CN109714120A - A method of simulation coupling multi antenna interior space fading channel propagation characteristic - Google Patents

A method of simulation coupling multi antenna interior space fading channel propagation characteristic Download PDF

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CN109714120A
CN109714120A CN201811552986.8A CN201811552986A CN109714120A CN 109714120 A CN109714120 A CN 109714120A CN 201811552986 A CN201811552986 A CN 201811552986A CN 109714120 A CN109714120 A CN 109714120A
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angle
antenna
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CN109714120B (en
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李岳衡
吴猜
周涛
徐荣蓉
居美艳
黄平
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Hohai University HHU
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Abstract

The invention discloses a kind of methods for simulating coupling multi antenna interior space fading channel propagation characteristic, comprising the following steps: (1) generates the l cluster angle of departure and acceptance angle of random distribution;(2) it generates and obeys the transmitting deviation angle of kth strip diameter in the transmitting terminal of laplacian distribution and the l cluster of receiving end and receive deviation angle;Generate the angle of departure of the sub- diameter of transmitting terminal l cluster kth;(3) angle of arrival of the sub- diameter of kth in the l cluster of receiving end is generated;(4) amplitude of every strip diameter of Rayleigh distributed is generated;Generate the phase for obeying [0,2 π] equally distributed every strip diameter;(5) stochastic variable of Lognormal shadowing numeralization is generated;(6) antenna arrangement is combined to generate the guiding vector of each antenna;(7) channel transfer matrices of entire close coupling mimo system are generated.The present invention fully considers the influence of large scale shadow fading and array element electromagnetic coupling effect in indoor propagation environment, the characteristic of channel of MIMO multi-aerial transmission system in accurate simulation and Evaluation Room.

Description

A method of simulation coupling multi antenna interior space fading channel propagation characteristic
Technical field
The present invention relates to a kind of methods for simulating coupling multi antenna interior space fading channel propagation characteristic, are particularly suitable for The indoor multi-antenna wireless of complexity for comprehensively considering Lognormal shadowing effect, multipath fading and antenna electromagnetic coupling effect is logical Believe scene.
Background technique
Radio signal is easy in communication process to be influenced by barrier indoors and generates and various reflect, reflect, spreading out It the physical phenomenons such as penetrates, is that there are plenty of time extensions and the decline of angle spread letter so as to cause the received electric signal in receiving end Number.According to the transmission characteristic of classical spatial fading signal, decline mainly includes multipath fading (Small-scall Fading) With large-scale fading (Large-scale Fading).
SVA (Saleh-Valenzuela AOA/AOD) channel model is a kind of typical indoor channel model, although should Model can effectively react propagation characteristic of the wireless signal indoors in environment, but it is mainly from the angle of multipath fading The multipath transmisstion characteristic of indoor fading channel is analyzed, does not consider the large-scale fading still remained when propagating in indoor environment (Large-scale Fading) influences, especially the influence of the shadow fading in other words of the shadow effect in large-scale fading.
Large-scale fading mainly includes path loss and shadow fading.The path loss of wireless signal is about propagation distance Function can be neglected since the propagation distance of wireless signal under environment indoors is generally shorter when studying indoor channel The slightly influence of path loss.And the shadow fading of wireless signal is the shade as caused by barrier obstructions multiple in communication environments Caused by effect, since the barrier in indoor environment is generally more, such as wall, closet, shelf, door and window, therefore, in research department The influence of shadow effect ought to be considered when interior channel.
In addition, extensive extensive use of the multiple antenna transmission technique in new generation of wireless communication system, no matter so that hair It penetrates end or receiver end is all present in very small bulk the problem of needing to configure numerous quantity antennas, this will can not keep away Generate the electromagnetic coupling effect between array element with exempting from;Existing theoretical research shows that electromagnetic coupling effect is to MIMO (Multiple Input Multiple Output) performance of system will generate extreme influence.So in the simulation process of wireless transmission channel It must fully consider this new influence factor.
Summary of the invention
In view of the deficienciess of the prior art, it is an object of the present invention to provide a kind of declines of simulation coupling multi antenna interior space The method of channel propagation characteristics, this method have fully considered large scale shadow fading and array element electromagnetic coupling in indoor propagation environment The characteristic of channel with MIMO multi-aerial transmission system in Evaluation Room is more accurately simulated in the influence of effect.
To achieve the goals above, the present invention is to realize by the following technical solutions:
A kind of method of simulation coupling multi antenna interior space fading channel propagation characteristic of the invention, including following step It is rapid:
(1) the l cluster angle of departure of the random distribution in (0,360) range is generated using rand function in matlab
(2) the transmitting deviation angle of sub- diameter and reception deviation angle obey laplacian distribution in cluster, therefore utilize Laplce Inverse transformation generates the transmitting deviation angle of kth strip diameter in l cluster and receives deviation angleIt will be in the l cluster angle of departure and l cluster The transmitting deviation angle of kth strip diameter is added, that is, generates the angle of departure of the sub- diameter of transmitting terminal l cluster kth;
(3) it is according to the angle of arrival that step (1), the method for (2) generate the sub- diameter of kth in the l cluster of receiving end
(4) two groups of uncorrelated gaussian random sequences are generated first with randn function in matlab, then by its quadratic sum evolution Generate the amplitude β of every strip diameter of Rayleigh distributedk,l;Obedience [0,2 π] is generated using rand function in matlab uniformly to divide The phase theta of every strip diameter of clothk,l
(5) the stochastic variable X of Lognormal shadowing numeralization is generated;
(6) it imports Electromagnetic Simulation HFSS software emulation and obtains the far-field radiation gain of each array element of arrayIn conjunction with antenna Layout generates the guiding vector of each antenna;
(7) the comprehensive cluster angle of departureAcceptance angleEmit sub- diameter amplitude βk,l, phase thetak,l, shadow fading parameter X obtains Channel coefficients, and then the channel transfer matrices of entire close coupling mimo system are generated, for measuring channel transfer characteristic.
In step (6), the method for generating the guiding vector of each antenna in conjunction with antenna arrangement is as follows:
The probability density statistics of the arrival time of sub- diameter obeys condition index distribution in every cluster and cluster, and expression formula is as follows:
In above formula, TlIt is the arrival time of first article of ray in l cluster, τk,lWhen being the arrival of kth article ray in l cluster Between;Λ and λ is then respectively cluster arrival rate and ray arrival rate;
The angle of departure AOD and angle of arrival AOA of wireless signal are modeled, then the channel impulse response expression formula table of model It is shown as:
In formula, L is the quantity of cluster, and K is sub- diameter quantity in cluster, τlFor the arrival time of l cluster, τk,lFor kth in l cluster Strip diameter is relative to τlArrival time, βk,lFor the complex gain coefficient of kth strip diameter in l cluster, θTFor the angle of departure of transmitter; |βk,l| indicating the amplitude of fading of kth strip diameter in l cluster, Rayleigh distributed, probability density function such as formula (4) is shown, andRefer to the mean power of l cluster, kth strip diameter;θk,lIt indicates the phase of kth strip diameter in l cluster, and is evenly distributed on [0,2 π] on;θRFor the angle of arrival of receiver,For the average emitted angle of l cluster,For the average angle of arrival of l cluster,For l In cluster kth strip diameter relative toThe angle of departure,For kth strip diameter in l cluster relative toAngle of arrival;δ (x) is punching Swash function
When transmitting terminal uses directional aerial using omnidirectional antenna and receiving end, sub- diameter AOA obeys two-sided Laplace point Cloth;Meanwhile mean cluster AOA is mutually indepedent and submits to being uniformly distributed on [0,2 π] together;When transmitting terminal and receiving end have When identical system structure, the distribution of AOA and AOD be it is identical, indoors in channel, transmitting terminal and receiving end have symmetrical Property, then the AOA/AOD of transmitting terminal and receiving terminal diameter obeys 0 mean value, standard deviation σPTwo-sided Laplace distribution, be denoted asExpression formula is as follows:
Angular standard difference σ in above formulaPIt is indicated with radian,Be compared toFor, thereforeWith 0 mean value;
The time delay component of (3) formula integrate:
The channel impulse response of modified SVA model is rewritten by formula (6) are as follows:
In formula, X is lognormal stochastic variable;
SVA model channel coefficients between n-th transmitting antenna and m root receiving antenna in mimo systems, it may be assumed that
In above-mentioned expression formula, wherein X is lognormal stochastic variable, is metI.e. 20log10X is Mean value is zero, and variance isGaussian random variable;The receiving end and transmitting terminal antenna guiding vectorIt is the guiding vector of antenna, wherein tee, R respectively indicate transmitting terminal and receiving end, table It is as follows up to formula:
In formula,It is the gain pattern of antenna;It is phase function, is given by:
In formula, k0=2 π/λ0It is free space wave number;It is the coordinate of transmitting antenna Yu receiving end antenna, λ0It is The corresponding wavelength of centre frequency.
In step (5), the stochastic variable X is lognormal stochastic variable,I.e. 20log10(X) obeying mean value is 0, standard deviation σSFGaussian Profile.
In step (7), the channel transfer matrices of entire close coupling mimo system, specific generation method is as follows:
In order to enable computer simulation not increase total reception power in the process, increase normalization factorSo that The quantity of sub- diameter obtains big in cluster and cluster in value simulation process, then channel coefficients formula (8) is rewritten are as follows:
For the mimo system of N root transmitting antenna and M root receiving antenna, channel transfer matrices are indicated are as follows:
This present invention can approach the indoor multiple antennas propagation of electromagnetic coupling effect between consideration bay to the full extent The characteristic of environment can provide service and reference for the design of hardware and software of indoor mobile communication system, performance simulation and assessment.
Detailed description of the invention
Fig. 1 is indoor wireless channels classics time delay distribution figure;
Fig. 2 (a) is every cluster AOA/AOD parameter of indoor environment transmitting terminal;
Fig. 2 (b) is every cluster AOA/AOD parameter of indoor environment receiving end;
Fig. 3 (a) is that MC-SVA channel model of the invention is not introduced into channel impulse response after Lognormal shadowing Front and back comparison diagram;
Fig. 3 (b) is the MC-SVA channel model of the invention channel impulse response after introducing Lognormal shadowing Front and back comparison diagram;
Fig. 4 is that the MC-SVA channel model of the invention channel power after introducing Lognormal shadowing is distributed histogram Figure;
Fig. 5 is the MC-SVA channel model of the invention channel capacity after introducing Lognormal shadowing and coupling effect Distribution map;
Fig. 6 is the specific software realization process of MC-SVA channel model of the invention.
Specific embodiment
To be easy to understand the technical means, the creative features, the aims and the efficiencies achieved by the present invention, below with reference to Specific embodiment, the present invention is further explained.
Present invention is mainly used for indoor environments, such as large-scale office building, market, in conjunction with the complexity (transmission of actual environment Distance it is short, but internal reasons are more), need to comprehensively consider two kinds of fading profiles.
The purpose of the present invention is construct a kind of suitable simulation coupling multi antenna Transmission system interior space fading channel propagation The method of characteristic, specifically, being then the narrowband reduced form based on traditional SVA channel model, by introducing large scale logarithm Electromagnetic coupling effect between normal state shadow fading and bay, a kind of novel MC-SVA suitable for indoor coupling mimo system (Mutual Coupling SVA) channel model, and the channel transfer matrices mathematical expression of the model and soft is set forth in detail Part implementation process, perfect existing indoor mimo system Channel Modeling enable to simulate and assess compact more days of new generation The wave transmissions characteristic and system performance of line Transmission system.
Indoors in complicated multiple antenna communication, pass through the collection and statistics to indoor multipath propagation channel time data Analysis finds its time delay distribution there are more cluster phenomenons and every cluster by a plurality of sub- diameter constitutes (as shown in Figure 1).In addition, experiment number Condition index distribution is obeyed according to also showing that the probability density of the arrival time of sub- diameter in every cluster and cluster counts, expression formula is as follows:
In above formula, TlIt is the arrival time of first article of ray in l cluster (relative to preceding cluster Tl-1For), τk,lIt is l The arrival time of kth ray is (relative to T in clusterlFor);Λ and λ is then respectively cluster arrival rate and ray arrival rate.
Traditional SVA channel model considers wireless signal from time domain and the two dimensions of airspace, the transmitting to wireless signal Angle (Angle of Departure, AOD) and angle of arrival (Angle of Arrival, AOA) are modeled, and transmitting terminal and are connect Shown in every cluster AOD/AOA parameter such as Fig. 2 (a), Fig. 2 (b) of receiving end, then the channel impulse response expression formula of the model can indicate Are as follows:
In formula, | βk,l| indicate the amplitude of fading of kth strip diameter in l cluster, general Rayleigh distributed, probability density Shown in function such as formula (4), andRefer to the mean power of l cluster, kth strip diameter;θk,lIndicate the phase of kth strip diameter in l cluster Position, and be evenly distributed on [0,2 π];Remaining parameter definition is as shown in table 1.
When a large amount of measured data shows to use omnidirectional antenna when transmitting terminal and receiving end is using directional aerial, sub- diameter AOA Obey two-sided Laplace distribution;Meanwhile mean cluster AOA is mutually indepedent and submits to being uniformly distributed on [0,2 π] together.When When transmitting terminal and receiving end system structure having the same, the distribution of AOA and AOD are identical.Without loss of generality, it is believed that In indoor channel, transmitting terminal and receiving end have symmetry, then the AOA/AOD of transmitting terminal and receiving terminal diameter obey 0 mean value, Standard deviation is σPTwo-sided Laplace distribution, be denoted asExpression formula is as follows:
Angular standard difference σ in above formulaPIt is indicated with radian.In addition, it is noted thatBe compared toFor, because ThisWith 0 mean value.
Table 1SVA model channel impulse response formula parameter list
At narrowband, multi-path delay spread is compared to being very little for every symbol period.Therefore, in this kind of environment Down it is considered that the channel impulse response of SVA model is directionality, i.e., the time delay component of (3) formula is integrated and can be obtained:
In order to more fully reflect true indoor propagation environment, the present invention is first in the letter of traditional SVA channel model narrowband Lognormal shadowing is introduced on the basis of change form to describe influence of the large-scale fading to indoor fading channel (assuming that big Scale decline and multipath fading are mutually indepedent), then the channel impulse response of this modified SVA model can be rewritten by formula (6) Are as follows:
In formula, X be lognormal stochastic variable (That is 20log10(X) obeying mean value is 0, Standard deviation is σSFGaussian Profile).
When the modified SVA channel model of above-mentioned consideration large-scale fading expands in multiple antennas mimo transmission system, It is not difficult to derive channel coefficients of the SVA model in mimo systems between n-th transmitting antenna and m root receiving antenna, it may be assumed that
In above-mentioned expression formulaIt is the guiding vector of antenna, expression formula is as follows:
In formula,It is the gain pattern of antenna;It is phase function, is given by:
In formula, k0=2 π/λ0It is free space wave number (λ0It is the corresponding wavelength of centre frequency);It is transmitting antenna With the coordinate of receiving end antenna.
In order to enable computer simulation not increase total reception power in the process, normalization factor can be increasedWith So that the quantity of sub- diameter obtains sufficiently large in cluster and cluster in numerical simulation process, so then channel coefficients formula (8) be can be rewritten as:
For the mimo system of N root transmitting antenna and M root receiving antenna, channel transfer matrices can be indicated are as follows:
In recent years, the universal and promotion with MIMO transmission technology at communication system base station end and receiving end, aerial array It increasingly minimizes, so as to cause bay hypotelorism and then causes ignorable electromagnetic coupling effect, this, which also becomes, sets New problem, the new factor that must be taken into consideration when counting mimo system.And the resulting channel transfer matrices of the present invention can then embody Out in multiple antennas mimo transmission system bay coupling effect influence, method is to pass through antenna guiding vectorCome It is embodied: becauseIt is about antenna gain patternsAnd phaseFunction, andObviously it will receive The influence of coupling, as long as therefore can be obtained by the introducing of pattern distortion caused by electromagnetic coupling effect between array element formula (11) instead Reflect the new SVA channel model of coupling effect.Here Lognormal shadowing is introduced and again suitable for close coupling for such The SVA channel model of mimo system is abbreviated as MC-SVA channel model.
When wherein Fig. 3 (a), two subgraph of Fig. 3 (b) are respectively shadow-free decline and have shadow fading, MC-SVA channel is rushed Swash response distribution.It compares two figures and can be seen that and consider that the amplitude of the channel impulse response of Lognormal shadowing will be bigger Degree equal proportion decaying, this, which also shows revised SVA channel, can more realistically embody the fading profiles of practical reception signal. Fig. 4 is the SVA model through power number distribution histogram caused by the realization of 1000 secondary channels;From this figure, it can be seen that the SVA The channel power of model obeys logarithm normal distribution really.Fig. 5 is the coupling mimo system based on MC-SVA channel model flat Equal received signal to noise ratio is the analogous diagram that under the conditions of 20dB, channel capacity changes with antenna spacing;From figure again it can be seen that When array-element antenna spacing is shorter, coupling is stronger, and system channel capacity at this time is more obvious (i.e. antenna compared with reduction under no coupling condition Coupling effect is stronger, and system channel capacity is lower);Conversely, array-element antenna spacing is longer, and when tending to a wavelength X, the system Channel capacity is close with no coupling condition.In addition, can also be seen that from Fig. 5 when considering Lognormal shadowing, the system Channel capacity can be drastically decreased in the case where having coupling and non-coupling situation.
Referring to Fig. 6, the following are a kind of simulation coupling multi antenna interior space fading channels proposed by the invention to propagate spy The specific implementation step and process of the new model MC-SVA of property:
(1) the average emitted angle of the transmitting terminal l cluster of random distribution in [0,2 π] range is generated
(2) offset of the kth strip diameter angle of departure in the l cluster for obeying two-sided Laplace variation cloth is generatedThen By deviation angleWith cluster average emitted angleAddition obtains the angle of departure of the sub- diameter of kth in l cluster;
(3) similarly, the angle of arrival of the sub- diameter of kth in the l cluster of receiving end can be generated according to the method for steps 1 and 2;
(4) amplitude of every strip diameter of Rayleigh distributed is generated;
(5) phase for obeying [0,2 π] equally distributed every strip diameter is generated;
(6) stochastic variable of Lognormal shadowing numeralization is generated;
(7) the far-field radiation gain data for each array element of array that Electromagnetic Simulation HFSS software obtains is imported;
(8) setting transmitting terminal and receiving end antenna spacing;
(9) phase of transmitting Yu each array element in receiving end is sought according to the antenna spacing of setting
(10) the far-field radiation gain for taking step 7 to be imported according to the launch angle of the antenna spacing of setting, every strip diameter Data generate the gain pattern of each array element of transmitting terminal
(11) similarly, the gain pattern of each array element in receiving end can be generated in the method according to described in step 8-10
(12) transmitting terminal represented by expression formula (9) and receiving end are generated according to step 9,10,11 obtained parameters Guiding vector
(13) finally according to above-mentioned parameter generate expression formula (11) represented by channel coefficients, and thus obtain entire tight Couple the channel transfer matrices of mimo system.
The above shows and describes the basic principles and main features of the present invention and the advantages of the present invention.The technology of the industry Personnel are it should be appreciated that the present invention is not limited to the above embodiments, and the above embodiments and description only describe this The principle of invention, without departing from the spirit and scope of the present invention, various changes and improvements may be made to the invention, these changes Change and improvement all fall within the protetion scope of the claimed invention.The claimed scope of the invention by appended claims and its Equivalent thereof.

Claims (6)

1. a kind of method for simulating coupling multi antenna interior space fading channel propagation characteristic, which is characterized in that including following step It is rapid:
(1) the l cluster angle of departure of the random distribution in (0,360) range is generated
(2) the transmitting deviation angle of kth strip diameter in l cluster is generated using inverse Laplace transformationBy the l cluster angle of departure with The transmitting deviation angle of kth strip diameter is added in l cluster, that is, generates the angle of departure of the sub- diameter of transmitting terminal l cluster kth;
(3) it is according to the angle of arrival that step (1), the method for (2) generate the sub- diameter of kth in the l cluster of receiving end
(4) the amplitude β of every strip diameter of Rayleigh distributed is generatedk,l;It generates and obeys [0,2 π] equally distributed every strip diameter Phase thetak,l
(5) the stochastic variable X of Lognormal shadowing numeralization is generated;
(6) it imports Electromagnetic Simulation HFSS software emulation and obtains the far-field radiation gain of each array element of arrayIn conjunction with antenna arrangement Generate the guiding vector of each antenna;
(7) the comprehensive cluster angle of departureAcceptance angleEmit sub- diameter amplitude βk,l, phase thetak,l, shadow fading parameter X obtain channel Coefficient, and then the channel transfer matrices of entire close coupling mimo system are generated, for measuring channel transfer characteristic.
2. the method for simulation coupling multi antenna interior space fading channel propagation characteristic according to claim 1, feature It is, in step (1), the l cluster angle of departure of the random distribution in (0,360) range is generated using rand function in matlab
3. the method for simulation coupling multi antenna interior space fading channel propagation characteristic according to claim 1, feature It is, in step (4), generates two groups of uncorrelated gaussian random sequences first with randn function in matlab, then by its quadratic sum Evolution generates the amplitude β of every strip diameter of Rayleigh distributedk,l;It is generated using rand function in matlab and obeys [0,2 π] The phase theta of every strip diameter of even distributionk,l
4. the method for simulation coupling multi antenna interior space fading channel propagation characteristic according to claim 1, feature It is, in step (6), the method for generating the guiding vector of each antenna in conjunction with antenna arrangement is as follows:
The probability density statistics of the arrival time of sub- diameter obeys condition index distribution in every cluster and cluster, and expression formula is as follows:
In above formula, TlIt is the arrival time of first article of ray in l cluster, τk,lIt is the arrival time of kth article ray in l cluster;Λ It is then respectively cluster arrival rate and ray arrival rate with λ;
The angle of departure AOD and angle of arrival AOA of wireless signal are modeled, then the channel impulse response expression formula of model indicates Are as follows:
In formula, L is the quantity of cluster, and K is sub- diameter quantity in cluster, τlFor the arrival time of l cluster, τk,lFor kth strip diameter in l cluster Relative to τlArrival time, βk,lFor the complex gain coefficient of kth strip diameter in l cluster, θTFor the angle of departure of transmitter;|βk,l| Indicating the amplitude of fading of kth strip diameter in l cluster, Rayleigh distributed, probability density function such as formula (4) is shown, andRefer to The mean power of l cluster, kth strip diameter;θk,lIt indicates the phase of kth strip diameter in l cluster, and is evenly distributed on [0,2 π]; θRFor the angle of arrival of receiver,For the average emitted angle of l cluster,For the average angle of arrival of l cluster,It is in l cluster K strip diameter relative toThe angle of departure,For kth strip diameter in l cluster relative toAngle of arrival;δ (x) is impulse function
When transmitting terminal uses directional aerial using omnidirectional antenna and receiving end, sub- diameter AOA obeys two-sided Laplace distribution;Together When, mean cluster AOA is mutually indepedent and submits to being uniformly distributed on [0,2 π] together;When transmitting terminal is having the same with receiving end When system structure, the distribution of AOA and AOD be it is identical, indoors in channel, transmitting terminal and receiving end have symmetry, then send out The AOA/AOD for penetrating end and receiving terminal diameter obeys 0 mean value, standard deviation σPTwo-sided Laplace distribution, be denoted asExpression formula is as follows:
Angular standard difference σ in above formulaPIt is indicated with radian,Be compared toFor, thereforeWith 0 mean value;
The time delay component of (3) formula integrate:
The channel impulse response of modified SVA model is rewritten by formula (6) are as follows:
In formula, X is lognormal stochastic variable;
SVA model channel coefficients between n-th transmitting antenna and m root receiving antenna in mimo systems, it may be assumed that
In above-mentioned expression formula, wherein X is lognormal stochastic variable, meets 20log10X~N0,That is 20log10X is mean value It is zero, variance isGaussian random variable;The receiving end and transmitting terminal antenna guiding vectorIt is the guiding vector of antenna, wherein tee, R respectively indicate transmitting terminal and receiving end, table It is as follows up to formula:
In formula,It is the gain pattern of antenna;It is phase function, is given by:
In formula, k0=2 π/λ0It is free space wave number;It is the coordinate of transmitting antenna Yu receiving end antenna, λ0It is center The corresponding wavelength of frequency.
5. the method for simulation coupling multi antenna interior space fading channel propagation characteristic according to claim 4, feature It is, X is lognormal stochastic variable,That is 20log10(X) obeying mean value is 0, and standard deviation is σSFGaussian Profile.
6. the method for simulation coupling multi antenna interior space fading channel propagation characteristic according to claim 4, feature It is, in step (7), the channel transfer matrices of entire close coupling mimo system, specific generation method is as follows:
In order to enable computer simulation not increase total reception power in the process, increase normalization factorSo that total The quantity for being worth sub- diameter in cluster and cluster in simulation process obtains big, then channel coefficients formula (8) is rewritten are as follows:
For the mimo system of N root transmitting antenna and M root receiving antenna, channel transfer matrices are indicated are as follows:
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CN112511200A (en) * 2020-11-10 2021-03-16 河海大学 Method for simulating propagation characteristics of 3D scattering space coupling fading related channel
CN112511200B (en) * 2020-11-10 2022-04-08 河海大学 Method for simulating propagation characteristics of 3D scattering space coupling fading related channel
CN113613282A (en) * 2021-08-12 2021-11-05 广州广电计量检测股份有限公司 Method and device for simulating radio propagation electromagnetic environment of urban scene base station
CN113613282B (en) * 2021-08-12 2023-11-17 广电计量检测集团股份有限公司 Urban scene base station radio propagation electromagnetic environment simulation method and device

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