CN107154818A - Co-channel full duplex bi-directional relaying transmission method while based on single carrier frequency domain equalization - Google Patents
Co-channel full duplex bi-directional relaying transmission method while based on single carrier frequency domain equalization Download PDFInfo
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- H04B7/00—Radio transmission systems, i.e. using radiation field
- H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
- H04B7/022—Site diversity; Macro-diversity
- H04B7/026—Co-operative diversity, e.g. using fixed or mobile stations as relays
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Abstract
The present invention discloses one kind and is based on co-channel full duplex bi-directional relaying transmission method while single carrier frequency domain equalization, the problem of mainly solving to make via node complexity increase because of the remaining self-interference of processing in prior art.Its technical scheme includes：1) channel parameter is estimated；2) channel coefficients obtained using estimation select optimal via node；3) the optimal amplification factor of optimal via node is calculated；4) the optimal equivalent multipath channel of via node is constructed；5) source node modulate emission signal；6) optimal via node forwarding source node transmission signal；7) source node carries out a frequency domain equalization using the equivalent multipath channel docking collection of letters number of optimal via node；8) the reception signal after source node demodulation is balanced, recovery obtains source signal.This invention simplifies via node processing procedure, system Signal to Interference plus Noise Ratio is improved most possibly, so as to improve the reliability of co-channel full duplex bidirectional relay system simultaneously, the distributed collaborative Transmission system available for radio communication.
Description
Technical Field
The invention belongs to the technical field of wireless communication, and particularly relates to a full-duplex bidirectional relay transmission method which can be used for a distributed cooperative transmission system of wireless communication and improves the reliability and the spectrum utilization rate of the cooperative communication system.
Background
As the signal bandwidth in wireless communication is wider and less, the corresponding spectrum resources are less and less, and people gradually begin to research algorithms and technologies capable of maximally utilizing the spectrum resources. The full-duplex technology transmits and receives signals at the same time and the same frequency band, so that the full-duplex technology can improve the utilization rate of frequency spectrum resources of a future wireless communication network to the greatest extent, but has a serious self-interference problem, which limits the improvement of the performance of a full-duplex system. The cooperative communication technology utilizes idle nodes in a communication network as relays to realize virtual space diversity to resist multipath fading of wireless channels, and cooperative relay communication has become one of the key technologies for current and future wireless communication development due to the advantages of flexible relay layout, low cost and the like.
Document 1, Two-Way Full-Duplex amplitude-and-Forward relay, MILCOM 2013 and 2013IEEE militar Communications Conference, San Diego, CA,2013, pp.1-6. a Full-Duplex single-relay bidirectional transmission system model is analyzed, and parameters such as a system transmission rate, capacity, interruption probability and the like are simulated under the condition of depending on a fixed relay and without relay selection. However, the single relay transmission method has high requirements on the transmission environment, shadow fading formed by blocking of different objects in the transmission process can greatly affect the transmission of information, and the system reliability is low.
In document 2, Relay Selection for Two-Way Full Duplex Relay Networks with high amplitude-and-Forward Protocol, in IEEE Transactions on Wireless Communications, vol.13, No.7, pp.3768-3777, and july2014, a Relay Selection strategy is proposed for a multi-Relay scenario, and performances such as a bit error rate and an interruption probability of a Full-Duplex Relay system are analyzed. But the method has the defects that the fact that the infinite loop iteration of the relay residual self-interference signals between relay receiving and transmitting antennas is ignored, the relay residual self-interference channel is modeled into a single-path Rayleigh flat fading channel, and the influence of the full-duplex relay residual self-interference on the performance of the relay residual self-interference channel cannot be completely and objectively reflected.
In document 3, the ieam electronics science and technology university provides an asynchronous space-time code coding and decoding system and method in a full-duplex cooperative communication system (patent No. ZL201210199103.6 publication No. CN 102724027B) of its application, which is a full-duplex relay transmission method based on an asynchronous space-time code, and the method utilizes an asynchronous space-time code coding and decoding technology to suppress and eliminate residual self-interference signals of a relay node, and the full-duplex relay transmission method has the following disadvantages: the adoption of the asynchronous space-time coding and decoding method in the full-duplex cooperative communication system increases the complexity of the relay node in the residual self-interference signal processing process.
Disclosure of Invention
The invention aims to overcome the defects of the prior art, and provides a simultaneous same-frequency full-duplex bidirectional relay transmission method based on single carrier frequency domain equalization so as to simplify the processing process of a relay node on residual self-interference signals and improve the reliability of a full-duplex bidirectional relay cooperative communication system.
In order to achieve the purpose, the technical scheme of the invention is as follows:
(1) two source nodes S1, S2 and a relay node R1,R2,…,Ri,…,RNThe training sequence is used for carrying out minimum mean square error estimation on the system channel parameters to obtain the following parameters:
channel coefficient h from first source node S1 to ith relay node1iAnd channel coefficients h of the second source node S2 to the ith relay node2iThe remaining self-interference channel coefficients of the first source node S1hS1And the remaining self-interference channel coefficient h of the second source node S2S2And the relay node residual self-interference channel coefficienti is 1,2, …, and N is the relay number;
(2) selecting an optimal relay node RkWherein k represents a lower subscript value of the optimal relay node;
(3) calculating an optimal relay node RkOptimum amplification factor βk：
When | h2k|2≥|h1k|2When the temperature of the water is higher than the set temperature,
when | h1k|2＞|h2k|2When the temperature of the water is higher than the set temperature,
wherein h is1kRepresenting the channel coefficient, h, from the first source node S1 to the optimal relay node2kRepresenting the channel coefficients of the second source node S2 to the optimal relay node,representing the noise variance of the first source node S1,representing the noise variance of the second source node S2,represents the noise variance of the optimal relay node, representing the residual word interference channel coefficient of the optimal relay node, and L representing the length of a cyclic prefix added by a source node transmitting signal;
(4) optimal large amplification factor β with optimal relay nodekConstructing the channel coefficient matrix h of the equivalent multipath channel of the optimal relay nodek：
hk＝[h(0),...,h(l),...,h(L-1)]，
Wherein h (l) ═ βk(hLIkβk)lThe channel coefficient of the first path equivalent channel is represented, and L is more than or equal to 0 and less than or equal to L;
(5) after the first source node S1 and the second source node S2 modulate respective source signals, respectively, cyclic prefixes are added to obtain respective transmission signals x1And x2And transmit the respective transmission signals x1And x2Sent to the optimal relay node Rk；
(6) Optimal relay node RkFor the two transmission signals x1And x2Amplifying to obtain the transmitting signal t [ m ] of the mth time slot of the optimal relay node]：
Wherein x is1[m-j]The transmitted signal, x, representing the m-j time slot of the first source node S12[m-j]The transmitted signal, n, representing the m-j time slot of the second source node S2k[m-j]A noise signal representing the m-j-th time slot of the optimal relay node, j being 1,2, … ∞;
(7) the first source node S1 and the second source node S2 receive the transmission signal t [ m ] of the optimal relay node]To obtain respective received signals y1And y2Respectively removing the received signals y1And y2To obtain a signal y 'to be equalized of the first source node S1'1And a signal y 'to be equalized of a second source node S2'2；
(8) The first source node S1 and the second source node S2 are respectively corresponding to the signals y 'to be equalized'1And y'2Frequency domain equalization is carried out to obtain a signal to be demodulated of the first source node S1And a signal to be demodulated of the second source node S2
(9) The first source node S1 demodulates the signal to be demodulatedDemodulation is performed as a source signal a of the second source node S22The second source node S2 demodulates the signal to be demodulatedDemodulation is performed as a source signal a of the first source node S11。
Compared with the prior art, the invention has the following advantages:
firstly, the invention enables the residual self-interference channel of the relay node to be equivalent to an L-path multi-path channel, and utilizes the SC-FDE anti-multi-path technology to resist the multi-path effect formed by the residual self-interference of the relay at the source node, thereby simplifying the processing process of the relay node on the residual self-interference signal and reducing the complexity of the relay node.
Secondly, the invention uses the relay selection technology, namely, the source node selects an optimal relay from a plurality of candidate relay nodes for cooperative communication, thereby improving the signal-to-interference-and-noise ratio of the source node and the reliability of the system.
Drawings
FIG. 1 is a schematic diagram of a simultaneous co-frequency full duplex two-way communication scenario for use with the present invention;
FIG. 2 is a flow chart of an implementation of the present invention;
fig. 3 is a graph of bit error rate versus simulation for the present invention and a prior art method.
Detailed Description
The invention is further described below with reference to the accompanying drawings.
The invention is implemented in the scenario of fig. 1.
In fig. 1, two source nodes and N relay nodes are included, two channels are respectively provided between the source node and each relay, and the source node and the relay nodes each have a remaining self-interference channel, where:
s1 denotes a first source node, S2 denotes a second source node, R1,R2,…Ri,…,RNN relay nodes, i being 1,2, … N, N indicating the number of relays; the solid lines in fig. 1 represent the transmission channels between the source node and the relay node, and the dotted lines represent the remaining self-interference channels for each node.
The source nodes and the relay nodes work in a simultaneous same-frequency full-duplex mode, the two source nodes transmit signals to the relay nodes and receive the transmitted signals of the relay nodes at the same frequency, the relay nodes also receive the transmitted signals from the two source nodes at the same frequency, the relay nodes adopt an amplification forwarding protocol and forward the received signals of the previous time slot to the source nodes after amplification processing, and the residual self-interference signals of the source nodes and the relay nodes refer to residual self-interference signals after an active or passive self-interference elimination technology is adopted.
Referring to fig. 2, the implementation steps of the present invention for completing simultaneous co-frequency full duplex bidirectional relay cooperative communication are as follows:
step 1, estimating channel parameters.
Two source nodes S1, S2 and a relay node R1,R2,…,Ri,…,RNThe training sequence is used for carrying out minimum mean square error estimation on the system channel parameters to obtain the following parameters:
channel coefficient h from first source node S1 to ith relay node1iAnd the channel coefficient h from the second source node S2 to the ith relay2iThe remaining self-interference channel coefficient h of the first source node S1S1And the remaining self-interference channel coefficient h of the second source node S2S2And the relay node residual self-interference channel coefficienti is 1,2, …, N is the number of relays, and the channel information between the source node and the relay node is symmetric, i.e. the channel coefficient h from the ith relay node to the first source node S1i1Channel coefficient h with the first source node S1 to the ith relay node1iEqual channel coefficient h from the ith relay node to the second source node S2i2Channel coefficient h with the second source node S2 to the ith relay2iEqual to h1i＝hi1，h2i＝hi2。
And 2, selecting an optimal relay node.
2.1) Using the channel coefficient h from the first Source node S1 to the ith Relay node1iAnd the channel coefficient h from the second source node S2 to the ith relay2iAnd calculating the lower corner mark value of the optimal relay node:wherein, | - | represents solving parameter module value, min (-) represents taking the minimum value of the two parameters,representing that the maximum value of N parameters is taken;
2.2) selecting the kth relay node R according to the lower corner index value k of the optimal relay nodekIs the optimal relay node.
Step 3, countingOptimal relay node RkOptimum amplification factor βk。
3.1) calculating the signal to interference plus noise ratio ψ of the first source node S11And the signal to interference plus noise ratio psi of the second source node S22：
Wherein h is1kRepresenting the channel coefficient, h, from the first source node S1 to the optimal relay node2kRepresenting the channel coefficients of the second source node S2 to the optimal relay node,the remaining self-interference channel coefficients representing the optimal relay node, β representing the amplification factor of the optimal relay node,representing the noise variance of the first source node S1,representing the noise variance of the second source node S2,representing the noise variance of the optimal relay node, and L representing the cyclic prefix length added by the source node transmitting signal;
3.2) optimal amplification factor β for maximizing the signal-to-interference-and-noise ratio of the systemkThe expression of (a) is:
wherein,a value representing the amplification factor β that maximizes the expression;
signal to interference plus noise ratio psi of the first source node S11And the signal to interference plus noise ratio psi of the second source node S22Bringing in an optimum amplification factor βkIs derived to obtain the optimum amplification factor βkClosed-form solution of (c):
when | h2k|2≥|h1k|2When the temperature of the water is higher than the set temperature,
when | h1k|2＞|h2k|2When the temperature of the water is higher than the set temperature,
wherein,
and 4, constructing an equivalent multipath channel of the optimal relay node.
The residual self-interference channel of the optimal relay node is equivalent to an L-path multipath channel, and the optimal amplification factor β of the optimal relay node is utilizedkConstructing the channel coefficient matrix h of the equivalent multipath channel of the optimal relay nodek：
hk＝[h(0),...,h(l),...,h(L-1)]，
Wherein,and L is more than or equal to 0 and less than or equal to L.
And 5, modulating the information source signal by the source node.
First source node S1 pair source signal a1Modulating, and modulating the modulated signal sequence s1Adding a cyclic prefix to obtain a transmitting signal of the first source node:and transmits the transmission signal x1Sent to the optimal relay node Rk；
Second source node S2 pair source signal a2Modulating, and modulating the modulated signal sequence s2Adding a cyclic prefix to obtain a transmitting signal of a second source node:and transmits the transmission signal x2Sent to the optimal relay node Rk，
Wherein, IPAn identity matrix representing dimension M × M, M representing the modulated signal sequence s1And s2Is formed by an identity matrix IPAnd L represents the length of the cyclic prefix added by the signal transmitted by the source node, and L is less than M.
And 6, the optimal relay node forwards the transmitting signal of the source node.
Received signal r [ m ] of mth time slot of optimal relay node:
wherein x is1[m]A transmission signal, x, representing the m-th time slot of the first source node S12[m]A transmission signal representing the m-th time slot, t m, of the second source node S2]Transmitting signal representing mth time slot of optimal relay node, nk[m]A noise signal representing an mth time slot of the optimal relay node;
the optimal relay node adopts an amplification forwarding working mode to receive the signal r [ m-1] of the m-1 time slot]Amplifying βkMultiplying to obtain the transmitting signal t [ m ] of the mth time slot of the optimal relay node]：
t[m]＝βkr[m-1]，
Wherein,x1[m-1]the transmitted signal, x, representing the m-1 time slot of the first source node S12[m-1]The transmitted signal, t m-1, representing the m-1 time slot of the second source node S2]Transmitting signal representing the m-1 th time slot of the optimal relay node, nk[m-1]Representing the noise signal of the m-1 time slot of the optimal relay node;
substituting the expression of the m-1 time slot received signal r [ m-1] of the optimal relay node into the expression of t [ m ] to obtain the expansion of t [ m ]:
according to the formula, the relay residual self-interference signals form an infinite loop iteration process between the transmitting end and the receiving end of the relay node; the single-carrier frequency domain equalization technology can utilize a cyclic prefix to resist multipath effects, so that signals within the length L path of the cyclic prefix in the formula are taken as useful signals, and signals of L +1 path and later are taken as self-interference signals.
And 7, the source node receives the transmitting signal of the optimal relay node.
7.1) the first source node S1 and the second source node S2 receive the transmission signal t [ m ] of the optimal relay node]Obtaining the received signal y of each m time slot1[m]And y2[m]：
y1[m]＝h1kt[m]+hS1x1[m]+nS1[m]，
y2[m]＝h2kt[m]+hS2x2[m]+nS2[m]，
Wherein x is1[m]A transmission signal, x, representing the m-th time slot of the first source node S12[m]A transmitted signal representing the m-th time slot, n, of the second source node S2S1[m]Representing the noise signal of the m-th time slot, n, of the first source node S1S2[m]A received signal indicating an m-th time slot of the second source node S2;
7.2) two source nodes respectively remove the received signal y1And y2To obtain a signal y 'to be equalized of the first source node S1'1And a signal y 'to be equalized of a second source node S2'2：
y'1＝[T IP]y1，
y'2＝[T IP]y2，
Wherein T represents an M × L-dimensional zero matrix, IPRepresenting a unit matrix of dimension M × M, M representing the modulated signal sequence s1And s2L represents the cyclic prefix length added by the source node transmitting signal, L < M, y1Represents the received signal, y, of the source node S12Received signal, y 'of source node S2'1Denotes the signal to be equalized, y ', after the cyclic prefix has been removed by the first source node S1'2Indicating the signal to be equalized by the second source node S2 with the cyclic prefix removed.
And 8, carrying out frequency domain equalization on the signal to be equalized of the source node to obtain a signal to be demodulated.
The frequency domain equalization method comprises zero forcing equalization, minimum mean square error equalization and the like, in the embodiment, the two source nodes adopt the zero forcing equalization method, and the implementation steps are as follows:
8.1) first Source node S1 and second Source node S2 are respectively for respective signals y 'to be equalized'1And y'2Fourier transform is carried out to obtain a frequency domain receiving signal Y 'of the first source node S1'1And a frequency domain received signal Y 'of a second source node S2'2；
8.2) separately applying zero-forcing equalization to the frequency domain received signal Y'1And Y'2Equalizing to obtain equalized received signal Y1And Y2：
Y1＝Y′1W，
Y2＝Y′2W，
Wherein,representing a zero-forcing equalization matrix, H (L) representing the frequency domain response of the first path equivalent channel coefficient h (L), wherein L is more than or equal to 0 and less than or equal to L-1;
8.3) the first Source node S1 and the second Source node S2 respectively for the equalized received Signal Y1And Y2Performing inverse Fourier transform to obtain a signal to be demodulated of the first source node S1And a signal to be demodulated of the second source node S2
And 9, demodulating the received signal by the source node.
The first source node S1 demodulates the signal to be demodulatedDemodulation is performed as a source signal a of the second source node S22The second source node S2 demodulates the signal to be demodulatedDemodulation is performed as a source signal a of the first source node S11And the whole full duplex bidirectional relay transmission process is completed.
The effects of the present invention will be described in detail below with reference to simulations.
1. Simulation conditions
The simulation experiment of the invention is carried out under MATLAB 7.11 software. In the simulation experiment of the invention, a source node modulates a source signal by adopting a quadrature amplitude modulation method, the length M of a transmitting signal frame obtained by modulation is 128, and the length L of a cyclic prefix is 32. The channel from the source node to the relay node and the residual self-interference channel of each node are Rayleigh flat fading channels, the residual self-interference of the relay node and the two source nodes are-40 dB, and the noise variance of each node is equal and is-40 dB. The range of the simulation signal-to-noise ratio is 0-18 dB, and the simulation times are 10000 times.
2. Simulation content and simulation result
The method proposed in document 2 is used as a comparison method, and the bit error rate performance of the full-duplex bidirectional relay transmission system adopting the comparison method and the method proposed by the present invention is simulated and compared, and the result is shown in fig. 3. As can be seen from fig. 3, when the number of relays is 3, the error rate performance of the present invention is improved by about 4dB compared to the comparison method, and when the number of relays is 5, the error rate performance of the present invention is improved by 5dB compared to the comparison method,
simulation results show that: the error rate performance of the full-duplex bidirectional relay transmission system using the method is obviously superior to that of the full-duplex bidirectional relay transmission system using the comparison method, which shows that the method improves the reliability of the system while simplifying the relay residual self-interference processing process.
Claims (5)
1. A simultaneous same-frequency full duplex two-way relay transmission method based on single carrier frequency domain equalization comprises the following steps:
(1) two source nodes S1, S2 and a relay node R1,R2,…,Ri,…,RNThe training sequence is used for carrying out minimum mean square error estimation on the system channel parameters to obtain the following parameters:
channel coefficient h from first source node S1 to ith relay node1iAnd channel coefficients h of the second source node S2 to the ith relay node2iThe remaining self-interference channel of the first source node S1Number hS1And the remaining self-interference channel coefficient h of the second source node S2S2And the relay node residual self-interference channel coefficienti is 1,2, …, and N is the relay number;
(2) selecting an optimal relay node RkWherein k represents a lower subscript value of the optimal relay node;
(3) calculating an optimal relay node RkOptimum amplification factor βk：
When | h2k|2≥|h1k|2When the temperature of the water is higher than the set temperature,
when | h1k|2＞|h2k|2When the temperature of the water is higher than the set temperature,
wherein h is1kRepresenting the channel coefficient, h, from the first source node S1 to the optimal relay node2kRepresenting the channel coefficients of the second source node S2 to the optimal relay node,representing the noise variance of the first source node S1,representing the noise variance of the second source node S2,represents the noise variance of the optimal relay node, representing the residual word interference channel coefficient of the optimal relay node, and L representing the length of a cyclic prefix added by a source node transmitting signal;
(4) optimal large amplification factor β with optimal relay nodekConstructing the channel coefficient matrix h of the equivalent multipath channel of the optimal relay nodek：
hk＝[h(0),...,h(l),...,h(L-1)]，
Wherein,the channel coefficient of the first path equivalent channel is represented, and L is more than or equal to 0 and less than or equal to L;
(5) after the first source node S1 and the second source node S2 modulate respective source signals, respectively, cyclic prefixes are added to obtain respective transmission signals x1And x2And transmit the respective transmission signals x1And x2Sent to the optimal relay node Rk；
(6) Optimal relay node RkFor the two transmission signals x1And x2Amplifying to obtain the transmitting signal t [ m ] of the mth time slot of the optimal relay node]：
<mrow> <mtable> <mtr> <mtd> <mrow> <mi>t</mi> <mrow> <mo>&lsqb;</mo> <mi>m</mi> <mo>&rsqb;</mo> </mrow> <mo>=</mo> <msub> <mi>&beta;</mi> <mi>k</mi> </msub> <munderover> <mi>&Sigma;</mi> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>L</mi> </munderover> <msup> <mrow> <mo>(</mo> <mrow> <msub> <mi>&beta;</mi> <mi>k</mi> </msub> <msub> <mi>h</mi> <mrow> <msub> <mi>LI</mi> <mi>k</mi> </msub> </mrow> </msub> </mrow> <mo>)</mo> </mrow> <mrow> <mi>j</mi> <mo>-</mo> <mn>1</mn> </mrow> </msup> <mrow> <mo>{</mo> <mrow> <msub> <mi>h</mi> <mrow> <mn>1</mn> <mi>k</mi> </mrow> </msub> <msub> <mi>x</mi> <mn>1</mn> </msub> <mrow> <mo>&lsqb;</mo> <mrow> <mi>m</mi> <mo>-</mo> <mi>j</mi> </mrow> <mo>&rsqb;</mo> </mrow> <mo>+</mo> <msub> <mi>h</mi> <mrow> <mn>2</mn> <mi>k</mi> </mrow> </msub> <msub> <mi>x</mi> <mn>2</mn> </msub> <mrow> <mo>&lsqb;</mo> <mrow> <mi>m</mi> <mo>-</mo> <mi>j</mi> </mrow> <mo>&rsqb;</mo> </mrow> <mo>+</mo> <msub> <mi>n</mi> <mi>k</mi> </msub> <mrow> <mo>&lsqb;</mo> <mrow> <mi>m</mi> <mo>-</mo> <mi>j</mi> </mrow> <mo>&rsqb;</mo> </mrow> </mrow> <mo>}</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>+</mo> <msub> <mi>&beta;</mi> <mi>k</mi> </msub> <munderover> <mi>&Sigma;</mi> <mrow> <mi>j</mi> <mo>=</mo> <mi>L</mi> <mo>+</mo> <mn>1</mn> </mrow> <mi>&infin;</mi> </munderover> <msup> <mrow> <mo>(</mo> <mrow> <msub> <mi>&beta;</mi> <mi>k</mi> </msub> <msub> <mi>h</mi> <mrow> <msub> <mi>LI</mi> <mi>k</mi> </msub> </mrow> </msub> </mrow> <mo>)</mo> </mrow> <mrow> <mi>j</mi> <mo>-</mo> <mn>1</mn> </mrow> </msup> <mrow> <mo>{</mo> <mrow> <msub> <mi>h</mi> <mrow> <mn>1</mn> <mi>k</mi> </mrow> </msub> <msub> <mi>x</mi> <mn>1</mn> </msub> <mrow> <mo>&lsqb;</mo> <mrow> <mi>m</mi> <mo>-</mo> <mi>j</mi> </mrow> <mo>&rsqb;</mo> </mrow> <mo>+</mo> <msub> <mi>h</mi> <mrow> <mn>2</mn> <mi>k</mi> </mrow> </msub> <msub> <mi>x</mi> <mn>2</mn> </msub> <mrow> <mo>&lsqb;</mo> <mrow> <mi>m</mi> <mo>-</mo> <mi>j</mi> </mrow> <mo>&rsqb;</mo> </mrow> <mo>+</mo> <msub> <mi>n</mi> <mi>k</mi> </msub> <mrow> <mo>&lsqb;</mo> <mrow> <mi>m</mi> <mo>-</mo> <mi>j</mi> </mrow> <mo>&rsqb;</mo> </mrow> </mrow> <mo>}</mo> </mrow> </mrow> </mtd> </mtr> </mtable> <mo>,</mo> </mrow>
Wherein x is1[m-j]The transmitted signal, x, representing the m-j time slot of the first source node S12[m-j]The transmitted signal, n, representing the m-j time slot of the second source node S2k[m-j]A noise signal representing the m-j-th time slot of the optimal relay node, j being 1,2, … ∞;
(7) the first source node S1 and the second source node S2 receive the transmission signal t [ m ] of the optimal relay node]To obtain respective received signals y1And y2Respectively removing the received signals y1And y2To obtain a signal y 'to be equalized of the first source node S1'1And a signal y 'to be equalized of a second source node S2'2；
(8) The first source node S1 and the second source node S2 are respectively corresponding to the signals y 'to be equalized'1And y'2Frequency domain equalization is carried out to obtain a signal to be demodulated of the first source node S1And a signal to be demodulated of the second source node S2
(9) The first source node S1 demodulates the signal to be demodulatedDemodulation is performed as a source signal a of the second source node S22The second source node S2 demodulates the signal to be demodulatedDemodulation is performed as a source signal a of the first source node S11。
2. The method of claim 1, wherein the optimal relay node R is selected in step (2)kThe method comprises the following steps:
(2a) utilizing the channel coefficient h from the first source node S1 to the ith relay node1iAnd the channel coefficient h from the second source node S2 to the ith relay2iAnd calculating the lower corner mark value of the optimal relay node:wherein, | - | represents solving parameter module value, min (-) represents taking the minimum value of the two parameters,representing that the maximum value of N parameters is taken;
(2b) selecting the kth relay node R according to the lower corner index value k of the optimal relay nodekIs the optimal relay node.
3. The method of claim 1, wherein the two source nodes in step (5) add cyclic prefixes to the modulated signal according to the following equation:
<mrow> <msub> <mi>x</mi> <mn>1</mn> </msub> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msup> <mi>I</mi> <mo>&prime;</mo> </msup> </mtd> </mtr> <mtr> <mtd> <msub> <mi>I</mi> <mi>P</mi> </msub> </mtd> </mtr> </mtable> </mfenced> <msub> <mi>s</mi> <mn>1</mn> </msub> <mo>,</mo> </mrow>
<mrow> <msub> <mi>x</mi> <mn>2</mn> </msub> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msup> <mi>I</mi> <mo>&prime;</mo> </msup> </mtd> </mtr> <mtr> <mtd> <msub> <mi>I</mi> <mi>P</mi> </msub> </mtd> </mtr> </mtable> </mfenced> <msub> <mi>s</mi> <mn>2</mn> </msub> <mo>,</mo> </mrow>
wherein s is1Representing the modulated signal, x, of the first source node S11Representing a transmitted signal, S, of a first source node S12Representing the modulated signal, x, of the second source node S22Representing a transmitted signal, I, of a second source node S2PAn identity matrix representing dimension M × M, M representing the modulated signal sequence s1And s2Is of length I' is ofPAnd L represents the length of the cyclic prefix added by the signal transmitted by the source node, and L is less than M.
4. The method of claim 1, wherein the two source nodes in step (7) remove the cyclic prefix of the received signal according to the following equation:
y'1＝[T IP]y1，
y'2＝[T IP]y2，
wherein T represents an M × L-dimensional zero matrix, IPRepresenting a unit matrix of dimension M × M, M representing the modulated signal sequence s1And s2L represents the cyclic prefix length added by the source node transmitting signal, L < M, y1Represents the received signal, y, of the source node S12Received signal, y 'of source node S2'1Denotes the signal to be equalized, y ', after the cyclic prefix has been removed by the first source node S1'2Indicating that the second source node S2 has removed the cyclic prefix and is to be equalizedA signal.
5. The method of claim 1, wherein the first source node S1 and the second source node S2 of step (8) are respectively coupled to respective signals y 'to be equalized'1And y'2Carrying out frequency domain equalization according to the following steps:
(8a) the first source node S1 and the second source node S2 treat the equalized signal y 'respectively'1And y'2Fourier transform is carried out to obtain a frequency domain receiving signal Y of the first source node S11' and the frequency domain received signal Y of the second source node S22'；
(8b) Two frequency domain received signals Y of (8a) respectively1' and Y2' equalizing to obtain the equalized received signal Y of the first source node S11The received signal Y after being equalized with the second source node S22：
Y1＝Y'1W，
Y2＝Y'2W，
Wherein,representing a zero-forcing equalization matrix, H (L) representing the frequency domain response of the first path equivalent channel coefficient h (L), wherein L is more than or equal to 0 and less than or equal to L-1;
(8c) the first source node S1 and the second source node S2 respectively provide the equalized received signal Y1And Y2Performing inverse Fourier transform to obtain a signal to be demodulated of the first source node S1And a signal to be demodulated of the second source node S2
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