CN104378150B - The power distribution method of error sign ratio is minimized in a kind of MIMO Signal with Distributed Transmit Antennas - Google Patents

The power distribution method of error sign ratio is minimized in a kind of MIMO Signal with Distributed Transmit Antennas Download PDF

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CN104378150B
CN104378150B CN201410593990.4A CN201410593990A CN104378150B CN 104378150 B CN104378150 B CN 104378150B CN 201410593990 A CN201410593990 A CN 201410593990A CN 104378150 B CN104378150 B CN 104378150B
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CN104378150A (en
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高向川
张建康
王树坤
王忠勇
靳进
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Zhengzhou University
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/06Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0602Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using antenna switching
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W52/00Power management, e.g. TPC [Transmission Power Control], power saving or power classes
    • H04W52/04TPC
    • H04W52/18TPC being performed according to specific parameters
    • H04W52/24TPC being performed according to specific parameters using SIR [Signal to Interference Ratio] or other wireless path parameters
    • H04W52/241TPC being performed according to specific parameters using SIR [Signal to Interference Ratio] or other wireless path parameters taking into account channel quality metrics, e.g. SIR, SNR, CIR, Eb/lo
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W72/00Local resource management
    • H04W72/04Wireless resource allocation
    • H04W72/044Wireless resource allocation based on the type of the allocated resource
    • H04W72/0473Wireless resource allocation based on the type of the allocated resource the resource being transmission power

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  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Quality & Reliability (AREA)
  • Mobile Radio Communication Systems (AREA)
  • Radio Transmission System (AREA)

Abstract

The present invention relates to the power distribution method that error sign ratio is minimized in a kind of MIMO Signal with Distributed Transmit Antennas, the asymptotic SER performances per sub-channels high s/n ratio section are analyzed first, then channel statistical information optimized power distribution of each spaced antenna port based on all of the port.Pass through the instantaneous received signal to noise ratio of base station ZF receivers, use the SER functions of q qam modes, the SER major events for it is expected to extract high s/n ratio section are asked to its multipath fading stochastic variable first based on Multivariable Statistical Methods, then the stochastic variable that declined to large scale in major event and Q functions seek the SER Asymptotic Expressions for it is expected to obtain high s/n ratio section, the average SER Optimality Criterias of minimum and all of the port channel statistical information are finally based on, optimizes through excess convexity and calculates acquisition optimized power distribution coefficient.The present invention obtains optimal power partition coefficient merely with the statistic channel information of channel, systematic function can be obviously improved with relatively low overhead, so as to improve the feasibility of the method in actual applications.

Description

The power distribution method of error sign ratio is minimized in a kind of MIMO Signal with Distributed Transmit Antennas
Technical field
The present invention relates to the antenna power distribution method of communication technical field, specifically distributed multi-antenna The power of error sign ratio is minimized in (Distribute Multiple Input Multiple Output, D-MIMO) system Distribution method.
Background technology
Because there is MIMO Signal with Distributed Transmit Antennas open structure and more flexible resource distribution feature, D-MIMO systems to exist Important role is play in mobile communication.In recent years, the message transmission rate of communication system requirements high speed so that in D-MIMO The many research work of the development of system regions.The characteristics of MIMO Signal with Distributed Transmit Antennas is the prevention at radio-frequency port for configuring more antennas, point For cloth in a cell in each different region, it is (such as cloudy that each port undergoes different path loss and large scale decline Shadow decline) influence, this to Theoretical Analysis of The Performance and optimization power bring certain difficulty.
In conventional art, if each port can obtain the complete channel information of all of the port, joint precoding skill is used Art can increase substantially systematic function, but can greatly increase the overhead of feedback link, particularly when antenna number increase to During extensive mimo system, white elephant can be brought to feedback link;And the space-time of any channel information is not utilized to compile completely Code technology and constant power allocative decision are then difficult to effectively improve systematic function.
The content of the invention
(1) to solve the problems, such as
The technical problem to be solved in the present invention is minimizing the work(of error sign ratio in a kind of MIMO Signal with Distributed Transmit Antennas is provided Rate distribution method, different distributed ports carry out antenna power distribution in the cell covered to same base station, existing to solve The problem of with the presence of technology.
(2) technical scheme
In order to solve the above technical problems, the present invention uses following technical scheme:
The power distribution method of error sign ratio is minimized in a kind of MIMO Signal with Distributed Transmit Antennas, is comprised the following steps:
S1:Base station end obtains the compound channel information of all spaced antenna ports, including small yardstick by channel estimation Decline, launch correlation matrix, large scale decline;
S2:Each spaced antenna port obtains the channel statistical information of all of the port by base station feedback link, including Multipath fading probability density distribution, correlation matrix, large scale fading probability Density Distribution and path loss coefficient;
S3:According to instantaneous received signal to noise ratio of the base station ZF receivers per sub-channels, the SER of q-QAM modulation systems is obtained Function expression, expectation is asked its multipath fading stochastic variable to extract high s/n ratio section first based on multivariate statistics theory SER major events;
S4:The asymptotic tables of SER for it is expected to obtain high s/n ratio section are asked to large scale decline stochastic variable and Q functions in major event Up to formula;
S5:Based on the single order and second-order channel statistics information for minimizing average SER Optimality Criterias and all of the port, Mei Gefen Cloth antenna port optimizes to calculate through excess convexity obtains optimized power distribution coefficient.
To a single cell MIMO Signal with Distributed Transmit Antennas, base station end antenna number is N, and K user of different distance matches somebody with somebody in cell Standby M antenna, K user send data to base station simultaneously, and base station end uses ZF receiver reception signals, and its expression formula is:Y= Ts+n, T=ZRTΞ, wherein, channel T is Composite Fading Channels, and s is transmitting modulated signal, and n is complex-valued Gaussian noise, and y is base station The reception signal at end, including multipath fading H=ZRTIn Z, obey plural rayleigh distributed independent same distribution CN (0,1), H is The product of multipath fading and transmitting correlation matrix;Channel transmitting correlation matrix is RT=diag (RT1, RT2, L, RTK),ρk∈ [0,1), RTKLaunch correlation matrix, ρ for k-th of userkFor the coefficient correlation of k-th of user;Large scale Decline Ξ, obeys logarithm normal distribution:Its In,Represent the path loss of k-th of user, v is path loss coefficient, stochastic variable ΞkObey logarithm normal distribution:Wherein, μkkFor its average and variance, η=10/ln 10.
The instantaneous received signal to noise ratio of ZF receivers isWherein, SNR is averaged for system Signal to noise ratio,Use the SER error probabilities of square q-QAM modulation systems Function:
Wherein, q is the system number of q-QAM modulation;Use Multivariable Statistical Methods
EH,Ξ[SER (H, Ξ)]=EΞ[EH[SER (H, Ξ) | Ξ]], markFirst to small Yardstick decline takes expectation:When SNR tends to infinity,The major event of extractable high s/n ratioObtain:
According to
Obtain SER Asymptotic Expressions:Wherein,
It is determined that every sub-channels SER Asymptotic Expression functions of each user are convex functions, based on minimum weighted average approach SER Optimality CriteriasWith the single order and second-order channel statistics information of all of the port, each Spaced antenna port optimizes to calculate through excess convexity obtains optimized power distribution coefficient: Middle subscriptRepresent βkm'sPower, it is exactly to βkmExponentiation, be exactly to β hereinkmOpen N-KM+2 times Side.
(3) beneficial effect
For the ZF receivers of MIMO Signal with Distributed Transmit Antennas, antenna power distribution method of the invention using multivariate statistics, The methods of major event extraction and convex optimization, obtains the power partition coefficient of every antenna, to minimize the weighted average approach erratum number of system Rate.The present invention does not need complete channel information in originator, and optimal power is obtained merely with the statistic channel information of channel Allocative decision minimizes average error sign ratio, in the case where transmission general power is constant, is obviously improved with relatively low overhead Systematic function, so as to improving the feasibility of the method in actual applications.
Brief description of the drawings
Fig. 1 is the workflow diagram of the present invention.
The MIMO Signal with Distributed Transmit Antennas that Fig. 2 is the present invention transmits schematic diagram.
Fig. 3 is the average SER performance comparison figures of system of the power allocation scheme and conventional power allocative decision of the present invention.
Embodiment
The present invention is described in further detail with reference to the accompanying drawings and detailed description.
Systematic function is effectively improved under the premise of overhead is not increased considerably, and is advantageous in systems in practice should With a kind of power allocation scheme based on channel statistical information of proposition.Referring to Fig. 1 and Fig. 2, the present invention provides a kind of distributed The power distribution method of error sign ratio (SER) is minimized in mimo system, is comprised the following steps:
S1:Base station end obtains the compound channel information of all spaced antenna ports, including small yardstick by channel estimation Decline, channel transmitting correlation matrix, large scale decline etc..
1st, to a single cell MIMO Signal with Distributed Transmit Antennas, base station end antenna number is N, K user of different distance in cell M antenna is equipped with, K user sends data to base station simultaneously, and base station end uses ZF receiver reception signals, and its expression formula is:y =Ts+n, T=ZRTΞ, wherein, channel T is Composite Fading Channels, and s is transmitting modulated signal, and n is complex-valued Gaussian noise, and y is base Stand the reception signal at end, including multipath fading H=ZRTIn Z, obey plural rayleigh distributed independent same distribution CN (0,1), H For the product of multipath fading and transmitting correlation matrix;Channel transmitting correlation matrix is RT=diag (RT1, RT2, L, RTK),ρk∈ [0,1), RTKLaunch correlation matrix, ρ for k-th of userkFor the coefficient correlation of k-th of user;Large scale Decline Ξ, obeys logarithm normal distribution:Its In,Represent the path loss of k-th of user, v is path loss coefficient, stochastic variable ΞkObey logarithm normal distribution:Wherein, μkkFor its average and variance, η=10/ln10.
S2:Each spaced antenna port obtains the channel statistical information of all of the port, channel by base station feedback link Single order and second-order statisticses information include:The plural rayleigh distributed that multipath fading Z is obeyed, transmitting correlation matrix RT, big chi Spend the probability density distribution f (ε of declinek) and apart from path loss coefficientDeng.
S3:According to instantaneous received signal to noise ratio of the base station ZF receivers per sub-channels, the SER of q-QAM modulation systems is obtained Function expression, its multipath fading stochastic variable is asked based on multivariate statistics theory and it is expected to extract high s/n ratio section SER major events.
Reception signal y reverts to multiple parallel independent data flows after ZF (ZF) receives detectionWherein, G=(THT)-1THFor zero-forcing detector device.
The instantaneous received signal to noise ratio of ZF receivers isWherein, SNR is averaged for system Signal to noise ratio,
Use the SER error probability functions of square q-QAM modulation systems:
Wherein, q is the system number of q-QAM modulation,
Use Multivariable Statistical Methods EH,Ξ[SER (H, Ξ)]=EΞ[EH[SER (H, Ξ) | Ξ]], markExpectation is taken to multipath fading first:Work as SNR When tending to infinity,The major event of extractable high s/n ratioObtain:
S4:Large scale decline stochastic variable and Q functions in above major event are asked and it is expected the SER for obtaining high s/n ratio section gradually Nearly expression formula.
According to
Obtain SER Asymptotic Expressions:Wherein,
S5:Based on minimum weighted average approach SER Optimality Criterias:And all of the port Single order and second-order channel statistics information, each spaced antenna port through excess convexity optimize calculate obtain optimized power distribution system Number: Middle subscriptRepresent βkm'sPower, it is exactly to βkmExponentiation fortune Calculate, be exactly to β hereinkmOpen N-KM+2 powers.
The present invention, which proposes each port in a kind of MIMO Signal with Distributed Transmit Antennas and undergoes small yardstick and large scale compound channel, to decline In the case of falling, each port signal passes through square quadrature amplitude modulation (Quadrature Amplitude Modulation, QAM) Afterwards, receiving terminal base station carries out the up-line system that ZF (ZF) receives detection, accurate as optimization to minimize weighted average approach SER Then, start and a kind of optimal power distribution method is proposed based on channel statistical information, in the case where transmission general power is constant, with Relatively low overhead significantly improves systematic function.
The present invention does not need complete channel information in originator, is obtained merely with the slow fading statistic channel information of channel Optimal power allocation scheme minimizes average error sign ratio, can be with relatively low system in the case where transmission general power is constant Expense is obviously improved systematic function, so as to improve the feasibility of the method in actual applications.This programme considers more to meet reality The characteristic of channel of border scene channel fading, each port experience compound channel decline, including multipath fading, launch correlation, Large scale declines and path loss coefficient, receiving terminal use zero-forcing detector (ZF), with the minimum mesh of the asymptotic average error sign ratio of system Scalar functions, originator only need the statistical information of channel, optimize transmitting terminal power partition coefficient, to have reached raising system compared with low overhead The effect for performance of uniting.
Traditional antenna power allocative decision is the every antenna constant power distribution of each port, and the antenna work(of the present invention Rate allocative decision is that the power that the m root antennas of k-th of user are distributed is:
Wherein
N is base station reception antenna number, and K is port number, and M is user's transmission antenna number, DkIt is k-th of user and base The distance stood, v are path loss coefficients.μk, δkBe respectively for k-th user undergo large scale decline logarithm normal distribution expectation and Variance,In addition
RT=diag (RT1, RT2, L, RTK),ρk∈[0,1)。
SER average behavior comparison diagrams shown in Figure 3, a kind of MIMO Signal with Distributed Transmit Antennas configuration are arranged to antenna for base station number For 10, there are 4 spaced antenna ports for being in different distance, distance is respectively:0.5km, 1km, 1.5km, 2km, path loss system Number is 4, and the average of logarithm normal distribution and variance are respectively 4 and 2 in large scale decline shadow effect, and each port configures 2 Antenna, using 16QAM modulation systems, receiving terminal receives detection using ZF;The present invention will be used to carry power allocation scheme and biography The power allocation scheme performance of system is contrasted, from Fig. 3, it is apparent that being respectively 0.3 and 0.9 in transmitting coefficient correlation In the case of, 2~3 db are improved in average error sign ratio (SER) performance of same high s/n ratio Interval System, systematic function obtains To significantly improving.

Claims (5)

1. the power distribution method of error sign ratio is minimized in a kind of MIMO Signal with Distributed Transmit Antennas, it is characterised in that including following step Suddenly:
S1:Base station end obtains the compound channel information of all spaced antenna ports, including multipath fading by channel estimation, Launch correlation matrix, large scale decline;
S2:Each spaced antenna port obtains the channel statistical information of all of the port, including small chi by base station feedback link Spend fading probability Density Distribution, correlation matrix, large scale fading probability Density Distribution and path loss coefficient;
S3:According to instantaneous received signal to noise ratio of the base station ZF receivers per sub-channels, the SER functions of q-QAM modulation systems are obtained Expression formula, its multipath fading stochastic variable is asked first based on multivariate statistics theory and it is expected to extract high s/n ratio section SER major events;
S4:The asymptotic expression of SER for it is expected to obtain high s/n ratio section is asked to large scale decline stochastic variable and Q functions in major event Formula;
S5:It is each distributed based on the single order and second-order channel statistics information for minimizing average SER Optimality Criterias and all of the port Antenna port optimizes to calculate through excess convexity obtains optimized power distribution coefficient.
2. the power distribution method of error sign ratio, its feature are minimized in MIMO Signal with Distributed Transmit Antennas according to claim 1 It is:To a single cell MIMO Signal with Distributed Transmit Antennas, base station end antenna number is N, and K user of different distance is equipped with M in cell Individual antenna, K user send data to base station simultaneously, and base station end uses ZF receiver reception signals, and its expression formula is:Y=Ts+ N, T=ZRTΞ, wherein, channel T is Composite Fading Channels, and s is transmitting modulated signal, and n is complex-valued Gaussian noise, and y is base station end Reception signal, including multipath fading H=ZRTIn Z, obey plural rayleigh distributed independent same distributionH is small chi Degree decline and the product of transmitting correlation matrix;Channel transmitting correlation matrix is RT=diag (RT1, RT2, L, RTK),ρk∈ [0,1), RTKLaunch correlation matrix, ρ for k-th of userkFor the coefficient correlation of k-th of user;Large scale Decline Ξ, obeys logarithm normal distribution:Its In,Represent the path loss of k-th of user, v is path loss coefficient, stochastic variable ΞkObey logarithm normal distribution:εk> 0, wherein, μkkFor its average and variance, η=10/ln10.
3. the power distribution method of error sign ratio, its feature are minimized in MIMO Signal with Distributed Transmit Antennas according to claim 2 It is:The instantaneous received signal to noise ratio of ZF receivers isWherein, SNR is that system is averagely believed Make an uproar and compare, ΞKm, kmRepresent m element of kth on large scale fading matrix Ξ diagonal, PKm, kmRepresent power distribution diagonal of a matrix On m element of kth,Use the SER of square q-QAM modulation systems Error probability function:
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Wherein, q is the system number of q-QAM modulation,Use Multivariable Statistical Methods EH,Ξ[SER (H, Ξ)]= EΞ[EH[SER (H, Ξ) | Ξ]], markExpectation is taken to multipath fading first:When SNR tends to infinity,
The major event of extractable high s/n ratioObtain:
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4. the power distribution method of error sign ratio, its feature are minimized in MIMO Signal with Distributed Transmit Antennas according to claim 3 It is:According to
<mrow> <mi>E</mi> <mo>&amp;lsqb;</mo> <mfrac> <mn>1</mn> <msubsup> <mi>&amp;epsiv;</mi> <mi>k</mi> <mrow> <mi>N</mi> <mo>-</mo> <mi>K</mi> <mi>M</mi> <mo>+</mo> <mn>1</mn> </mrow> </msubsup> </mfrac> <mo>&amp;rsqb;</mo> <mo>=</mo> <msup> <mi>e</mi> <mfrac> <mrow> <msup> <mrow> <mo>(</mo> <mi>N</mi> <mo>-</mo> <mi>K</mi> <mi>M</mi> <mo>+</mo> <mn>1</mn> <mo>)</mo> </mrow> <mn>2</mn> </msup> <msubsup> <mi>&amp;delta;</mi> <mi>k</mi> <mn>2</mn> </msubsup> <mo>-</mo> <mn>2</mn> <mi>&amp;eta;</mi> <mrow> <mo>(</mo> <mi>N</mi> <mo>-</mo> <mi>K</mi> <mi>M</mi> <mo>+</mo> <mn>1</mn> <mo>)</mo> </mrow> <msub> <mi>&amp;mu;</mi> <mi>k</mi> </msub> </mrow> <mrow> <mn>2</mn> <msup> <mi>&amp;eta;</mi> <mn>2</mn> </msup> </mrow> </mfrac> </msup> <mo>=</mo> <msub> <mover> <mi>&amp;epsiv;</mi> <mo>&amp;OverBar;</mo> </mover> <mi>k</mi> </msub> </mrow>
<mrow> <msubsup> <mo>&amp;Integral;</mo> <mn>0</mn> <mfrac> <mi>&amp;pi;</mi> <mn>2</mn> </mfrac> </msubsup> <msup> <mrow> <mo>(</mo> <msup> <mi>sin</mi> <mn>2</mn> </msup> <mi>&amp;theta;</mi> <mo>)</mo> </mrow> <mrow> <mi>N</mi> <mo>-</mo> <mi>K</mi> <mi>M</mi> <mo>+</mo> <mn>1</mn> </mrow> </msup> <mi>d</mi> <mi>&amp;theta;</mi> <mo>=</mo> <mfrac> <mi>&amp;pi;</mi> <mn>2</mn> </mfrac> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mi>N</mi> <mo>-</mo> <mi>K</mi> <mi>M</mi> <mo>+</mo> <mn>1</mn> </mrow> </munderover> <mfrac> <mrow> <mn>2</mn> <mi>k</mi> <mo>-</mo> <mn>1</mn> </mrow> <mrow> <mn>2</mn> <mi>k</mi> </mrow> </mfrac> <mo>=</mo> <msub> <mi>B</mi> <mn>1</mn> </msub> </mrow>
<mrow> <msubsup> <mo>&amp;Integral;</mo> <mn>0</mn> <mfrac> <mi>&amp;pi;</mi> <mn>4</mn> </mfrac> </msubsup> <msup> <mrow> <mo>(</mo> <msup> <mi>sin</mi> <mn>2</mn> </msup> <mi>&amp;theta;</mi> <mo>)</mo> </mrow> <mrow> <mi>N</mi> <mo>-</mo> <mi>K</mi> <mi>M</mi> <mo>+</mo> <mn>1</mn> </mrow> </msup> <mi>d</mi> <mi>&amp;theta;</mi> <mo>=</mo> <mfrac> <mi>&amp;pi;</mi> <mn>4</mn> </mfrac> <munderover> <mo>&amp;Pi;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mi>N</mi> <mo>-</mo> <mi>K</mi> <mi>M</mi> <mo>+</mo> <mn>1</mn> </mrow> </munderover> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>k</mi> </munderover> <mfrac> <mrow> <mo>(</mo> <mn>2</mn> <mi>k</mi> <mo>)</mo> <mo>!</mo> <mo>!</mo> <mo>(</mo> <mi>j</mi> <mo>-</mo> <mn>1</mn> <mo>)</mo> <mo>!</mo> <mo>!</mo> </mrow> <mrow> <mo>(</mo> <mn>2</mn> <mi>k</mi> <mo>-</mo> <mn>1</mn> <mo>)</mo> <mo>!</mo> <mo>!</mo> <mi>j</mi> <mo>!</mo> <mo>!</mo> </mrow> </mfrac> <msup> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <msqrt> <mn>2</mn> </msqrt> </mfrac> <mo>)</mo> </mrow> <mrow> <mn>2</mn> <mrow> <mo>(</mo> <mi>k</mi> <mo>-</mo> <mi>j</mi> <mo>+</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> </msup> <mo>=</mo> <msub> <mi>B</mi> <mn>2</mn> </msub> </mrow>
Obtain SER Asymptotic Expressions:Wherein,
5. the power distribution method of error sign ratio, its feature are minimized in MIMO Signal with Distributed Transmit Antennas according to claim 4 It is:It is determined that every sub-channels SER Asymptotic Expression functions of each user are convex functions, based on minimum weighted average approach SER Optimality CriteriaWith the single order and second-order channel statistics information of all of the port, each distribution Formula antenna port optimizes to calculate through excess convexity obtains optimized power distribution coefficient: In on MarkRepresent βkm'sPower.
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