CN106230490B - A kind of orderly phase rotation Precoding Design method - Google Patents
A kind of orderly phase rotation Precoding Design method Download PDFInfo
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- CN106230490B CN106230490B CN201610623749.0A CN201610623749A CN106230490B CN 106230490 B CN106230490 B CN 106230490B CN 201610623749 A CN201610623749 A CN 201610623749A CN 106230490 B CN106230490 B CN 106230490B
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- H04—ELECTRIC COMMUNICATION TECHNIQUE
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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
- H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
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Abstract
The present invention relates to a kind of orderly phase rotation Precoding Design methods, consider influence of the channel gain to Euclidean distance between the constellation point of space, this method carries out the Precoding Design based on phase rotation using the phase information of each channel, postrotational phase is arranged according to antenna serial number sequence different from conventional phase rotation precoding, the postrotational phase of the present invention is adjusted according to channel gain sequencing information, to maximize the Euclidean distance between space constellation point similar in amplitude as the design of principle progress space planisphere.The invention reduces the average error symbol probability of system with lower design complexities, has achieved the purpose that further lifting system performance.
Description
Technical field
The present invention relates to a kind of orderly phase rotation Precoding Design methods, more particularly to a kind of sky that is used for move keying modulation
Orderly phase rotation Precoding Design method in multi-aerial transmission system, belongs to art communication systems field
Background technique
Sky moves keying (Space Shift Keying, SSK) modulation and transmits information by selection antenna activation, is a kind of
Novel multiple antennas modulation technique.Because it only activates a transmission antenna in each working time slot, it only needs a transmission radio frequency
Link can meet communication requirement, can efficiently solve common-channel interference in traditional multi-antenna transmission, originator day line locking etc.
Problem, and the complexity of receiver detection algorithm can be effectively reduced.
In based on the empty multi-aerial transmission system for moving keying modulation, system is averaged error symbol probability performance by space constellation
Euclidean distance determines between point (wireless channel), and the Euclidean distance increased between the constellation point of space can be effectively reduced system
Average error symbol probability.In existing research, the Euclidean distance between the constellation point of space can be increased there are two methods: first,
Using the method for power distribution come the amplitude of adjustment space constellation point；The relevant technologies are referring to document [1] and document [2], document
[1]: M.Di Renzo, H.Haas " Improving the performance of space shift keying (SSK)
modulationvia opportunistic power allocation,”IEEE Commun.Lett.,vol.14,no.6,
Pp.500-502,2010. document [2]: M.Maleki, H.-R.Bahrami, S.Beygi, M.Kafashan, and
N.H.Tran,“Space modulation with CSI:Constellation design and
performanceevaluation,”IEEE Trans.Veh.Technol.,vol.62,no.4,pp.1623-1634,
2013.).Second, using phase rotation precoding come the phase of adjustment space constellation point；The relevant technologies are referring to document [2] and text
It offers [3], document [3]: K.Ntontin, M.Di Renzo, A.Perez-Neira, and C.Verikoukis,
“Adaptivegeneralized space shift keying(GSSK)modulation for MISO channels:
Anew method for high diversity and coding gains,”in Proc.IEEE VTC fall,
Yokohama,Japan,2012,pp.1-5.Wherein, it is only needed using phase rotation precoding come the phase of adjustment space constellation point
Corresponding phase rotation device is configured at transmission antenna end, space star is made according to the real-time adjustment phase place rotation angle of channel phase information
The phase of seat figure each point is assigned between [0,2 π], without configuring additional power amplifier, because its design complexities is low and property
It can improve and obviously receive significant attention.But existing phase rotation Precoding Design method is only focused in phase difference to space constellation
The influence of Euclidean distance, ignores influence of the amplitude difference to Euclidean distance between the constellation point of space between point.
Summary of the invention
In view of the deficiencies of the prior art, it is moved in keying modulation multi-aerial transmission system the present invention provides a kind of for sky
Orderly phase rotation Precoding Design method；
The present invention is directed to based on the empty multi-aerial transmission system for moving keying modulation, makes full use of channel phase information and channel
Gain sequencing information is to maximize the Euclidean distance between space constellation point similar in amplitude using channel gain sequencing information
Principle carries out the design of space planisphere, and the present invention effectively reduces the average error sign ratio of system with lower complexity, into
One step improves the performance of system.
The present invention summarizes:
The present invention considers that the system is by N based on the empty multi-aerial transmission system for moving keying modulationtRoot transmitting antenna, NrPiece-root grafting
Receive antenna composition, Nt=2n, the n integer information bit data flow that is positive is grouped first, and every n-bit information is divided into one group, warp
After crossing empty shifting keying modulation, it is mapped on corresponding transmission antenna, by accordingly believing after carrying out orderly phase rotation precoding
Road is sent, and receiving end determines that the demodulation of transmission antenna serial number obtains information bit by detecting the impulse response of channel.
The present invention designs rotation pre-coder using channel gain sequencing information and channel phase informationBy the phase adjustment of the constellation point of amplitude sequences different in the planisphere of space to [0,2 π]
Phase is fixed to divide equally position, achievees the purpose that the average error sign ratio performance of lifting system.
The technical solution of the present invention is as follows:
A kind of orderly phase rotation Precoding Design method in empty shifting keying modulation multi-aerial transmission system；It is described
Multi-aerial transmission system includes NtRoot transmitting antenna, NrRoot receiving antenna, Nt=2n, n is that positive integer specific steps include:
(1) to NrRoot receiving antenna is numbered, number consecutively 1,2 ..., l ..., Nr, to NtRoot transmitting antenna carries out
Number, number consecutively 1,2 ..., i ..., Nt, receiving antenna and N that number is ltThe channel vector of root transmitting antenna is denoted ashL, iFor the channel fading system for numbering the receiving antenna that the transmitting antenna for being i is l to number
Number, by hL, iIt is expressed as the form of channel gain and channel phase, i.e., Refer to phase, specifically compiles
Channel phase information between the receiving antenna that number transmitting antenna for being i is l to number；
(2) to hlBy channel gain information, that is, channel hL, iModulus value | | hL, i| | descending descending arrangement, number according to
Secondary is 1,2 ..., i ..., Nt, obtain any hL, iGain sort i⊥；
(3) according to hlIn any hL, iGain sequence, calculate gain sequencing numbers be i the corresponding phase of transmitting antenna
Position rotation precoding ωL, i, as shown in formula (I):
In formula (I),It is fixed phase, order (i⊥) be space planisphere phase sequence vector order i-th⊥
The value of a element；
According to hl, the corresponding phase rotation pre-coding matrix of all transmitting antennas is expressed as diagonal matrix wl,
It (4) is 1,2 for number ..., l ..., NrNrRoot receiving antenna is repeated step (2) and (3), is obtained all standby
Phase rotation pre-coding matrix set is selected, has N in alternative phase rotation pre-coding matrix setrA precoder；Due to every
One receiving antenna and NtRoot transmitting antenna can constitute a multi-antenna transmission single antenna reception system, can be such
System designs a precoder, a total of N in receiving endrRoot receiving antenna, so alternative phase rotation pre-coding matrix set
In have NrA precoder.
(5) using the performance upper bound of the average error symbol probability of minimum as criterion, in all NrIt is selected most in a precoder
Excellent precoder w is as the precoder finally designed, as shown in formula (II):
In formula (II),It is channel matrix,For the property of average error symbol probability
The energy upper bound,Expression formula such as formula (III) shown in:
In formula (III), Q is Gauss Q function, eiAnd ekRespectively i-th and k-th of base vector, σ are the standard of Gaussian noise
Difference.
Preferred according to the present invention, the phase sequence vector order of space planisphere is 1 to NtOne group of number of permutations constitute
Vector, specific generation step are as follows:
A, n=log is calculated2(Nt) determine the frequency n for needing to carry out variable update；
B, order=[1] is initialized, initializes more new variables m=1；
If c, m > n illustrates that the calculating of phase sequence vector is completed, otherwise, step d is carried out；
D, one 1 × 2 is generatedm-1All 1's matrix, be denoted asIf intermediate variable matrixUsing intermediate variable matrix update order, update operation be order=reshape (X, 1,
2m), reshape (X, 1,2m) indicate matrix x being rearranged for one 1 × 2 according to column sequencemMatrix, while m is added 1,
Return step c.
The beneficial effects of the present invention are:
Compared with the existing empty phase rotation Precoding Design moved in keyed system, the present invention has fully considered channel gain
Influence to Euclidean distance between the constellation point of space, this method are carried out using the phase information of each channel based on the pre- of phase rotation
Code Design arranges postrotational phase, present invention rotation according to antenna serial number sequence different from conventional phase rotation precoding
Phase after turning is adjusted according to channel gain sequencing information, to maximize the Europe between space constellation point similar in amplitude
Family name's distance is the design that principle carries out space planisphere.The invention reduces the average error symbol of system with lower design complexities
Number probability, has achieved the purpose that further lifting system performance.
Detailed description of the invention
Fig. 1 is the system model figure based on the empty multi-aerial transmission system for moving keying modulation in the present invention；
Fig. 2 is the flow chart of orderly phase rotation pre-coder design method in the present invention.
Fig. 3 is the flow chart that the phase sequence vector order of space planisphere is generated in the present invention.
Fig. 4 is N in the present inventionr=1 andAfter the orderly phase rotation precoding of Shi Caiyong
Space planisphere illustrate schematic diagram.
Specific embodiment
The present invention is further qualified with embodiment with reference to the accompanying drawings of the specification, but not limited to this.
Embodiment
A kind of orderly phase rotation Precoding Design method in empty shifting keying modulation multi-aerial transmission system, such as schemes
Shown in 2, the multi-aerial transmission system includes Nt=16 transmitting antennas, Nr=2 receiving antennas, multi-aerial transmission system
System model figure is as shown in Figure 1, specific steps include:
(1) 2 receiving antennas are numbered, 16 transmitting antennas are numbered in number 1,2, and number consecutively is
1,2 ..., i ..., 16, the channel vector of receiving antenna and 16 transmitting antennas that number is l is denoted ashL, iFor the channel fading system for numbering the receiving antenna that the transmitting antenna for being i is 1 to number
Number, by hL, iIt is expressed as the form of channel gain and channel phase, i.e., Refer to phase, specifically compiles
The channel phase information for the receiving antenna that number transmitting antenna for being i is 1 to number；
(2) to hlBy channel gain information, that is, channel hL, iModulus value | | hL, i| | descending descending arrangement, number according to
Secondary is 1,2 ..., i ..., Nt, obtain any hL, iGain sort i⊥；
(3) according to hlIn any hL, iGain sequence, calculate gain sequencing numbers be i the corresponding phase of transmitting antenna
Position rotation precoding ωL, i, as shown in formula (I):
In formula (I),It is fixed phase, order (i⊥) be space planisphere phase sequence vector order i-th⊥
The value of a element；
According to hl, the corresponding phase rotation pre-coding matrix of all transmitting antennas is expressed as diagonal matrix wl,
It (4) is 1,2 for number ..., l ..., NrNrRoot receiving antenna is repeated step (2) and (3), is obtained all standby
Phase rotation pre-coding matrix set is selected, has N in alternative phase rotation pre-coding matrix setrA precoder；Due to every
One receiving antenna and NtRoot transmitting antenna can constitute a multi-antenna transmission single antenna reception system, can be such
System designs a precoder, a total of N in receiving endrRoot receiving antenna, so alternative phase rotation pre-coding matrix set
In have NrA precoder.
(5) using the performance upper bound of the average error symbol probability of minimum as criterion, in all NrIt is selected most in a precoder
Excellent precoder w is as the precoder finally designed, as shown in formula (II):
In formula (II),It is channel matrix,For the property of average error symbol probability
The energy upper bound,Expression formula such as formula (III) shown in:
In formula (III), Q is Gauss Q function, eiAnd ekRespectively i-th and k-th of base vector, σ are the standard of Gaussian noise
Difference.
The phase sequence vector order of space planisphere is the vector of 1 to 16 one group of number of permutations composition, specific to generate step
Suddenly are as follows:
By Nt=16 according to calculate n=4 need to carry out four updates operation, firstly, order=[1], m=1, order
=[1], m=1 carry out the calculating of intermediate variableThe orde=[1 2] updated；Then, m=2 carries out second
The calculating of secondary intermediate variableObtain the order=[1 32 4] of second of update；Then m=3 carries out third time
The calculating of intermediate variableOrder=[1 537264 8] last m=4 that third time updates is obtained, into
The calculating of the 4th intermediate variable of rowObtain the order=[1 95 13 of the 4th update
3 11 7 15 2 10 6 14 4 12 8 16] has carried out four updates at this time, illustrates that calculating finishes, i.e., and [1 95 13
It 3 11 7 15 2 10 6 14 4 12 8 16] is antenna number Nt=16 phase sequence vector.Space is generated in the present embodiment
The process of the phase sequence vector order of planisphere is as shown in figure 3, using the sky after orderly phase precoding in the present embodiment
Between planisphere illustrate that schematic diagram is as shown in Figure 4.
Claims (2)
1. it is a kind of for the empty orderly phase rotation Precoding Design method moved in keying modulation multi-aerial transmission system, it is described more
Aerial transmission system includes NtRoot transmitting antenna, NrRoot receiving antenna, Nt=2n, n is positive integer, which is characterized in that specific steps
Include:
(1) to NrRoot receiving antenna is numbered, number consecutively 1,2 ..., l ..., Nr, to NtRoot transmitting antenna is numbered,
Number consecutively is 1,2 ..., i ..., Nt, receiving antenna and N that number is ltThe channel vector of root transmitting antenna is denoted ashL, iFor the channel fading system for numbering the receiving antenna that the transmitting antenna for being i is l to number
Number, by hL, iIt is expressed as the form of channel gain and channel phase, i.e., Refer to phase, specifically compiles
Channel phase information between the receiving antenna that number transmitting antenna for being i is l to number；
(2) to hlBy channel gain information, that is, channel hL, iModulus value | | hL, i| | descending descending arrangement, number are followed successively by 1,
2 ..., i ..., Nt, obtain any hL, iGain sort i⊥；
(3) according to hlIn any hL, iGain sequence, calculate gain sequencing numbers be i the corresponding phase rotation of transmitting antenna
Precoding ωL, i, as shown in formula (I):
In formula (I),It is fixed phase, order (i⊥) be space planisphere phase sequence vector order i-th⊥A member
The value of element；
According to hl, the corresponding phase rotation pre-coding matrix of all transmitting antennas is expressed as diagonal matrix Wl,
It (4) is 1,2 for number ..., l ..., NrNrRoot receiving antenna repeats step (2) and (3), obtains all alternative phases
Position rotates pre-coding matrix set, has N in alternative phase rotation pre-coding matrix setrA precoder；
(5) using the performance upper bound of the average error symbol probability of minimum as criterion, in all NrIt is selected in a precoder optimal pre-
Encoder W is as the precoder finally designed, as shown in formula (II):
In formula (II),It is channel matrix,In performance for average error symbol probability
Boundary,Expression formula such as formula (III) shown in:
In formula (III), Q is Gauss Q function, eiAnd ekRespectively i-th and k-th of base vector, σ are the standard deviation of Gaussian noise.
2. according to claim 1 a kind of pre- for the empty orderly phase rotation moved in keying modulation multi-aerial transmission system
Code Design method, which is characterized in that the phase sequence vector order of space planisphere is 1 to NtOne group of number of permutations constitute
Vector, specific generation step are as follows:
A, n=log is calculated2(Nt), determine the frequency n for needing to carry out variable update；
B, initialization order=[1] initializes more new variables m=1；
If c, m > n, illustrates that the calculating of phase sequence vector is completed, otherwise, carry out step d；
D, one 1 × 2 is generatedm-1All 1's matrix, be denoted asIf intermediate variable matrix
Using intermediate variable matrix update oeder, update operation be order=reshape (X, 1,2m), reshape (X, 1,2m) indicate
Matrix X is rearranged for the matrix of a 1 × 2m according to column sequence, while m is added 1, return step c.
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| CN112803977B (en) * | 2021-01-07 | 2021-12-10 | 电子科技大学 | Hybrid precoding method of millimeter wave communication system under beam offset effect |
| CN113242112B (en) * | 2021-05-12 | 2022-04-08 | 天津大学 | Constellation diagram optimization method of 6-QAM and LDPC code combination scheme |
| CN113364504B (en) * | 2021-07-27 | 2022-11-04 | 华北电力大学（保定） | Precoding method suitable for high-correlation MIMO channel |
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