ i . In addition,
Figure PCTCN2022097839-appb-000048
this means
Figure PCTCN2022097839-appb-000049
对于矩阵D i也可以写出与上式类似的等式。 An equation similar to the above can also be written for the matrix D i .
现在对于阶数为N T×N T×K且0≤α≤1,可以得到: Now for the order N T ×N T ×K and 0≤α≤1, we can get:
Figure PCTCN2022097839-appb-000050
Figure PCTCN2022097839-appb-000050
因此对称矩阵对{C i,D i}的最大的特征值
Figure PCTCN2022097839-appb-000051
是对于w i的凸函数。
Therefore the largest eigenvalue of the symmetric matrix pair {C i ,D i }
Figure PCTCN2022097839-appb-000051
is a convex function for w i .
③对H-AP的发送波束成形进行优化。③Optimize the transmit beamforming of H-AP.
此时考虑其他三个参数是已知的,所以最佳的发送波束成形f可以通过求解以下的松弛问题得出:Considering that the other three parameters are known at this time, the optimal transmit beamforming f can be obtained by solving the following relaxation problem:
Figure PCTCN2022097839-appb-000052
Figure PCTCN2022097839-appb-000052
我们假设
Figure PCTCN2022097839-appb-000053
Figure PCTCN2022097839-appb-000054
所以现在问题P1.3修改如下:
Let us suppose
Figure PCTCN2022097839-appb-000053
Figure PCTCN2022097839-appb-000054
So now problem P1.3 is modified as follows:
Figure PCTCN2022097839-appb-000055
Figure PCTCN2022097839-appb-000055
在P1.3.1中,瑞利商有k个乘积项,并且对于P1.3.1中的对称矩阵E和G i来说,如果ψ i(w i#i)是对应于最大特征值ζ i(w i#i)的特征向量,所以根据之前的推断可知当f(w i#i)=ψ i(w i#i)时,第i个瑞利商γ i(f)被最大化为ζ i(w i#i)。从上述式子做一些推算可以知道,对称矩阵对{E,G i}的最大特征值是关于f的凸函数。为了解最佳的发射波束成形器f,k瑞利商的解需要一起被优化,我们假设cosδ i=f Hψ i(w i#i),
Figure PCTCN2022097839-appb-000056
然后第i项的f由ζ i(w i#i)cosδ i给出,问题P1.3.1现在被改写为问题P1.3.2,同时问题可以使用命题3.2解出。
In P1.3.1, the Rayleigh quotient has k product terms, and for the symmetric matrices E and G i in P1.3.1, if ψ i (w i#i ) is corresponding to the largest eigenvalue ζ i (w i#i ), so according to the previous inference, when f(w i#i )=ψ i (w i#i ), the The i Rayleigh quotients γ i (f) are maximized to ζ i (w i#i ). Doing some calculations from the above formulas, we can know that the largest eigenvalue of the symmetric matrix pair {E, G i } is a convex function about f. In order to know the optimal transmit beamformer f, the solution of k Rayleigh quotient needs to be optimized together, we assume cosδ i =f H ψ i (w i#i ),
Figure PCTCN2022097839-appb-000056
Then f of the i-th term is given by ζ i (w i#i )cosδ i , problem P1.3.1 is now rewritten as problem P1.3.2, and the problem can be solved using Proposition 3.2.
Figure PCTCN2022097839-appb-000057
Figure PCTCN2022097839-appb-000057
命题3.2:当δ 1=…δ K的时候,
Figure PCTCN2022097839-appb-000058
的最大值出现。那么最优的
Figure PCTCN2022097839-appb-000059
这里,向量a=[1,…,1,0,…,0] T
Figure PCTCN2022097839-appb-000060
向量a包含K个1和N T-K个0。ψ i,i∈[1,K]代表第i个瑞利商的解,
Figure PCTCN2022097839-appb-000061
代表与K个向量ψ i空间正交的基向量。
Proposition 3.2: When δ 1 =...δ K ,
Figure PCTCN2022097839-appb-000058
The maximum value appears. then the best
Figure PCTCN2022097839-appb-000059
Here, the vector a=[1,…,1,0,…,0] T ,
Figure PCTCN2022097839-appb-000060
Vector a contains K 1s and N T -K 0s. ψ i ,i∈[1,K] represents the solution of the i-th Rayleigh quotient,
Figure PCTCN2022097839-appb-000061
Represents the basis vectors that are spatially orthogonal to the K vectors ψ i .
证明:参考文献“Throughput maximization for multiuser mimo wireless powered communication networks”(DOI:10.1109/TVT.2015.2453206)中定理1的证明。Proof: Refer to the proof of Theorem 1 in "Throughput maximization for multiuser mimo wireless powered communication networks" (DOI: 10.1109/TVT.2015.2453206).
④对智能反射面的相移进行优化。④Optimize the phase shift of the smart reflector.
此时认为f,W和τ i是已知变量,然后可以通过求解出以下方程来获得最佳的Θ #At this time, it is considered that f, W and τ i are known variables, and then the optimal Θ # can be obtained by solving the following equation.
Figure PCTCN2022097839-appb-000062
Figure PCTCN2022097839-appb-000062
为了简化,假设
Figure PCTCN2022097839-appb-000063
然后
Figure PCTCN2022097839-appb-000064
所以有效信道
Figure PCTCN2022097839-appb-000065
其中
Figure PCTCN2022097839-appb-000066
如果H-AP和无线设备之间没有直接的链路连接(即只有智能反射面的时候),
Figure PCTCN2022097839-appb-000067
For simplicity, assume
Figure PCTCN2022097839-appb-000063
Then
Figure PCTCN2022097839-appb-000064
So the effective channel
Figure PCTCN2022097839-appb-000065
in
Figure PCTCN2022097839-appb-000066
If there is no direct link connection between the H-AP and the wireless device (that is, when there is only a smart reflector),
Figure PCTCN2022097839-appb-000067
在优化上行链路的智能反射面的相移时,认为上行链路智能反射面的 相移转换涉及到的参数是不变的,反之亦然。所以问题P1.4在上行链路和下行链路对于智能反射面的相移进行优化时,信号与干扰加噪声比变成如下形式:When optimizing the phase shift of the uplink smart reflector, it is considered that the parameters involved in the phase shift conversion of the uplink smart reflector are constant, and vice versa. Therefore, when problem P1.4 optimizes the phase shift of the smart reflector in the uplink and downlink, the signal-to-interference-plus-noise ratio becomes as follows:
Figure PCTCN2022097839-appb-000068
Figure PCTCN2022097839-appb-000068
假设:assumptions:
Figure PCTCN2022097839-appb-000069
Figure PCTCN2022097839-appb-000069
Figure PCTCN2022097839-appb-000070
Figure PCTCN2022097839-appb-000070
Figure PCTCN2022097839-appb-000071
Figure PCTCN2022097839-appb-000071
Figure PCTCN2022097839-appb-000072
Figure PCTCN2022097839-appb-000072
现在对于新的问题P1.4.1,问题P1.4的目标函数被修改为:Now for the new problem P1.4.1, the objective function of problem P1.4 is modified as:
Figure PCTCN2022097839-appb-000073
Figure PCTCN2022097839-appb-000073
对于问题P1.4.1,即
Figure PCTCN2022097839-appb-000074
中的对称矩阵H和L i来说,如果
Figure PCTCN2022097839-appb-000075
是对应于最大特征值
Figure PCTCN2022097839-appb-000076
的特征向量。根据命题3.1,当
Figure PCTCN2022097839-appb-000077
时,第i个瑞利商
Figure PCTCN2022097839-appb-000078
被最大化为
Figure PCTCN2022097839-appb-000079
根据定理3.2,可以知道对称矩阵对{H #,L i #}是关于
Figure PCTCN2022097839-appb-000080
的凸函数,因此在求解关于
Figure PCTCN2022097839-appb-000081
的问题P1.4.1的时候,因为存在k个瑞利商项,所以获得了k个
Figure PCTCN2022097839-appb-000082
的解。首先,将
Figure PCTCN2022097839-appb-000083
归一化为
Figure PCTCN2022097839-appb-000084
因此[x] (2:M+1)表示x中不包括第一个元素的包含M个元素的向量。在对
Figure PCTCN2022097839-appb-000085
进行归一化之后,需要一起优化k个解以获得唯一的最优的
Figure PCTCN2022097839-appb-000086
当H-AP和无线设备之间仅仅存在智能反射面时,即
Figure PCTCN2022097839-appb-000087
那么就不需要对
Figure PCTCN2022097839-appb-000088
进行归一化,这时用k个解一起优化来获得唯一的最优
Figure PCTCN2022097839-appb-000089
为了获取唯一的最优
Figure PCTCN2022097839-appb-000090
假设
Figure PCTCN2022097839-appb-000091
Figure PCTCN2022097839-appb-000092
其中
Figure PCTCN2022097839-appb-000093
所以第i项的
Figure PCTCN2022097839-appb-000094
Figure PCTCN2022097839-appb-000095
这时问题P1.4.1被重写为如下:
For problem P1.4.1, namely
Figure PCTCN2022097839-appb-000074
For the symmetric matrices H and L i in , if
Figure PCTCN2022097839-appb-000075
is corresponding to the largest eigenvalue
Figure PCTCN2022097839-appb-000076
eigenvectors of . According to Proposition 3.1, when
Figure PCTCN2022097839-appb-000077
, the i-th Rayleigh quotient
Figure PCTCN2022097839-appb-000078
is maximized as
Figure PCTCN2022097839-appb-000079
According to Theorem 3.2, it can be known that the symmetric matrix pair {H # , L i # } is about
Figure PCTCN2022097839-appb-000080
Convex function of , so in solving about
Figure PCTCN2022097839-appb-000081
In the case of problem P1.4.1, because there are k Rayleigh quotient items, k
Figure PCTCN2022097839-appb-000082
solution. First, set the
Figure PCTCN2022097839-appb-000083
normalized to
Figure PCTCN2022097839-appb-000084
Thus [x] (2:M+1) means a vector of M elements in x excluding the first element. in the right
Figure PCTCN2022097839-appb-000085
After normalization, k solutions need to be optimized together to obtain the only optimal
Figure PCTCN2022097839-appb-000086
When there is only a smart reflector between the H-AP and the wireless device, that is
Figure PCTCN2022097839-appb-000087
then there is no need to
Figure PCTCN2022097839-appb-000088
Perform normalization, then use k solutions to optimize together to obtain the only optimal
Figure PCTCN2022097839-appb-000089
In order to obtain the only optimal
Figure PCTCN2022097839-appb-000090
suppose
Figure PCTCN2022097839-appb-000091
Figure PCTCN2022097839-appb-000092
in
Figure PCTCN2022097839-appb-000093
So the i item's
Figure PCTCN2022097839-appb-000094
for
Figure PCTCN2022097839-appb-000095
At this point problem P1.4.1 is rewritten as follows:
Figure PCTCN2022097839-appb-000096
Figure PCTCN2022097839-appb-000096
这个问题可以使用推断命题3.2解出,假设最优的
Figure PCTCN2022097839-appb-000097
这里向量a=[1,…,1,0,…,0] T,
Figure PCTCN2022097839-appb-000098
向量a包括k个1和M-K个0,i∈[1,K],代表第i个瑞利商的解,
Figure PCTCN2022097839-appb-000099
代表与k个向量
Figure PCTCN2022097839-appb-000100
空间正交的基向量,可以通过
Figure PCTCN2022097839-appb-000101
获得最优的Θ #
Figure PCTCN2022097839-appb-000102
This problem can be solved using Corollary Proposition 3.2, assuming the optimal
Figure PCTCN2022097839-appb-000097
Here vector a=[1,…,1,0,…,0] T ,
Figure PCTCN2022097839-appb-000098
Vector a includes k 1s and MK 0s, i∈[1,K], representing the solution of the i-th Rayleigh quotient,
Figure PCTCN2022097839-appb-000099
Represents and k vectors
Figure PCTCN2022097839-appb-000100
Space-orthogonal basis vectors can be obtained by
Figure PCTCN2022097839-appb-000101
Obtain the optimal Θ # ,
Figure PCTCN2022097839-appb-000102
4)、使用替代优化的联合解决方案4) Joint solution using alternative optimization
在上述实施例中,将主问题分解为多个子问题,然后为子问题提供一个解决方案。现在为主问题提供一种联合解决方案,参数的优化顺序为τ i→W→f→Θ D→Θ U,在优化完子问题之后,发现主问题P1的目标函数是有限且不递减的。如下的算法1给出了步骤,同时还发现由于算法1具有低复杂度的特点,所以问题P1会在几次收敛(如2-3次)内达到最优解。 In the above embodiments, the main problem is decomposed into multiple sub-problems, and then a solution is provided for the sub-problems. Now provide a joint solution to the main problem. The optimization order of the parameters is τ i → W → f → Θ D → Θ U . After optimizing the sub-problems, it is found that the objective function of the main problem P1 is finite and non-decreasing. The following Algorithm 1 gives the steps. At the same time, it is also found that because Algorithm 1 has the characteristics of low complexity, the problem P1 will reach the optimal solution within several convergences (such as 2-3 times).
Figure PCTCN2022097839-appb-000103
Figure PCTCN2022097839-appb-000103
5)、对于H-AP配置ZFRB和MRT的情况5) For the case of configuring ZFRB and MRT for H-AP
首先假设H-AP处配置了ZFRB(迫零波束成型,zero-forcing receive beamforming)。First assume that ZFRB (zero-forcing receive beamforming) is configured at the H-AP.
在本节中,由于上述已获得了所提出系统的次优解决方案。因此,W是已知的,并且f、τ i和Θ #如上所述进行了优化,但在使用ZFRB时,方程得到了简化,如下所述。 In this section, a suboptimal solution to the proposed system has been obtained due to the above. Therefore, W is known, and f, τi , and Θ # are optimized as above, but when using ZFRB, the equations are simplified as described below.
当使用ZFRB时,干扰为0,所以
Figure PCTCN2022097839-appb-000104
同时有
Figure PCTCN2022097839-appb-000105
所以问题P1被简化为:
When using ZFRB, the interference is 0, so
Figure PCTCN2022097839-appb-000104
at the same time
Figure PCTCN2022097839-appb-000105
So problem P1 is reduced to:
Figure PCTCN2022097839-appb-000106
Figure PCTCN2022097839-appb-000106
所以问题P1.1中的最优τ 1被简化为以下公式: So the optimal τ1 in problem P1.1 is simplified to the following formula:
Figure PCTCN2022097839-appb-000107
Figure PCTCN2022097839-appb-000107
参数τ 1的优化问题是一个凸优化问题,所以采用问题的拉格朗日形式和KKT条件可以轻松证明参数τ 1最优值的存在性。 The optimization problem of parameter τ 1 is a convex optimization problem, so the existence of the optimal value of parameter τ 1 can be easily proved by using the Lagrangian form of the problem and KKT conditions.
Figure PCTCN2022097839-appb-000108
Figure PCTCN2022097839-appb-000108
在优化发射波束成形的时候,假设
Figure PCTCN2022097839-appb-000109
Figure PCTCN2022097839-appb-000110
所以问题P1.3.1被简化为:
When optimizing transmit beamforming, it is assumed that
Figure PCTCN2022097839-appb-000109
Figure PCTCN2022097839-appb-000110
So problem P1.3.1 is reduced to:
Figure PCTCN2022097839-appb-000111
Figure PCTCN2022097839-appb-000111
在优化问题P1.4.1中的
Figure PCTCN2022097839-appb-000112
时,
Figure PCTCN2022097839-appb-000113
Figure PCTCN2022097839-appb-000114
问题P1.4.1被简化为:
In the optimization problem P1.4.1 the
Figure PCTCN2022097839-appb-000112
hour,
Figure PCTCN2022097839-appb-000113
Figure PCTCN2022097839-appb-000114
Problem P1.4.1 is simplified to:
Figure PCTCN2022097839-appb-000115
Figure PCTCN2022097839-appb-000115
所以现在可以使用对参数的替代优化来获得联合解决方案。So now an alternative optimization of the parameters can be used to obtain the joint solution.
接下来,假设H-AP处配置了MRT((maximum-ratio-transmission,最大比率发射)。Next, assume that MRT ((maximum-ratio-transmission, maximum ratio transmission) is configured on the H-AP.
由于上述已获得一个次优解决方案,因此f是已知的,W,τ i#按照上述方式进行优化。基于智能反射面的链路和H-AP与无线设备之间的有效 链路,假设有两种不同的MRT。在智能反射面的MRT中,H-AP的搜索方向为
Figure PCTCN2022097839-appb-000116
在有效链路的MRT中,H-AP的搜索方向为
Figure PCTCN2022097839-appb-000117
每个MRT的发射波束成形f变为之前搜索方向的
Figure PCTCN2022097839-appb-000118
倍。因此问题P1.3.1得到简化,然后可以通过将ψ i替换成相应的发射波束成形器,通过命题3.2获得最佳的解决方案。
Since a suboptimal solution has been obtained above, f is known, and W, τ i , Θ # are optimized according to the above method. Based on the link of the smart reflector and the effective link between the H-AP and the wireless device, two different MRTs are assumed. In the MRT of the smart reflector, the search direction of the H-AP is
Figure PCTCN2022097839-appb-000116
In the MRT of the active link, the search direction of the H-AP is
Figure PCTCN2022097839-appb-000117
The transmit beamforming f of each MRT becomes that of the previous search direction
Figure PCTCN2022097839-appb-000118
times. Problem P1.3.1 is thus simplified, and then an optimal solution can be obtained by Proposition 3.2 by substituting ψ i for the corresponding transmit beamformer.
为进一步验证本发明的效果,进行实验,可采用MATLAB平台或其他的计算平台进行仿真,以验证系统的吞吐量。具体地,假设位于(0m,0m)处的H-AP具有5根天线。H-AP服务3个具有单天线的无线设备,无线设备随机分布在半径为10m的圆内,距离H-AP(200m,10m)。具有100个元件的智能反射面距离H-AP(200m,0m),在实际应用中,发现智能反射面的反射信号的幅度与相移相关。为了简化,本申请不考虑元件的相移,并且将智能反射面的反射系数视为相同。此外,除非特别指定,假设H-AP的发射功率P=25dBm。In order to further verify the effect of the present invention, experiments are carried out, and MATLAB platform or other computing platforms can be used for simulation to verify the throughput of the system. Specifically, it is assumed that the H-AP located at (0m, 0m) has 5 antennas. The H-AP serves 3 wireless devices with a single antenna, and the wireless devices are randomly distributed in a circle with a radius of 10m at a distance of (200m, 10m) from the H-AP. The smart reflector with 100 elements is at a distance of H-AP(200m, 0m). In practical applications, it is found that the amplitude of the reflected signal of the smart reflector is related to the phase shift. For simplicity, this application does not consider the phase shift of the elements, and considers the reflection coefficients of the smart reflective surfaces to be the same. In addition, unless otherwise specified, it is assumed that the transmit power of the H-AP is P=25dBm.
在实验中,对比了以下几种基准方案:In the experiment, the following benchmark schemes were compared:
方案1:系统中配置了智能反射面,并且智能反射面的元件有随机的相移,同时H-AP与无线设备之间的直接链路也是可用的。Solution 1: A smart reflector is configured in the system, and the components of the smart reflector have random phase shifts, and a direct link between the H-AP and the wireless device is also available.
方案2:系统没有配置智能反射面,所以只能使用H-AP和无线设备之间的直接链路连接来传输信号。Scenario 2: The system is not equipped with a smart reflector, so it can only use the direct link connection between the H-AP and the wireless device to transmit the signal.
方案3:系统的H-AP和无线设备之间没有配置直接的链路连接,所以只能使用智能反射面来传输信号。Solution 3: There is no direct link connection between the H-AP of the system and the wireless device, so the intelligent reflective surface can only be used to transmit signals.
图2是发射功率变化和多无线设备的吞吐量之间的关系示意。可以看出,随着H-AP处的发射功率提高,无线设备处接收到的信号也逐渐提高,这使得无线设备可以获取更多的能量来发送信息,所以对于所有方案来说,系统的吞吐量随着H-AP的发射功率提高而提高。但是方案2的吞吐量比较低,这是因为信号的传输通过高路径损耗的直接链路完成。对于方案1,尽管智能反射面的元件采用了随机的相移,但是由于智能反射面和H-AP与无线设备之间的直接链路都可以用来作为信号的传输,所以方案1的吞吐量表现要比方案2好。对于方案3来说,因为方案3的智能反射面元件采用了最佳的相移,所以方案3的吞吐量表现好于方案1和2。此外图2 中还显示了在H-AP处应用MRT和ZFRB时,为提出的系统获得两个复杂度低的次优解。可以注意到,基于有效信道的MRT在吞吐量表现上要略好于基于智能反射面的MRT。随着发射功率的提高,由于采用了更加简单的接收波束成形的方向设计,所以ZFRB的性能有所降低。FIG. 2 is a schematic diagram of the relationship between the transmission power variation and the throughput of a multi-radio device. It can be seen that as the transmit power at the H-AP increases, the signal received at the wireless device gradually increases, which allows the wireless device to obtain more energy to send information, so for all solutions, the system throughput The amount increases as the transmit power of the H-AP increases. But the throughput of solution 2 is relatively low, because the signal transmission is completed through the direct link with high path loss. For solution 1, although the components of the smart reflector adopt random phase shifts, since both the smart reflector and the direct link between the H-AP and the wireless device can be used for signal transmission, the throughput of solution 1 Performance is better than option 2. For solution 3, because the smart reflector element of solution 3 adopts the best phase shift, the throughput performance of solution 3 is better than that of solutions 1 and 2. Furthermore, Fig. 2 also shows that when applying MRT and ZFRB at the H-AP, two suboptimal solutions with low complexity are obtained for the proposed system. It can be noticed that the MRT based on the effective channel has a slightly better throughput performance than the MRT based on the smart reflector. As the transmit power increases, the ZFRB performance degrades due to the simpler direction design of the receive beamforming.
图3是智能反射面元件数量和多无线设备吞吐量之间的关系示意,分析了带有智能反射面的无线能量传输网络中无线设备向H-AP发送信息期间的吞吐量。可以看出,随着智能反射面元件的增加,三种方案的吞吐量都有一定的增加,这是因为增加智能反射面的元件数量可以增加无线设备在给定时间内的接收功率。因此可以通过增加智能反射面的元件来提高系统的频谱效率和能量收集效率。Figure 3 is a schematic diagram of the relationship between the number of smart reflector components and the throughput of multiple wireless devices. The throughput during the period when the wireless device sends information to the H-AP in the wireless energy transmission network with the smart reflector is analyzed. It can be seen that with the increase of smart reflector elements, the throughput of the three schemes has a certain increase, because increasing the number of smart reflector elements can increase the received power of the wireless device within a given time. Therefore, the spectrum efficiency and energy collection efficiency of the system can be improved by increasing the components of the smart reflector.
图4分析了智能反射面与H-AP之间的距离对系统性能的影响,反映了智能反射面与H-AP之间的距离从50m到200m之间变化时,系统性能的变化。可以看出,当智能反射面更加靠近无线设备的时候,所有方案的性能都有所提高。Figure 4 analyzes the impact of the distance between the smart reflector and the H-AP on the system performance, reflecting the change in system performance when the distance between the smart reflector and the H-AP changes from 50m to 200m. It can be seen that the performance of all schemes improves when the smart reflective surface is brought closer to the wireless device.
由图2至图4可以看出,在H-AP发射功率变化、智能反射面元件数量变化、智能反射面与H-AP之间的距离变化等各种情况下,本发明提供的方案相对于现有技术,均提升了系统吞吐量。From Figures 2 to 4, it can be seen that under various circumstances such as changes in H-AP transmission power, changes in the number of smart reflector components, and changes in the distance between the smart reflector and the H-AP, the solution provided by the present invention is relatively The existing technologies all improve the system throughput.
应理解的是,在不违背本发明精神和范围的前提下,本领域技术人员可对上述实施例进行适当的改变或变型。例如,可以优化系统模型,如将系统中的混合接入点H-AP更改为分开独立的能量发送站和信息接收站,如图5所示,当使用该通信模型时,无线设备从能量发送站接收能量,然后发送信息给信息接收站,这时因为能量发送站发送的无线电能量可能在路径上有损失,所以可以设置多个能量发送站来增加无线设备所接收到的能量。又如,可采用其他的求解方式获得所构建的联合优化问题的解。It should be understood that those skilled in the art can make appropriate changes or modifications to the above-mentioned embodiments without departing from the spirit and scope of the present invention. For example, the system model can be optimized, such as changing the hybrid access point H-AP in the system to separate and independent energy sending station and information receiving station, as shown in Figure 5, when using this communication model, the wireless device transmits from the energy The station receives energy and then sends information to the information receiving station. At this time, because the radio energy sent by the energy sending station may be lost on the path, multiple energy sending stations can be set to increase the energy received by the wireless device. As another example, other solution methods may be used to obtain the solution of the constructed joint optimization problem.
综上所述,现有技术中带有IRS的无线通信系统是基于TDMA的,这意味着无线设备在上行阶段会被分配时隙来传输信息,但是在本申请的通信系统中,无线设备同时发送信息,所以信息传输速率和吞吐量优于现有方案,同时本发明采用的是多天线H-AP,所以无线设备接收到的信号强度要比单天线H-AP要高。在优化过程中,因为本发明在H-AP处设置接收 波束成形器,所以本发明的H-AP处收到的信号强度也比较高。此外,因为本发明对相移进行优化,所以信号与干扰加噪声比可以做到比较低。就优化算法来说,因为本发明的主问题可以使用所提出的算法在几步之内就完成收敛,具有收敛速度快的优势并且能够最大化系统吞吐量。To sum up, the wireless communication system with IRS in the prior art is based on TDMA, which means that the wireless device will be allocated time slots to transmit information during the uplink phase, but in the communication system of this application, the wireless device simultaneously Sending information, so the information transmission rate and throughput are better than the existing schemes. At the same time, the present invention uses multi-antenna H-AP, so the signal strength received by the wireless device is higher than that of the single-antenna H-AP. In the optimization process, because the present invention sets the receiving beamformer at the H-AP, the received signal strength at the H-AP of the present invention is also relatively high. Furthermore, because the invention optimizes the phase shift, the signal-to-interference-plus-noise ratio can be kept relatively low. As far as the optimization algorithm is concerned, since the main problem of the present invention can use the proposed algorithm to complete convergence within a few steps, it has the advantage of fast convergence speed and can maximize system throughput.
本发明可以是系统、方法和/或计算机程序产品。计算机程序产品可以包括计算机可读存储介质,其上载有用于使处理器实现本发明的各个方面的计算机可读程序指令。The present invention can be a system, method and/or computer program product. A computer program product may include a computer readable storage medium having computer readable program instructions thereon for causing a processor to implement various aspects of the present invention.
计算机可读存储介质可以是可以保持和存储由指令执行设备使用的指令的有形设备。计算机可读存储介质例如可以是但不限于电存储设备、磁存储设备、光存储设备、电磁存储设备、半导体存储设备或者上述的任意合适的组合。计算机可读存储介质的更具体的例子(非穷举的列表)包括:便携式计算机盘、硬盘、随机存取存储器(RAM)、只读存储器(ROM)、可擦式可编程只读存储器(EPROM或闪存)、静态随机存取存储器(SRAM)、便携式压缩盘只读存储器(CD-ROM)、数字多功能盘(DVD)、记忆棒、软盘、机械编码设备、例如其上存储有指令的打孔卡或凹槽内凸起结构、以及上述的任意合适的组合。这里所使用的计算机可读存储介质不被解释为瞬时信号本身,诸如无线电波或者其他自由传播的电磁波、通过波导或其他传输媒介传播的电磁波(例如,通过光纤电缆的光脉冲)、或者通过电线传输的电信号。A computer readable storage medium may be a tangible device that can retain and store instructions for use by an instruction execution device. A computer readable storage medium may be, for example, but is not limited to, an electrical storage device, a magnetic storage device, an optical storage device, an electromagnetic storage device, a semiconductor storage device, or any suitable combination of the foregoing. More specific examples (a non-exhaustive list) of computer-readable storage media include: portable computer diskettes, hard disks, random access memory (RAM), read-only memory (ROM), erasable programmable read-only memory (EPROM), or flash memory), static random access memory (SRAM), compact disc read only memory (CD-ROM), digital versatile disc (DVD), memory stick, floppy disk, mechanically encoded device, such as a printer with instructions stored thereon A hole card or a raised structure in a groove, and any suitable combination of the above. As used herein, computer-readable storage media are not to be construed as transient signals per se, such as radio waves or other freely propagating electromagnetic waves, electromagnetic waves propagating through waveguides or other transmission media (e.g., pulses of light through fiber optic cables), or transmitted electrical signals.
这里所描述的计算机可读程序指令可以从计算机可读存储介质下载到各个计算/处理设备,或者通过网络、例如因特网、局域网、广域网和/或无线网下载到外部计算机或外部存储设备。网络可以包括铜传输电缆、光纤传输、无线传输、路由器、防火墙、交换机、网关计算机和/或边缘服务器。每个计算/处理设备中的网络适配卡或者网络接口从网络接收计算机可读程序指令,并转发该计算机可读程序指令,以供存储在各个计算/处理设备中的计算机可读存储介质中。Computer-readable program instructions described herein may be downloaded from a computer-readable storage medium to a respective computing/processing device, or downloaded to an external computer or external storage device over a network, such as the Internet, a local area network, a wide area network, and/or a wireless network. The network may include copper transmission cables, fiber optic transmission, wireless transmission, routers, firewalls, switches, gateway computers, and/or edge servers. A network adapter card or a network interface in each computing/processing device receives computer-readable program instructions from the network and forwards the computer-readable program instructions for storage in a computer-readable storage medium in each computing/processing device .
用于执行本发明操作的计算机程序指令可以是汇编指令、指令集架构(ISA)指令、机器指令、机器相关指令、微代码、固件指令、状态设置数据、或者以一种或多种编程语言的任意组合编写的源代码或目标代码,所 述编程语言包括面向对象的编程语言—诸如Smalltalk、C++、Python等,以及常规的过程式编程语言—诸如“C”语言或类似的编程语言。计算机可读程序指令可以完全地在用户计算机上执行、部分地在用户计算机上执行、作为一个独立的软件包执行、部分在用户计算机上部分在远程计算机上执行、或者完全在远程计算机或服务器上执行。在涉及远程计算机的情形中,远程计算机可以通过任意种类的网络—包括局域网(LAN)或广域网(WAN)—连接到用户计算机,或者,可以连接到外部计算机(例如利用因特网服务提供商来通过因特网连接)。在一些实施例中,通过利用计算机可读程序指令的状态信息来个性化定制电子电路,例如可编程逻辑电路、现场可编程门阵列(FPGA)或可编程逻辑阵列(PLA),该电子电路可以执行计算机可读程序指令,从而实现本发明的各个方面。Computer program instructions for carrying out operations of the present invention may be assembly instructions, instruction set architecture (ISA) instructions, machine instructions, machine-related instructions, microcode, firmware instructions, state setting data, or Source or object code written in any combination, including object-oriented programming languages—such as Smalltalk, C++, Python, etc., and conventional procedural programming languages—such as the “C” language or similar programming languages. Computer readable program instructions may execute entirely on the user's computer, partly on the user's computer, as a stand-alone software package, partly on the user's computer and partly on a remote computer, or entirely on the remote computer or server implement. In cases involving a remote computer, the remote computer can be connected to the user computer through any kind of network, including a local area network (LAN) or a wide area network (WAN), or it can be connected to an external computer (such as via the Internet using an Internet service provider). connect). In some embodiments, an electronic circuit, such as a programmable logic circuit, field programmable gate array (FPGA), or programmable logic array (PLA), can be customized by utilizing state information of computer-readable program instructions, which can Various aspects of the invention are implemented by executing computer readable program instructions.
这里参照根据本发明实施例的方法、装置(系统)和计算机程序产品的流程图和/或框图描述了本发明的各个方面。应当理解,流程图和/或框图的每个方框以及流程图和/或框图中各方框的组合,都可以由计算机可读程序指令实现。Aspects of the present invention are described herein with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems) and computer program products according to embodiments of the invention. It should be understood that each block of the flowcharts and/or block diagrams, and combinations of blocks in the flowcharts and/or block diagrams, can be implemented by computer-readable program instructions.
这些计算机可读程序指令可以提供给通用计算机、专用计算机或其它可编程数据处理装置的处理器,从而生产出一种机器,使得这些指令在通过计算机或其它可编程数据处理装置的处理器执行时,产生了实现流程图和/或框图中的一个或多个方框中规定的功能/动作的装置。也可以把这些计算机可读程序指令存储在计算机可读存储介质中,这些指令使得计算机、可编程数据处理装置和/或其他设备以特定方式工作,从而,存储有指令的计算机可读介质则包括一个制造品,其包括实现流程图和/或框图中的一个或多个方框中规定的功能/动作的各个方面的指令。These computer-readable program instructions may be provided to a processor of a general purpose computer, special purpose computer, or other programmable data processing apparatus to produce a machine such that when executed by the processor of the computer or other programmable data processing apparatus , producing an apparatus for realizing the functions/actions specified in one or more blocks in the flowchart and/or block diagram. These computer-readable program instructions can also be stored in a computer-readable storage medium, and these instructions cause computers, programmable data processing devices and/or other devices to work in a specific way, so that the computer-readable medium storing instructions includes An article of manufacture comprising instructions for implementing various aspects of the functions/acts specified in one or more blocks in flowcharts and/or block diagrams.
也可以把计算机可读程序指令加载到计算机、其它可编程数据处理装置、或其它设备上,使得在计算机、其它可编程数据处理装置或其它设备上执行一系列操作步骤,以产生计算机实现的过程,从而使得在计算机、其它可编程数据处理装置、或其它设备上执行的指令实现流程图和/或框图中的一个或多个方框中规定的功能/动作。It is also possible to load computer-readable program instructions into a computer, other programmable data processing device, or other equipment, so that a series of operational steps are performed on the computer, other programmable data processing device, or other equipment to produce a computer-implemented process , so that instructions executed on computers, other programmable data processing devices, or other devices implement the functions/actions specified in one or more blocks in the flowcharts and/or block diagrams.
附图中的流程图和框图显示了根据本发明的多个实施例的系统、方法 和计算机程序产品的可能实现的体系架构、功能和操作。在这点上,流程图或框图中的每个方框可以代表一个模块、程序段或指令的一部分,所述模块、程序段或指令的一部分包含一个或多个用于实现规定的逻辑功能的可执行指令。在有些作为替换的实现中,方框中所标注的功能也可以以不同于附图中所标注的顺序发生。例如,两个连续的方框实际上可以基本并行地执行,它们有时也可以按相反的顺序执行,这依所涉及的功能而定。也要注意的是,框图和/或流程图中的每个方框、以及框图和/或流程图中的方框的组合,可以用执行规定的功能或动作的专用的基于硬件的系统来实现,或者可以用专用硬件与计算机指令的组合来实现。对于本领域技术人员来说公知的是,通过硬件方式实现、通过软件方式实现以及通过软件和硬件结合的方式实现都是等价的。The flowchart and block diagrams in the figures illustrate the architecture, functionality, and operation of possible implementations of systems, methods and computer program products according to various embodiments of the present invention. In this regard, each block in a flowchart or block diagram may represent a module, a portion of a program segment, or an instruction that includes one or more Executable instructions. In some alternative implementations, the functions noted in the block may occur out of the order noted in the figures. For example, two blocks in succession may, in fact, be executed substantially concurrently, or they may sometimes be executed in the reverse order, depending upon the functionality involved. It should also be noted that each block of the block diagrams and/or flowchart illustrations, and combinations of blocks in the block diagrams and/or flowchart illustrations, can be implemented by a dedicated hardware-based system that performs the specified function or action , or may be implemented by a combination of dedicated hardware and computer instructions. It is well known to those skilled in the art that implementation by means of hardware, implementation by means of software, and implementation by a combination of software and hardware are all equivalent.
以上已经描述了本发明的各实施例,上述说明是示例性的,并非穷尽性的,并且也不限于所披露的各实施例。在不偏离所说明的各实施例的范围和精神的情况下,对于本技术领域的普通技术人员来说许多修改和变更都是显而易见的。本文中所用术语的选择,旨在最好地解释各实施例的原理、实际应用或对市场中的技术改进,或者使本技术领域的其它普通技术人员能理解本文披露的各实施例。本发明的范围由所附权利要求来限定。Having described various embodiments of the present invention, the foregoing description is exemplary, not exhaustive, and is not limited to the disclosed embodiments. Many modifications and alterations will be apparent to those of ordinary skill in the art without departing from the scope and spirit of the described embodiments. The terminology used herein is chosen to best explain the principle of each embodiment, practical application or technical improvement in the market, or to enable other ordinary skilled in the art to understand each embodiment disclosed herein. The scope of the invention is defined by the appended claims.

Claims (9)

  1. 一种智能反射面辅助的无线通信系统,包括智能反射面IRS、混合接入点H-AP和用户端,其中混合接入点设置N T根天线,用于传输信号给用户,智能反射面配备M个反射单元,利用反射单元将来自混合接入点H-AP的信号反射传输给用户,用户端设置为K个配备单天线的无线设备,以接收来自混合接入点H-AP或者智能反射面传送的信号; A wireless communication system assisted by an intelligent reflective surface, including an intelligent reflective surface IRS, a hybrid access point H-AP, and a user terminal, wherein the hybrid access point is provided with NT root antennas for transmitting signals to users, and the intelligent reflective surface is equipped with M reflection units, using the reflection unit to reflect and transmit the signal from the hybrid access point H-AP to the user, the user end is set to K wireless devices equipped with a single antenna to receive signals from the hybrid access point H-AP or intelligent reflection The signal transmitted by the surface;
    其中通过构建对下行阶段的混合接入点H-AP的能量波束成形、上行阶段的混合接入点H-AP的信息接收波束成形、智能反射面在能量和信息传输的相移和时间分配的联合优化问题P1来最大化上行信息传输速率,该联合优化问题表示为:Among them, the energy beamforming of the hybrid access point H-AP in the downlink phase, the information receiving beamforming of the hybrid access point H-AP in the uplink phase, and the phase shift and time allocation of the energy and information transmission of the intelligent reflector are constructed. Joint optimization problem P1 to maximize the uplink information transmission rate, the joint optimization problem is expressed as:
    Figure PCTCN2022097839-appb-100001
    Figure PCTCN2022097839-appb-100001
    s.t.(1),||f||=1,
    Figure PCTCN2022097839-appb-100002
    st(1), ||f||=1,
    Figure PCTCN2022097839-appb-100002
    ||w i||=1,and
    Figure PCTCN2022097839-appb-100003
    ||w i ||=1, and
    Figure PCTCN2022097839-appb-100003
    其中,τ 0是用于能量传输的下行链路时间,τ 1=T-τ 0是用于信息传输的上行链路时间,T是时间长度总和,Θ D和Θ U分别表示智能反射面在下行链路和上行链路的对角反射系数矩阵,对于′#′∈[D,U],m∈{1,M},
    Figure PCTCN2022097839-appb-100004
    Figure PCTCN2022097839-appb-100005
    κ m∈(0,1],
    Figure PCTCN2022097839-appb-100006
    表示智能反射面第m个反射单元的反射角度和相移,
    Figure PCTCN2022097839-appb-100007
    表示能量波束成形向量,混合接入点H-AP使用接收波束成形W=[w 1,…,w K] H,
    Figure PCTCN2022097839-appb-100008
    ‖w i‖=1接收信息,γ i表示用户端的第i个无线设备在上行链路期间给混合接入点H-AP传输信息时的信号与干扰加噪声比,U表示上行,D表示下行,约束条件中的(1)表示τ 01=T。
    Among them, τ 0 is the downlink time for energy transmission, τ 1 = T-τ 0 is the uplink time for information transmission, T is the sum of the time lengths, Θ D and Θ U respectively represent the smart reflective surface in Diagonal reflection coefficient matrices for downlink and uplink, for '#'∈[D,U],m∈{1,M},
    Figure PCTCN2022097839-appb-100004
    Figure PCTCN2022097839-appb-100005
    κ m ∈ (0,1],
    Figure PCTCN2022097839-appb-100006
    Indicates the reflection angle and phase shift of the mth reflection unit of the smart reflection surface,
    Figure PCTCN2022097839-appb-100007
    Represents the energy beamforming vector, the hybrid access point H-AP uses receive beamforming W=[w 1 ,…,w K ] H ,
    Figure PCTCN2022097839-appb-100008
    ‖w i ‖=1 to receive information, γ i represents the signal-to-interference-plus-noise ratio when the i-th wireless device at the user end transmits information to the hybrid access point H-AP during the uplink period, U represents uplink, and D represents downlink , (1) in the constraints means τ 01 =T.
  2. 根据权利要求1所述的无线通信系统,其特征在于,根据以下步骤求解所述联合优化问题:The wireless communication system according to claim 1, wherein the joint optimization problem is solved according to the following steps:
    求解以下的松弛问题P1.1来获得智能反射面能量和信息传输的最佳时间分配τ 1Solve the following relaxation problem P1.1 to obtain the optimal time allocation τ 1 for the energy and information transmission of the smart reflector:
    Figure PCTCN2022097839-appb-100009
    Figure PCTCN2022097839-appb-100009
    s.t.(1).s.t.(1).
    求解以下的松弛问题P1.2来获得混合接入点H-AP的接收信息的波束成形的最佳W值:Solve the following relaxation problem P1.2 to obtain the optimal W value of the beamforming of the received information of the hybrid access point H-AP:
    Figure PCTCN2022097839-appb-100010
    Figure PCTCN2022097839-appb-100010
    s.t.||w i||=1. st||w i ||=1.
    通过求解以下的松弛问题P1.3获得混合接入点H-AP的发送波束成形的最佳f:The optimal f for the transmit beamforming of the hybrid access point H-AP is obtained by solving the following relaxation problem P1.3:
    Figure PCTCN2022097839-appb-100011
    Figure PCTCN2022097839-appb-100011
    s.t.||f||=1s.t.||f||=1
    对智能反射面的相移参数Θ #的优化转换为: The optimal transformation of the phase shift parameter Θ # of the smart reflector is:
    Figure PCTCN2022097839-appb-100012
    Figure PCTCN2022097839-appb-100012
    Figure PCTCN2022097839-appb-100013
    Figure PCTCN2022097839-appb-100013
    其中
    Figure PCTCN2022097839-appb-100014
    Figure PCTCN2022097839-appb-100015
    是混合接入点H-AP和智能反射面之间的有效信道获取量,
    Figure PCTCN2022097839-appb-100016
    表示混合接入点H-AP直接到第i个用户的信道向量,
    Figure PCTCN2022097839-appb-100017
    表示智能反射面直接到第i个用户的信道向量,
    Figure PCTCN2022097839-appb-100018
    表示混合接入点H-AP到智能反射面的信道矩阵,
    Figure PCTCN2022097839-appb-100019
    表示第i个用户到混合接入点H-AP的信道向量,
    Figure PCTCN2022097839-appb-100020
    表示第i个用户到智能反射面的信道 向量,
    Figure PCTCN2022097839-appb-100021
    表示智能反射面到H-AP的信道矩阵,并且有
    Figure PCTCN2022097839-appb-100022
    Figure PCTCN2022097839-appb-100023
    Z=Z D=Z U
    in
    Figure PCTCN2022097839-appb-100014
    Figure PCTCN2022097839-appb-100015
    is the effective channel acquisition amount between the hybrid access point H-AP and the smart reflector,
    Figure PCTCN2022097839-appb-100016
    Indicates the channel vector from the hybrid access point H-AP directly to the i-th user,
    Figure PCTCN2022097839-appb-100017
    represents the channel vector from the smart reflector directly to the i-th user,
    Figure PCTCN2022097839-appb-100018
    Indicates the channel matrix from the hybrid access point H-AP to the smart reflector,
    Figure PCTCN2022097839-appb-100019
    Indicates the channel vector from the i-th user to the hybrid access point H-AP,
    Figure PCTCN2022097839-appb-100020
    Indicates the channel vector from the i-th user to the smart reflector,
    Figure PCTCN2022097839-appb-100021
    Indicates the channel matrix from the smart reflector to the H-AP, and has
    Figure PCTCN2022097839-appb-100022
    Figure PCTCN2022097839-appb-100023
    Z = Z D = Z U .
  3. 根据权利要求3所述的无线通信系统,其特征在于,将问题P1.3进一步表示为问题P1.3.1:The wireless communication system according to claim 3, wherein the problem P1.3 is further expressed as a problem P1.3.1:
    Figure PCTCN2022097839-appb-100024
    Figure PCTCN2022097839-appb-100024
    s.t.||f||=1.s.t.||f||=1.
    其中,
    Figure PCTCN2022097839-appb-100025
    Figure PCTCN2022097839-appb-100026
    P表示混合接入点H-AP的发送功率,瑞利商有k个乘积项,并且对于对称矩阵E和G i,如果ψ i(w i#i)是对应于最大特征值ζ i(w i#i)的特征向量,可知当f(w i#i)=ψ i(w i#i)时,第i个瑞利商γ i(f)被最大化为ζ i(w i#i)。
    in,
    Figure PCTCN2022097839-appb-100025
    Figure PCTCN2022097839-appb-100026
    P represents the transmission power of the hybrid access point H-AP, the Rayleigh quotient has k product terms, and for the symmetric matrix E and G i , if ψ i (w i#i ) is corresponding to the largest eigenvalue ζ i (w i#i ), we know that when f(w i#i )=ψ i (w i#i ), the i-th Rayleigh quotient γ i (f) is maximized to ζ i (w i#i ).
  4. 根据权利要求3所述的无线通信系统,其特征在于,问题P1.3.1被转换为问题P1.3.2,表示为:The wireless communication system according to claim 3, characterized in that the problem P1.3.1 is transformed into a problem P1.3.2 expressed as:
    Figure PCTCN2022097839-appb-100027
    Figure PCTCN2022097839-appb-100027
    Figure PCTCN2022097839-appb-100028
    Figure PCTCN2022097839-appb-100028
    根据以下命题求解:Solve according to the following proposition:
    当δ 1=…=δ K时,
    Figure PCTCN2022097839-appb-100029
    的最大值出现,则最优的
    Figure PCTCN2022097839-appb-100030
    其中向量a=[1,…,1,0,…,0] T
    Figure PCTCN2022097839-appb-100031
    向量a包含K个1和N T-K个0,ψ i,i∈[1,K]代表第i个瑞利商的解,
    Figure PCTCN2022097839-appb-100032
    代表与K个向量ψ i空间正交的基向量。
    When δ 1 =…=δ K ,
    Figure PCTCN2022097839-appb-100029
    The maximum value appears, then the optimal
    Figure PCTCN2022097839-appb-100030
    where the vector a=[1,…,1,0,…,0] T ,
    Figure PCTCN2022097839-appb-100031
    Vector a contains K 1s and N T -K 0s, ψ i , i∈[1,K] represents the solution of the i-th Rayleigh quotient,
    Figure PCTCN2022097839-appb-100032
    Represents the basis vectors that are spatially orthogonal to the K vectors ψ i .
  5. 根据权利要求4所述的无线通信系统,其特征在于,问题P1.4被转换为:The wireless communication system according to claim 4, characterized in that problem P1.4 is transformed into:
    Figure PCTCN2022097839-appb-100033
    Figure PCTCN2022097839-appb-100033
    Figure PCTCN2022097839-appb-100034
    Figure PCTCN2022097839-appb-100034
    其中,假设最优的
    Figure PCTCN2022097839-appb-100035
    向量a[1,…,1,0,…,0] T,
    Figure PCTCN2022097839-appb-100036
    向量a包括k个1和M-K个0,i∈[1,K],代表第i个瑞利商的解,
    Figure PCTCN2022097839-appb-100037
    代表与k个向量
    Figure PCTCN2022097839-appb-100038
    空间正交的基向量,通过
    Figure PCTCN2022097839-appb-100039
    获得最优的θ #
    Figure PCTCN2022097839-appb-100040
    Among them, assuming the optimal
    Figure PCTCN2022097839-appb-100035
    vector a[1,…,1,0,…,0] T ,
    Figure PCTCN2022097839-appb-100036
    Vector a includes k 1s and MK 0s, i∈[1,K], representing the solution of the i-th Rayleigh quotient,
    Figure PCTCN2022097839-appb-100037
    Represents and k vectors
    Figure PCTCN2022097839-appb-100038
    Space-orthogonal basis vectors, via
    Figure PCTCN2022097839-appb-100039
    To obtain the optimal θ # ,
    Figure PCTCN2022097839-appb-100040
  6. 根据权利要求2所述的无线通信系统,其特征在于,对于混合接入点H-AP处配置ZFRB的情况下,问题P1.1被简化为:The wireless communication system according to claim 2, wherein, in the case where ZFRB is configured at the hybrid access point H-AP, problem P1.1 is simplified as:
    Figure PCTCN2022097839-appb-100041
    Figure PCTCN2022097839-appb-100041
    s.t.(1),||f||=1,ands.t.(1), ||f||=1, and
    Figure PCTCN2022097839-appb-100042
    Figure PCTCN2022097839-appb-100042
  7. 根据权利要求3所述的无线通信系统,其特征在于,对于混合接入点H-AP处配置MRT的情况下,在智能反射面的MRT中,混合接入点H-AP的搜索方向为
    Figure PCTCN2022097839-appb-100043
    在有效链路的MRT中,混合接入点H-AP的搜索方向为
    Figure PCTCN2022097839-appb-100044
    The wireless communication system according to claim 3, wherein, when the MRT is configured at the hybrid access point H-AP, in the MRT of the intelligent reflector, the search direction of the hybrid access point H-AP is
    Figure PCTCN2022097839-appb-100043
    In the MRT of the active link, the search direction of the hybrid access point H-AP is
    Figure PCTCN2022097839-appb-100044
  8. 根据权利要求2所述的无线通信系统,其特征在于,第i个无线设备在上行链路期间给混合接入点H-AP传输信息时的信号与干扰加噪声比表示为:The wireless communication system according to claim 2, wherein the signal-to-interference plus noise ratio when the i-th wireless device transmits information to the hybrid access point H-AP during the uplink period is expressed as:
    Figure PCTCN2022097839-appb-100045
    Figure PCTCN2022097839-appb-100045
  9. 一种计算机可读存储介质,其上存储有计算机程序,其中,该程序被处理器执行时实现以下步骤:A computer-readable storage medium, on which a computer program is stored, wherein, when the program is executed by a processor, the following steps are implemented:
    对于权利要求1至8任一项所述的智能反射面辅助的无线通信系统, 通过构建对下行阶段的混合接入点H-AP的能量波束成形、上行阶段的混合接入点H-AP的信息接收波束成形、智能反射面在能量和信息传输的相移和时间分配的联合优化问题P1来最大化上行信息传输速率,该联合优化问题表示为:For the intelligent reflector-assisted wireless communication system according to any one of claims 1 to 8, by constructing the energy beamforming of the hybrid access point H-AP in the downlink phase, the energy beamforming of the hybrid access point H-AP in the uplink phase The joint optimization problem P1 of information receiving beamforming, phase shift and time allocation of energy and information transmission of intelligent reflectors to maximize the uplink information transmission rate, the joint optimization problem is expressed as:
    Figure PCTCN2022097839-appb-100046
    Figure PCTCN2022097839-appb-100046
    s.t.(1),||f||=1,
    Figure PCTCN2022097839-appb-100047
    st(1), ||f||=1,
    Figure PCTCN2022097839-appb-100047
    ||w i||=1,and
    Figure PCTCN2022097839-appb-100048
    ||w i ||=1, and
    Figure PCTCN2022097839-appb-100048
    其中,τ 0是用于能量传输的下行链路时间,τ 1=T-τ 0是用于信息传输的上行链路时间,T是时间长度总和,Θ D和Θ U分别表示智能反射面在下行链路和上行链路的对角反射系数矩阵,对于′#′∈[D,U],m∈{1,M},
    Figure PCTCN2022097839-appb-100049
    Figure PCTCN2022097839-appb-100050
    κ m∈(0,1],
    Figure PCTCN2022097839-appb-100051
    表示智能反射面第m个反射单元的反射角度和相移,
    Figure PCTCN2022097839-appb-100052
    表示能量波束成形向量,混合接入点H-AP使用接收波束成形W=[w 1,…,w K] H,
    Figure PCTCN2022097839-appb-100053
    ‖w i‖=1接收信息,γ i表示用户端的第i个无线设备在上行链路期间给混合接入点H-AP传输信息时的信号与干扰加噪声比,U表示上行,D表示下行。
    Among them, τ 0 is the downlink time for energy transmission, τ 1 = T-τ 0 is the uplink time for information transmission, T is the sum of the time lengths, Θ D and Θ U respectively represent the smart reflective surface in Diagonal reflection coefficient matrices for downlink and uplink, for '#'∈[D,U],m∈{1,M},
    Figure PCTCN2022097839-appb-100049
    Figure PCTCN2022097839-appb-100050
    κ m ∈ (0,1],
    Figure PCTCN2022097839-appb-100051
    Indicates the reflection angle and phase shift of the mth reflection unit of the smart reflection surface,
    Figure PCTCN2022097839-appb-100052
    Represents the energy beamforming vector, the hybrid access point H-AP uses receive beamforming W=[w 1 ,…,w K ] H ,
    Figure PCTCN2022097839-appb-100053
    ‖w i ‖=1 to receive information, γ i represents the signal-to-interference-plus-noise ratio when the i-th wireless device at the user end transmits information to the hybrid access point H-AP during the uplink period, U represents uplink, and D represents downlink .
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