CN114339977A - Power distribution method based on full-duplex cooperative NOMA system - Google Patents
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Abstract
The invention relates to a power distribution method based on a full-duplex cooperative NOMA system, belonging to the field of wireless communication, and the method comprises the following steps: the base station sends the superposed signals to the relay user and the remote user; the relay user receives the signal and decodes by SIC, and the far-end user directly decodes the signal of the far-end user; the base station sends new superposed signals to the relay user and the remote user, and the relay user forwards the signal of the remote user in the last time slot and is influenced by self-interference brought by a full-duplex mode; the remote user receives signals from the relay user and the base station, MRC combination is carried out on the received signals, and SIC is carried out on the relay user under the condition of self-interference; and solving the rates of the relay user and the remote user, and performing power distribution by maximizing the minimum rate of the user. Because the allocation method improves the system and the speed, the system under the scheme can show better performance than fixed power allocation and random power allocation.
Description
Technical Field
The invention belongs to the field of wireless communication, and relates to a power distribution method based on a full-duplex cooperative NOMA system.
Background
To meet the increasing demand for spectral efficiency, NOMA has received great attention in recent years as a new method of multiple access. The NOMA technique allows multiple users to be served simultaneously with different powers in the same resource block (time/frequency/code). The difference from OMA is that NOMA uses power multiplexing and superposition coding technology at the transmitting end to allocate different powers for different users, so that the receiving end can distinguish users according to different powers, and therefore the receiving end can extract transmission information by using SIC, which makes it have better spectral efficiency than OMA. Therefore, reasonable power distribution can effectively improve the performance of the system and expand the performance advantages brought by using the NOMA technology.
In summary, the problems of the prior art are as follows: reasonable power allocation may improve system performance, but there has been little research on power allocation for cooperative NOMA systems.
The difficulty of solving the above problems is: the user fairness is guaranteed, and meanwhile the speed of the user is improved overall.
The significance of solving the problems is as follows: in a relay cooperative communication system based on NOMA, reasonable power resource allocation can be realized by solving a closed type solution of the problem of optimizing the minimum rate, and the system performance is improved.
Disclosure of Invention
Aiming at the problems in the prior art, the invention provides a power allocation algorithm based on a cooperative NOMA communication system, which is used for improving the system speed and further improving the system performance.
In a first aspect, the present application provides a power allocation method based on a full-duplex cooperative NOMA system, where the method includes: the base station sends the superposed signals to the relay user and the remote user; the relay user receives the signal and adopts SIC to decode; the base station sends new superposed signals to the relay user and the remote user, and the relay user forwards the signal of the remote user in the last time slot and is influenced by self-interference brought by a full-duplex mode; the remote user receives signals from the relay user and the base station, MRC combination is carried out on the received signals, and SIC is carried out on the relay user under the condition of self-interference; and solving the rates of the relay user and the remote user, and performing power distribution by maximizing the minimum rate of the user.
Further, the method further comprises: when the relay user receives the signal and decodes with SIC, non-ideal SIC is considered.
Further, the method further comprises: the base station sends new superposed signals to the relay user and the remote user, and the relay user forwards the signal of the remote user in the last time slot and is influenced by self-interference brought by a full-duplex mode; when the near-end user acts as a relay, it is assumed that the transmission power of the relay user is constant, while the noise at the user is all white gaussian noise with zero mean unit variance.
Further, the method further comprises: the said far-end user receives the signal from relay user and base station, and carry on MRC to merge to the signal received, the relay user carries on SIC under the situation of receiving the self-interference, including: the remote user decodes the signals from the base station and the relay user respectively to obtain SINR when decoding; MRC combination is carried out on the remote user to obtain the SINR after MRC combination; and the relay user considers the self-interference condition, considers non-ideal SIC according to the SIC criterion, sequentially decodes the signals of the remote user and the relay user and obtains the SINR during decoding.
Further, the method further comprises: obtaining the rates of the relay user and the remote user, and performing power distribution by maximizing the minimum rate of the user, wherein the power distribution method comprises the following steps: sequentially obtaining the achievable rates of the relay user and the remote user according to a Shannon formula; according to the idea of maximizing the minimum rate of the system, the maximum transmission power of the base station is taken as a constraint, an optimization problem is listed, and the optimization problem is solved.
Further, the method further comprises: according to the idea of maximizing the minimum rate of the system, taking the maximum transmission power of the base station as a constraint, listing an optimization problem, and solving the optimization problem, wherein the optimization problem comprises the following steps: the optimization problem is a pseudo-concave problem, so that the optimization problem can be converted into a series of convex feasibility problems, and further a Lagrangian function for changing the optimization problem is obtained; and solving the KKT condition of the optimization problem on the basis of obtaining the Lagrangian function, wherein the number of unknown coefficients in the KKT condition is equal to the number of equations, so that the KKT condition can be directly solved, and further a specific power distribution mode can be obtained, so that the optimal solution of the optimization problem can be obtained.
To sum up, the optimization problem of the maximized minimum rate is solved, and the effect of improving the user rate and further improving the system performance is achieved.
Drawings
For the purpose of making the objects, aspects and advantages of the present invention more apparent, there is described in detail preferred embodiments of the present invention with reference to the accompanying drawings, wherein:
fig. 1 is a schematic view of a full-duplex cooperative NOMA system provided in an embodiment of the present application;
fig. 2 is a flowchart of a power allocation method based on a full-duplex cooperative NOMA system according to an embodiment of the present application.
Detailed Description
The embodiments of the present invention are described below with reference to specific embodiments, and other advantages and effects of the present invention will be easily understood by those skilled in the art from the disclosure of the present specification. The invention is capable of other and different embodiments and of being practiced or of being carried out in various ways, and its several details are capable of modification in various respects, all without departing from the spirit and scope of the present invention. It should be noted that the drawings provided in the following embodiments are only for illustrating the basic idea of the present invention in a schematic way, and the features in the following embodiments and examples may be combined with each other without conflict.
Wherein the showings are for the purpose of illustrating the invention only and not for the purpose of limiting the same, and in which there is shown by way of illustration only and not in the drawings in which there is no intention to limit the invention thereto; it will be understood by those skilled in the art that certain well-known structures in the drawings and descriptions thereof may be omitted.
The following detailed description of the principles of the invention is provided in connection with the accompanying drawings.
The power allocation method based on the full-duplex cooperative NOMA system is realized under the scene of fig. 1. Wherein BS denotes a base station, UE1Indicating relay user, UE2Representing a remote user; x (t) represents the signal transmitted by the base station in the first stage, and x (t + d) represents the signal transmitted by the base station in the second stage; h isrRepresenting relay user self-dryingInterference channel parameter, hiRepresenting the channel parameter, h, between the base station and user i12Representing a UE1And UE2The channel parameters in between.
Fig. 2 is a flowchart of a power allocation method based on a full-duplex cooperative NOAM system according to an embodiment of the present disclosure, as shown in fig. 2, the method includes:
s201: the base station transmits the superimposed signal to the relay user and the remote user.
It should be further noted that, in the first transmission phase, the superposition coded signal sent by the base station is:
wherein P is1And P2Respectively to the UE1And UE2Power of x1(t) and x2(t) respectively indicate the first-stage base station to transmit to the UE1And UE2Of the signal of (1).
S202, the relay user receives the signal and adopts SIC to decode.
It should be noted that the relay user receives the signal from the base station, and specifically, the signal received by the user can be represented as yi1＝hixs1+ni1. Where ni represents the noise at user i; then the relay user decodes the received signal according to SIC, the relay user firstly decodes the signal of the remote user and then decodes the signal of the relay user, wherein the SINR of the relay user for decoding the signal of the remote user and the relay user is as follows:
s203, the base station sends new superposed signals to the relay user and the remote user, and the relay user forwards the signal of the remote user in the last time slot and is influenced by self-interference brought by a full-duplex mode;
it should be further noted that the new superposition coded signal transmitted by the base station can be represented as:
wherein x1(t + d) and x2(t + d) denotes UEs, respectively1And UE2The signal of (a); at the same time, the relay user forwards the signal x of the remote user in the last time slot2(t), then for the far-end user, the received signal can be expressed as:
wherein n is2Representing a UE2Of (d) noise of (P)rRepresents the transmit power at the relay user; for the near-end user, the received signals are:
it is worth mentioning that when the near-end user acts as a relay, it is assumed that the transmission power of the relay user is constant, and the noise at the user is white gaussian noise with zero mean unit variance.
And S204, the remote user receives signals from the relay user and the base station, MRC combination is carried out on the received signals, and SIC is carried out on the relay user under the self-interference condition.
It should be further noted that, as shown in fig. 1, the specific decoding process is as follows:
s301, the remote user decodes the signals from the base station and the relay user respectively to obtain the SINR obtained during decoding.
It should be noted that, the SINR when the remote user decodes the signal from the base station and the relay user may be specifically expressed as:
and S302, MRC combination is carried out on the remote user to obtain the SINR after MRC combination.
It should be noted that the combining mode adopted at the far-end user is MRC, that is, maximum ratio combining, and then the SINR after MRC adopted at the far-end user is:
and S303, the relay user considers the self-interference condition, and according to the SIC criterion, the non-ideal SIC is considered, the signals of the remote user and the relay user are decoded in sequence, and the SINR during decoding is obtained.
It should be noted that, the relay user decodes the signal of the remote user first, and when decoding the signal of the relay user, the SINR of the decoded signal of the remote user and the SINR of the decoded signal of the relay user are respectively:
s205, the rates of the relay user and the remote user are obtained, and power distribution is carried out by maximizing the minimum rate of the user.
It should be further noted that, the obtaining the rates of the relay user and the remote user, and performing power allocation by maximizing the minimum rate of the user includes:
and S304, sequentially obtaining the achievable rates of the relay user and the remote user according to the Shannon formula. The achievable rates of the relay user and the remote user are respectively as follows:
and S305, listing an optimization problem by taking the maximum transmission power of the base station as a constraint according to the concept of maximizing the minimum rate of the system, and solving the optimization problem.
The optimization problem that can be obtained according to the maximized minimum rate is:
wherein
Representing a transmission power allocation factor vector, the constraint condition C0 represents that the sum of the power of the users is equal to or less than the maximum power that the base station can transmit, and C1 represents that the power of the users should be equal to or greater than 0. Due to the problem P1Is a pseudo-concave problem, so it can be converted into a series of feasibility problems, ξ*Is an optimization problem P1For a given optimum solution of
Have the following feasibility problems
Is feasible, then
Otherwise, if the problem is not feasible, then there is
In addition, feasibility problem P can be solved2Equivalent to the convex optimization problem as follows.
Then check for P'2Whether the power allocation solution of (2) satisfies the constraint C0. Due to P'2Is a convex problem, so P 'can be written'2Has a Lagrangian function of
Wherein
ωn、λ1、λ2Lagrangian factors for constraints C1, C2, C3, respectively. Due to P'2Is a convex problem, so its KKT condition is a sufficient prerequisite to obtain an optimal solution. For ease of calculation, KKT is divided into two cases, which can be expressed as
ωnαn＝0；n＝1；2 (20)
λn≥0；n＝1；2 (21)
ωn≥0；n＝1；2 (22)
p≥0 (23)
Wherein
Therefore, the derivation of the KKT condition in the convex problem relies on
And
the relationship between them.
Since the number of unknown coefficients in the above formula (18-25) is equal to the equation number, the solution can be directly performed, and further a specific closed solution of power distribution can be obtained. Thus, P 'is obtained'2The optimal solution of (1).
Finally, the above embodiments are only intended to illustrate the technical solutions of the present invention and not to limit the present invention, and although the present invention has been described in detail with reference to the preferred embodiments, it will be understood by those skilled in the art that modifications or equivalent substitutions may be made on the technical solutions of the present invention without departing from the spirit and scope of the technical solutions, and all of them should be covered by the claims of the present invention.
Claims (6)
1. A power allocation method based on a full-duplex cooperative NOMA system is characterized by comprising the following steps:
the base station sends the superposed signals to the relay user and the remote user;
the relay user receives the signal and adopts SIC to decode;
the base station sends new superposed signals to the relay user and the remote user, and the relay user forwards the signal of the remote user in the last time slot and is influenced by self-interference brought by a full-duplex mode;
the remote user receives signals from the relay user and the base station, MRC combination is carried out on the received signals, and SIC is carried out on the relay user under the condition of self-interference;
and solving the rates of the relay user and the remote user, and performing power distribution by maximizing the minimum rate of the user.
2. The cooperative NOMA system power allocation method of claim 1, wherein said relay user receives a signal and decodes it using SIC; where non-ideal SIC is considered.
3. The cooperative NOMA system power allocation method of claim 1, wherein the base station sends new superimposed signals to the relay user and the remote user, and the relay user forwards the signal of the remote user in the previous time slot and is affected by self-interference caused by a full duplex mode; when the near-end user acts as a relay, it is assumed that the transmission power of the relay user is constant, while the noise at the user is all white gaussian noise with zero mean unit variance.
4. The cooperative NOMA system power allocation method of claim 1, wherein the remote user receives signals from a relay user and a base station, and performs MRC combining on the received signals, and the relay user performs SIC under self-interference, comprising:
the remote user decodes the signals from the base station and the relay user respectively to obtain SINR when decoding;
MRC combination is carried out on the remote user to obtain the SINR after MRC combination;
and the relay user considers the self-interference condition, considers non-ideal SIC according to the SIC criterion, sequentially decodes the signals of the remote user and the relay user and obtains the SINR during decoding.
5. The cooperative NOMA system power allocation method of claim 1, wherein the rates of the relay user and the remote user are determined, and power allocation is performed by maximizing the minimum rate of the users, comprising:
sequentially obtaining the achievable rates of the relay user and the remote user according to a Shannon formula;
according to the idea of maximizing the minimum rate of the system, the maximum transmission power of the base station is taken as a constraint, an optimization problem is listed, and the optimization problem is solved.
6. The cooperative NOMA system power allocation method according to claim 4, wherein according to the concept of maximizing the minimum rate of the system, taking the maximum transmission power of the base station as a constraint, listing an optimization problem, and solving the optimization problem, comprises:
the optimization problem is a pseudo-concave problem, so that the optimization problem can be converted into a series of convex feasibility problems, and further a Lagrangian function for changing the optimization problem is obtained;
and solving the KKT condition of the optimization problem on the basis of obtaining the Lagrangian function, wherein the number of unknown coefficients in the KKT condition is equal to the number of equations, so that the KKT condition can be directly solved, and further a specific power distribution mode can be obtained, so that the optimal solution of the optimization problem can be obtained.
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