CN112398522B - Beam forming method of multi-antenna array - Google Patents

Beam forming method of multi-antenna array Download PDF

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CN112398522B
CN112398522B CN202011133625.7A CN202011133625A CN112398522B CN 112398522 B CN112398522 B CN 112398522B CN 202011133625 A CN202011133625 A CN 202011133625A CN 112398522 B CN112398522 B CN 112398522B
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CN112398522A (en
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王胜
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Qingdao Silicon Chang Communication Technology Co ltd
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B7/00—Radio transmission systems, i.e. using radiation field
    • H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/08—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station
    • H04B7/0891—Space-time diversity
    • H04B7/0897—Space-time diversity using beamforming per multi-path, e.g. to cope with different directions of arrival [DOA] at different multi-paths
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B17/00—Monitoring; Testing
    • H04B17/30—Monitoring; Testing of propagation channels
    • H04B17/391—Modelling the propagation channel
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B7/00—Radio transmission systems, i.e. using radiation field
    • H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/0413—MIMO systems

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Abstract

The invention relates to the field of antennas, in particular to a beam forming method of a multi-antenna array, which is suitable for MIMO multi-antenna arrays and is characterized by comprising the following steps: step S1, constructing a three-dimensional MIMO channel model according to the current positions and the number of the base station and the users; step S2, obtaining a spatial correlation coefficient according to the three-dimensional MIMO channel model; step S3, updating the current position of the user in the three-dimensional MIMO channel model; and step S4, updating the spatial correlation coefficient according to the current position. The beneficial effects of the above technical scheme are: and constructing a three-dimensional MIMO channel model, expanding the model into a non-stable three-dimensional MIMO channel model according to the expansion angle corresponding to the arrival elevation angle and the arrival azimuth angle, and taking the characteristics of the elevation angle and the azimuth angle in the antenna array into consideration, wherein the acquired channel parameters can accurately reflect the receiving characteristics of the channel.

Description

Beam forming method of multi-antenna array
Technical Field
The invention relates to the field of antennas, in particular to a beam forming method of a multi-antenna array.
Background
With the rapid development of the WiFi technology, the corresponding data size gradually increases. The increasing number of antenna elements and data streams, and the corresponding channel variation, make the interconnection and spatial correlation between the antenna elements increasingly prominent, which makes it difficult to transmit and generate accurate channel coefficients.
The conventional model constructed in the prior art ignores the relationship between the receiving space of the multi-polarization antenna array element and the antenna position of the receiving end, so that the characteristics of the elevation angle and the azimuth angle in the antenna array are not considered, and the obtained channel parameters cannot completely reflect the receiving characteristics of the channel.
Disclosure of Invention
In view of the above-mentioned drawbacks of the prior art, the present invention provides a beamforming method for a multi-antenna array, which is applicable to a MIMO multi-antenna array, and the method includes:
step S1, constructing a three-dimensional MIMO channel model according to the current positions and the number of the base station and the users;
step S2, obtaining a spatial correlation coefficient according to the three-dimensional MIMO channel model;
step S3, moving the current position of the user in the three-dimensional MIMO channel model;
step S4, updating the spatial correlation coefficient according to the moved current position.
Preferably, step S4 includes:
step S41, a first power spread angle corresponding to an arrival elevation angle and a second power spread angle corresponding to an arrival azimuth angle in the three-dimensional MIMO channel model are obtained;
step S42, updating the three-dimensional MIMO channel model according to the first power spread angle and the second power spread angle;
step S43, obtaining the updated spatial correlation coefficient according to the updated three-dimensional MIMO channel model.
Preferably, the spatial correlation coefficient in step S4 is expressed as:
Figure BDA0002735955660000021
wherein the content of the first and second substances,
Figure BDA0002735955660000022
for representing spatial correlation coefficients;
t is used to represent time;
Δ t is used to represent the next instant in time;
Figure BDA0002735955660000023
for representing an impulse response;
Figure BDA0002735955660000024
for representing the azimuth of transmission of the signal;
Figure BDA0002735955660000028
for representing the elevation of arrival of the signal;
Figure BDA0002735955660000025
for representing an impulse response;
Figure BDA0002735955660000026
for representing an impulse response;
Figure BDA0002735955660000027
for representing an impulse response;
P(θ-θo) For representing a first power spread angle after vertical polarization;
theta is used for receiving the elevation angle of the signal representing the current state;
θoa reception elevation angle for a signal representing an initial state;
Figure BDA0002735955660000031
for representing a second power spread angle after vertical polarization;
Figure BDA0002735955660000032
for representing the reception azimuth of the signal;
l 'k' is used for representing the total number of antenna array elements possessed in the MIMO multi-antenna array, wherein l 'is used for representing the number of rows in the MIMO multi-antenna array, and k' is used for representing the number of columns in the MIMO multi-antenna array;
sl′k′for representing a received signal vector;
the UE is used for representing a user;
| v | is used to represent the moving speed;
Figure BDA0002735955660000033
for representing the phase difference.
Preferably, step S1 includes:
step S11, setting current general parameters according to the current position and number of base station and user;
step S12, obtaining the current small-scale parameter according to the general parameter;
step S13, obtaining the current channel parameter according to the small-scale parameter;
and step S14, constructing the three-dimensional MIMO channel model according to the general parameters, the small-scale parameters and the channel parameters.
Preferably, step S11 includes:
step S111, presetting the environment parameters, the network topology structure parameters and the antenna array parameters;
step S112, distributing LOS or NLOS propagation conditions;
in step S113, the relevant parameters are acquired.
Preferably, the environmental parameter includes.
Preferably, the network topology parameters include.
Preferably, step S12 includes:
step S121, acquiring multipath power;
step S122, obtaining an arrival angle and a departure angle;
step S123, performing random coupling of the arrival angle and the departure angle. Preferably, the spatial correlation coefficient in step S2 is expressed as:
Figure BDA0002735955660000041
wherein the content of the first and second substances,
Figure BDA0002735955660000042
for representing spatial correlation coefficients;
Figure BDA0002735955660000043
for representing the azimuth of transmission of the signal;
Figure BDA0002735955660000049
for representing the elevation of arrival of the signal;
Figure BDA0002735955660000044
for representing an impulse response;
Figure BDA0002735955660000045
for representing the azimuth of transmission of the signal;
Figure BDA00027359556600000410
for representing the elevation of arrival of the signal;
Figure BDA0002735955660000046
for representing an impulse response;
Figure BDA0002735955660000047
for representing an impulse response;
Figure BDA0002735955660000048
for representing an impulse response;
P(θ-θo) For indicating the first power after vertical polarizationAn expansion angle;
theta is used for receiving the elevation angle of the signal representing the current state;
θoa reception elevation angle for a signal representing an initial state;
Figure BDA0002735955660000051
for representing a second power spread angle after vertical polarization;
Figure BDA0002735955660000052
representing the azimuth of reception of the signal.
Preferably, the MIMO multi-antenna array is configured according to a communication protocol of 802.11 ac.
The beneficial effects of the above technical scheme are: and constructing a three-dimensional MIMO channel model, expanding the model into a non-stable three-dimensional MIMO channel model according to the expansion angle corresponding to the arrival elevation angle and the arrival azimuth angle, and taking the characteristics of the elevation angle and the azimuth angle in the antenna array into consideration, wherein the acquired channel parameters can accurately reflect the receiving characteristics of the channel.
Drawings
FIG. 1 is a schematic general flow chart of a preferred embodiment of the present invention;
FIG. 2 is a flowchart of step S1 in a preferred embodiment of the present invention;
FIG. 3 is a flowchart of step S11 in a preferred embodiment of the present invention;
FIG. 4 is a flowchart of step S12 in a preferred embodiment of the present invention;
FIG. 5 is a flowchart of step S4 in a preferred embodiment of the present invention;
FIG. 6 is a schematic view of a preferred embodiment of the present invention with a 90 degree direction of travel;
FIG. 7 is a schematic view of the direction of travel of 0 degrees in a preferred embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
It should be noted that the embodiments and features of the embodiments may be combined with each other without conflict.
A beamforming method for a multi-antenna array, which is suitable for a MIMO multi-antenna array, as shown in fig. 1, the method includes:
step S1, constructing a three-dimensional MIMO channel model according to the current positions and the number of the base station and the users;
step S2, obtaining a spatial correlation coefficient according to the three-dimensional MIMO channel model;
step S3, moving the current position of the user in the three-dimensional MIMO channel model;
in step S4, the spatial correlation coefficient is updated according to the moved current position.
Specifically, a communication base station is used as a transmitting end and provided with transmitting antennas, mobile users such as mobile phones and the like are used as receiving ends and provided with corresponding receiving antennas, a three-dimensional MIMO channel model is built according to the current positions and the number of the base station and the users, and the phase of each antenna array element in the model is determined by a geometric relation. Considering that the user position changes, correspondingly, the elevation angle and the azimuth angle in the antenna position of the receiving end also change, thereby affecting the transceiving direction of the multi-antenna array, and causing the spatial correlation coefficient of the multi-antenna array to change. Therefore, in step S2, the corresponding spatial correlation coefficient is obtained according to the constructed three-dimensional MIMO channel model, the current position of the user is updated in step S3, the elevation angle and the azimuth angle of arrival in the three-dimensional MIMO channel model in step S1 are updated according to the current position in step S4, the model is expanded to a non-stationary three-dimensional MIMO channel model, and the spatial correlation coefficient is updated according to the model at this time. The spatial correlation coefficient at this time is based on the beam pattern of the multi-antenna array and the influence of far-field wave front on the receiving and transmitting antenna in the antenna array, and can accurately represent the receiving correlation characteristic of the channel, so that the spatial correlation coefficient is applied to the polarized antenna in a three-dimensional space.
In a preferred embodiment of the present invention, as shown in fig. 2, step S1 includes:
step S11, setting current general parameters according to the current position and number of base station and user;
step S12, obtaining the current small-scale parameter according to the general parameter;
step S13, obtaining the current channel parameter according to the small-scale parameter;
and step S14, constructing a three-dimensional MIMO channel model according to the general parameters, the small-scale parameters and the channel parameters.
Specifically, when constructing the three-dimensional MIMO channel model, firstly, a general parameter is set in step S11, the general parameter is set according to the number of positions of the base station and the user, then, a current small-scale parameter is obtained in step S12, and finally, a channel parameter is obtained, where the channel parameter is used to represent the channel characteristic of the channel model, which is helpful for an operator to analyze the constructed three-dimensional MIMO channel model according to the channel parameter.
In a preferred embodiment of the present invention, as shown in fig. 3, step S11 includes:
step S111, presetting environmental parameters, network topology structure parameters and antenna array parameters;
step S112, distributing LOS or NLOS propagation conditions;
in step S113, the relevant parameters are acquired.
Specifically, in the process of setting and determining the general parameters, first, in step S111, the environment parameters, the network topology, and the antenna array parameters are set and determined. In the process of setting the environment parameters, firstly, the number of scenes, base stations and users needs to be set, then, network topology structure parameters need to be determined, then, the configuration of antenna parameters, antenna directional diagrams of the base stations and the users in a spherical coordinate system are determined, and finally, the directions of the antennas of the base stations and the users relative to the spherical coordinate system are determined.
Subsequently, in step S12, LOS (Line Of Sight) or NLOS (Not Line Of Sight) propagation conditions are assigned, and in the process Of assigning the propagation conditions, the way Of Sight propagation is determined according to the distance from the user height to the base station.
Finally, in step S13, a relevant parameter is obtained, where the relevant parameter may be a large-scale dilation parameter.
In a preferred embodiment of the present invention, the environment parameters include the current location and number of users and base stations.
Specifically, in the process of setting the environmental parameters, the number of scenes, base stations and users needs to be set firstly, and considering that the related planning design of tall buildings in urban construction is more and more, and the number of users distributed in the vertical dimension direction is more and more, so that the accurate environmental parameters are set to construct the three-dimensional MIMO channel model, and the channel model can be applied to the actual environment to the maximum extent.
In a preferred embodiment of the present invention, the network topology parameters include three-dimensional position coordinates of the user and the base station, and the viewing distance arrival angle and departure angle in the corresponding spherical coordinate system.
In a preferred embodiment of the present invention, as shown in fig. 4, step S12 includes:
step S121, acquiring multipath power;
step S122, obtaining an arrival angle and a departure angle;
step S123, performing random coupling of the arrival angle and the departure angle.
Specifically, in the process of generating the small-scale parameter in step S12, the time delay is first calculated, and then since the array elements in the multi-antenna array have the characteristic of multipath propagation in the process of transmitting and receiving signals, the multipath power is acquired here, and in acquiring the multipath power, each path needs to be divided into a plurality of sub-paths, and the power is uniformly distributed to each sub-path in a uniformly distributed manner. Then, the arrival angle and the departure angle of the horizontal dimension and the vertical dimension are acquired, and finally random coupling is carried out.
In a preferred embodiment of the present invention, the spatial correlation coefficient in step S2 is expressed as:
Figure BDA0002735955660000091
wherein the content of the first and second substances,
Figure BDA0002735955660000092
for representing spatial correlation coefficients;
t is used to represent time;
Δ t is used to represent the next instant in time;
Figure BDA0002735955660000093
for representing an impulse response;
Figure BDA0002735955660000094
for representing the azimuth of transmission of the signal;
Figure BDA00027359556600000910
for representing the elevation of arrival of the signal;
Figure BDA0002735955660000095
for representing an impulse response;
Figure BDA0002735955660000096
for representing an impulse response;
Figure BDA0002735955660000097
for representing an impulse response;
P(θ-θo) For representing a first power spread angle after vertical polarization;
theta is used for receiving the elevation angle of the signal representing the current state;
θoa reception elevation angle for a signal representing an initial state;
Figure BDA0002735955660000098
for representing a second power spread angle after vertical polarization;
Figure BDA0002735955660000099
for representing the reception azimuth of the signal;
l 'k' is used for representing the total number of antenna array elements possessed in the MIMO multi-antenna array, wherein l 'is used for representing the number of rows in the MIMO multi-antenna array, and k' is used for representing the number of columns in the MIMO multi-antenna array;
sl′k′for representing a received signal vector;
the UE is used for representing a user;
| v | is used to represent the moving speed;
Figure BDA0002735955660000106
for representing the phase difference.
In a preferred embodiment of the present invention, as shown in fig. 5, step S4 includes:
step S41, a first power spread angle corresponding to an arrival elevation angle and a second power spread angle corresponding to an arrival azimuth angle in the three-dimensional MIMO channel model are obtained;
step S42, updating a three-dimensional MIMO channel model according to the first power spread angle and the second power spread angle;
and step S43, obtaining an updated spatial correlation coefficient according to the updated three-dimensional MIMO channel model.
Specifically, after the current position of the user is updated, the arrival elevation angle and the arrival azimuth angle both have corresponding spread angles, so that the constructed three-dimensional MIMO channel model is updated according to the first power spread angle corresponding to the arrival elevation angle and the second power spread angle corresponding to the arrival azimuth angle, the model is spread to the non-stationary three-dimensional MIMO channel model, and the updated spatial correlation coefficient is obtained.
In a preferred embodiment of the present invention, the spatial correlation coefficient in step S4 is expressed as:
Figure BDA0002735955660000101
wherein the content of the first and second substances,
Figure BDA0002735955660000102
for representing spatial correlation coefficients;
Figure BDA0002735955660000103
for representing the azimuth of transmission of the signal;
Figure BDA0002735955660000107
for representing the elevation of arrival of the signal;
Figure BDA0002735955660000104
for representing an impulse response;
Figure BDA0002735955660000105
for representing the azimuth of transmission of the signal;
Figure BDA0002735955660000119
for representing the elevation of arrival of the signal;
Figure BDA0002735955660000111
for representing an impulse response;
Figure BDA0002735955660000112
for representing an impulse response;
Figure BDA0002735955660000113
for representing an impulse response;
P(θ-θo) For representing a first power spread angle after vertical polarization;
theta is used for receiving the elevation angle of the signal representing the current state;
θoa reception elevation angle for a signal representing an initial state;
Figure BDA0002735955660000114
for representing a second power spread angle after vertical polarization;
Figure BDA0002735955660000115
representing the azimuth of reception of the signal.
In a preferred embodiment of the present invention, the MIMO multi-antenna array is configured according to the 802.11ac communication protocol.
In particular, in view of practical use, a 2 × 2 MIMO multi-antenna array may be configured according to the communication protocol of 802.11 ac.
In a preferred embodiment, first, environmental parameters and the like are set, wherein the emission angle is
Figure BDA0002735955660000116
Wherein the transmitting azimuth angle is
Figure BDA0002735955660000117
The transmission elevation angle is theta and the arrival angle is
Figure BDA00027359556600001110
Wherein the azimuth angle of arrival is phi and the elevation angle of arrival is
Figure BDA00027359556600001111
DeterminingThe antenna array element space, the number of array elements is l 'k', and is composed of antenna array elements with the same row and column of l '0, 1 … l' -1 row and k '0, 1 … k' -1, then three-dimensional position coordinates of a base station and a user, and an arrival angle and a departure angle of a visual distance in a spherical coordinate system are determined, and in the determination process, the corresponding relation between a rectangular coordinate system and the spherical coordinate system is firstly determined:
Figure BDA0002735955660000118
then according to the coordinate system, obtaining the antenna array element point of the user receiving end after vertical polarization by the following formula:
Figure BDA0002735955660000121
thereby obtaining another array element in the antenna array element space:
Figure BDA0002735955660000122
the antenna polarization is then generated:
Figure BDA0002735955660000123
wherein the content of the first and second substances,
Figure BDA00027359556600001211
and
Figure BDA0002735955660000124
is in the horizontal direction
Figure BDA0002735955660000125
And the vertical direction
Figure BDA00027359556600001212
A component of polarization response
Figure BDA0002735955660000126
The beam direction is then determined, where the received signal vector is obtained:
Figure BDA0002735955660000127
wherein, the lambda is the wavelength of the carrier wave,
Figure BDA0002735955660000128
the carrier propagation direction.
Specifically, at this time, all antennas in the multi-antenna array are uniquely addressed using the spatially uniform antenna SULA, so as to obtain the updated spatial correlation coefficient.
In this case, as shown in fig. 6-7, the antenna space is composed of one antenna element and another antenna element,
Figure BDA0002735955660000129
for representing the moving direction and | | | v | | | for representing the moving distance of the user, according to the above coefficient, when the traveling direction is equal to 90 degrees, the spatial correlation coefficient may be expressed as:
Figure BDA00027359556600001210
for a user channel in the vertical dimension, location updates may be made based on the nearest neighbor user.
The beneficial effects of the above technical scheme are: and constructing a three-dimensional MIMO channel model, expanding the model into a non-stable three-dimensional MIMO channel model according to the expansion angle corresponding to the arrival elevation angle and the arrival azimuth angle, and taking the characteristics of the elevation angle and the azimuth angle in the antenna array into consideration, wherein the acquired channel parameters can accurately reflect the receiving characteristics of the channel.
While the invention has been described with reference to a preferred embodiment, it will be understood by those skilled in the art that various changes in form and detail may be made therein without departing from the spirit and scope of the invention.

Claims (10)

1. A beamforming method for a multi-antenna array, adapted for a MIMO multi-antenna array, the method comprising:
step S1, constructing a three-dimensional MIMO channel model according to the current positions and the number of the base station and the users;
step S2, obtaining a spatial correlation coefficient according to the three-dimensional MIMO channel model;
step S3, moving the current position of the user in the three-dimensional MIMO channel model;
step S4, updating the spatial correlation coefficient according to the moved current position.
2. The method for beamforming on a multi-antenna array according to claim 1, wherein step S4 includes:
step S41, a first power spread angle corresponding to an arrival elevation angle and a second power spread angle corresponding to an arrival azimuth angle in the three-dimensional MIMO channel model are obtained;
step S42, updating the three-dimensional MIMO channel model according to the first power spread angle and the second power spread angle;
step S43, obtaining the updated spatial correlation coefficient according to the updated three-dimensional MIMO channel model.
3. The method for beamforming on a multi-antenna array according to claim 1, wherein the spatial correlation coefficient in step S4 is represented as:
Figure FDA0003375636640000011
wherein the content of the first and second substances,
Figure FDA0003375636640000012
for representing spatial correlation coefficients;
t is used to represent time;
Δ t is used to represent the next instant in time;
Figure FDA0003375636640000021
for representing the total impulse response in the vertical polarization direction of the received signal of the current antenna array;
Figure FDA0003375636640000022
the receiving azimuth angle is used for representing the receiving signal of the current antenna array in the current state;
Figure FDA00033756366400000210
a receiving elevation angle used for representing the receiving signal of the current antenna array in the current state;
Figure FDA0003375636640000023
for representing the total impulse response in the vertical polarization direction of the received signals of other non-current antenna arrays;
Figure FDA0003375636640000024
for indicating the current antenna array at a receiving azimuth of
Figure FDA0003375636640000025
And a reception elevation angle of
Figure FDA00033756366400000211
Impulse response in the vertical polarization direction of the received signal in time;
Figure FDA0003375636640000026
for other non-current antenna arrays at a receiving azimuth angle of
Figure FDA0003375636640000027
And a reception elevation angle of
Figure FDA00033756366400000212
Impulse response in the vertical polarization direction of the received signal in time;
Figure FDA00033756366400000213
for representing a first power spread angle after vertical polarization;
Figure FDA00033756366400000214
a reception elevation angle of a reception signal of the current antenna array for representing an initial state;
Figure FDA0003375636640000028
for representing a second power spread angle after vertical polarization;
Figure FDA0003375636640000029
a receiving azimuth angle of a receiving signal of the current antenna array for representing an initial state;
l 'k' is used for representing the total number of antenna array elements possessed in the MIMO multi-antenna array, wherein l 'is used for representing the number of rows in the MIMO multi-antenna array, and k' is used for representing the number of columns in the MIMO multi-antenna array;
sl′k′for representing a received signal vector;
the UE is used for representing a user;
| v | is used to represent the moving speed;
Figure FDA0003375636640000031
a phase difference for representing an elevation angle of an arrival direction angle due to a moving speed of | | | v |;
d is used for representing a distance parameter between the base station and the user;
n is used to represent the maximum number of signal transceiving paths from the transmit antenna to the receive antenna.
4. The method for beamforming on a multi-antenna array according to claim 1, wherein the step S1 includes:
step S11, setting current general parameters according to the current position and number of base station and user;
step S12, obtaining the current small-scale parameter according to the general parameter;
step S13, obtaining the current channel parameter according to the small-scale parameter;
and step S14, constructing the three-dimensional MIMO channel model according to the general parameters, the small-scale parameters and the channel parameters.
5. The method for beamforming on a multi-antenna array according to claim 4, wherein step S11 includes:
step S111, presetting environmental parameters, network topology structure parameters and antenna array parameters;
step S112, distributing LOS or NLOS propagation conditions;
in step S113, the relevant parameters are acquired.
6. The method of claim 5, wherein the environmental parameters include current location and number of users and base stations.
7. The method as claimed in claim 5, wherein the network topology parameters include three-dimensional location coordinates of the user and the base station, and the line-of-sight arrival angle and departure angle in the corresponding spherical coordinate system.
8. The method for beamforming on a multi-antenna array according to claim 4, wherein step S12 includes:
step S121, acquiring multipath power;
step S122, obtaining an arrival angle and a departure angle;
step S123, performing random coupling of the arrival angle and the departure angle.
9. The method for beamforming on a multi-antenna array according to claim 1, wherein the spatial correlation coefficient in step S2 is represented as:
Figure FDA0003375636640000041
wherein the content of the first and second substances,
Figure FDA0003375636640000042
for representing spatial correlation coefficients;
Figure FDA0003375636640000043
a receiving azimuth angle used for representing a receiving signal of the current antenna array in an initial state;
Figure FDA00033756366400000411
a receiving elevation angle used for representing a receiving signal of the current antenna array in an initial state;
Figure FDA0003375636640000044
for representing the total impulse response in the vertical polarization direction of the received signal of the current antenna array;
Figure FDA0003375636640000045
a reception azimuth of a reception signal of the current antenna array for representing a current state;
Figure FDA00033756366400000412
a reception elevation angle of a reception signal of the current antenna array for representing a current state;
Figure FDA0003375636640000046
for representing the total impulse response in the vertical polarization direction of the received signals of other non-current antenna arrays;
Figure FDA0003375636640000047
for indicating the current antenna array at a receiving azimuth of
Figure FDA0003375636640000048
And a reception elevation angle of
Figure FDA00033756366400000413
Impulse response in the vertical polarization direction of the received signal in time;
Figure FDA0003375636640000049
for other non-current antenna arrays at a receiving azimuth angle of
Figure FDA00033756366400000410
And a reception elevation angle of
Figure FDA00033756366400000414
Impulse response in the vertical polarization direction of the received signal in time;
Figure FDA00033756366400000415
for representing a first power spread angle after vertical polarization;
Figure FDA0003375636640000051
for representing the second power spread angle after vertical polarization.
10. The method of claim 1, wherein the MIMO multi-antenna array is configured according to an 802.11ac communication protocol.
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