CN115173901A - IRS (intelligent communications system) -assisted MISO (multiple input single output) wireless energy-carrying communication system energy efficiency maximization method - Google Patents

IRS (intelligent communications system) -assisted MISO (multiple input single output) wireless energy-carrying communication system energy efficiency maximization method Download PDF

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CN115173901A
CN115173901A CN202210634256.2A CN202210634256A CN115173901A CN 115173901 A CN115173901 A CN 115173901A CN 202210634256 A CN202210634256 A CN 202210634256A CN 115173901 A CN115173901 A CN 115173901A
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irs
user
energy
base station
beam forming
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陈保豪
田霖
朱一峰
陆国生
李任新
张承亮
彭子瑶
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Super High Transmission Co of China South Electric Net Co Ltd
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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
    • H04B7/04013Intelligent 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
    • H04B7/0413MIMO systems
    • H04B7/0426Power distribution
    • H04B7/043Power distribution using best eigenmode, e.g. beam forming or beam steering
    • 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
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W16/00Network planning, e.g. coverage or traffic planning tools; Network deployment, e.g. resource partitioning or cells structures
    • H04W16/02Resource partitioning among network components, e.g. reuse partitioning
    • H04W16/10Dynamic resource partitioning
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W16/00Network planning, e.g. coverage or traffic planning tools; Network deployment, e.g. resource partitioning or cells structures
    • H04W16/22Traffic simulation tools or models
    • 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

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Abstract

The invention discloses an IRS (intelligent communications system) -assisted MISO (multiple input single output) wireless energy-carrying communication system energy efficiency maximization method. The method comprises the following steps: constructing an intelligent reflector assisted MISO wireless energy-carrying communication system, wherein each user can collect information and receive energy by using a power distribution scheme; establishing a mathematical model for maximizing system energy efficiency; and designing and analyzing an alternating optimization algorithm for jointly optimizing the transmitting beam forming vector, the reflecting beam forming vector and the power distribution factor to complete the maximization of the system energy efficiency. According to the invention, the intelligent reflecting surface is deployed in the wireless energy-carrying communication system, meanwhile, a power distribution strategy is utilized, a mathematical optimization problem of the system model based on the maximized energy efficiency is established, and an alternating optimization algorithm is applied to jointly optimize the transmitting beam forming vector, the reflecting beam forming vector and the power distribution factor, so that the energy efficiency of the system is maximized while the minimum communication rate requirement and the minimum energy collection requirement of each user are met.

Description

IRS (intelligent communications system) -assisted MISO (multiple input single output) wireless energy-carrying communication system energy efficiency maximization method
Technical Field
The invention relates to the technical field of wireless communication, in particular to an energy efficiency maximization method of a MISO wireless energy-carrying communication system based on IRS assistance.
Background
Fifth generation communication networks utilize different advanced technologies to greatly improve the spectral and energy efficiency of communication systems. However, these techniques tend to suffer from high power consumption and high implementation cost, which has constituted a bottleneck in designing a practical system. For example, internet of things devices are often limited by battery capacity. Therefore, there is a need for an extensible and sustainable solution to enable ubiquitous connectivity and continuous energy supply for these devices in 5G and beyond wireless networks.
The intelligent reflecting surface can realize high beam gain under the condition of obviously reducing energy consumption and hardware cost. The intelligent reflective surface may be installed outside a building to provide energy-saving wireless communication by reducing transmission power of a base station. The intelligent reflecting surface is composed of a large number of adjustable passive units arranged on the planar array, so that a more favorable wireless propagation channel can be established, and more reliable communication is realized. These passive components have the advantage of being cost-effective and energy efficient, and can intelligently adjust the phase and amplitude of the signal to independently control the incident signal. Thus, the reflected signal and the direct signal of the base station can be coherently combined at the desired receiver to improve the signal-to-interference-and-noise ratio of the receiver. Therefore, the intelligent reflector is a subversive technology, which can make the signal propagation environment intelligent, which can benefit industries such as traffic, manufacturing, smart cities and the like in 5G/6G.
In addition, the wireless energy-carrying communication network only propagates information in distinction from the traditional wireless communication, and can simultaneously transmit energy signals to the wireless devices when propagating wireless signals of traditional information type. After the wireless energy-carrying communication technology is applied, the cost of wires and flat cables can be reduced, the trouble of replacing batteries for wireless equipment can be avoided, and meanwhile, the energy efficiency of a communication system is improved. Therefore, there is a need for an optimization technique that can improve the energy efficiency of the communication system, configure the communication environment reasonably, and maximize the energy efficiency of the system. Users in the existing IRS-assisted wireless energy-carrying communication system are mostly divided into energy users and information users, which receive energy and information, respectively. Therefore, further research is needed to enable information decoding and energy reception for all users in a communication system.
Disclosure of Invention
In order to overcome the defects and shortcomings of the prior art, the invention provides an IRS (intelligent reflector) -assisted MISO (multiple input single output) wireless energy-carrying communication system-based energy efficiency maximization method.
A second object of the present invention is to provide an energy efficiency maximization system of the miss wireless energy-carrying communication system based on IRS assistance.
A third object of the present invention is to provide a computer-readable storage medium.
It is a fourth object of the invention to provide a computing device.
In order to achieve the purpose, the invention adopts the following technical scheme:
an energy efficiency maximization method of a MISO wireless energy-carrying communication system based on IRS assistance comprises the following steps:
establishing a downlink channel model of the intelligent reflector assisted MISO wireless energy-carrying communication network, and combining a reflection path reflected by the intelligent reflector with a direct path to form a channel model between a base station and users, wherein each user uses a power distribution scheme to collect information and receive energy;
establishing a mathematical model based on system energy efficiency maximization aiming at a downlink channel model, wherein the mathematical model comprises a mathematical expression for determining an optimization variable, an objective function and a constraint condition, and the optimization variable comprises: a base station transmits a beam forming vector, an intelligent reflecting surface reflection beam forming vector and a power distribution factor;
constructing an alternative optimization algorithm for analyzing and jointly optimizing a base station transmitting beam forming vector, an intelligent reflecting surface reflecting beam forming vector and a power distribution factor, and completing the maximization of system energy efficiency;
the alternating optimization algorithm specifically comprises:
fixing a reflected beam forming vector and a power distribution factor, and optimizing the transmitted beam forming vector by using a dinkelbach method, an SCA (supervisory control and data acquisition) technology and an SDR (standard definition link) technology;
optimizing a reflection beam forming vector at the IRS by using a dinkelbach method, SDR and SCA technology;
optimizing power distribution factors at a user by using a dinkelbach method;
and alternately optimizing until convergence.
As a preferred technical scheme, the intelligent reflector-assisted multi-user MISO wireless energy-carrying communication network comprises a base station provided with M antennas, an intelligent reflector-assisted base station and K single-antenna users;
order to
Figure BDA0003681354090000031
An index representing a set of users is provided,
Figure BDA0003681354090000032
index representing IRS reflection unit set, order
Figure BDA0003681354090000033
Representing the base station transmit beamforming vector, s k Representing a userk desired signal;
the channels from base station to user, base station to IRS and IRS to user are respectively represented as
Figure BDA0003681354090000034
Figure BDA0003681354090000035
And
Figure BDA0003681354090000036
simultaneously representing reflected beamforming vectors as
Figure BDA0003681354090000037
The transmission signal of the base station is represented as:
Figure BDA0003681354090000038
the combined channel from the base station to the user via the IRS is denoted as
Figure BDA0003681354090000039
Wherein,
Figure BDA00036813540900000310
the user uses a power allocation strategy to achieve the effect of receiving signals and energy simultaneously.
As a preferred technical solution, the establishing of the mathematical model based on system energy efficiency maximization for the downlink channel model specifically includes:
at the user, using the power allocation strategy, the signal received at user k is represented as:
Figure BDA00036813540900000311
wherein
Figure BDA00036813540900000312
Representing white gaussian noise while treating the interference of other users as noise, the rate at user k is represented as:
Figure BDA0003681354090000041
the total system rate is expressed as:
Figure BDA0003681354090000042
the energy received by user k is represented as:
Figure BDA0003681354090000043
where η represents the energy conversion efficiency, and the total received energy of the system is represented as:
Figure BDA0003681354090000044
the total power consumption of the system is therefore:
Figure BDA0003681354090000045
where ζ represents the reciprocal of the drain efficiency of the transmit power amplifier, P C Represents the system circuit loss, P T Representing the power consumption, P, of each transmit antenna n (b) Represents the power consumption of each IRS reflection unit;
the energy efficiency of the system is the ratio of the total transmission rate to the energy consumption, and is expressed by a mathematical model as:
Figure BDA0003681354090000046
the constraint conditions of the mathematical model based on the energy efficiency maximization of the system comprise:
user minimum rate:
Figure BDA0003681354090000051
R min is the minimum rate;
minimum received energy of user:
Figure BDA0003681354090000052
E min is the minimum received energy;
maximum transmission power of the base station:
Figure BDA0003681354090000053
P m is the base station maximum transmit power;
power allocation factor constraint:
Figure BDA0003681354090000054
and (3) intelligent reflecting surface constraint:
Figure BDA0003681354090000055
the mathematical model for energy efficiency maximization based on the system is as follows:
Figure BDA0003681354090000056
Figure BDA0003681354090000057
Figure BDA0003681354090000058
Figure BDA00036813540900000510
Figure BDA00036813540900000511
as a preferred technical solution, a reflected beam forming vector and a power allocation factor are fixed, and the optimization problem of the transmitted beam forming vector is expressed as:
the objective function is:
Figure BDA00036813540900000512
the constraint conditions are as follows:
Figure BDA0003681354090000061
Figure BDA0003681354090000062
Figure BDA0003681354090000063
Figure BDA0003681354090000064
Figure BDA0003681354090000065
the target function is converted into a subtractive equation by using a Dinkelbach method:
Figure BDA0003681354090000066
the subtraction is converted to the convex problem using the SCA method, introducing two variables:
Figure BDA0003681354090000067
Figure BDA0003681354090000068
thus is provided with
Figure BDA0003681354090000069
Problem P2 translates into:
Figure BDA00036813540900000610
Figure BDA00036813540900000611
Figure BDA0003681354090000071
Figure BDA0003681354090000072
Figure BDA0003681354090000073
Figure BDA0003681354090000074
Figure BDA0003681354090000075
Figure BDA0003681354090000076
using the SCA method
Figure BDA0003681354090000077
The transformation is to a convex constraint,
Figure BDA0003681354090000078
in that
Figure BDA0003681354090000079
The taylor expansion of (a) is:
Figure BDA00036813540900000710
Figure BDA00036813540900000711
conversion to:
Figure BDA00036813540900000712
relaxing constraints using SDR techniques
Figure BDA00036813540900000713
The following problems are optimized:
Figure BDA00036813540900000714
Figure BDA00036813540900000715
Figure BDA00036813540900000716
Figure BDA00036813540900000717
Figure BDA00036813540900000718
Figure BDA00036813540900000719
where K denotes the index of the set of users, N denotes the index of the set of IRS reflection units, w k Representing base station transmit beamforming vector, p k Represents the power division factor, s k Represents the signal desired by user k, G, h k And f k Denotes the base station to user, base station to IRS and IRS to user channels, respectively, v denotes the reflected beamforming vector, and ζ denotes the reciprocal of the transmit power amplifier drain efficiency.
As an optimal technical scheme, a dinkelbach method, an SDR (standard definition link) and an SCA (supervisory control and ranging) technology are used for optimizing a reflection beam forming vector at an IRS (infrared receiver system), and the specific steps comprise:
fixing the transmit beamforming vector and the power allocation factor, and expressing the original optimization as follows by using a Dinkelbach method:
Figure BDA0003681354090000081
Figure BDA0003681354090000082
Figure BDA0003681354090000083
Figure BDA0003681354090000084
V N+1,N+1 =1,
V≥0,
rank(V)≤1.
wherein,
Figure BDA0003681354090000085
the original optimization problem is represented as follows by using a Dinkelbach method:
Figure BDA0003681354090000086
Figure BDA0003681354090000091
Figure BDA0003681354090000092
Figure BDA0003681354090000093
V N+1,N+1 =1,
V≥0,
rank(V)≤1.
using the SCA and SDR methods, two variables were introduced:
Figure BDA0003681354090000094
Figure BDA0003681354090000095
Figure BDA0003681354090000096
in that
Figure BDA0003681354090000097
The first order Taylor expansion of (1) is:
Figure BDA0003681354090000098
using the SCA method and relaxing rank (V). Ltoreq.1, this non-convex constraint, problem P3 is described as:
Figure BDA0003681354090000099
Figure BDA00036813540900000910
Figure BDA00036813540900000911
Figure BDA00036813540900000912
Figure BDA00036813540900000913
V N+1,N+1 =1
where K denotes the index of the set of users, N denotes the index of the set of IRS reflection units, w k Representing base station transmit beamforming vector, p k Represents the power division factor, s k Represents the signal desired by user k, G, h k And f k Denotes the base station to user, base station to IRS and IRS to user channels, respectively, v denotes the reflected beamforming vector, and ζ denotes the reciprocal of the transmit power amplifier drain efficiency.
As a preferred technical scheme, a dinkelbach method is used for optimizing power distribution factors at a user, and the method specifically comprises the following steps:
the optimization problem with respect to power allocation factors is represented by fixing the transmit beamforming vector and the reflected beamforming vector as follows:
Figure BDA0003681354090000101
Figure BDA0003681354090000102
Figure BDA0003681354090000103
Figure BDA0003681354090000104
where K denotes the index of the set of users, N denotes the index of the set of IRS reflection units, w k Representing base station transmit beamforming vector, p k Represents the power division factor, s k Represents the signal desired by user k, G, h k And f k Denotes the base station to user, base station to IRS and IRS to user channels, respectively, v denotes the reflected beamforming vector, and ζ denotes the reciprocal of the transmit power amplifier drain efficiency.
In order to achieve the second object, the invention adopts the following technical scheme:
an energy efficiency maximization system for an IRS-assisted MISO wireless energy-carrying communication system, comprising: the system comprises a channel model building module, an energy efficiency maximization model building module and an alternative optimization module;
the channel model building module is used for building a downlink channel model of the intelligent reflector assisted MISO wireless energy-carrying communication network, and combining a reflection path reflected by the intelligent reflector with a direct path to form a channel model between a base station and users, wherein each user uses a power distribution scheme to collect information and receive energy;
the energy efficiency maximization model building module is used for building a mathematical model based on system energy efficiency maximization aiming at a downlink channel model, and comprises mathematical expressions for determining optimization variables, an objective function and constraint conditions, wherein the optimization variables comprise: a base station transmits a beam forming vector, an intelligent reflecting surface reflection beam forming vector and a power distribution factor;
the alternate optimization module is used for constructing an alternate optimization algorithm for analyzing and jointly optimizing a base station transmitting beam forming vector, an intelligent reflecting surface reflecting beam forming vector and a power distribution factor to complete the maximization of the system energy efficiency;
the alternating optimization algorithm specifically comprises:
fixing a reflected beam forming vector and a power distribution factor, and optimizing the transmitted beam forming vector by using a dinkelbach method, an SCA (supervisory control and data acquisition) technology and an SDR (standard definition link) technology;
optimizing a reflection beam forming vector at the IRS by using a dinkelbach method, SDR and SCA technology;
optimizing a power distribution factor at a user by using a dinkelbach method;
and alternately optimizing until convergence.
In order to achieve the third object, the invention adopts the following technical scheme:
a computer-readable storage medium storing a program which, when executed by a processor, implements the above-described energy efficiency maximizing method for the IRS-based assisted MISO wireless energy-carrying communication system.
In order to achieve the fourth object, the invention adopts the following technical scheme:
a computing device comprising a processor and a memory for storing processor-executable programs that, when executed by the processor, implement the above-described method for maximizing energy efficiency in an IRS-based assisted MISO wireless energy-carrying communication system.
Compared with the prior art, the invention has the following advantages and beneficial effects:
(1) According to the invention, an intelligent reflector-assisted MIMO wireless energy-carrying communication system model is constructed, an IRS system is introduced for communication assistance, an alternative optimization algorithm for jointly optimizing a transmitting beam forming vector, a reflecting beam forming vector and a power distribution factor is designed and analyzed, and the maximization of the system energy efficiency is completed; the invention adopts the SWIPT technology based on power distribution, solves the technical problem that an energy receiver and a signal receiver need two different receivers, achieves the technical effects that a user can simultaneously receive signals and store energy, can compensate communication energy consumption to a certain extent by using the stored energy per se, and further improves the energy efficiency of a communication system; meanwhile, the intelligent reflecting surface is deployed in the communication system, so that the communication environment can be reasonably configured, and higher energy efficiency is obtained.
Drawings
FIG. 1 is a schematic flow chart of an energy efficiency maximization method of an IRS-assisted MISO wireless energy-carrying communication system according to the present invention;
FIG. 2 is a schematic diagram of a model of an intelligent reflector-assisted MIMO wireless energy-carrying communication system according to the present invention;
FIG. 3 is a schematic flow chart of an alternative optimization algorithm of the present invention;
FIG. 4 is a diagram illustrating simulation results of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
Example 1
As shown in fig. 1, the embodiment provides an energy efficiency maximization method of a MISO wireless energy-carrying communication system based on IRS assistance, which includes the following steps:
s1: establishing a downlink channel model of the intelligent reflector assisted MISO wireless energy-carrying communication network; combining the reflection path reflected by the intelligent reflection surface with the direct path to form a channel model between the base station and users, wherein each user can collect information and receive energy by using a power distribution scheme;
as shown in fig. 2, the MISO wireless energy-carrying communication network with the assistance of the intelligent reflector comprises a base station with M antennas, the assistance of the intelligent reflector and K single-antenna users. Wherein the user uses a power allocation strategy to achieve the effect of receiving signals and energy simultaneously;
order to
Figure BDA0003681354090000131
An index representing a set of users is provided,
Figure BDA0003681354090000132
index representing set of IRS reflection units, and order
Figure BDA0003681354090000133
Representing the base station transmit beamforming vector, s k Representing the signal desired by user k. In addition, the base station to user, base station to IRS and IRS to user channels are denoted as
Figure BDA0003681354090000134
Figure BDA0003681354090000135
And
Figure BDA0003681354090000136
simultaneously representing reflected beamforming vectors as
Figure BDA0003681354090000137
Thus, the transmission signal of the base station can be expressed as:
Figure BDA0003681354090000138
the combined channel from the base station to the user via the IRS can be represented as
Figure BDA0003681354090000139
Wherein
Figure BDA00036813540900001310
S2: establishing a mathematical model based on system energy efficiency maximization aiming at a downlink channel model, wherein the mathematical model comprises a mathematical expression for determining an optimization variable, an objective function and a constraint condition;
the step S2 includes the steps of:
at the user, using a power allocation strategy, let ρ k A factor is allocated for the power. Thus, the signal received at user k can be expressed as:
Figure BDA00036813540900001311
whereinn k Representing gaussian white noise. While considering the interference of other users as noise, the rate at user k can be expressed as:
Figure BDA0003681354090000141
thus, the total system rate can be expressed as:
Figure BDA0003681354090000142
on the other hand, the energy received by user k can be expressed as:
Figure BDA0003681354090000143
where η represents the energy conversion efficiency. The total received energy of the system can thus be expressed as:
Figure BDA0003681354090000144
the total power consumption of the system is therefore:
Figure BDA0003681354090000145
where ζ represents the reciprocal of the drain efficiency of the transmit power amplifier, P C Represents the system circuit loss, P T Representing the power consumption, P, of each transmit antenna n (b) Representing the power consumption of each IRS reflection unit.
The energy efficiency of the system is the ratio of the total transmission rate to the energy consumption, and can be expressed by a mathematical model as:
Figure BDA0003681354090000146
the optimization variables of the mathematical model based on the maximization of the system energy efficiency in the embodiment comprise:
1) The base station transmits a beamforming vector, i.e. { w k };
2) The intelligent reflecting surface reflects a beam forming vector, namely v;
3) Power division factor, i.e. { ρ k };
The constraint conditions of the mathematical model based on the energy efficiency maximization of the system comprise:
(1) User minimum rate:
Figure BDA0003681354090000151
R min is the minimum rate;
(2) User minimum received energy:
Figure BDA0003681354090000152
E min is the minimum received energy;
(3) Maximum transmission power of the base station:
Figure BDA0003681354090000153
pm is the maximum transmitting power of the base station;
(4) Power allocation factor constraint:
Figure BDA0003681354090000154
(5) And (3) intelligent reflecting surface constraint:
Figure BDA0003681354090000155
the mathematical model for energy efficiency maximization based on the system is as follows:
Figure BDA0003681354090000156
Figure BDA0003681354090000157
Figure BDA0003681354090000158
Figure BDA0003681354090000159
Figure BDA00036813540900001510
s3: according to a specific mathematical model, constructing and analyzing an alternative optimization algorithm for jointly optimizing a base station transmitting beam forming vector, an intelligent reflecting surface reflecting beam forming vector and a power distribution factor, and completing maximization of system energy efficiency;
as shown in fig. 3, the alternative optimization algorithm includes the following steps:
fixed reflected beam forming vector v and power allocation factor [ rho ] k When the objective function is with respect to the transmit beamforming vector w k Solving by using a dinkelbach method and a continuous convex approximation (SCA) and semi-definite relaxation (SDR) technology;
based on the transmit beamforming vector w k }, fixed power allocation factor [ rho ] k At the moment, the target function becomes a function about a reflected beam forming vector v, and a dinkelbach method and continuous convex approximation (SCA) and semi-definite relaxation (SDR) technology are used for solving;
based on the transmit beamforming vector w k And a reflection beam forming vector v, and optimizing a power distribution factor [ rho ] by using a dinkelbach method k }。
Step S3 includes the following steps:
s3.1 fixing v and { ρ k H, optimize { w k }. The equivalent channel from the base station to user k at this time can be represented as
Figure BDA0003681354090000161
Order to
Figure BDA0003681354090000162
Thus, optimization of transmit beamforming vectorsThe problem can be expressed as:
Figure BDA0003681354090000163
Figure BDA0003681354090000164
Figure BDA0003681354090000165
Figure BDA0003681354090000171
Figure BDA0003681354090000172
Figure BDA0003681354090000173
the fractional objective function (14) is then converted to a subtractive equation using the Dinkelbach method:
Figure BDA0003681354090000174
the SCA method is used to convert (20) to a convex problem. Two variables were introduced:
Figure BDA0003681354090000175
Figure BDA0003681354090000176
thus is provided with
Figure BDA0003681354090000177
On the basis of the above, the problem P2 can be converted into:
Figure BDA0003681354090000178
Figure BDA0003681354090000179
Figure BDA00036813540900001710
Figure BDA00036813540900001711
Figure BDA00036813540900001712
Figure BDA00036813540900001713
Figure BDA0003681354090000181
Figure BDA0003681354090000182
the (26) is converted to convex constraints using the SCA method.
Figure BDA0003681354090000183
In that
Figure BDA0003681354090000184
The taylor expansion of (a) is:
Figure BDA0003681354090000185
thus (26) can be written as:
Figure BDA0003681354090000186
using SDR technique relaxation constraints (31), the following problem is optimized:
Figure BDA0003681354090000187
Figure BDA0003681354090000188
Figure BDA0003681354090000189
Figure BDA00036813540900001810
Figure BDA00036813540900001811
Figure BDA00036813540900001812
(P2.2) the optimization problem regarding transmit beamforming becomes a convex problem and can be solved with CVX.
S3.2 in fixed { w k And { ρ k V is optimized. Definition c k,i =Φ k w i And
Figure BDA00036813540900001813
thus, there are:
Figure BDA00036813540900001814
wherein,
Figure BDA00036813540900001815
simultaneous definition of
Figure BDA00036813540900001816
Wherein
Figure BDA00036813540900001817
Definition of
Figure BDA00036813540900001818
Using the Dinkelbach method, the original overall problem (P1) can be further expressed as:
Figure BDA0003681354090000191
Figure BDA0003681354090000192
Figure BDA0003681354090000193
Figure BDA0003681354090000194
V N+1,N+1 =1, (45)
V≥0, (46)
rank(V)≤1. (47)
SCA and SDR methods are used. Two variables were introduced:
Figure BDA0003681354090000195
Figure BDA0003681354090000196
Figure BDA0003681354090000197
in that
Figure BDA0003681354090000198
The first order Taylor expansion of (1) is:
Figure BDA0003681354090000199
using the SCA method and relaxing (47) this non-convex constraint, the problem (P3) can be further described as:
Figure BDA00036813540900001910
Figure BDA00036813540900001911
Figure BDA00036813540900001912
Figure BDA00036813540900001913
Figure BDA00036813540900001914
V N+1,N+1 =1. (55)
up to now, the optimization problem regarding reflected beam forming becomes a convex problem, which can be solved with CVX.
S3.3 fixation { w k In the case of { ρ } and v, optimization of { ρ } using Dinkelbach's method k }. Thus, with respect to { ρ k The optimization problem can be expressed as:
Figure BDA0003681354090000201
Figure BDA0003681354090000202
Figure BDA0003681354090000203
Figure BDA0003681354090000204
problem (P4) is a convex problem and can therefore be solved using a specialized convex optimization toolkit CVX.
S3.4 combines the above { w k V and [ rho ] k And (4) the solution method alternately optimizes the three sub-problems, namely, the original energy efficiency maximization problem (P1) can be solved.
As shown in fig. 4, the simulation result of the present invention is obtained, and it can be seen from the figure that as the number of IRS units increases, the energy efficiency of the system also increases, which fully explains that deploying IRS in the wireless energy-carrying communication system can improve the energy efficiency of the system.
Example 2
The embodiment provides an energy efficiency maximization system of a MISO wireless energy-carrying communication system based on IRS assistance, which comprises: the system comprises a channel model building module, an energy efficiency maximization model building module and an alternative optimization module;
as a preferred technical solution, the channel model building module is configured to build a downlink channel model of the MISO wireless energy-carrying communication network assisted by the intelligent reflector, and combine a reflection path reflected by the intelligent reflector with a direct path to form a channel model between the base station and the users, where each user uses a power allocation scheme to perform information collection and energy reception;
as a preferred technical solution, the energy efficiency maximization model building module is configured to build a mathematical model based on system energy efficiency maximization for a downlink channel model, where the mathematical model includes a mathematical expression for determining an optimization variable, an objective function, and a constraint condition, and the optimization variable includes: a base station transmits a beam forming vector, an intelligent reflecting surface reflection beam forming vector and a power distribution factor;
as an optimal technical scheme, the alternate optimization module is used for constructing an alternate optimization algorithm for analyzing and jointly optimizing a base station transmitting beam forming vector, an intelligent reflecting surface reflecting beam forming vector and a power distribution factor, and the maximization of the system energy efficiency is completed;
as a preferred technical solution, the alternating optimization algorithm specifically includes:
fixing a reflected beam forming vector and a power distribution factor, and optimizing the transmitted beam forming vector by using a dinkelbach method, an SCA (supervisory control and data acquisition) technology and an SDR (standard definition link) technology;
optimizing a reflection beam forming vector at the IRS by using a dinkelbach method, SDR and SCA technology;
optimizing power distribution factors at a user by using a dinkelbach method;
and alternately optimizing until convergence.
Example 3
The present embodiment provides a storage medium, which may be a storage medium such as a ROM, a RAM, a magnetic disk, an optical disk, etc., and the storage medium stores one or more programs, and when the programs are executed by a processor, the method for maximizing the energy efficiency of the IRS-assistance-based MISO wireless energy-carrying communication system of embodiment 1 is implemented.
Example 4
The embodiment provides a computing device, which may be a desktop computer, a notebook computer, a smart phone, a PDA handheld terminal, a tablet computer or other terminal device with a display function, and includes a processor and a memory, where the memory stores one or more programs, and when the processor executes the programs stored in the memory, the method for maximizing the energy efficiency of the miss wireless energy-carrying communication system based on IRS assistance in embodiment 1 is implemented.
The above embodiments are preferred embodiments of the present invention, but the present invention is not limited to the above embodiments, and any other changes, modifications, substitutions, combinations, and simplifications which do not depart from the spirit and principle of the present invention should be construed as equivalents thereof, and all such changes, modifications, substitutions, combinations, and simplifications are intended to be included in the scope of the present invention.

Claims (9)

1. An IRS-assisted MISO wireless energy-carrying communication system energy efficiency maximization method, which is characterized by comprising the following steps:
establishing a downlink channel model of the intelligent reflector assisted MISO wireless energy-carrying communication network, and combining a reflection path reflected by the intelligent reflector with a direct path to form a channel model between a base station and users, wherein each user uses a power distribution scheme to collect information and receive energy;
establishing a mathematical model based on system energy efficiency maximization aiming at a downlink channel model, wherein the mathematical model comprises a mathematical expression for determining an optimization variable, an objective function and a constraint condition, and the optimization variable comprises: a base station transmits a beam forming vector, an intelligent reflecting surface reflection beam forming vector and a power distribution factor;
constructing an alternative optimization algorithm for analyzing and jointly optimizing a base station transmitting beam forming vector, an intelligent reflecting surface reflecting beam forming vector and a power distribution factor, and completing the maximization of system energy efficiency;
the alternating optimization algorithm specifically comprises:
fixing a reflected beam forming vector and a power distribution factor, and optimizing the transmitted beam forming vector by using a dinkelbach method, an SCA (supervisory control and data acquisition) technology and an SDR (standard definition link) technology;
optimizing a reflection beam forming vector at the IRS by using a dinkelbach method, SDR and SCA technology;
optimizing a power distribution factor at a user by using a dinkelbach method;
and alternately optimizing until convergence.
2. The IRS-based aided MISO wireless energy-carrying communication system of claim 1 wherein the intelligent reflector-aided multi-user MISO wireless energy-carrying communication network comprises a base station with M antennas, an intelligent reflector-aided and K single-antenna users;
order to
Figure FDA0003681354080000011
An index representing a set of users is provided,
Figure FDA0003681354080000012
an index representing the set of IRS reflection units, and
Figure FDA0003681354080000013
representing the base station transmit beamforming vector, s k A signal representing a user k desire;
the channels from base station to user, base station to IRS and IRS to user are respectively represented as
Figure FDA0003681354080000014
Figure FDA0003681354080000015
And
Figure FDA0003681354080000016
simultaneously representing reflected beamforming vectors as
Figure FDA0003681354080000017
The transmission signal of the base station is represented as:
Figure FDA0003681354080000021
the combined channel from the base station to the user via the IRS is denoted as f k H ΘG=v H Φ k Wherein phi is k =diag(f k H ) G, the user uses a power allocation strategy to achieve the effect of receiving signals and energy simultaneously.
3. The method of claim 1, wherein the step of establishing a mathematical model based on maximization of system energy efficiency for the downlink channel model comprises:
at the user, using the power allocation strategy, the signal received at user k is represented as:
Figure FDA0003681354080000022
wherein
Figure FDA0003681354080000023
Representing white gaussian noise while treating the interference of other users as noise, the rate at user k is represented as:
Figure FDA0003681354080000024
the total system rate is expressed as:
Figure FDA0003681354080000025
the energy received by user k is expressed as:
Figure FDA0003681354080000026
where η represents the energy conversion efficiency, and the total received energy of the system is represented as:
Figure FDA0003681354080000027
the total power consumption of the system is therefore:
Figure FDA0003681354080000028
where ζ represents the reciprocal of the drain efficiency of the transmit power amplifier, P C Represents the system circuit loss, P T Representing the power consumption, P, of each transmit antenna n (b) Represents the power consumption of each IRS reflection unit;
the energy efficiency of the system is the ratio of the total transmission rate to the energy consumption, and is expressed by a mathematical model as:
Figure FDA0003681354080000031
the constraint conditions of the mathematical model based on the energy efficiency maximization of the system comprise:
user minimum rate:
Figure FDA0003681354080000032
R min is the minimum rate;
minimum received energy of user:
Figure FDA0003681354080000033
E min is the minimum received energy;
maximum transmission power of the base station:
Figure FDA0003681354080000034
P m is the base station maximum transmit power;
power allocation factor constraint:
Figure FDA0003681354080000035
and (3) intelligent reflecting surface constraint:
Figure FDA0003681354080000036
the mathematical model for maximizing the energy efficiency based on the system is as follows:
(P1)
Figure FDA0003681354080000037
Figure FDA0003681354080000038
Figure FDA0003681354080000039
Figure FDA00036813540800000310
Figure FDA0003681354080000041
4. the method of claim 1, wherein the reflected beamforming vector and the power allocation factor are fixed, and the optimization problem of the transmitted beamforming vector is expressed as:
the objective function is: (P2):
Figure FDA0003681354080000042
the constraint conditions are as follows:
Figure FDA0003681354080000043
Figure FDA0003681354080000044
Figure FDA0003681354080000045
Figure FDA0003681354080000046
the target function is converted into a subtractive equation by using a Dinkelbach method:
Figure FDA0003681354080000047
the subtraction is converted to the convex problem using the SCA method, introducing two variables:
Figure FDA0003681354080000048
Figure FDA0003681354080000049
thus is provided with
Figure FDA0003681354080000051
Problem P2 translates into:
(P2):
Figure FDA0003681354080000052
Figure FDA0003681354080000053
Figure FDA0003681354080000054
Figure FDA0003681354080000055
Figure FDA0003681354080000056
Figure FDA0003681354080000057
Figure FDA0003681354080000058
using the SCA method
Figure FDA0003681354080000059
The transformation is to a convex constraint,
Figure FDA00036813540800000510
in that
Figure FDA00036813540800000511
The taylor expansion of (a) is:
Figure FDA00036813540800000512
Figure FDA00036813540800000513
conversion to:
Figure FDA00036813540800000514
relaxing constraints using SDR techniques
Figure FDA00036813540800000515
The following problems are optimized:
(P2.2):
Figure FDA0003681354080000061
Figure FDA0003681354080000062
Figure FDA0003681354080000063
Figure FDA0003681354080000064
Figure FDA0003681354080000065
where K denotes the index of the set of users, N denotes the index of the set of IRS reflection units, w k Representing base station transmit beamforming vector, p k Represents the power division factor, s k Represents the signal desired by user k, G, h k And f k Denotes the base station to user, base station to IRS and IRS to user channels, respectively, v denotes the reflected beamforming vector, and ζ denotes the reciprocal of the transmit power amplifier drain efficiency.
5. The method of claim 1, wherein the dinkelbach method, the SDR, and the SCA techniques are used to optimize the beamforming vector reflected at the IRS, and the method comprises:
fixing the transmit beamforming vector and the power allocation factor, and expressing the original optimization as follows by using a Dinkelbach method:
(P3):
Figure FDA0003681354080000066
Figure FDA0003681354080000067
Figure FDA0003681354080000068
Figure FDA0003681354080000071
V N+1,N+1 =1,
Figure FDA0003681354080000072
rank(V)≤1.
wherein,
Figure FDA0003681354080000073
the original optimization problem is represented as follows by using a Dinkelbach method:
(P3):
Figure FDA0003681354080000074
Figure FDA0003681354080000075
Figure FDA0003681354080000076
Figure FDA0003681354080000077
V N+1,N+1 =1,
Figure FDA0003681354080000078
rank(V)≤1.
using the SCA and SDR methods, two variables were introduced:
Figure FDA0003681354080000079
Figure FDA00036813540800000710
Figure FDA00036813540800000711
in that
Figure FDA00036813540800000712
The first order Taylor expansion of (1) is:
Figure FDA00036813540800000713
using the SCA method and relaxing rank (V). Ltoreq.1, this non-convex constraint, problem P3 is described as:
(P3.1):
Figure FDA0003681354080000081
Figure FDA0003681354080000082
Figure FDA0003681354080000083
Figure FDA0003681354080000084
Figure FDA0003681354080000085
V N+1,N+1 =1
where K denotes the index of the set of users, N denotes the index of the set of IRS reflection units, w k Representing base station transmit beamforming vector, p k Represents the power division factor, s k Represents the signal desired by user k, G, h k And f k Denotes the base station to user, base station to IRS and IRS to user channels, respectively, v denotes the reflected beamforming vector, and ζ denotes the reciprocal of the transmit power amplifier drain efficiency.
6. The method of claim 1, wherein the dinkelbach method is used to optimize the power allocation factor at the user site, and the method comprises the following steps:
the transmit beamforming vector and the reflected beamforming vector are fixed, and the optimization problem about the power allocation factor is expressed as:
(P4):
Figure FDA0003681354080000086
Figure FDA0003681354080000087
Figure FDA0003681354080000088
Figure FDA0003681354080000089
where K denotes the index of the set of users, N denotes the index of the set of IRS reflection units, w k Representing base station transmit beamforming vector, p k Represents the power division factor, s k Represents the signal desired by user k, G, h k And f k Denotes the base station to user, base station to IRS and IRS to user channels, respectively, v denotes the reflected beamforming vector, and ζ denotes the reciprocal of the transmit power amplifier drain efficiency.
7. An energy efficiency maximization system for a MISO wireless energy-carrying communication system based on IRS assistance, comprising: the system comprises a channel model building module, an energy efficiency maximization model building module and an alternative optimization module;
the channel model building module is used for building a downlink channel model of the intelligent reflector assisted MISO wireless energy-carrying communication network, and combining a reflection path reflected by the intelligent reflector with a direct path to form a channel model between a base station and users, wherein each user uses a power distribution scheme to collect information and receive energy;
the energy efficiency maximization model building module is used for building a mathematical model based on system energy efficiency maximization aiming at a downlink channel model, and comprises the following mathematical expressions for determining optimization variables, an objective function and constraint conditions, wherein the optimization variables comprise: a base station transmits a beam forming vector, an intelligent reflecting surface reflection beam forming vector and a power distribution factor;
the alternate optimization module is used for constructing an alternate optimization algorithm for analyzing and jointly optimizing a base station transmitting beam forming vector, an intelligent reflecting surface reflecting beam forming vector and a power distribution factor to complete the maximization of the system energy efficiency;
the alternating optimization algorithm specifically comprises:
fixing a reflected beam forming vector and a power distribution factor, and optimizing the transmitted beam forming vector by using a dinkelbach method, an SCA (supervisory control and data acquisition) technology and an SDR (standard definition link) technology;
optimizing a reflection beam forming vector at the IRS by using a dinkelbach method, SDR and SCA technology;
optimizing power distribution factors at a user by using a dinkelbach method;
and alternately optimizing until convergence.
8. A computer-readable storage medium storing a program which when executed by a processor implements a method for maximizing energy efficiency of a MISO wireless energy-carrying communication system based on IRS assistance according to any one of claims 1 to 6.
9. A computing device comprising a processor and a memory for storing a program executable by the processor, wherein the processor, when executing the program stored in the memory, implements the energy efficiency maximization method for an IRS-based assisted MISO wireless energy-carrying communication system of any of claims 1-6.
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