CN108039898A - A kind of full dimension antenna heterogeneous network vertical dimensions beam-forming method - Google Patents

A kind of full dimension antenna heterogeneous network vertical dimensions beam-forming method Download PDF

Info

Publication number
CN108039898A
CN108039898A CN201711236215.3A CN201711236215A CN108039898A CN 108039898 A CN108039898 A CN 108039898A CN 201711236215 A CN201711236215 A CN 201711236215A CN 108039898 A CN108039898 A CN 108039898A
Authority
CN
China
Prior art keywords
mrow
msub
msup
msubsup
mfrac
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN201711236215.3A
Other languages
Chinese (zh)
Other versions
CN108039898B (en
Inventor
赵伟
鲍慧
李保罡
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
North China Electric Power University
Original Assignee
North China Electric Power University
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by North China Electric Power University filed Critical North China Electric Power University
Priority to CN201711236215.3A priority Critical patent/CN108039898B/en
Publication of CN108039898A publication Critical patent/CN108039898A/en
Application granted granted Critical
Publication of CN108039898B publication Critical patent/CN108039898B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Classifications

    • 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
    • H04B7/022—Site diversity; Macro-diversity
    • H04B7/024—Co-operative use of antennas of several sites, e.g. in co-ordinated multipoint or co-operative multiple-input multiple-output [MIMO] systems
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B17/00—Monitoring; Testing
    • H04B17/30—Monitoring; Testing of propagation channels
    • H04B17/309—Measuring or estimating channel quality parameters
    • H04B17/336—Signal-to-interference ratio [SIR] or carrier-to-interference ratio [CIR]
    • 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
    • H04B17/3911—Fading models or fading generators
    • 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
    • H04B7/0456—Selection of precoding matrices or codebooks, e.g. using matrices antenna weighting
    • 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
    • H04B7/06—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
    • H04B7/0615—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
    • H04B7/0617—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal for beam forming
    • 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
    • H04B7/06—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
    • H04B7/0615—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
    • H04B7/0619—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal using feedback from receiving side
    • H04B7/0621—Feedback content
    • H04B7/0632—Channel quality parameters, e.g. channel quality indicator [CQI]

Landscapes

  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Physics & Mathematics (AREA)
  • Electromagnetism (AREA)
  • Quality & Reliability (AREA)
  • Mobile Radio Communication Systems (AREA)

Abstract

The invention discloses one kind to configure in full dimension antenna heterogeneous network, maximizes the beam-forming method of average security speed vertical dimensions.This method considers base station distribution, validated user distribution and eavesdropping user distribution using three-dimensional random distribution first, it is deduced validated user and eavesdrops the signal-to-noise ratio cumulative distribution function of user, and average security speed closure expression formula has been obtained according to cumulative distribution function；So as to according to this closure expression formula, calculate vertical beam forming matrix, maximize average security speed.

Description

A kind of full dimension antenna heterogeneous network vertical dimensions beam-forming method
Technical field
The invention belongs to moving communicating field, more particularly to a kind of full dimension antenna heterogeneous network vertical dimensions beam forming side Method.
Background technology
Heterogeneous network analysis and research at present are typically what is carried out under two-dimensional random distributed model, it is primarily adapted for use in rural area Or the scene such as environs area, the big urban central zone environment of distribution density is not suitable for but.The central area in city, micro- base Stand and user distribution density is big, and vertical dimensions distribution proportion is big；With the heterogeneous network model of plane random distribution Through the deployment that can not accurately analyze heterogeneous network.
Part of cell phone user is as potential listener-in, because the broadcast nature of wireless medium, unwarranted recipient It is that unicast transmission can be eavesdropped to validated user positioned at transmission range, is always one vital in cellular system and safety Problem.In alloisomerism network, the density of base station and user is increasing, vertical direction scope it is also more and more wider, Safety of physical layer problem is also faced with more stern challenge in alloisomerism network.
The content of the invention
In order to improve the isomery cellular network safety of physical layer performance for configuring full dimension multiple antennas, the invention discloses one kind Improve the full dimension antennas orthogonal beam-forming method of micro-base station user's physical layer average security speed.
An embodiment of the present invention provides following technical solution：
A kind of full dimension antenna heterogeneous network vertical dimensions beam-forming method, the described method includes：
Full vertical dimensions beamforming algorithm of the dimension antenna configuration heterogeneous network based on physical layer performance, its feature exist In including the following steps：
Step A, calculates the distribution density λ of macro base stationm, and it is modeled as three-dimensional independent poisson process distribution；
Step B, calculates macro base station and micro-base station signal and the ratio of noise jamming；
Step C, estimates the distribution density λ of listener-ine, and it is modeled as three-dimensional independent poisson process distribution；
Step D, calculates the average security speed of micro-base station user；
The density of step E, fixed micro-base station and macro base station, calculates full dimension Downtilt optimal value.
Wherein, step A is specifically included：
A1, within the scope of the isomery of planning, counts the number of macro base station in cellular cell, and covered according to heterogeneous network Volume, calculates the distribution density λ of macro base stationm；
A2, according to the distribution density λ of macro base stationm, the distribution function of macro base station is built, it meets three-dimensional independent Poisson's point point Cloth.
Wherein, step B is specifically included：
B1, establishes the elevational pattern of full dimension antenna, i.e. angle of declination and the relation of channel fading amplitude,Wherein φ ＜ 0 are the acceptance angles between base station and receiver, φtilt＞ 0 is this A adjusting angle, φ3dBRepresent 3dB beam angles, AdBIt is to reveal purpose cell with the power of external signal；
B2, calculates the information interference-to-noise ratio of the validated user u of micro-base station service, i.e.,Wherein Ip=∑i∈Φp\{0}Pt|hj,0|2G(rj,0,φtilt)Kdi -(α+1), Im=∑k∈Φ mPm|gj,0|2Klj -(α+1), PtIt is the transmission power of micro-base station, PmIt is the transmission power of macro base station, δ2It is noise power.
Wherein, step C is specifically included：
C1, according to historical time data, estimates the distribution density λ of the listener-in of heterogeneous networke；
C2, according to the distribution density λ of listener-ine, the distribution function of macro base station is built, it meets three-dimensional independent Poisson's point point Cloth.
Wherein, step D is specifically included：
D1, calculates the maximum mutual information C of the eavesdropping information of eavesdropping usere, the noise of its corresponding listener-in's reception signal Than for γe；
D2, is calculated validated user Signal to Interference plus Noise Ratio cumulative distribution function, i.e.,
D3, calculates listener-in's Signal to Interference plus Noise Ratio cumulative distribution function, i.e.,
D4, the average security speed for calculating validated user are
Wherein
Wherein, step E is specifically included：
E1, distribution density, the distribution density of micro-base station of fixed macro base station are constant, and think that eavesdropping user distribution is close Spend for constant, ask for optimal channel fading value G-1(x,φtilt)；
E2, according to decline value G-1(x,φtilt), try to achieve optimal angle of declination φtilt。
Compared with prior art, above-mentioned technical proposal has the following advantages：
Present invention utilizes space random geometry and random matrix method, analyzes the honeycomb isomery for configuring full dimension antenna The distribution of the physical layer average transmission rate of net micro-base station user, and according to this distribution, find and enable to user averagely to pass The fading channel function of defeated speed maximum, so as to find vertical beam shaping angle of declination.
Brief description of the drawings
In order to illustrate more clearly about the embodiment of the present invention or technical scheme of the prior art, below will be to embodiment or existing There is attached drawing needed in technology description to be briefly described, it should be apparent that, drawings in the following description are the present invention Some embodiments, for those of ordinary skill in the art, without creative efforts, can also basis These attached drawings obtain other attached drawings.
A kind of full dimension antenna heterogeneous network vertical dimensions beam-forming method that Fig. 1 is provided by one embodiment of the invention Flow diagram.
Embodiment
Just as described in the background section, safety of physical layer how is improved in alloisomerism network as those skilled in the art urgently Problem to be solved.
The core concept of the present invention is that, with the introducing of full dimension multiple antennas, vertical dimensions can be adjusted flexibly, so that The performance of heterogeneous network can be further improved.The present invention is under alloisomerism network context, it is proposed that antenna for base station tilts The method of angle and optimizing safety of physical layer.It with the addition of the antenna tilt angle in vertical direction in alloisomerism cellular network, increase is perpendicular The spatial degrees of freedom of straight dimension, so can preferably track heterogeneous network as the optimization of the wave beam in vertical direction Each user in network, improves safety of physical layer performance.
Referring to Fig. 1, the embodiment of the present invention provides a kind of full dimension antenna heterogeneous network vertical dimensions beam-forming method, described Method includes：
Full vertical dimensions beamforming algorithm of the dimension antenna configuration heterogeneous network based on physical layer performance, its feature exist In including the following steps：
Step A, calculates the distribution density λ of macro base stationm, and it is modeled as three-dimensional independent poisson process distribution；
Step B, calculates macro base station and micro-base station signal and the ratio of noise jamming；
Step C, estimates the distribution density λ of listener-ine, and it is modeled as three-dimensional independent poisson process distribution；
Step D, calculates the average security speed of micro-base station user；
The density of step E, fixed micro-base station and macro base station, calculates full dimension Downtilt optimal value.
Wherein, step A is specifically included：
A1, within the scope of the isomery of planning, counts the number of macro base station in cellular cell, and covered according to heterogeneous network Volume, calculates the distribution density λ of macro base stationm；
A2, according to the distribution density λ of macro base stationm, the distribution function of macro base station is built, it meets three-dimensional independent Poisson's point point Cloth.
Wherein, step B is specifically included：
B1, establishes the elevational pattern of full dimension antenna, i.e. angle of declination and the relation of channel fading amplitude,Wherein φ ＜ 0 are the acceptance angles between base station and receiver, φtilt＞ 0 is this A adjusting angle, φ3dBRepresent 3dB beam angles, AdBIt is to reveal purpose cell with the power of external signal, min () is to be minimized Computing；
B2, calculates the information interference-to-noise ratio of the validated user u of micro-base station service, i.e.,Wherein Ip=∑i∈Φp\{0}Pt|hj,0|2G(rj,0,φtilt)Kdi -(α+1), Im=∑k∈Φ mPm|gj,0|2Klj -(α+1), PtIt is the transmission power of micro-base station, PmIt is the transmission power of macro base station, δ2It is noise power, r represents micro- The distance between base station and targeted customer,PL(r0) be unit length path loss, frequency is Under 2.4GHz, its PL (r0=1m)=40dB, r0For targeted customer and the distance of macro base station, h0,0The channel of useful signal is represented, hj,0Represent interference signal channel, gj,0To eavesdrop subscriber channel, diFor the distance of i-th of interference user, ljUsed for j-th of eavesdropping The distance at family；
Wherein, step C is specifically included：
C1, according to historical time data, estimates the distribution density λ of the listener-in of heterogeneous networke；
C2, according to the distribution density λ of listener-ine, the distribution function of macro base station is built, it meets three-dimensional independent Poisson's point point Cloth.
Wherein, step D is specifically included：
D1, calculates the maximum mutual information C of the eavesdropping information of eavesdropping usere, the noise of its corresponding listener-in's reception signal Than for γe；
D2, is calculated validated user Signal to Interference plus Noise Ratio cumulative distribution function, i.e.,
D3, calculates listener-in's Signal to Interference plus Noise Ratio cumulative distribution function, i.e.,
D4, the average security speed for calculating validated user are
Wherein
Wherein, step E is specifically included：
E1, distribution density, the distribution density of micro-base station of fixed macro base station are constant, and think that eavesdropping user distribution is close Spend for constant, ask for optimal channel fading value G-1(x,φtilt)；
E2, according to decline value G-1(x,φtilt), try to achieve optimal angle of declination φtilt。
Compared with prior art, above-mentioned technical proposal has the following advantages：
Present invention utilizes space random geometry and random matrix method, analyzes the honeycomb isomery for configuring full dimension antenna The distribution of the physical layer average transmission rate of net micro-base station user, and according to this distribution, find and enable to user averagely to pass The fading channel function of defeated speed maximum, so as to find vertical beam shaping angle of declination.
The invention discloses one kind to configure in full dimension antenna heterogeneous network, maximizes the ripple of average security speed vertical dimensions Beam forming method.This method consider first base station distribution, validated user distribution and eavesdropping user distribution using it is three-dimensional with Machine is distributed, and is deduced validated user and is eavesdropped the signal-to-noise ratio cumulative distribution function of user, and is obtained according to cumulative distribution function Average security speed closure expression formula；So as to according to this closure expression formula, calculate vertical beam forming matrix, maximize average Safe rate.
Present invention utilizes space random geometry and random matrix method, analyzes the honeycomb isomery for configuring full dimension antenna The distribution of the physical layer average transmission rate of net micro-base station user, and according to this distribution, find and enable to user averagely to pass The fading channel function of defeated speed maximum, so as to find vertical beam shaping angle of declination.
Various pieces are described by the way of progressive in this specification, and what each some importance illustrated is and other parts Difference, between various pieces identical similar portion mutually referring to.
The foregoing description of the disclosed embodiments, enables professional and technical personnel in the field to realize or use the present invention. A variety of modifications to these embodiments will be apparent for those skilled in the art, as defined herein General Principle can be realized in other embodiments without departing from the spirit or scope of the present invention.Therefore, it is of the invention Embodiment illustrated herein is not intended to be limited to, and is to fit to consistent with the principles and novel features disclosed herein Most wide scope.

Claims (1)

1. vertical dimensions beamforming algorithm of the full dimension antenna configuration heterogeneous network based on physical layer performance, it is characterised in that Include the following steps：
Step A, calculates the distribution density λ of macro base stationm, and it is modeled as three-dimensional independent poisson process distribution；
Step B, calculates macro base station and micro-base station signal and the ratio of noise jamming；
Step C, estimates the distribution density λ of listener-ine, and it is modeled as three-dimensional independent poisson process distribution；
Step D, calculates the average security speed of micro-base station user；
The density of step E, fixed micro-base station and macro base station, calculates full dimension Downtilt optimal value.
Wherein, step A is specifically included：
A1, within the scope of the isomery of planning, counts the number of macro base station in cellular cell, and the body covered according to heterogeneous network Product, calculates the distribution density λ of macro base stationm；
A2, according to the distribution density λ of macro base stationm, the distribution function of macro base station is built, it meets three-dimensional independent Poisson's point distribution.
Wherein, step B is specifically included：
B1, establishes the elevational pattern of full dimension antenna, i.e. angle of declination and the relation of channel fading amplitude,Wherein φ ＜ 0 are the acceptance angles between base station and receiver, φtilt＞ 0 is this A adjusting angle, φ3dBRepresent 3dB beam angles, AdBIt is to reveal purpose cell with the power of external signal；
B2, calculates the information interference-to-noise ratio of the validated user u of micro-base station service, i.e., Wherein Ip=∑i∈Φp\{0}Pt|hj,0|2G(rj,0,φtilt)Kdi -(α+1), Im=∑k∈ΦmPm|gj,0|2Klj -(α+1), PtIt is micro-base station Transmission power, PmIt is the transmission power of macro base station, δ2It is noise power.
Wherein, step C is specifically included：
C1, according to historical time data, estimates the distribution density λ of the listener-in of heterogeneous networke；
C2, according to the distribution density λ of listener-ine, the distribution function of macro base station is built, it meets three-dimensional independent Poisson's point distribution.
Wherein, step D is specifically included：
D1, calculates the maximum mutual information C of the eavesdropping information of eavesdropping usere, the signal-to-noise ratio that its corresponding listener-in receives signal is γe；
D2, is calculated validated user Signal to Interference plus Noise Ratio cumulative distribution function, i.e.,
<mrow> <mtable> <mtr> <mtd> <mrow> <msub> <mi>F</mi> <msub> <mi>&amp;gamma;</mi> <mi>u</mi> </msub> </msub> <mrow> <mo>(</mo> <msub> <mi>&amp;gamma;</mi> <mi>u</mi> </msub> <mo>)</mo> </mrow> <mo>=</mo> <mn>1</mn> <mo>-</mo> <msub> <mo>&amp;Integral;</mo> <mrow> <mi>r</mi> <mo>&amp;GreaterEqual;</mo> <mn>0</mn> </mrow> </msub> <mn>4</mn> <msup> <mi>&amp;pi;r</mi> <mn>2</mn> </msup> <mi>exp</mi> <mrow> <mo>(</mo> <mo>-</mo> <mfrac> <mn>4</mn> <mn>3</mn> </mfrac> <msup> <mi>&amp;pi;&amp;lambda;r</mi> <mn>3</mn> </msup> <mo>)</mo> </mrow> <mi>exp</mi> <mrow> <mo>(</mo> <mo>-</mo> <msub> <mi>&amp;gamma;</mi> <mi>u</mi> </msub> <msubsup> <mi>P</mi> <mi>t</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <msup> <mi>G</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <mo>(</mo> <mrow> <mi>r</mi> <mo>,</mo> <msub> <mi>&amp;phi;</mi> <mrow> <mi>t</mi> <mi>i</mi> <mi>l</mi> <mi>t</mi> </mrow> </msub> </mrow> <mo>)</mo> <msup> <mi>K</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <msup> <mi>r</mi> <mrow> <mo>(</mo> <mi>&amp;alpha;</mi> <mo>+</mo> <mn>1</mn> <mo>)</mo> </mrow> </msup> <msup> <mi>&amp;delta;</mi> <mn>2</mn> </msup> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mi>exp</mi> <mrow> <mo>(</mo> <mo>-</mo> <mn>4</mn> <mi>&amp;pi;</mi> <mo>&amp;lsqb;</mo> <msub> <mi>&amp;lambda;</mi> <mi>p</mi> </msub> <msubsup> <mo>&amp;Integral;</mo> <mi>r</mi> <mi>&amp;infin;</mi> </msubsup> <mfrac> <mrow> <msub> <mi>&amp;lambda;</mi> <mi>e</mi> </msub> <msub> <mi>&amp;gamma;</mi> <mi>u</mi> </msub> <msubsup> <mi>P</mi> <mi>t</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <msup> <mi>v</mi> <mn>2</mn> </msup> </mrow> <mrow> <msub> <mi>&amp;lambda;</mi> <mi>e</mi> </msub> <msub> <mi>&amp;gamma;</mi> <mi>u</mi> </msub> <msubsup> <mi>P</mi> <mi>t</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <mi>v</mi> <mo>/</mo> <mi>r</mi> <mo>)</mo> </mrow> <mrow> <mi>&amp;alpha;</mi> <mo>+</mo> <mn>1</mn> </mrow> </msup> </mrow> </mfrac> <mi>d</mi> <mi>v</mi> <mo>+</mo> <msub> <mi>&amp;lambda;</mi> <mi>m</mi> </msub> <msubsup> <mo>&amp;Integral;</mo> <mi>r</mi> <mi>&amp;infin;</mi> </msubsup> <mfrac> <mrow> <msub> <mi>&amp;lambda;</mi> <mi>e</mi> </msub> <msub> <mi>&amp;gamma;</mi> <mi>u</mi> </msub> <msubsup> <mi>P</mi> <mi>t</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <msup> <mi>v</mi> <mn>2</mn> </msup> </mrow> <mrow> <msub> <mi>&amp;lambda;</mi> <mi>e</mi> </msub> <msub> <mi>&amp;gamma;</mi> <mi>u</mi> </msub> <msup> <msub> <mi>P</mi> <mi>t</mi> </msub> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <mi>v</mi> <mo>/</mo> <mi>r</mi> <mo>)</mo> </mrow> <mrow> <mi>&amp;alpha;</mi> <mo>+</mo> <mn>1</mn> </mrow> </msup> </mrow> </mfrac> <mi>d</mi> <mi>v</mi> <mo>&amp;rsqb;</mo> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> <mo>;</mo> </mrow>
D3, calculates listener-in's Signal to Interference plus Noise Ratio cumulative distribution function, i.e.,
<mrow> <mtable> <mtr> <mtd> <mrow> <msub> <mi>F</mi> <msub> <mi>&amp;gamma;</mi> <mi>e</mi> </msub> </msub> <mrow> <mo>(</mo> <msub> <mi>&amp;gamma;</mi> <mi>u</mi> </msub> <mo>)</mo> </mrow> <mo>=</mo> <mn>1</mn> <mo>-</mo> <msub> <mo>&amp;Integral;</mo> <mrow> <mi>r</mi> <mo>&amp;GreaterEqual;</mo> <mn>0</mn> </mrow> </msub> <mn>4</mn> <msup> <mi>&amp;pi;r</mi> <mn>2</mn> </msup> <mi>exp</mi> <mrow> <mo>(</mo> <mo>-</mo> <mfrac> <mn>4</mn> <mn>3</mn> </mfrac> <msup> <mi>&amp;pi;&amp;lambda;r</mi> <mn>3</mn> </msup> <mo>)</mo> </mrow> <mi>exp</mi> <mrow> <mo>(</mo> <mo>-</mo> <msub> <mi>&amp;gamma;</mi> <mi>u</mi> </msub> <msubsup> <mi>P</mi> <mi>t</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <msup> <mi>K</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <msup> <mi>r</mi> <mrow> <mo>(</mo> <mi>&amp;alpha;</mi> <mo>+</mo> <mn>1</mn> <mo>)</mo> </mrow> </msup> <msup> <mi>&amp;delta;</mi> <mn>2</mn> </msup> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mi>exp</mi> <mrow> <mo>(</mo> <mo>-</mo> <mn>4</mn> <mi>&amp;pi;</mi> <mo>&amp;lsqb;</mo> <msub> <mi>&amp;lambda;</mi> <mi>p</mi> </msub> <msubsup> <mo>&amp;Integral;</mo> <mi>r</mi> <mi>&amp;infin;</mi> </msubsup> <mfrac> <mrow> <msub> <mi>&amp;lambda;</mi> <mi>e</mi> </msub> <msub> <mi>&amp;gamma;</mi> <mi>u</mi> </msub> <msubsup> <mi>P</mi> <mi>t</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <msup> <mi>x</mi> <mn>2</mn> </msup> </mrow> <mrow> <msub> <mi>&amp;lambda;</mi> <mi>e</mi> </msub> <msub> <mi>&amp;gamma;</mi> <mi>u</mi> </msub> <msubsup> <mi>P</mi> <mi>t</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <mi>x</mi> <mo>/</mo> <mi>r</mi> <mo>)</mo> </mrow> <mrow> <mi>&amp;alpha;</mi> <mo>+</mo> <mn>1</mn> </mrow> </msup> </mrow> </mfrac> <mi>d</mi> <mi>x</mi> <mo>+</mo> <msub> <mi>&amp;lambda;</mi> <mi>m</mi> </msub> <msubsup> <mo>&amp;Integral;</mo> <mi>r</mi> <mi>&amp;infin;</mi> </msubsup> <mfrac> <mrow> <msub> <mi>&amp;lambda;</mi> <mi>e</mi> </msub> <msub> <mi>&amp;gamma;</mi> <mi>u</mi> </msub> <msubsup> <mi>P</mi> <mi>t</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <msup> <mi>x</mi> <mn>2</mn> </msup> </mrow> <mrow> <msub> <mi>&amp;lambda;</mi> <mi>e</mi> </msub> <msub> <mi>&amp;gamma;</mi> <mi>u</mi> </msub> <msubsup> <mi>P</mi> <mi>t</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <mi>x</mi> <mo>/</mo> <mi>r</mi> <mo>)</mo> </mrow> <mrow> <mi>&amp;alpha;</mi> <mo>+</mo> <mn>1</mn> </mrow> </msup> </mrow> </mfrac> <mi>d</mi> <mi>x</mi> <mo>&amp;rsqb;</mo> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> </mtable> <mo>;</mo> </mrow>
D4, the average security speed for calculating validated user are
Wherein
<mrow> <mi>&amp;Lambda;</mi> <mo>=</mo> <msup> <mrow> <mo>(</mo> <msub> <mi>&amp;gamma;</mi> <mi>u</mi> </msub> <msubsup> <mi>P</mi> <mi>t</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>)</mo> </mrow> <mfrac> <mn>3</mn> <mrow> <mi>&amp;alpha;</mi> <mo>+</mo> <mn>1</mn> </mrow> </mfrac> </msup> <mo>&amp;lsqb;</mo> <msub> <mi>&amp;lambda;</mi> <mi>p</mi> </msub> <msup> <mrow> <mo>(</mo> <msub> <mi>&amp;lambda;</mi> <mi>s</mi> </msub> <msub> <mi>P</mi> <mi>t</mi> </msub> <mo>)</mo> </mrow> <mfrac> <mn>3</mn> <mrow> <mi>&amp;alpha;</mi> <mo>+</mo> <mn>1</mn> </mrow> </mfrac> </msup> <msubsup> <mo>&amp;Integral;</mo> <msup> <mrow> <mo>(</mo> <msub> <mi>&amp;lambda;</mi> <mi>s</mi> </msub> <msub> <mi>&amp;gamma;</mi> <mi>u</mi> </msub> <msubsup> <mi>P</mi> <mi>t</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>)</mo> </mrow> <mfrac> <mn>3</mn> <mrow> <mi>&amp;alpha;</mi> <mo>+</mo> <mn>1</mn> </mrow> </mfrac> </msup> <mi>&amp;infin;</mi> </msubsup> <mfrac> <mn>1</mn> <mrow> <mn>1</mn> <mo>+</mo> <msub> <mi>&amp;lambda;</mi> <mi>s</mi> </msub> <msub> <mi>&amp;gamma;</mi> <mi>u</mi> </msub> <msubsup> <mi>P</mi> <mi>t</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <msup> <mi>G</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <msub> <mi>&amp;phi;</mi> <mrow> <mi>t</mi> <mi>i</mi> <mi>l</mi> <mi>t</mi> </mrow> </msub> <mo>)</mo> </mrow> <msup> <mi>K</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <msup> <mi>x</mi> <mn>3</mn> </msup> </mrow> </mfrac> <mi>d</mi> <mi>x</mi> <mo>+</mo> <msub> <mi>&amp;lambda;</mi> <mi>m</mi> </msub> <msup> <mrow> <mo>(</mo> <msub> <mi>&amp;lambda;</mi> <mi>s</mi> </msub> <msub> <mi>P</mi> <mi>m</mi> </msub> <mo>)</mo> </mrow> <mfrac> <mn>3</mn> <mrow> <mi>&amp;alpha;</mi> <mo>+</mo> <mn>1</mn> </mrow> </mfrac> </msup> <msubsup> <mo>&amp;Integral;</mo> <msup> <mrow> <mo>(</mo> <msub> <mi>&amp;lambda;</mi> <mi>s</mi> </msub> <msub> <mi>&amp;gamma;</mi> <mi>u</mi> </msub> <msubsup> <mi>P</mi> <mi>m</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>)</mo> </mrow> <mfrac> <mn>3</mn> <mrow> <mi>&amp;alpha;</mi> <mo>+</mo> <mn>1</mn> </mrow> </mfrac> </msup> <mi>&amp;infin;</mi> </msubsup> <mfrac> <mn>1</mn> <mrow> <mn>1</mn> <mo>+</mo> <msub> <mi>&amp;lambda;</mi> <mi>s</mi> </msub> <msub> <mi>&amp;gamma;</mi> <mi>u</mi> </msub> <msup> <msub> <mi>P</mi> <mi>m</mi> </msub> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <msup> <mi>K</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <msup> <mi>x</mi> <mn>3</mn> </msup> </mrow> </mfrac> <mi>d</mi> <mi>x</mi> <mo>&amp;rsqb;</mo> <mo>.</mo> </mrow>
Wherein, step E is specifically included：
E1, distribution density, the distribution density of micro-base station of fixed macro base station are constant, and think that eavesdropping user distribution density is Constant, asks for optimal channel fading value G-1(x,φtilt)；
E2, according to decline value G-1(x,φtilt), try to achieve optimal angle of declination φtilt。
CN201711236215.3A 2017-11-30 2017-11-30 Full-dimensional antenna heterogeneous network vertical dimension beam forming method Active CN108039898B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201711236215.3A CN108039898B (en) 2017-11-30 2017-11-30 Full-dimensional antenna heterogeneous network vertical dimension beam forming method

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201711236215.3A CN108039898B (en) 2017-11-30 2017-11-30 Full-dimensional antenna heterogeneous network vertical dimension beam forming method

Publications (2)

Publication Number Publication Date
CN108039898A true CN108039898A (en) 2018-05-15
CN108039898B CN108039898B (en) 2021-01-29

Family

ID=62094568

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201711236215.3A Active CN108039898B (en) 2017-11-30 2017-11-30 Full-dimensional antenna heterogeneous network vertical dimension beam forming method

Country Status (1)

Country Link
CN (1) CN108039898B (en)

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103532605A (en) * 2013-10-14 2014-01-22 北京邮电大学 3D (three-dimension) cell splitting method and 3D cell splitting system
CN104617994A (en) * 2014-12-22 2015-05-13 复旦大学 3D beam formation method based on horizontal and vertical combined optimization
WO2016065683A1 (en) * 2014-10-27 2016-05-06 西安交通大学 Three-dimensional beam forming design method in multi-user 3d-multiple input multiple output (mimo) system

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103532605A (en) * 2013-10-14 2014-01-22 北京邮电大学 3D (three-dimension) cell splitting method and 3D cell splitting system
WO2016065683A1 (en) * 2014-10-27 2016-05-06 西安交通大学 Three-dimensional beam forming design method in multi-user 3d-multiple input multiple output (mimo) system
CN104617994A (en) * 2014-12-22 2015-05-13 复旦大学 3D beam formation method based on horizontal and vertical combined optimization

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
Title
WOOKBONG LEE ET AL.: "Downlink Vertical Beamforming Designs for Active Antenna Systems", 《IEEE TRANSACTIONS ON COMMUNICATIONS》 *
YONGXU ZHU ET AL.: "Secure Communications in Millimeter Wave Ad Hoc Networks", 《IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS》 *
张仕宇: "一种水平和垂直联合优化的3D波束成形算法", 《复旦学报（自然科学版）》 *

Also Published As

Publication number Publication date
CN108039898B (en) 2021-01-29

Similar Documents

Publication Publication Date Title
CN104796918B (en) The method of wireless communication network
CN103746729B (en) Distributed MIMO system base station side antenna position optimization method
CN104270820B (en) United vertical beam control and power distribution method in the extensive mimo systems of 3D
US9345032B2 (en) Method and apparatus for determining network clusters for wireless backhaul networks
CN102355729A (en) Maximum throughput resource distribution method in cooperative and cognitive single-input multiple-output (SIMO) network
CN104320169B (en) Three-dimensional wave beam Shape design method in multi-user&#39;s 3D mimo systems
CN104852758B (en) Vertical beam shaping method and device under three-dimensional extensive aerial network
CN104779986A (en) Inter-cell interference coordination method adopting three-dimensional beam forming in 3D-MIMO (three dimensional multiple-input multiple-output) system
CN110535518B (en) Optimization design method for wide beam transmission beam forming
Shi et al. Performance analysis for user-centric dense networks with mmWave
CN107437963A (en) Distributed security beam forming method and device based on feedback control
Chen et al. A distributed machine learning-based approach for IRS-enhanced cell-free MIMO networks
Nguyen et al. Quality of service provisioning for D2D users in heterogeneous networks
CN108039898A (en) A kind of full dimension antenna heterogeneous network vertical dimensions beam-forming method
CN104283597B (en) A kind of beam form-endowing method and equipment
Zhang et al. The analysis of coverage and capacity in mmWave VANET
Wang et al. 3D percolation theory-based exposure-path prevention for optimal power-coverage tradeoff in clustered wireless camera sensor networks
Lu et al. Cooperative communication based regular topology to achieve coverage and K-connectivity for WSNs
Lee et al. Handover analysis of macro-assisted small cell networks
CN102438245B (en) Allying method for acknowledging radio communication alliance
Emokpae et al. Signal reflection-enabled geographical routing for underwater sensor networks
CN106452528B (en) The system descending transmission rate method for improving of sector vertical fissure in 3D-MIMO system
Leng et al. Energy efficiency optimization in 3D dense urban scenarios with coordinate multi-point transmission and sleep strategy
Parwez et al. Spectral efficiency self-optimization through dynamic user clustering and beam steering
CN107896375A (en) A kind of full dimension antenna heterogeneous network micro-base station dispositions method

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant