KR101363814B1 - Adaptive multiplexed beam forming technique for multiple transmitters and receivers in mimo relaying systems - Google Patents

Adaptive multiplexed beam forming technique for multiple transmitters and receivers in mimo relaying systems Download PDF

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KR101363814B1
KR101363814B1 KR1020120121704A KR20120121704A KR101363814B1 KR 101363814 B1 KR101363814 B1 KR 101363814B1 KR 1020120121704 A KR1020120121704 A KR 1020120121704A KR 20120121704 A KR20120121704 A KR 20120121704A KR 101363814 B1 KR101363814 B1 KR 101363814B1
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stream
beamforming
relay
data rate
effective data
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KR1020120121704A
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Korean (ko)
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이인호
이수빈
명정호
강준혁
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한경대학교 산학협력단
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • 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
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • 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
    • H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/06—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613—Diversity 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
    • H04B7/0615—Diversity 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
    • H04B7/0617—Diversity 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
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B7/00—Radio transmission systems, i.e. using radiation field
    • H04B7/14—Relay systems
    • H04B7/15—Active relay systems
    • H04B7/155—Ground-based stations

Abstract

Disclosed are a method and apparatus for adaptive multiplexing beamforming transmission between multiple transmitters and multiple receivers in a multi-antenna relay system. In the multiplexed beamforming transmission method of a multi-antenna relay system, the multi-antenna relay system includes a single relay, and transmits a signal to the relay by coordinated beamforming at a plurality of source nodes. step; And decoupling the signal from the relay and transmitting the separated signal to a plurality of destination nodes by multi-user beamforming, wherein the source node and the The beamforming vector may be determined using channel state information of a first hop indicating a link between relays and a second hop indicating a link between the relay and the destination node.

Description

Adaptive multiplexing beamforming transmission method between multiple transmitters and multiple receivers in multi-antenna relay system and apparatus therefor

Embodiments of the present invention relate to a method and apparatus for determining a beamforming vector in a multi-antenna relay system.

The background technology of the present invention is disclosed in the following documents.

1) IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS, VOL. 26, NO. 8, OCTOBER 2008, "Coordinated Beamforming with Limited Feedback in the MIMO Broadcast Channel"

2) IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS, VOL. 24, NO. 3, MARCH 2006, "On the Optimality of Multiantenna Broadcast Scheduling Using Zero-Forcing Beamforming"

3) Korean Patent Publication No. 10-2009-0100721 (published September 24, 2009), "Beam forming method and apparatus in a multi-antenna multi-user communication system"

The pre-coding scheme and the post-processing scheme used in the transmission apparatus of the multi-user communication system using multiple antennas include a linear scheme and a non-linear scheme. Here, the linear precoding scheme is further divided into a unitary pre-coding scheme and a non-unitary precoding scheme. In the case of the coordinated beam forming method, the unitary non-coding method is used.

When using the coordinated beamforming scheme, the transmitting apparatus calculates a precoding matrix and a reception beamforming vector (or a reception beamforming matrix) using downlink channel information with all active users. At this time, the precoding matrix and the reception beamforming vector are calculated to minimize inter-user interference, using an iteration algorithm.

The coordinated beamforming scheme uses the following two methods to calculate a transmit / receive beamforming vector.

The first method uses pilot beamforming, and the transmitting apparatus assigns a dedicated pilot to each receiving apparatus. Then, the transmitting apparatus transmits the dedicated pilot as a reception beamforming vector of each receiving apparatus by beamforming. Each receiving apparatus estimates an effective channel using the dedicated pilot, and then forms a matched filter on the estimated effective channel to use as a reception beamforming vector.

The second method is that the transmitting device quantizes the receiving beamforming vector of each receiving device and transmits it to each receiving device via a feedforward channel. The use of either of the two methods depends on whether the multi-antenna multi-user communication system uses a dedicated pilot.

In this specification, a beamforming vector determination technique for maximizing end-to-end sum rate in a multi-antenna relay system is proposed.

Low complexity multi-hop coordinated beamforming techniques can be provided to improve spectral efficiency.

A beamforming vector determination technique may be provided to maximize end-to-end sum rate in a multi-antenna relay system.

According to an embodiment of the present invention, a multiplexed beamforming transmission method of a multi-antenna relay system includes:-the multi-antenna relay system is configured with a single relay, and-coordinated beamforming at a plurality of source nodes. Transmitting a signal to the relay; And decoupling the signal from the relay and transmitting the separated signal to a plurality of destination nodes by multi-user beamforming, wherein the source node and the A beamforming vector may be determined using channel state information of a first hop indicating a link between relays and a second hop indicating a link between the relay and the destination node.

According to one aspect, a multiplexed beamforming transmission method of a multi-antenna relay system includes: calculating an effective data rate of the first hop; Calculating an effective data rate of the second hop; And determining the number of transport streams and the beamforming vector corresponding to each stream by using the effective data rate of the first hop and the effective data rate of the second hop.

According to another aspect, the calculating of the effective data rate of the first hop, the effective data rate for the j-th stream of the source node k from the effective data rate (C S1, i ) for the i-th stream of source node 1 (C Sk , j ) may be calculated through Equation 1.

Equation (1)

Figure 112012089078111-pat00001

Where k is the number of source nodes, w S1 , i is the beamforming vector of the i-th stream at source node 1, w Sk , j is the beamforming vector of the j-th stream at source node k, and H S1R is source node 1 Is the channel matrix between and relay, H SkR is the channel matrix between source node k and the relay, f S1 , i is beamforming of the i th stream at source node 1, f Sk , j is beamforming of the j th stream at source node k, P S1 , i is the transmit power of the i-th stream at source node 1, P Sk , j is the transmit power of the j-th stream at source node k, and N 0 is the noise power.)

According to another aspect, calculating the effective data rate of the second hop, the effective data for the n-th stream of the destination node k from the effective data rate (C D1, m ) for the m-th stream of the destination node 1 The ratio C Dk, n may be calculated through Equation 2.

Equation 2:

Figure 112012089078111-pat00002

Where k is the number of destination nodes, w D1 , m is the beamforming vector of the mth stream at destination node 1, w Dk , n is the beamforming vector of the nth stream at destination node k, and H RD1 is the destination in the relay. Channel matrix between node 1, H RDk is the channel matrix between relay and destination node k, f D1 , m is beamforming of mth stream at destination node 1, f Dk , n is beamforming of nth stream at destination node k, P D1 , m denotes transmission power of the mth stream at the destination node 1, P Dk , n denotes transmission power of the nth stream at the destination node k, and N 0 denotes noise power.)

According to another aspect, the determining of the number of transport streams and the beamforming vector corresponding to each stream may include: the number of transport streams satisfying the condition of Equation 3 when the source node and the destination node each have k pieces. And a beamforming vector corresponding to each stream may be determined.

Equation 3:

Figure 112012089078111-pat00003

Where Q I is the set of stream indices of source node 1, Q J is the set of stream indices of source node k, Q M is the set of stream indices of destination node 1, Q N is the set of stream indices of destination node k, C S1 , i is the effective data rate for the i th stream of source node 1, C Sk , j is the effective data rate for the j th stream of source node k, C D1 , m is the effective data rate for the m th stream of destination node 1 , C Dk, n means the effective data rate for the nth stream of the destination node k.)

According to an embodiment of the present invention, a multiplexed beamforming transmission method of a multi-antenna relay system includes:-the multi-antenna relay system is configured as a single relay; and-transmits signals to the relay by coordinated beamforming at a plurality of source nodes. Making; And after decoupling the signal in the relay, transmitting the separated signal to a plurality of destination nodes by multi-user beamforming, wherein the first signal representing a link between the source node and the relay is present. The number of transport streams for maximizing end-to-end rate using the effective data rate of the second hop and the effective data rate of the second hop representing the link between the relay and the destination node, and the beamforming vector corresponding to each stream Can be determined.

According to an embodiment of the present invention, an apparatus for multiplexed beamforming transmission of a multi-antenna relay system includes:-the multi-antenna relay system is composed of a single relay,-a first hop representing a plurality of source nodes and a link between the relays, and A calculator for calculating channel state information of a second hop indicating a link between the relay and the plurality of destination nodes; And a determination unit for determining the number of transport streams for maximizing the end-to-end transmission rate and the beamforming vector corresponding to each stream by using channel state information of the first and second hops.

According to this embodiment, adaptive multiplexing beamforming transmission between multiple transmitters and multiple receivers is possible without cooperation between sources and destinations with only a single relay.

According to the present embodiment, all signals transmitted by the source can be separated from the relay, and the separated signals can be simultaneously transmitted to each destination by adopting various transmission schemes in the second hop.

According to the present embodiment, by using local channel state information of the first hop or the second hop, the number of streams and beamforming vectors corresponding to each stream can be determined for maximizing end-to-end transmission rate.

1 illustrates an exemplary model of a multi-antenna relay system for explaining a beamforming method according to the present invention.
2 is a flowchart illustrating a beamforming transmission method in a multi-antenna relay system according to an embodiment of the present invention.
3 is a flowchart illustrating a method of determining the number of transport streams and a beamforming vector corresponding to each stream according to an embodiment of the present invention.
4 is a block diagram illustrating an internal configuration of a multi-antenna relay system for beamforming transmission between multiple transmitters and multiple receivers according to an embodiment of the present invention.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS Hereinafter, embodiments of the present invention will be described in detail with reference to the accompanying drawings.

The present invention proposes an adaptive multiplexed beamforming transmission method between multiple transmitters and multiple receivers in a multi-antenna relay system.

A system model for describing a specific embodiment of the present invention is shown in FIG. 1.

Referring to FIG. 1, a first source node S1 (hereinafter referred to as 'source 1') and a first destination node D1 (hereinafter referred to as 'destination 1'), In addition, the second source node S2 (hereinafter referred to as 'source 2') and the second destination node D2 (hereinafter referred to as 'destination 2') may use a relay R to communicate data. Is done. Here, each of the nodes S1, S2, D1, and D2 may be assumed to be two antennas, which may be extended as much as possible.

FIG. 2 is a flowchart illustrating a beamforming transmission method between multiple transmitters and multiple receivers in the system model of FIG. 1.

In step S210, as a first hop transmission, two sources S1 and S2 transmit a signal to the relay by coordinated beamforming (ie, a generalized eigenvector).

In this case, two reception beamforming vectors w1 and w2 exist in the relay R, and the two reception beamforming vectors w1 and w2 may be received in parallel, respectively.

The two receive beamforming vectors w1 and w2 are channel matrices (

Figure 112012089078111-pat00004
,
Figure 112012089078111-pat00005
Can be obtained as a normalized generalized vector, which can be obtained by solving a generalized eigenvalue problem. The reception beamforming vectors w1 and w2 may be calculated using a theorem proposed by a known technique.

In addition, the transmission beamformings f1 and f2 may be obtained through Equation 1.

Figure 112012089078111-pat00006

In this case, the signals r (1) and r (2) received from the relay R may be summarized as in Equation 2.

Figure 112012089078111-pat00007

At this time,

Figure 112012089078111-pat00008
On the nature of the eigenvectors
Figure 112012089078111-pat00009
This makes it possible to distinguish between x1 and x2.

For example, looking at the results of the matlab-test of Table 1 below for the received signals r (1) and r (2) of the relay R, it can be seen that they are nulled. have.

Figure 112012089078111-pat00010

The foregoing describes the decoupling scheme of the signal for the first hop (ie, the link between the sources S1, S2 and the relay R).

Next, in step S220, as a second hop transmission, the relay transmits the signals separated in step 210 to two destinations (destination 1 and destination 2) by multi-user beamforming, respectively.

The transmission of the second hop separates the decoupled independent signals into the corresponding destination, that is, the signal received at the source 1 (S1) is the destination 1 (D1), and the signal received at the source 2 (S2) is the destination 2 (D2). Will be sent). In this case, the second hop transmission may be implemented by a transmission scheme using any one of various known beamforming techniques.

The present invention proposes a method for determining the number of independent data streams and beamforming vectors corresponding to each stream in order to maximize end-to-end sum rate in a multi-antenna relay system. do.

3 is a flowchart illustrating a method of determining the number of streams and a beamforming vector according to an embodiment of the present invention.

In the following embodiments, it is assumed that the transmission scheme for the second hop is zero-forcing beamforming in order to determine the number of streams and the beamforming vector.

In addition, there is a rank of a MIMO channel for each hop, and this rank may mean the maximum number of transmittable data streams. In this embodiment, it is assumed that the number of antennas of all nodes is the same. Therefore, when the number of antennas is K, the ranks of the first hop and the second hop are equal to K.

In step S301, the multi-antenna relay system may calculate an effective data rate for source 1 and source 2 in the first hop.

The effective data rate for the i-th stream of source 1 is expressed by Equation 3 below.

Figure 112012089078111-pat00011

The effective data rate for the j-th stream of source 2 is as shown in equation (4).

Figure 112012089078111-pat00012

Here, P S1 , i , may denote transmit power of the i-th stream in source 1, P S2 , j denotes transmit power of the j-th stream in source 2, and N 0 may mean noise power. I ≠ j. In addition, if the number of i (ie, the number of streams corresponding to source 1) is I and the number of j (ie, the number of streams corresponding to source 2) is J, then (I + J) ≦ K.

Subsequently, in step S302, the multi-antenna relay system may calculate an effective data rate for destination 1 and destination 2 on the second hop.

The effective data rate for the mth stream of the destination 1 is expressed by Equation 5.

Figure 112012089078111-pat00013

The effective data rate for the nth stream of the destination 2 is expressed by Equation 6.

Figure 112012089078111-pat00014

Here, P D1 , m may mean transmit power of the mth stream transmitted from the relay to the destination 1, P D2 , n may mean transmit power of the nth stream transmitted from the relay to the destination 2, and N 0 may mean noise power. . However, m ≠ n. In addition, if the number of m (ie, the number of streams transmitted to the destination 1) is M and the number of n (ie, the number of streams transmitted to the destination 2) is N, (M + N) ≦ K.

Equations 3 to 6 correspond to a case of applying a beamforming technique for removing inter-stream or inter-user interference. In other words, in the first hop, Equations 3 and 4 are eliminated by using the coordinated beamforming technique for decoupling, and in the second hop, Equations are removed by using the zero-forcing beamforming. 5, 6.

In operation S303, the multi-antenna relay system may determine the number of streams and the beamforming vector for each stream to maximize the end-to-end transmission rate using the effective data rate of the first hop and the effective data rate of the second hop. have.

A method of determining the number of streams and the beamforming vector for each stream to maximize the end-to-end transmission rate is shown in Equation 7.

Figure 112012089078111-pat00015

Here, Q I is a set of stream indexes of the source 1, Q J is a set of stream indexes of the source 2. Q M is a set of stream indexes transmitted from the relay to the destination 1, and Q N is a set of stream indexes transmitted from the relay to the destination 2.

Equation 7 is derived by using the end-to-end transfer rate is close to the minimum data rate of the first hop data rate and the second hop data rate, and when using the equation (7) source 1, source 2, relay The number of transport streams for the destination 1 and the destination 2 in the relay and the beamforming vector for the corresponding stream may be determined at.

Therefore, in the present embodiment, by finding the stream indexes of Q I , Q J , Q M , and Q N, the number of transport streams for maximizing the end-to-end rate and the beamforming vector corresponding to each stream index can be obtained.

4 is a block diagram illustrating an internal configuration of a multi-antenna relay system for determining the number of streams and a beamforming vector according to an embodiment of the present invention.

As shown in FIG. 4, the multi-antenna relay system according to an exemplary embodiment may include a calculator 410, a determiner 420, and a transmitter / receiver 430. The system model described with reference to FIG. 1 will be described as an example.

The calculator 410 may calculate an effective data rate for the source 1 and the source 2 in the first hop and an effective data rate for the destination 1 and the destination 2 in the second hop. In this case, the effective data rate for the i-th stream of the source 1 may be defined as in Equation 3, and the effective data rate for the j-th stream of the source 2 may be defined as in Equation 4. In addition, the effective data rate for the m-th stream of the destination 1 may be defined as Equation 5, and the effective data rate for the n-th stream of the destination 2 may be defined as Equation 6.

The determiner 420 may determine the Rx / Tx beamforming vector using local channel state information (CSI). In the present exemplary embodiment, the number of streams for maximizing the end-to-end transmission rate and the beamforming vector for each stream may be determined using the effective data rate of the first hop and the second hop calculated by the calculator 410. have. For example, the determiner 420 determines the number of streams and the beamforming vector for each stream in consideration of the fact that the end-to-end transmission rate is close to the minimum data rate of the first hop data rate and the second hop data rate. Can be. In other words, the determination unit 420 finds a stream index that satisfies the condition of Equation 7 for the source 1, the source 2, the relay 1, the destination 1, and the relay 2, and the number of transport streams and beamforming corresponding to each stream. The vector can be determined.

The transmitter / receiver 430 may receive signals of the source 1 and the source 2 based on the Rx / Tx beamforming vector determined by the determiner 420, and may simultaneously transmit each signal to the destination 1 and the destination 2, respectively.

Therefore, the multi-hop coordinated beamforming according to the present invention is a technique capable of simultaneously transmitting the signal of source 1 and the signal of source 2 to destination 1 and destination 2, respectively, with the aid of a single relay.

As described above, according to the present exemplary embodiment, data may be transmitted between multiple transmitters and multiple receivers without cooperation between sources and destinations using only two orthogonal channels. In addition, according to the present embodiment, all signals transmitted by the source can be separated from the relay, and various transmission schemes can be adopted in the second hop for transmitting the separated signal to each destination. In addition, according to the present embodiment, local channel state information of the first hop or the second hop may be used to generate a Tx / Rx beamforming vector.

The methods according to embodiments of the present invention may be implemented in the form of a program instruction that can be executed through various computer systems and recorded in a computer-readable medium. The computer-readable medium may include program instructions, data files, data structures, and the like, alone or in combination. The program instructions recorded on the medium may be those specially designed and constructed for the present invention or may be available to those skilled in the art of computer software. Furthermore, the above-described file system can be recorded on a computer-readable recording medium.

As described above, the present invention has been described by way of limited embodiments and drawings, but the present invention is not limited to the above embodiments, and those skilled in the art to which the present invention pertains various modifications and variations from such descriptions. This is possible.

Therefore, the scope of the present invention should not be limited to the described embodiments, but should be determined by the equivalents of the claims, as well as the claims.

410: calculation unit
420:
430: transmitter / receiver

Claims (11)

delete In the beamforming method of a multi-antenna relay system,
The multi-antenna relay system is composed of a single relay,
Transmitting a signal to the relay with coordinated beamforming at a plurality of source nodes; And
Decoupling the signal in the relay and transmitting the separated signal to a plurality of destination nodes in multi-user beamforming
Lt; / RTI >
A beamforming vector is determined using channel state information of a first hop indicating a link between the source node and the relay and a second hop indicating a link between the relay and the destination node,
The method comprises:
Calculating an effective data rate of the first hop;
Calculating an effective data rate of the second hop; And
Determining the number of transport streams and the beamforming vector corresponding to each stream by using the effective data rate of the first hop and the effective data rate of the second hop
Multiplexed beamforming transmission method further comprising. 3. The method of claim 2,
Computing the effective data rate of the first hop,
Computing the effective data rate (C Sk, j ) for the j-th stream of the source node k through Equation 1 from the effective data rate (C S1, i ) for the i-th stream of the source node 1
Multiplexed beamforming transmission method characterized in that.
Equation 1:
Figure 112012089078111-pat00016

Where k is the number of source nodes, w S1 , i is the beamforming vector of the i-th stream at source node 1, w Sk , j is the beamforming vector of the j-th stream at source node k, and H S1R is source node 1 Is the channel matrix between and relay, H SkR is the channel matrix between source node k and the relay, f S1 , i is beamforming of the i th stream at source node 1, f Sk , j is beamforming of the j th stream at source node k, P S1 , i is the transmit power of the i-th stream at source node 1, P Sk , j is the transmit power of the j-th stream at source node k, and N 0 is the noise power.) 3. The method of claim 2,
Computing the effective data rate of the second hop,
Computing the effective data rate (C Dk, n ) for the nth stream of the destination node k through the equation 2 from the effective data rate (C D1, m ) for the mth stream of the destination node 1
Multiplexed beamforming transmission method characterized in that.
Equation 2:
Figure 112012089078111-pat00017

Where k is the number of destination nodes, w D1 , m is the beamforming vector of the mth stream at destination node 1, w Dk , n is the beamforming vector of the nth stream at destination node k, and H RD1 is the destination in the relay. Channel matrix between node 1, H RDk is the channel matrix between relay and destination node k, f D1 , m is beamforming of mth stream at destination node 1, f Dk , n is beamforming of nth stream at destination node k, P D1 , m denotes transmission power of the mth stream at the destination node 1, P Dk , n denotes transmission power of the nth stream at the destination node k, and N 0 denotes noise power.) 3. The method of claim 2,
The determining of the number of transport streams and the beamforming vector corresponding to each stream may include:
Determining the number of the transport streams satisfying the condition of Equation 3 and the beamforming vector corresponding to each stream when the source node and the destination node each have k pieces.
Multiplexed beamforming transmission method characterized in that.
Equation 3:
Figure 112012089078111-pat00018

Where Q I is the set of stream indices of source node 1, Q J is the set of stream indices of source node k, Q M is the set of stream indices of destination node 1, Q N is the set of stream indices of destination node k, C S1 , i is the effective data rate for the i th stream of source node 1, C Sk , j is the effective data rate for the j th stream of source node k, C D1 , m is the effective data rate for the m th stream of destination node 1 , C Dk, n means the effective data rate for the nth stream of the destination node k.) In the beamforming method of a multi-antenna relay system,
The multi-antenna relay system is composed of a single relay,
Transmitting a signal to the relay with coordinated beamforming at a plurality of source nodes; And
Decoupling the signal in the relay and transmitting the separated signal to a plurality of destination nodes by multi-user beamforming
Lt; / RTI >
A transmission for maximizing end-to-end rate using an effective data rate of a first hop representing a link between the source node and the relay and a valid data rate of a second hop representing a link between the relay and the destination node Determining the number of streams and the beamforming vector corresponding to each stream
Multiplexed beamforming transmission method characterized in that. In the beamforming apparatus of a multi-antenna relay system,
The multi-antenna relay system is composed of a single relay,
A calculation unit for calculating channel state information of a first hop indicating a link between a plurality of source nodes and the relay and a second hop indicating a link between the relay and a plurality of destination nodes; And
Decision unit for determining the number of transport streams for maximizing the end-to-end transmission rate and the beamforming vector corresponding to each stream by using the channel state information of the first hop and the second hop
Multiplexed beamforming transmission device comprising a. The method of claim 7, wherein
The calculation unit may calculate,
Calculating the effective data rate of the first hop and the effective data rate of the second hop
Multiplexed beamforming transmission device characterized in that. The method of claim 7, wherein
The calculation unit may calculate,
Calculating an effective data rate for the source node through Equation 4
Multiplexed beamforming transmission device characterized in that.
Equation 4:
Figure 112012089078111-pat00019

Where k is the number of source nodes, C S1 , i is the effective data rate for the i th stream of source node 1, C Sk , j is the effective data rate for the j th stream of source node k, w S1 , i Is the beamforming vector of the i-th stream at source node 1, w Sk , j is the beamforming vector of the j-th stream at source node k, H S1R is the channel matrix between source node 1 and the relay, H SkR is the relay between source node k and relay Is the channel matrix, f S1 , i is the beamforming of the i-th stream at source node 1, f Sk , j is the beamforming of the j-th stream at source node k, and P S1, i is the transmission of the i-th stream at source node 1 The power, P Sk , j is the transmit power of the j-th stream at source node k, and N 0 is the noise power.) The method of claim 7, wherein
The calculation unit may calculate,
Calculating the effective data rate for the destination node through Equation 5
Multiplexed beamforming transmission device characterized in that.
Equation 5:
Figure 112012089078111-pat00020

Where k is the number of destination nodes, C D1 , m is the effective data rate for the mth stream of destination node 1, C Dk , n is the effective data rate for the nth stream of destination node k, w D1 , m Is the beamforming vector of the mth stream at destination node 1, w Dk , n is the beamforming vector of the nth stream at destination node k, H RD1 is the channel matrix between the destination node 1 at the relay, and H RDk is the relay and destination node k Channel matrix, f D1 , m is beamforming of m-th stream at destination node 1, f Dk , n is beamforming of n-th stream at destination node k, and P D1 , m is transmission of m-th stream at destination node 1 Power, P Dk , n is the transmit power of the nth stream at the destination node k, N 0 is the noise power.) The method of claim 7, wherein
Wherein,
Determining the number of the transport streams satisfying the condition of Equation 6 and the beamforming vector corresponding to each stream when the source node and the destination node each have k pieces.
Multiplexed beamforming transmission device characterized in that.
Equation 6:
Figure 112012089078111-pat00021

Where Q I is the set of stream indices of source node 1, Q J is the set of stream indices of source node k, Q M is the set of stream indices of destination node 1, Q N is the set of stream indices of destination node k, C S1 , i is the effective data rate for the i th stream of source node 1, C Sk , j is the effective data rate for the j th stream of source node k, C D1 , m is the effective data rate for the m th stream of destination node 1 , C Dk, n means the effective data rate for the nth stream of the destination node k.)
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