CN103401657A - Non-differential distributed space-time coding method for cooperative communication partially-coherent network - Google Patents
Non-differential distributed space-time coding method for cooperative communication partially-coherent network Download PDFInfo
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Abstract
The invention relates to a cyclic unitary matrix group-based non-differential distributed space-time coding method applied to a cooperative communication partially-coherent network and belongs to the field of wireless communication. According to the method, a multi-hop communication system is derived based on a three-hop communication system model, can be mainly used for solving the problem that direct communication between two nodes cannot be realized caused by the fact that the channel status is not particularly excellent or due to communication distance, and can also be applied to adhoc networks. According to the method, a transmission codeword is constructed based on a cyclic diagonal unitary matrix group at a source node, and an optimal generated matrix is obtained by using a diversity sum method; a relay unitary matrix is constructed by using a generalized Hadamard matrix at a relay so as to lower the complexity of decoding calculation; and a decoding formula for partially-coherent distributed space-time codes in a three-hop communication model is finally obtained, and then, how to select the generated matrix to lower the complexity of decoding is obtained according to the formula. The method has the advantage that full diversity for a system can be realized due to the adoption of the cyclic group.
Description
Technical field
The invention belongs to the wireless mobile telecommunication technology field, relate generally to the non-difference profile formula space-time coding method based on circulation unitary matrice group in a kind of collaboration communication partially coherent network, it is not good especially can be used for channel status, perhaps, owing between communication distance two nodes, can not realizing the situation of direct communication, also can be applied to ad hoc network.
Background technology
With respect to wireline communication network, in cordless communication network, the movement of decline, multipath and node all will cause communication environment poor, and these have seriously affected communication quality and transmission rate.Studies have shown that, in wireless channel, adopt the MIMO technology can effectively improve data transmission rate and communication quality.But with regard to present technology, make mobile terminal be subject to the restriction of the aspects such as size own, power, realization, be difficult to many antennas of device on a mobile terminal, this has limited the practical application of MIMO technology to a certain extent.For this problem, (Yindi Jing and Babak Hassibi, Distributed space time coding in wireless relay networks, IEEE Trans Wireless commun., vol. 5, No 12, pp.3524-3536, Dec. 2006.) having proposed a kind of new mode collaboration communication (Cooperative Communication) technology obtains space diversity gain, for MIMO practical provides a new approach.Cooperative communication technology can be widely used in the multiple occasions such as cell mobile communication systems, Wireless Ad hoc network, WLAN (wireless local area network) and wireless sensor network.Adopting many coordination strategies at present is AF and DF.Wherein specifically propose a kind of distributed space time group coding technology, in literary composition, introduced the communication process of this technology.First stage, reflector sends to relaying by information, and the second stage relaying says that information sends to receiving terminal.The signal that relaying sends is to be obtained by the signal that receives and its conjugation linearity.This method is more general than AF, at the relaying place, does not need again as DF, to carry out decoding, and the relaying place does not need to know channel information, has saved time and power.The more important thing is, when high s/n ratio, can realize full diversity.Although distributed space-time code does not need to know channel information at the relaying place, at receiving terminal, need know that transmitting terminal is to relaying and all channel informations of being relayed to receiving terminal.So training sequence will send to relaying and transmitting terminal, sometimes because the cost on channel conditions more complicated or temporal power makes training sequence to realize.And that training sequence becomes when decline changes fast is very unactual.So (Y. Jing and H. Jafarkhani, Distributed Differential Space-Time Coding for Wireless Relay Networks, IEEE Trans. On Commun., vol. 56, No. 7, July 2008.) a kind of differential transmission scheme of wireless relay network has been proposed, this scheme does not need to know any channel information at relaying place and receiving terminal.The copy that can regard the sky time-code due to distributed space-time code as, so the copy that this distributed difference empty time-code is exactly the difference empty time-code.In literary composition, the author show that differential scheme is than relevant distributed space-time code poor 3dB on performance.
Above-mentioned technology all is based on receiving terminal and all knows that channel information or receiving terminal do not need to know any channel information.(T. Kiran and B. Sundar Rajan, Partially coherent distributed space time codes with differential encoder and decoder, IEEE JSAC., vol 25, no.2, pp. 426-433, Feb 2007.) a kind of partially coherent distributed space-time code proposed, destination node is not known the channel information of source node to relaying, but knows the channel information that is relayed to destination node.In literary composition, also proposed a kind of based on the circulation division algebra and can realize the differential coding and decoding scheme of full diversity.At the relaying place, adopt broad sense PSK code word to make the size of decoding complexity and code word irrelevant, and can realize full diversity.The Inspiration Sources of the method is in (Bertrand M. Hochwald and Wim Sweldens, " Differential Unitary Space-Time Modulation; " IEEE trans on communication., vol 48, no.12, pp.2041-2052, Dec 2000.), in literary composition, introduced a class difference diagonal signals at the tenth of the twelve Earthly Branches, this class diagonal signals has guaranteed to only have an antenna job at any one given time slot, and can realize diversity and reduce decoding complexity by the application transport antenna.As can be known according to document, unitary blank time code
[12] [13]Be similar in form Space-Time Block Coding, that Hochwald and Marzetta derive out according to the channel capacity of rayleigh fading channel in information theory, it requires to send the code matrix is unitary matrice, and receiving terminal can carry out decoding in the situation that do not need to carry out channel estimating.But how the reasonable unitary blank time code of simple and effective structural behavior is a difficult point, and the unitary blank time code decoding complexity takes advantage of exponentially, therefore in actual environment, is difficult to application.Hochwald further promotes unitary blank time code, while having proposed a kind of differential west space, encodes, and is applied to continuous fading channel.Afterwards, Hughes is generalized to multi-antenna channel by the thought of unitary group code, provided Differential space-time modulation technology (the B. Hughes. Differential space-time modulation. IEEE Trans. on Ioform. Theory based on group code, 2000,46 (7): 2567-2578).Adopting the great advantage of differential space-time coding is that coding and decoding does not need channel condition information, but compares with non-differential coding the performance loss that 3dB is arranged, and this is also the cost without channel estimating.so, (Harshan J. and B. Sundar Rajan. A Non-differential Distributed Space-Time Coding for Partially-Coherent Cooperative Communication. IEEE Trans. on Wireless Commun, Vol. 7, No. 11, Nov. 2008) the empty time-code of a kind of non-difference profile formula with respect to differential coding has been proposed, the difficult point that has proposed structure partially coherent network design in literary composition is exactly the also column matrix full rank of getting two different matrixes from appointing the unitary matrice group of design, and drawn while only having the application cycle group and could realize full diversity, this makes the non-difference unitary matrice of any structure or a problem.
In the communication environment of reality, sometimes between two nodes, do not possess the condition of direct communication, communicating by letter of source node and destination node must rely on the forwarding repeatedly of a plurality of via nodes to realize, the multi-hop cooperation in Here it is collaboration communication.And the Ad hoc network that we know is a kind of multi-hop, acentric, ad hoc deployed wireless networks, and whole network does not have fixing infrastructure, and each node is mobile, and can dynamically keep in any way and the contacting of other node.
Summary of the invention
The present invention is directed to above-mentioned the deficiencies in the prior art, proposed the non-difference profile formula space-time coding method based on circulation unitary matrice group in a kind of collaboration communication partially coherent network, comprise the following steps:
(1) first stage, source node S is with transmitting power
Transmit signals to via node
, wherein the code word matrix of source node S consists of circulation unitary matrice group, via node
Carry out to the received signal linear process at the tenth of the twelve Earthly Branches, and the model that receives is carried out to power normalization, be used for guaranteeing that the signal from via node sends can meet the Power Limitation condition;
(2) second stage is the space time collaboration stage, via node
The signal message that will receive respectively sends to via node after linear process
(3) phase III, via node
The signal message that receives is sent through linear transformation at the tenth of the twelve Earthly Branches again, use
Represent this group via node
The unitary transformation matrix at individual via node place, and, carry out to the received signal the normalization of power, be used for guaranteeing that the signal from via node sends can meet the Power Limitation condition, the signal message after processing is sent to destination node
(4) fourth stage, destination node
The signal message that receives is carried out to condition maximum likelihood decoding under the partially coherent network state, and decode results is carried out to demodulation.
Further, the code word matrix that consists of circulation unitary matrice group in the described source node S of step (1), namely meet Finite Abel ian group,
Be
The set of individual different unitary matrice, that is:
, and
, meeting this group is cyclic group, and each element of trooping in closing is diagonal unitary, and source node is according to formula
Build the source node signal matrix,
For column vector, can be expressed as
, sending metrix can be expressed as
.
Further, the parameter matrix in described sending metrix code word
Can according to diversity and selection criterion select.
Further, the channel model described in step (1) is one easy three and jumps the collaboration communication model, comprises
Individual node, one of them source node, a destination node,
Individual via node, assist source node communication.Wherein
Be the number of the first jumping via node,
Be the number of the second jumping via node, in this model, source node lacks tie link between destination node.
Further, the linear process matrix at the tenth of the twelve Earthly Branches described in step (1) and step (2) is based on broad sense Butson-Hadamard matrix and builds this junction matrix and can realize full diversity, matrix
It is one
Broad sense Butson-Hadamard matrix, utilize matrix
Build diagonal unitary
, make
, wherein each diagonal element
It is matrix
In
Row
The element of row.
Further, the destination node described in step (4)
The signal message that receives is carried out to condition maximum likelihood decoding under the partially coherent network state, the signal that destination node will receive is delivered in demodulator and is carried out demodulation, namely according to constellation set, signal is carried out to inverse mapping, and demodulation result is merged into and receives information.
Advantage of the present invention comprises:
1) adopt cyclic group can realize full diversity;
2) adopt the diagonal unitary coding can under the high s/n ratio condition, obtain good performance;
3) adopt non-differential coding to improve 3dB than differential coding performance;
4) the collaboration communication model is jumped in research three has deep meaning for the further investigation multihop system;
5) in the invention, according to diversity and criterion, carry out the performance that choosing of optimal constellation is conducive to system.
The accompanying drawing explanation
Fig. 1 is the system model figure of simple and easy three jumping communication networks;
Fig. 2 is signal transmission block diagram of the present invention;
Fig. 3 is the performance simulation comparison diagram of two kinds of system models in identical modulation 16QAM and identical unitary matrice parameter matrix situation;
Fig. 4 is under identical modulation 16QAM, the performance simulation comparison diagram that different unitary matrice parameter matrixs are chosen.
Fig. 5 is under identical modulation 16QAM and in identical unitary matrice parameter matrix situation, and non-difference three is jumped the performance simulation comparison diagram of communication system and difference three jumping communication systems.
Embodiment
The invention will be further described below in conjunction with accompanying drawing.
As Figure 1-5, the non-difference profile formula of collaboration communication partially coherent of the present invention space-time coding method, comprise the steps:
Whole communication process can be divided into three phases.At first stage, source node is with transmitting power
Transmit signals to via node
.
The signal indication that individual via node place receives is as follows:
Wherein,
Be one in the Power Limitation condition
Under
The transmission data vector of dimension, wherein
,
Represent the Frobenius norm, without loss of generality, the channel of suppose relay node has symmetry, namely for
,
Represent source node and
Channel gain between individual via node.
Second stage, via node
The signal message that will receive respectively sends to via node after linear process
.In this paper, so via node does not need information to the received signal to carry out decode operation, just it carried out to power amplification or replace to the received signal or the simple linear operation such as linear transformation at the tenth of the twelve Earthly Branches, we adopt linear transformation at the tenth of the twelve Earthly Branches to it herein.With
Expression the
The unitary transformation matrix at individual via node place.And we need to carry out the normalization of power to the received signal, are used for guaranteeing that the signal from via node sends can meet the Power Limitation condition.This is carried out to normalized and just can guarantee that the average transmit power of each symbol is later
.The later signal of linear process at the tenth of the twelve Earthly Branches is
, wherein
For each relaying average transmit power, the signal message after processing is sent to
.
,
For via node
The noise vector at place, and
For the additive white Gaussian noise of this Nodes, it has comprised from via node
The noise that place forwards and the noise of this Nodes itself.So we finally are chosen as linear transformation at the tenth of the twelve Earthly Branches to the linear transformation of relaying Nodes is in order to guarantee noise
Between property independent of one another.Code word matrix in formula
, at this, embodied the effect of distributed space-time code.The somewhat similar multiple-antenna MIMO system of delivery form in this stage.
Phase III, via node
The signal message that receives is sent through linear transformation at the tenth of the twelve Earthly Branches again, use
Represent this group via node
The unitary transformation matrix at individual via node place.And we also need to carry out to the received signal the normalization of power at this, are used for guaranteeing that the signal from via node sends can meet the Power Limitation condition.Signal after linear transformation at the tenth of the twelve Earthly Branches can be expressed as
, wherein
Organize for this reason each relaying in via node average transmit power, the signal message after processing is sent to destination node
.
(3)
Equivalence conversion according to matrix, can change into following formula
,
Junction matrix in above-mentioned (3) formula
,
For unitary matrice, and random vector
,
With
All Gaussian distributed, and separate.Suppose that the first via node number is the same with the second relay point number, namely
.
So it is as follows to obtain the covariance matrix of relevant additive noise:
Because this paper is based on the partially coherent network, so the hypothesis goal node is only known
With
But do not know
Relevant information.We can draw thus:
Order
, (5) formula, (7) formula substitution (6) formula can be expressed as the covariance matrix that receives signal:
······················································ (8)
Finally, can obtain the conditional probability density function under the partially coherent network, be expressed as follows:
At receiving terminal, with maximum likelihood, carry out decoding, can show that the decoding of partially coherent distributed space-time code can be expressed as
According to matrix inversion lemma, if matrix
, be nonsingular matrix, matrix
, matrix
Have inverse matrix:
.And equivalent formula
, can obtain
Formula (10) abbreviation is
Wherein introduce the distributed space-time code based on circulation unitary matrice group
At the source node place, adopt circulation unitary matrice group to build the transmission code word matrix, this element in trooping and closing meets closure, associativity in matrix multiplication operation, and has identity element, and any element in matrix all has inverse element.Element in this set also meets law of communication on this basis, and namely code word matrix is Finite Abel ian group.
Building one has
The simplest method of commutative group of individual element builds cyclic group exactly, namely
.
(13)
In group, arbitrary element can be expressed as:
(14)
Source node will
The information of bit is mapped to
Certain matrix in set.Can application of formula when without loss of generality, we build circular matrix
Herein
, so
.Because system only has a source node, so establish
For column vector, can be expressed as
.
Sending metrix can be expressed as
In order to obtain better systematic function, we need to obtain best parameter
, obtaining optimal constellation, the constellation parameter group is designated as vector
.
(17)
In formula,
, in order to make
With singular value
Be associated, first define one
Be designated as the average of these singular values square, namely
, like this,
.For given fixedly mean value
, error probability equates in singular value, while namely unanimously distributing, reaches minimum.Therefore, when producing parameter, if two groups have identical
, should select to have how conforming that group parameter.
Source node will
Signal message send to each via node, to it, carry out after linear process, sending to the tenth of the twelve Earthly Branches the second via node after the first via node acknowledge(ment) signal information.
With broad sense Butson-Hadamard matrix, build this junction matrix and can realize full diversity.For broad sense Butson-Hadamard matrix, must meet
, wherein
Be
Matrix, its element meets
.
Establish herein
It is one
Broad sense Butson-Hadamard matrix, we utilize matrix
Build diagonal unitary
, make
, wherein each diagonal element
It is matrix
In
Row
The element of row.
The first via node will
Vector
Send to the second via node, namely above said in formula (2)
, be designated as here
We are also with identical method design the second intermediate matrix simultaneously
, order is established herein
It is one
Broad sense Butson-Hadamard matrix, we utilize matrix
Build diagonal unitary
, make
, wherein each diagonal element
It is matrix
In
Row
The element of row., the second via node will
Send to destination node, namely obtain in literary composition in (4) formula
,
Claims (6)
1. the non-difference profile formula space-time coding method based on circulation unitary matrice group in a collaboration communication partially coherent network comprises the following steps:
(1) first stage, source node S is with transmitting power
Transmit signals to via node
, wherein the code word matrix of source node S consists of circulation unitary matrice group, via node
Carry out to the received signal linear process at the tenth of the twelve Earthly Branches, and the model that receives is carried out to power normalization, be used for guaranteeing that the signal from via node sends can meet the Power Limitation condition;
(2) second stage is the space time collaboration stage, via node
The signal message that will receive respectively sends to via node after linear process
(3) phase III, via node
The signal message that receives is sent through linear transformation at the tenth of the twelve Earthly Branches again, use
Represent this group via node
The unitary transformation matrix at individual via node place, and, carry out to the received signal the normalization of power, be used for guaranteeing that the signal from via node sends can meet the Power Limitation condition, the signal message after processing is sent to destination node
(4) fourth stage, destination node
The signal message that receives is carried out to condition maximum likelihood decoding under the partially coherent network state, and decode results is carried out to demodulation.
2. the non-difference profile formula space-time coding method based on circulation unitary matrice group in collaboration communication partially coherent network as claimed in claim 1, it is characterized in that: the code word matrix that is formed by circulation unitary matrice group in the described source node S of step (1), namely meet Finite Abel ian group
Be
The set of individual different unitary matrice, that is:
, and
, meeting this group is cyclic group, and each element of trooping in closing is diagonal unitary, and source node is according to formula
Build the source node signal matrix,
For column vector, can be expressed as
, sending metrix can be expressed as
.
3. the non-difference profile formula space-time coding method based on circulation unitary matrice group in collaboration communication partially coherent network as claimed in claim 2, is characterized in that: the parameter matrix in described sending metrix code word
Can according to diversity and selection criterion select.
4. the non-difference profile formula space-time coding method based on circulation unitary matrice group in collaboration communication partially coherent network as claimed in claim 1 is characterized in that: the channel model described in step (1) is one easy three and jumps the collaboration communication models, comprises
Individual node, one of them source node, a destination node,
Individual via node, assist source node communication;
5. the non-difference profile formula space-time coding method based on circulation unitary matrice group in collaboration communication partially coherent network as claimed in claim 1, it is characterized in that: the linear process matrix at the tenth of the twelve Earthly Branches described in step (1) and step (2) is based on broad sense Butson-Hadamard matrix and builds this junction matrix and can realize full diversity, matrix
It is one
Broad sense Butson-Hadamard matrix, utilize matrix
Build diagonal unitary
, make
, wherein each diagonal element
It is matrix
In
Row
The element of row.
6. the non-difference profile formula space-time coding method based on circulation unitary matrice group in collaboration communication partially coherent network as claimed in claim 1, is characterized in that: the destination node described in step (4)
The signal message that receives is carried out to condition maximum likelihood decoding under the partially coherent network state, the signal that destination node will receive is delivered in demodulator and is carried out demodulation, namely according to constellation set, signal is carried out to inverse mapping, and demodulation result is merged into and receives information.
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CN106454752A (en) * | 2015-08-06 | 2017-02-22 | 北京信威通信技术股份有限公司 | Broadcast information transmission method in 3GPP V2X communication |
CN106686724A (en) * | 2015-11-05 | 2017-05-17 | 北京信威通信技术股份有限公司 | Cooperative diversity application method in 3GPP V2X |
CN109493274A (en) * | 2018-10-18 | 2019-03-19 | 华南农业大学 | A kind of scalloping processing method based on coordinate conversion |
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Cited By (6)
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CN103916219A (en) * | 2014-04-14 | 2014-07-09 | 山东大学 | Estimate-and-forward relay transmission method based on unitary space-time modulation |
CN106454752A (en) * | 2015-08-06 | 2017-02-22 | 北京信威通信技术股份有限公司 | Broadcast information transmission method in 3GPP V2X communication |
CN106686724A (en) * | 2015-11-05 | 2017-05-17 | 北京信威通信技术股份有限公司 | Cooperative diversity application method in 3GPP V2X |
CN106686724B (en) * | 2015-11-05 | 2020-04-24 | 北京信威通信技术股份有限公司 | Cooperative diversity application method in 3GPP V2X |
CN109493274A (en) * | 2018-10-18 | 2019-03-19 | 华南农业大学 | A kind of scalloping processing method based on coordinate conversion |
CN109493274B (en) * | 2018-10-18 | 2020-12-11 | 华南农业大学 | Image distortion processing method based on coordinate transformation |
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