CN110677839B - NOMA-based 5G mobile communication resource allocation method - Google Patents

NOMA-based 5G mobile communication resource allocation method Download PDF

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CN110677839B
CN110677839B CN201910959535.4A CN201910959535A CN110677839B CN 110677839 B CN110677839 B CN 110677839B CN 201910959535 A CN201910959535 A CN 201910959535A CN 110677839 B CN110677839 B CN 110677839B
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CN110677839A (en
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倪青
袁钦
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China Information Consulting and Designing Institute Co Ltd
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W4/00Services specially adapted for wireless communication networks; Facilities therefor
    • H04W4/70Services for machine-to-machine communication [M2M] or machine type communication [MTC]
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W24/00Supervisory, monitoring or testing arrangements
    • H04W24/08Testing, supervising or monitoring using real traffic
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W72/00Local resource management
    • H04W72/04Wireless resource allocation
    • H04W72/044Wireless resource allocation based on the type of the allocated resource
    • H04W72/0473Wireless resource allocation based on the type of the allocated resource the resource being transmission power
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W72/00Local resource management
    • H04W72/50Allocation or scheduling criteria for wireless resources
    • H04W72/54Allocation or scheduling criteria for wireless resources based on quality criteria
    • H04W72/542Allocation or scheduling criteria for wireless resources based on quality criteria using measured or perceived quality
    • 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 provides a 5G mobile communication resource allocation method based on NOMA, which comprises the following steps: step 1, setting a 5G mobile communication scene, and acquiring channel state information; step 2, comparing the channel power gain, determining a strong user and a weak user, and calculating to obtain the optimal transmitting power of the strong user and the optimal transmitting power of the weak user; step 3, comparing the transmission power with the limit of the effective interference power, and determining the size relation; step 4, based on the comparison results of the step 2 and the step 3, carrying out scene classification; step 5, based on the result of scene classification, performing power distribution; and 6, outputting the transmission power.

Description

NOMA-based 5G mobile communication resource allocation method
Technical Field
The invention belongs to the technical field of mobile communication, and particularly relates to a 5G mobile communication resource allocation method based on NOMA.
Background
D2D (Device-to-Device) communication enables nearby communication devices to communicate directly without infrastructure support, thereby enabling a reduction in the load of base stations and core networks. The NOMA (Non-Orthogonal Multiple Access) technology allows Multiple users to share the same time-frequency communication resource through multiplexing of a power domain and SIC (Successive Interference Cancellation), thereby improving the system throughput and energy efficiency.
Combining D2D communication with NOMA can greatly improve the quality of service of future wireless communication systems. However, D2D communication introduces additional interference to the conventional cellular wireless communication system, and the same D2D communication itself may face interference from the conventional cellular wireless communication system. Therefore, a key issue to be solved is how to allocate transmit power to coordinate interference between the D2D system and the legacy cellular wireless communication system, while maximizing the information rate of the D2D group under the condition of guaranteeing different QoS requirements of the D2D users.
Disclosure of Invention
The purpose of the invention is as follows: in order to solve the technical problems in the background art, the invention provides a 5G (5 th generation) mobile communication resource allocation method based on NOMA (non-orthogonal multiple access), comprising the following steps:
step 1, setting a 5G mobile communication scene, and acquiring channel state information;
step 2, comparing the channel power gain, determining a strong user and a weak user, and calculating to obtain the optimal transmitting power of the strong user and the optimal transmitting power of the weak user;
step 3, comparing the transmission power with the limit of the effective interference power, and determining the size relation;
step 4, based on the comparison results of the step 2 and the step 3, carrying out scene classification;
step 5, based on the result of scene classification, performing power distribution;
and step 6, outputting the transmission power.
The step 1 comprises the following steps:
step 1-1, setting the following 5G mobile communication scene: the method comprises the steps that a base station BS and more than three user terminals UT are included, wherein the three user terminals are respectively marked as Tx, rx1 and Rx2, tx, rx1 and Rx2 form a device-to-device D2D communication group, tx in the D2D communication group is a sending end, and signals are transmitted to two receiving ends Rx1 and Rx2 in an NOMA mode;
step 1-2, collecting channel state information: the transmitting end Tx in the D2D communication group collects the channel state information h between the transmitting end Tx and the receiving ends Rx1 and Rx2 i I =1,2, and channel state information g with the base station BS, the channel state information of the transmitting end Tx and the receiving ends Rx1 and Rx2 being h, respectively 1 And h 2
The step 2 comprises the following steps:
step 2-1, the channel power gain between Tx and Rx1 is | h 1 | 2 The channel power gain between Tx and Rx2 is | h 2 | 2 If the channel power gain | h 1 | 2 >|h 2 | 2 Rx1 is a strong user, rx2 is a weak user, | represents a modular operation; if | h 12 <|h 22 Rx2 is a strong user, rx1 is a weak user;
and 2-2, setting Rx1 as a strong user and Rx2 as a weak user, and calculating to obtain the optimal transmitting power of the strong user and the optimal transmitting power of the weak user.
Step 2-2 comprises:
step 2-2-1, information rate R obtained by strong user 1 Expressed as:
Figure BDA0002228460900000021
information rate R obtained by weak users 2 Expressed as:
Figure BDA0002228460900000022
wherein N is 0 Power of additive white gaussian noise; p 1 For the signal power, P, sent by the sender to the strong user 2 Sending the signal power to the weak user Rx2 for the sending end;
2-2, rx1 and Rx2 need to control the interference caused to the base station BS not to exceed a given interference threshold value P when in communication th Namely, it is required to satisfy:
(P 1 +P 2 )|g| 2 ≤P th (3)
wherein, g is channel state information between a transmitting end Tx and a base station BS;
step 2-2-3, use
Figure BDA0002228460900000031
And/or>
Figure BDA0002228460900000032
The minimum information rate required to be achieved by the strong user and the minimum information rate required to be achieved by the weak user are respectively represented, and the problem of how to distribute the power of the strong user and the power of the weak user to maximize the sum of the information rates of the D2D communication group is solved under the condition that the minimum information rate limit and the interference threshold constraint are met.
In step 2-2-3, the problem of how to allocate the power of the strong users and the weak users to maximize the sum of the information rates of the D2D communication groups is represented as the following optimization problem:
Figure BDA0002228460900000033
wherein P is T Indicates the maximum transmit power that can be used by the transmitting end Tx.
In step 2-2-3, condition 3 in the optimization problem: p is 1 +P 2 ≤P T And condition 5: (P) 1 +P 2 )|g| 2 ≤P th Only one will be true since R 2 Is about P 2 So that the constraints of the conditions 3 and 5 must be equal signs, define parametersP=min(P T ,P th /|g| 2 ) Then the optimization problem can be simplified as:
Figure BDA0002228460900000034
expanding the objective function R 1 +R 2 Obtaining:
Figure BDA0002228460900000035
using a constraint P 1 +P 2PThus, the objective function is simplified as:
Figure BDA0002228460900000041
for the optimization problem in equation (5), let the objective function
Figure BDA0002228460900000042
And the constraint condition in the formula (3) is further simplified to only the parameter P 1 The optimization problem of (2):
Figure BDA0002228460900000043
optimizing the objectives in the problem (8)Scalar function f (P) 1 ) The derivative of (c) is:
Figure BDA0002228460900000044
due to | h 1 | 2 >|h 2 | 2 Thus d (f (P) 1 ))/dP 1 Is always greater than 0, so f (P) 1 ) To relate to a variable P 1 So that the optimal solution of the optimization problem, equation (8), should satisfy the following equation:
Figure BDA0002228460900000045
thereby obtaining the optimal transmission power P of the strong user 1 * Comprises the following steps:
Figure BDA0002228460900000046
finally, the relationship P is utilized 1 +P 2PTo obtain the optimal transmission power of the weak user
Figure BDA0002228460900000047
Comprises the following steps:
Figure BDA0002228460900000048
the step 3 comprises the following steps: comparison P T And P th /|g| 2 Of (2), wherein P T Maximum transmit power limit for the transmitting end Tx, P th /|g| 2 For effective interference power limitation, P th The maximum interference power value that the base station BS can accept.
Step 4 comprises the following steps: based on the comparison results of steps 2 and 3, the scenes are classified into the following 4 categories.
Class 1: rx1 is a strong user, and Rx2 is a weak user; the maximum transmit power limit of the transmitting end Tx is greater than the effective interference power limit;
class 2: rx1 is a strong user, and Rx2 is a weak user; the maximum transmit power limit of the transmitting end Tx is less than the effective interference power limit;
class 3: rx1 is a weak user, and Rx2 is a strong user; the maximum transmit power limit of the transmitting end Tx is greater than the effective interference power limit;
class 4: rx1 is a weak user, rx2 is a strong user; the maximum transmit power limit of the transmitting end Tx is smaller than the effective interference power limit.
The step 5 comprises the following steps:
for class 1, power allocation scheme 1 is performed: the transmitting end Tx allocates the signal power value P transmitted to Rx1 and Rx2 in the following way 1 *、
Figure BDA0002228460900000051
Figure BDA0002228460900000052
Figure BDA0002228460900000053
Wherein N is 0 Is the power of additive white gaussian noise,
Figure BDA0002228460900000054
represents the minimum information rate that needs to be achieved to guarantee the QoS of the weak user Rx2;
for class 2, power allocation scheme 2 is performed: the transmitting end Tx allocates the signal power value P transmitted to Rx1 and Rx2 in the following way 1 *、
Figure BDA0002228460900000055
Figure BDA0002228460900000056
Figure BDA0002228460900000057
For class 3, power allocation scheme 3 is performed: the transmitting end Tx allocates the signal power value P transmitted to Rx1 and Rx2 in the following way 1 *
Figure BDA0002228460900000058
Figure BDA0002228460900000061
Figure BDA0002228460900000062
Wherein
Figure BDA0002228460900000063
Represents the minimum information rate that the QoS of strong user Rx1 needs to be guaranteed to achieve;
for class 4, power allocation mode 4 is performed: the transmitting end Tx allocates the signal power value P transmitted to Rx1 and Rx2 in the following way 1 *
Figure BDA0002228460900000064
Figure BDA0002228460900000065
Figure BDA0002228460900000066
Has the advantages that: the invention provides a downlink NOMA power distribution method of a D2D user group based on strong and weak user classification and relation classification of transmission power and interference power. The invention can meet the minimum information rate limit of the D2D user, maximize the information rate of the D2D user group and effectively control the generated external interference. The transmission power allocated using the method of the invention is theoretically always optimal and requires only a small amount of computation. Finally, experiments show that the method provided by the invention can obtain excellent performance.
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The foregoing and/or other advantages of the invention will become more apparent from the following detailed description of the invention when taken in conjunction with the accompanying drawings.
Fig. 1 is a NOMA-based 5G mobile communication scenario contemplated by the present invention.
Fig. 2 is a record of the information rate obtained by the method of the present invention under the implementation of 100 channels randomly generated.
Fig. 3 is a record of the use of transmit power obtained by the method of the present invention for 100 randomly generated channel realizations.
Fig. 4 is a record of interference power generated by the BS obtained by the method of the present invention under randomly generated 100 channel realizations.
Detailed Description
The NOMA-based 5G mobile communication scenario considered in the present invention is shown in fig. 1, and includes a Base Station (BS) and a plurality of User Terminals (UT), wherein three UTs (Tx, rx1 and Rx2 in the figure) form a D2D communication group for direct communication to reduce the load on the BS and the core network. Tx in the D2D communication group is a transmitting end, and transmits a signal to two receiving ends Rx1 and Rx2 in a NOMA mode. The other UTs still transmit signals normally to the BS over the uplink.
In the figure, the channel state information of the transmitting end Tx and the receiving ends Rx1 and Rx2 are h respectively 1 And h 2 . Among the two receivers, the receiver with a large channel power gain with the transmitter is called a strong user, whereas the receiver with a small channel power gain with the transmitter is called a weak user. The channel power gain between Tx and Rx1 is shown to be greater than the channel power gain between Tx and Rx2, i.e. | h 1 | 2 >|h 22 Therefore Rx1 is called a strong user and Rx2 is called a weak user.
Signal power P transmitted to weak user Rx2 according to NOMA technical criteria 2 Should be greater than sent to strongSignal power P of the user 1 . The signal sent to the strong user interferes very little with the weak user and can be seen as noise so that the weak user can decode the received information symbols directly. On the other hand, the strong user can decode its own information symbol after removing the decoded weak user signal by SIC (Successive Interference Cancellation) technology. Information rate R obtained by strong users 1 Expressed as:
Figure BDA0002228460900000071
wherein N is 0 Is the power of additive white gaussian noise. Information rate R obtained by weak users 2 Expressed as:
Figure BDA0002228460900000072
on the other hand, when the D2D device communicates, it needs to control the interference caused to the base station BS not to exceed a given threshold, and needs to satisfy:
(P 1 +P 2 )|g| 2 ≤P th (3)
where g is the channel state information between the transmitting end Tx to the base station BS, P th The interference threshold represents the maximum external interference power value that the base station BS can receive during normal communication.
In order to guarantee the Quality of service (QoS) of D2D group communication, the information rates of strong and weak users need to meet the minimum rate requirement, and the method is used
Figure BDA0002228460900000073
And/or>
Figure BDA0002228460900000074
Respectively representing the lowest information rate which needs to be achieved by the strong user and the lowest information rate which needs to be achieved by the weak user. How to allocate power of strong and weak users under the condition of satisfying minimum information rate limit and interference threshold constraintThe problem of the rate to maximize the sum of the information rates of the D2D group is represented as the following optimization problem:
Figure BDA0002228460900000081
wherein P is T Indicates the maximum transmission power that can be used by the transmitting end Tx.
Note that only one of condition 3 and condition 5 in the optimization problem will hold, since R is 2 Is about P 2 The constraint conditions of condition 3 and condition 5 must be equal sign. Definition ofP=min(P T ,P th /|g| 2 ) Then, the above optimization problem can be simplified as:
Figure BDA0002228460900000082
expanding the objective function R 1 +R 2 Obtaining:
Figure BDA0002228460900000083
using a constraint P 1 +P 2PThus, the objective function is simplified as:
Figure BDA0002228460900000084
for the optimization problem in equation (5), let
Figure BDA0002228460900000085
And the constraint condition in the formula (3) is further simplified to only the parameter P 1 The optimization problem of (2):
Figure BDA0002228460900000091
in the optimization problem (8)Is the objective function f (P) 1 ) The derivative of (c) is:
Figure BDA0002228460900000092
due to | h 1 | 2 >|h 2 | 2 Thus d (f (P) 1 ))/dP 1 Is always greater than 0, so f (P) 1 ) To relate to a variable P 1 A single increment function of (a). The optimal solution to the optimization problem (8) should therefore satisfy the following equation:
Figure BDA0002228460900000093
thereby obtaining the optimal transmission power P of the strong user 1 * Comprises the following steps:
Figure BDA0002228460900000094
finally, the relation P is utilized 1 +P 2PTo obtain the optimal transmission power of the weak user
Figure BDA0002228460900000095
Comprises the following steps:
Figure BDA0002228460900000096
the above provides the transmission power allocation method when Rx1 is the strong user and Rx2 is the weak user, the power allocation method when the strong and weak users interchange can be obtained by a similar method, the transmission power obtained by the above method is theoretically optimal, and only a small amount of calculation is required.
Examples
As shown in fig. 4, the present invention discloses the following steps:
step 1, channel state information acquisition. The transmitting end Tx in the D2D group collects the channel state information h between the transmitting end Tx and the receiving ends Rx1 and Rx2 i I =1,2, and channel state information g with the base station BS.
And 2, comparing the channel power gain to determine the strong and weak users. If the channel power gain | h 1 | 2 >|h 2 | 2 (|, represents modulo operation), rx1 is a strong user, rx2 is a weak user; if | h 1 | 2 <|h 2 | 2 Rx2 is a strong user and Rx1 is a weak user.
And 3, comparing the transmission power with the limit of the effective interference power, and determining the size relation. Comparison P T And P th /|g| 2 Of size (c), wherein P T Maximum transmit power limit for the transmitting end Tx, P th /|g| 2 For effective interference power limitation, P th The maximum interference power value that the base station BS can accept.
And 4, classifying scenes. Based on the comparison results of steps 2 and 3, the following 4 categories were classified.
Class 1: rx1 is a strong user, and Rx2 is a weak user; the transmit power is greater than the effective interference power.
Class 2: rx1 is a strong user, and Rx2 is a weak user; the transmit power is less than the effective interference power.
Class 3: rx1 is a weak user, and Rx2 is a strong user; the transmit power is greater than the effective interference power.
Class 4: rx1 is a weak user, and Rx2 is a strong user; the transmit power is less than the effective interference power.
And step 5, power distribution. For class 1, power allocation scheme 1 is performed. The transmitting end Tx allocates the signal power value P transmitted to Rx1 and Rx2 in the following way 1 *、
Figure BDA0002228460900000101
Figure BDA0002228460900000102
Figure BDA0002228460900000103
Wherein N is 0 Is the power of additive white gaussian noise,
Figure BDA0002228460900000104
indicating the minimum information rate that needs to be achieved to guarantee QoS for Rx2.
For class 2, power allocation scheme 2 is performed. The transmitting end Tx allocates the signal power value P transmitted to Rx1 and Rx2 in the following way 1 *、
Figure BDA0002228460900000105
/>
Figure BDA0002228460900000106
Figure BDA0002228460900000107
For class 3, power allocation scheme 3 is performed. The transmitting end Tx allocates the signal power value P transmitted to Rx1 and Rx2 in the following way 1 *
Figure BDA0002228460900000111
Figure BDA0002228460900000112
Figure BDA0002228460900000113
Wherein
Figure BDA0002228460900000114
Indicating the minimum information rate that needs to be achieved to guarantee QoS for Rx 1.
For class 4, power allocation scheme 4 is performed. The transmitting end Tx allocates the signal power value P transmitted to Rx1 and Rx2 in the following way 1 *
Figure BDA0002228460900000115
Figure BDA0002228460900000116
Figure BDA0002228460900000117
And 6, outputting the transmission power.
To verify the performance of the pilot allocation method proposed in the present invention, the following simulation was used. The simulation used a path loss model common to fading channels. The path loss coefficient v =3 is set, and the variance of the channel fading coefficient per unit distance is 1, that is, the variance is set
Figure BDA0002228460900000118
Wherein d is 0 Distance between Tx and base station BS, d n N is equal to {1,2} n is 1, d n Represents the distance from Tx to Rx1, and d is 2 n Represents the distance from Tx to Rx2. For comparison, simulation with Tx to Rx1 less than Tx to Rx2 uses +>
Figure BDA0002228460900000119
And/or>
Figure BDA00022284609000001110
Figure BDA00022284609000001111
In addition, the distance between the D2D user and the BS is further relative to the distance between the users in the D2D group, so that the ^ setting ^ is greater>
Figure BDA00022284609000001112
For convenience of representation, the power of the additive white gaussian noise of the normalized receiving ends Rx1 and Rx2 is 1, i.e. N 0 =1, total power at transmitting end is defined as P T /N 0 The interference power limit is defined as P th /N 0 Set to P in simulation T /N 0 =20,P th /N 0 =50. The minimum information rate requirement of Rx1 and Rx2 is set to 2 bits/s.
Fig. 2, 3 and 4 show the information rate, the use of transmission power and the recording of the interference power generated by the BS, obtained by the method of the present invention under the randomly generated 100 channel realizations. It can be seen from fig. 2 that the information rate requirement of Rx1 and Rx2 of the lowest 2bit/s can be met at any one channel realization, while the maximum total information rate is achieved. Fig. 3 shows the use of the transmit power of Rx1 and Rx2, respectively, and the total transmit power, and it can be seen that the total transmit power for any channel realization does not exceed the maximum 20 transmit power limit for Tx. The interference power generated by the Tx to the BS is shown in fig. 4, from which it can be seen that the total transmit power at any one channel realization does not exceed the maximum 50 interference power limit of the BS. The above simulation results fully illustrate the effectiveness of the power allocation method proposed in this patent, and can ensure that the minimum information rate of users in the D2D group requires to obtain the maximum information rate sum of the downlink of the D2D group under the condition of satisfying the total transmit power constraint and the interference power limit.
The present invention provides a method for allocating 5G mobile communication resources based on NOMA, and a plurality of methods and approaches for implementing the technical scheme, wherein the above description is only a preferred embodiment of the present invention, it should be noted that, for those skilled in the art, a plurality of modifications and embellishments can be made without departing from the principle of the present invention, and these modifications and embellishments should also be regarded as the protection scope of the present invention. All the components not specified in this embodiment can be implemented by the prior art.

Claims (1)

1. A NOMA-based 5G mobile communication resource allocation method is characterized by comprising the following steps:
step 1, setting a 5G mobile communication scene, and acquiring channel state information;
step 2, comparing the channel power gain, determining a strong user and a weak user, and calculating to obtain the optimal transmitting power of the strong user and the optimal transmitting power of the weak user;
step 3, comparing the transmission power with the limit of the effective interference power, and determining the size relation;
step 4, based on the comparison results of the step 2 and the step 3, carrying out scene classification;
step 5, based on the result of scene classification, performing power distribution;
step 6, outputting the transmission power;
the step 1 comprises the following steps:
step 1-1, setting the following 5G mobile communication scene: the method comprises the steps that a base station BS and more than three user terminals UT are included, wherein the three user terminals are respectively marked as Tx, rx1 and Rx2, tx, rx1 and Rx2 form a device-to-device D2D communication group, tx in the D2D communication group is a sending end, and signals are transmitted to two receiving ends Rx1 and Rx2 in an NOMA mode;
step 1-2, collecting channel state information: a transmitting end Tx in a D2D communication group collects channel state information between the transmitting end Tx and receiving ends Rx1 and Rx2 and channel state information g between the transmitting end Tx and a base station BS, and the channel state information of the transmitting end Tx and the receiving ends Rx1 and Rx2 are h respectively 1 And h 2
The step 2 comprises the following steps:
step 2-1, the channel power gain between Tx and Rx1 is | h 1 | 2 The channel power gain between Tx and Rx2 is | h 2 | 2 If the channel power gain | h 1 | 2 >|h 2 | 2 Rx1 is a strong user, rx2 is a weak user, |, represents modulo arithmetic; if | h 1 | 2 <|h 2 | 2 Rx2 is a strong user, rx1 is a weak user;
step 2-2, setting Rx1 as a strong user and Rx2 as a weak user, and calculating to obtain the optimal transmitting power of the strong user and the optimal transmitting power of the weak user;
step 2-2 comprises:
step 2-2-1, information rate R obtained by strong user 1 Expressed as:
Figure QLYQS_1
information rate R obtained by weak users 2 Expressed as:
Figure QLYQS_2
wherein N is 0 Power of additive white gaussian noise; p is 1 For the signal power, P, sent by the sender to the strong user 2 Sending the signal power to the weak user Rx2 for the sending end;
step 2-2, rx1 and Rx2 need to control the interference caused to the base station BS not to exceed a given interference threshold value P during communication th Namely, the following needs are satisfied:
(P 1 +P 2 )|g| 2 ≤P th (3)
wherein, g is channel state information between a transmitting end Tx and a base station BS;
step 2-2-3, using
Figure QLYQS_3
And/or>
Figure QLYQS_4
Respectively representing the minimum information rate required to be achieved by a strong user and the minimum information rate required to be achieved by a weak user, and solving the problem of how to distribute the power of the strong user and the weak user to maximize the sum of the information rates of the D2D communication group under the condition of meeting the minimum information rate limit and the interference threshold constraint; />
In step 2-2-3, the problem of how to allocate power of strong users and weak users to maximize the sum of information rates of D2D communication groups is represented as the following optimization problem:
Figure QLYQS_5
whereinP T Represents the maximum transmit power that the transmitting end Tx can use;
in step 2-2-3, condition 3 in the optimization problem: p 1 +P 2 ≤P T And condition 5: (P) 1 +P 2 )|g| 2 ≤P th Only one will be true since R 2 Is about P 2 So that the constraints of the conditions 3 and 5 must be equal sign, defining parametersP=min(P T ,P th /|g| 2 ) Then the optimization problem can be simplified as:
Figure QLYQS_6
expanding the objective function R 1 +R 2 Obtaining:
Figure QLYQS_7
using a constraint P 1 +P 2PThus, the objective function is simplified as:
Figure QLYQS_8
for the optimization problem in equation (5), let the objective function
Figure QLYQS_9
And the constraint condition in the formula (3) is further simplified to only the parameter P 1 The optimization problem of (2): />
Figure QLYQS_10
Optimizing an objective function f (P) in a problem (8) 1 ) The derivative of (c) is:
Figure QLYQS_11
due to | h 1 | 2 >|h 2 | 2 Thus d (f (P) 1 ))/dP 1 Is always greater than 0, so f (P) 1 ) To relate to a variable P 1 So the optimal solution of the optimization problem, equation (8), should satisfy the following equation:
Figure QLYQS_12
thereby obtaining the optimal transmission power P of the strong user 1 * Comprises the following steps:
Figure QLYQS_13
finally, the relationship P is utilized 1 +P 2PTo obtain the optimal transmission power of the weak user
Figure QLYQS_14
Comprises the following steps:
Figure QLYQS_15
the step 3 comprises the following steps: comparison P T And P th /|g| 2 Of (2), wherein P T Maximum transmit power limit for the transmitting end Tx, P th /|g| 2 For effective interference power limitation, P th The maximum interference power value which can be accepted by the base station BS is obtained;
the step 4 comprises the following steps: based on the comparison results of steps 2 and 3, the scenes are classified into the following 4 categories:
class 1: rx1 is a strong user, and Rx2 is a weak user; the maximum transmit power limit of the transmitting end Tx is greater than the effective interference power limit;
class 2: rx1 is a strong user, and Rx2 is a weak user; the maximum transmit power limit of the transmit end Tx is less than the effective interference power limit;
class 3: rx1 is a weak user, rx2 is a strong user; the maximum transmit power limit of the transmit end Tx is greater than the effective interference power limit;
class 4: rx1 is a weak user, rx2 is a strong user; the maximum transmit power limit of the transmitting end Tx is less than the effective interference power limit;
the step 5 comprises the following steps:
for class 1, power allocation scheme 1 is performed: the transmitting end Tx allocates the signal power value P transmitted to Rx1 and Rx2 in the following way 1 *
Figure QLYQS_16
/>
Figure QLYQS_17
Figure QLYQS_18
Wherein N is 0 Power of additive white gaussian noise;
for class 2, power allocation scheme 2 is performed: the transmitting end Tx allocates the signal power value P transmitted to Rx1 and Rx2 in the following way 1 *
Figure QLYQS_19
Figure QLYQS_20
Figure QLYQS_21
For class 3, power allocation scheme 3 is performed: the transmitting end Tx allocates the signal power value P transmitted to Rx1 and Rx2 in the following way 1 *
Figure QLYQS_22
Figure QLYQS_23
Figure QLYQS_24
For class 4, power allocation mode 4 is performed: the transmitting end Tx allocates the signal power value P transmitted to Rx1 and Rx2 in the following way 1 *
Figure QLYQS_25
Figure QLYQS_26
Figure QLYQS_27
/>
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