CN107333272A - Optimal glancing angle acquisition methods are covered based on the main line of communication that power lobe rotates - Google Patents

Optimal glancing angle acquisition methods are covered based on the main line of communication that power lobe rotates Download PDF

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CN107333272A
CN107333272A CN201710435948.3A CN201710435948A CN107333272A CN 107333272 A CN107333272 A CN 107333272A CN 201710435948 A CN201710435948 A CN 201710435948A CN 107333272 A CN107333272 A CN 107333272A
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CN107333272B (en
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许光斌
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Huaxin Consulting Co Ltd
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W16/00Network planning, e.g. coverage or traffic planning tools; Network deployment, e.g. resource partitioning or cells structures
    • H04W16/18Network planning tools
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W24/00Supervisory, monitoring or testing arrangements
    • H04W24/02Arrangements for optimising operational condition
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W24/00Supervisory, monitoring or testing arrangements
    • H04W24/08Testing, supervising or monitoring using real traffic
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02DCLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
    • Y02D30/00Reducing energy consumption in communication networks
    • Y02D30/70Reducing energy consumption in communication networks in wireless communication networks

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  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Variable-Direction Aerials And Aerial Arrays (AREA)
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Abstract

The invention discloses a kind of optimal glancing angle acquisition methods of main line of communication covering rotated based on power lobe, comprise the following steps:Measure the vertical range lv of antenna and the main line of communication, the measurement main line of communication and warp angle theta1;Calculate the loss of vertical range spatial and car body penetration loss;Calculate vertical range covering main lobe power angle θmax, power lobe offset function f (θ+△ θ) and critical glancing angle θGA;Calculate main lobe and meet covering index minimum power angle θminWith optimal glancing angle θGA_OPT.The present invention, which has, improves CSAT, the characteristics of improving rate of return on investment.

Description

Optimal glancing angle acquisition methods are covered based on the main line of communication that power lobe rotates
Technical field
The present invention relates to the communication overlay technical field of the main line of communication, antenna and the main line of communication are based on more particularly, to one kind Vertical range, antenna hang high, different incidence angles correspondence car body penetration loss the main line of communication covering rotated based on power lobe Optimal glancing angle acquisition methods.
Background technology
With developing rapidly for the main line of communication construction such as high-speed railway, highway, the communication overlay problem of the main line of communication The hot issue of industry research is also become, but currently without a kind of effective method for calculating optimal glancing angle, to solve this Individual difficult point, so as to propose a kind of optimal glancing angle acquisition methods of main line of communication covering rotated based on power lobe.Due to day The power lobe approximate ellipsoidal of line transmitting, causes main lobe power maximum direction to intersect covering nearby preferably with the main line of communication, But the signal covering of the corresponding overlay area of main lobe power wide-angle point, the especially big situation of glancing angle can not be effectively ensured Under, the signal covering on antennas orthogonal main line of communication periphery is difficult to ensure that on the contrary, causes black phenomenon under lamp.While different glancing angles pair Answer car body loss also different, how effectively to ensure that different glancing angles cause different propagation losses and the corresponding main lobe of penetration loss Different angular power points are corresponding to cover the difficult point for whether meeting demand also as planning glancing angle.
The content of the invention
The goal of the invention of the present invention is to overcome the corresponding overlay area of main lobe power wide-angle point in the prior art Signal covering is poor, especially glancing angle it is big in the case of, the signal on antennas orthogonal main line of communication periphery is covered and is difficult to ensure that on the contrary Not enough the corresponding car body of height, different incidence angles hung based on antenna and main line of communication vertical range, antenna there is provided one kind penetrate damage The optimal glancing angle acquisition methods of main line of communication covering rotated based on power lobe of consumption.
To achieve these goals, the present invention uses following technical scheme:
It is a kind of that optimal glancing angle acquisition methods are covered based on the main line of communication that power lobe rotates, comprise the following steps:
(1-1) measures the vertical range l of antenna and the main line of communicationv, measure the main line of communication and warp angle theta1
The loss of (1-2) measuring and calculating vertical range spatial and car body penetration loss;
(1-3) calculates vertical range covering main lobe power angle θmax, power lobe rotation function f (θ+△ θ) and critical graze Angle θGA
(1-4) calculates main lobe and meets covering index minimum power angle θminWith optimal glancing angle θGA_OPT
The present invention hangs high, different incidence angles by founding mathematical models from antenna and main line of communication vertical range, antenna The factors such as car body penetration loss are set out, and same sector covering signal can be made to meet the continuity of index, so as to ensure that user feels While knowing, optimal glancing angle θ is obtainedGA_OPT
Optimal glancing angle acquisition methods are covered based on the main line of communication that power lobe rotates obtained by the present invention, from power angle Lobe intensity is accounted for, and proposes that brand-new optimal glancing angle determines method.
Optimal glancing angle acquisition methods are covered based on the main line of communication that power lobe rotates obtained by the present invention, considered The different car body loss of the correspondence of power angle lobe intensity and different glancing angles, while meeting covering level index, it is ensured that The maximum effectively coverage distance of single sector, so as to improve customer satisfaction most possibly, identical construction mode, which is reduced, builds website Number, lifts rate of return on investment to greatest extent.
Preferably, step (1-2) comprises the following steps:
(1-2-1) calculates antenna to the path loss L of car body outer surface
L=46.3+33.9log10f-13.82log10hs+(44.9-6.55log10hs)log10l+M;
Wherein:F is signal frequency, and hs is that antenna hangs height, and M is modifying factor, and l is antenna and car body incidence point distance;
(1-2-2) calculates the vertical car body penetration loss S of electromagnetic wave signalP1
Wherein:ω is angular frequency, and μ is magnetic conductivity, and σ is electrical conductivity, ρ1、ρ2Respectively air and car body materials density, ν1、 ν2Respectively propagation rate of the electromagnetic wave in air and car body materials, d is that electromagnetic wave signal penetrates car body by distance.
Preferably, step (1-3) comprises the following steps:
(1-3-1) calculates vertical range covering main lobe power angle
Equation below is set up according to covering level index request, θ is calculated using equationmax,
△ θ=θmax1-π/2;
Wherein:E base stations machine top radiant power, G peak antenna gains, CLFor cable and splicing loss, f (θ) normalization ripples Valve power coefficient, θ lobe power angles,To meet the maximum θ values of condition in bracket, SP1It is lost for vertical car body, S is to cut Tape swapping level surplus, K is that covering requires level value index;
(1-3-2) obtains power lobe rotation function
Power lobe rotation function f (θ+△ θ) is obtained using △ θ;
(1-3-3) calculates vertical range and covers critical glancing angle θGA
θGA=pi/2-(θmax0), wherein, θ0For main lobe radiation angle.
Preferably, step (1-4) comprises the following steps:
Utilize formulaCalculate θmin
Wherein:SP2Car body penetration loss is slanted through for signal,To meet the minimum θ values of condition in bracket;
Make θ0'=θ0- △ θ, utilize θ0' and θminCompare, work as θ0’≥θminWhen, optimal glancing angle θGA_OPT=pi/2-(θmax- θ0);Work as θ0' < θminWhen, according to the symmetry of lobe power angle, optimal glancing angle is in θGAOn the basis of must the anglec of rotation be 2 (θmin0'), i.e. θGA_OPTGA+2(θmin0'), obtain optimal glancing angle θGA_OPT(such as following formula)
Preferably, calculating S using equation belowP1
Wherein, n1、n2Respectively refractive index of the electromagnetic wave in air and car body materials.
Preferably, calculating S using equation belowP2
Wherein, n1、 n2Respectively refractive index of the electromagnetic wave in air and car body materials.
Therefore, the present invention has the advantages that:While meeting covering level index, it is ensured that single sector maximal cover Distance, so as to improve customer satisfaction most possibly, identical construction mode, which is reduced, builds website number, lifting investment to greatest extent Return rate.
Brief description of the drawings
Fig. 1 is a kind of structural representation of the main line of communication with antenna glancing angle of the present invention.
In figure:Antenna 1, car body 2.
Embodiment
The present invention will be further described with reference to the accompanying drawings and detailed description.
Embodiment as shown in Figure 1 is a kind of optimal glancing angle acquisition side of main line of communication covering rotated based on power lobe Method, comprises the following steps:
(1-1) measures the vertical range l of antenna and the main line of communicationv, measure the main line of communication and warp angle theta1
The loss of (1-2) measuring and calculating vertical range spatial and car body penetration loss;
(1-2-1) calculates antenna to the path loss L of car body outer surface
L=46.3+33.9log10f-13.82log10hs+(44.9-6.55log10hs)log10l+M;
Wherein:F is signal frequency, and hs is that antenna hangs height, and M is modifying factor, and l is antenna and car body incidence point distance;
(1-2-2) calculates the vertical car body penetration loss S of electromagnetic wave signalP1
Wherein:ω is angular frequency, and μ is magnetic conductivity, and σ is electrical conductivity, ρ1、ρ2Respectively air and car body materials density, ν1、 ν2Respectively propagation rate of the electromagnetic wave in air and car body materials, d is that electromagnetic wave signal penetrates car body by distance.
(1-3) calculates vertical range covering main lobe power angle θmax, power lobe rotation function f (θ+△ θ) and critical graze Angle θGA
(1-3-1) calculates vertical range covering main lobe power angle
Equation below is set up according to covering level index request, θ is calculated using equationmax,
△ θ=θmax1-π/2;
Wherein:E base stations machine top radiant power, G peak antenna gains, CLFor cable and splicing loss, f (θ) normalization ripples Valve power coefficient, θ lobe power angles,To meet the maximum θ values of condition in bracket, SP1It is lost for vertical car body, S is to cut Tape swapping level surplus, K is that covering requires level value index;
(1-3-2) obtains power lobe rotation function
Power lobe rotation function f (θ+△ θ) is obtained using △ θ;
(1-3-3) calculates vertical range and covers critical glancing angle θGA
θGA=pi/2-(θmax0), wherein, θ0For main lobe radiation angle.
(1-4) calculates main lobe and meets covering index minimum power angle θminWith optimal glancing angle θGA_OPT.Utilize formulaCalculate θmin
Wherein:SP2Car body penetration loss is slanted through for signal,To meet the minimum θ values of condition in bracket;
Make θ0'=θ0- △ θ, utilize θ0' and θminCompare, work as θ0’≥θminWhen, optimal glancing angle θGA_OPT=pi/2-(θmax- θ0);Work as θ0' < θminWhen, according to the symmetry of lobe power angle, optimal glancing angle is in θGAOn the basis of must the anglec of rotation be 2 (θmin0'), i.e. θGA_OPTGA+2(θmin0'), obtain optimal glancing angle θGA_OPT(such as following formula)
Instantiation:
This example include straight distance and angle measurement, the loss of vertical range spatial and car body penetration loss, it is vertical away from Determined from covering main lobe power angle, power lobe rotation function and optimal glancing angle, main lobe meet covering index minimum power angle, The steps such as the effective overlay length of single sector.
It is specifically described below by taking the main line of communication (as shown in Figure 1) as an example.Fig. 1 includes antenna 1 and car body 2.
Step 1:Antenna is measured with main line of communication vertical range and the main line of communication with warp angle
Step 1-1:Measure the vertical range l of antenna and the main line of communicationv=0.2km;
Step 1-2:Measure the angle theta of the main line of communication and warp1=π/6;
Step 2:Vertical range spatial is lost and car body penetration loss
Step 2-1:Antenna is calculated to car body outer surface path loss according to propagation model
L=46.3+33.9log10f-13.82log10hs+(44.9-6.55log10hs)log10l+M;
Wherein:F is signal frequency, f=1920MHz;
Hs is that antenna hangs height, hs=35m;
M is the modifying factor after model is corrected, M=5dB;
L is antenna and car body incidence point apart from l=lv=0.2km;
Step 2-2:The vertical car body penetration loss of electromagnetic wave
Electromagnetic wave can produce absorption and reflection loss after car body, and it is S that it, which is lost,P1
Wherein:ω is angular frequency, π × 1920 of ω=2;
μ is magnetic conductivity, π × 10 of μ=4-7(H/m);
σ is electrical conductivity, σ=57.2 (Sm/mm);
ρ1、ρ2Air and glass of vehicle body density of material, ρ are taken as respectively1=1.293kg/m3, ρ2=2500kg/m3;
n1、n2Refractive index of the difference power taking magnetic wave in air and glass of vehicle body material, n1=1.0003, n2=1.46;
D is that electromagnetic wave signal penetrates car body by distance, d=0.015m;
Step 3:Vertical range covering main lobe power angle, power lobe rotation function and critical glancing angle are determined
Step 3-1:Vertical range covering main lobe power angle is determined
Equation is set up according to covering level index request, is solved according to equation (being shown below) and obtains θmax,
Wherein:E base stations machine top radiant power, E=43dBm;
G peak antenna gains, G=20dB;
CLFor cable and splicing loss, CL=12dB;
F (θ) normalizes lobe power coefficient;
θ0For main lobe radiation angle, θ0=pi/2;
SP1It is lost for vertical car body,
S is switching band level surplus, S=3dB;
K is that covering requires level value index, K=-100dBm;
Numerical value substitutes into formula and obtains θmax=0.818412684 π
Step 3-2:Power lobe rotation function
Calculate △ θ=θmax1The π of π-π of-pi/2=0.818412684/6- pi/2s=0.151746017
Power lobe function f (θ+△ θ) is obtained according to △ θ,
Step 3-3:Vertical range covers critical glancing angle θGAIt is as follows
θGA=pi/2-(θmax0)=pi/2-the π of (0.818412684 π-pi/2)=0.181587316
Step 4:Main lobe meets covering index minimum power angle θminAnd optimal glancing angle θGA_OPTIt is determined that
θ intervals (0, π), step-length is s=0.001
If | E+G+10log10f(θ+Δθ)-(SP2+L+CL)-K | < eps correspondences
Wherein:SP2Car body penetration loss is slanted through for signal;
Take eps=0.002
During θ=0.40794556 π,
E+G+10log10f(θ+Δθ)-(SP2+L+CL)-K=0.001665127 < 0.002
Take θmin=0.40794556 π
Make θ0'=θ0- △ θ, utilize θ0' and θminCompare, work as θ0’≥θminWhen, optimal glancing angle θGA_OPT=pi/2-(θmax- θ0);Work as θ0' < θminWhen, according to the symmetry of lobe power angle, optimal glancing angle is in θGAOn the basis of must the anglec of rotation be 2 (θmin0'), i.e. θGA_OPTGA+2(θmin0'), obtain optimal glancing angle θGA_OPT(such as following formula)
θ0The π of '=pi/2-0.151746017 π=0.348253983
θmin=0.40794556 π
θ0The π < θ of '=0.348253983min=0.40794556 π
θGA_OPTGA+2(θmin0’)
=0.181587316+2 × (0.40794556 π -0.348253983 π) of π
=0.241278894 π
The present invention is accounted for from different power waves valve angle Strength Changes, proposes that the brand-new main line of communication covers optimal graze Angle determines method.
The present invention has considered the different car body loss of correspondence of power lobe intensity and different glancing angles, meets covering While level index, it is ensured that single sector largest coverage distance, so that improve customer satisfaction most possibly, identical Construction Party Formula, which is reduced, builds website number, and rate of return on investment is lifted to greatest extent.
It should be understood that the present embodiment is only illustrative of the invention and is not intended to limit the scope of the invention.In addition, it is to be understood that Read after the content of the invention lectured, those skilled in the art can make various changes or modifications to the present invention, these etc. Valency form equally falls within the application appended claims limited range.

Claims (6)

1. a kind of cover optimal glancing angle acquisition methods based on the main line of communication that power lobe rotates, it is characterized in that, including it is as follows Step:
(1-1) measures the vertical range l of antenna and the main line of communicationv, measure the main line of communication and warp angle theta1
The loss of (1-2) measuring and calculating vertical range spatial and car body penetration loss;
(1-3) calculates vertical range covering main lobe power angle θmax, power lobe rotation function f (θ+△ θ) and critical glancing angle θGA
(1-4) calculates main lobe and meets covering index minimum power angle θminWith optimal glancing angle θGA_OPT
2. according to claim 1 cover optimal glancing angle acquisition methods based on the main line of communication that power lobe rotates, its It is characterized in that step (1-2) comprises the following steps:
(1-2-1) calculates antenna to the path loss L of car body outer surface
L=46.3+33.9log10 f-13.82log10 hs+(44.9-6.55log10 hs)log10l+M;
Wherein:F is signal frequency, and hs is that antenna hangs height, and M is modifying factor, and l is antenna and car body incidence point distance;
(1-2-2) calculates the vertical car body penetration loss S of electromagnetic wave signalP1
<mrow> <msub> <mi>S</mi> <mrow> <mi>P</mi> <mn>1</mn> </mrow> </msub> <mo>=</mo> <mo>-</mo> <mn>20</mn> <msub> <mi>log</mi> <mn>10</mn> </msub> <mrow> <mo>(</mo> <mrow> <mfrac> <mn>1</mn> <mfrac> <mrow> <msup> <mi>e</mi> <mrow> <msqrt> <mrow> <mi>&amp;omega;</mi> <mi>&amp;mu;</mi> <mi>&amp;sigma;</mi> </mrow> </msqrt> <mi>d</mi> </mrow> </msup> <mo>+</mo> <msup> <mi>e</mi> <mrow> <mo>-</mo> <msqrt> <mrow> <mi>&amp;omega;</mi> <mi>&amp;mu;</mi> <mi>&amp;sigma;</mi> </mrow> </msqrt> <mi>d</mi> </mrow> </msup> </mrow> <mn>2</mn> </mfrac> </mfrac> <mo>&amp;times;</mo> <mfrac> <mn>1</mn> <mrow> <mn>1</mn> <mo>+</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mrow> <mo>(</mo> <mfrac> <mrow> <msub> <mi>&amp;rho;</mi> <mn>1</mn> </msub> <msub> <mi>v</mi> <mn>1</mn> </msub> </mrow> <mrow> <msub> <mi>&amp;rho;</mi> <mn>2</mn> </msub> <msub> <mi>v</mi> <mn>2</mn> </msub> </mrow> </mfrac> <mo>+</mo> <mfrac> <mrow> <msub> <mi>&amp;rho;</mi> <mn>2</mn> </msub> <msub> <mi>v</mi> <mn>2</mn> </msub> </mrow> <mrow> <msub> <mi>&amp;rho;</mi> <mn>1</mn> </msub> <msub> <mi>v</mi> <mn>1</mn> </msub> </mrow> </mfrac> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mfrac> <mrow> <msup> <mi>e</mi> <mrow> <msqrt> <mrow> <mi>&amp;omega;</mi> <mi>&amp;mu;</mi> <mi>&amp;sigma;</mi> </mrow> </msqrt> <mi>d</mi> </mrow> </msup> <mo>-</mo> <msup> <mi>e</mi> <mrow> <mo>-</mo> <msqrt> <mrow> <mi>&amp;omega;</mi> <mi>&amp;mu;</mi> <mi>&amp;sigma;</mi> </mrow> </msqrt> <mi>d</mi> </mrow> </msup> </mrow> <mrow> <msup> <mi>e</mi> <mrow> <msqrt> <mrow> <mi>&amp;omega;</mi> <mi>&amp;mu;</mi> <mi>&amp;sigma;</mi> </mrow> </msqrt> <mi>d</mi> </mrow> </msup> <mo>+</mo> <msup> <mi>e</mi> <mrow> <mo>-</mo> <msqrt> <mrow> <mi>&amp;omega;</mi> <mi>&amp;mu;</mi> <mi>&amp;sigma;</mi> </mrow> </msqrt> <mi>d</mi> </mrow> </msup> </mrow> </mfrac> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> </mrow>
Wherein:ω is angular frequency, and μ is magnetic conductivity, and σ is electrical conductivity, ρ1、ρ2Respectively air and car body materials density, ν1、ν2Respectively The propagation rate for being electromagnetic wave in air and car body materials, d is that electromagnetic wave signal penetrates car body by distance.
3. according to claim 2 cover optimal glancing angle acquisition methods based on the main line of communication that power lobe rotates, its It is characterized in that step (1-3) comprises the following steps:
(1-3-1) calculates vertical range covering main lobe power angle
Equation below is set up according to covering level index request, θ is calculated using equationmax,
<mrow> <msub> <mi>&amp;theta;</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>=</mo> <munder> <mi>arg</mi> <mrow> <mi>max</mi> <mi>&amp;theta;</mi> </mrow> </munder> <mo>&amp;lsqb;</mo> <mi>E</mi> <mo>+</mo> <mi>G</mi> <mo>+</mo> <mn>10</mn> <msub> <mi>log</mi> <mn>10</mn> </msub> <mi>f</mi> <mrow> <mo>(</mo> <mi>&amp;theta;</mi> <mo>)</mo> </mrow> <mo>-</mo> <mrow> <mo>(</mo> <msub> <mi>S</mi> <mrow> <mi>P</mi> <mn>1</mn> </mrow> </msub> <mo>+</mo> <mi>L</mi> <mo>+</mo> <msub> <mi>C</mi> <mi>L</mi> </msub> <mo>+</mo> <mi>S</mi> <mo>)</mo> </mrow> <mo>=</mo> <mi>K</mi> <mo>&amp;rsqb;</mo> <mo>,</mo> </mrow>
△ θ=θmax1-π/2;
Wherein:E base stations machine top radiant power, G peak antenna gains, CLFor cable and splicing loss, f (θ) normalization lobe power Coefficient, θ lobe power angles,To meet the maximum θ values of condition in bracket, SP1It is lost for vertical car body, S is powered to switch Flat surplus, K is that covering requires level value index;
(1-3-2) obtains power lobe rotation function
Power lobe rotation function f (θ+△ θ) is obtained using △ θ;
(1-3-3) calculates vertical range and covers critical glancing angle θGA
θGA=pi/2-(θmax0), wherein, θ0For main lobe radiation angle.
4. according to claim 3 cover optimal glancing angle acquisition methods based on the main line of communication that power lobe rotates, its It is characterized in that step (1-4) comprises the following steps:
Utilize formulaCalculate θmin
Wherein:SP2Car body penetration loss is slanted through for signal,To meet the minimum θ values of condition in bracket;
<mrow> <msub> <mi>l</mi> <mi>d</mi> </msub> <mo>=</mo> <mfrac> <mi>d</mi> <mrow> <mi>cos</mi> <mrow> <mo>(</mo> <mi>arcsin</mi> <mfrac> <mrow> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mo>&amp;lsqb;</mo> <mfrac> <mi>&amp;pi;</mi> <mn>2</mn> </mfrac> <mo>-</mo> <mrow> <mo>(</mo> <mi>&amp;theta;</mi> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <mn>1</mn> </msub> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> </mrow> <mfrac> <msub> <mi>n</mi> <mn>2</mn> </msub> <msub> <mi>n</mi> <mn>1</mn> </msub> </mfrac> </mfrac> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow>
<mrow> <msub> <mi>S</mi> <mrow> <mi>P</mi> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mo>-</mo> <mn>20</mn> <msub> <mi>log</mi> <mn>10</mn> </msub> <mrow> <mo>(</mo> <mrow> <mfrac> <mn>1</mn> <mfrac> <mrow> <msup> <mi>e</mi> <mrow> <msqrt> <mrow> <mi>&amp;omega;</mi> <mi>&amp;mu;</mi> <mi>&amp;sigma;</mi> </mrow> </msqrt> <msub> <mi>l</mi> <mi>d</mi> </msub> </mrow> </msup> <mo>+</mo> <msup> <mi>e</mi> <mrow> <mo>-</mo> <msqrt> <mrow> <mi>&amp;omega;</mi> <mi>&amp;mu;</mi> <mi>&amp;sigma;</mi> </mrow> </msqrt> <msub> <mi>l</mi> <mi>d</mi> </msub> </mrow> </msup> </mrow> <mn>2</mn> </mfrac> </mfrac> <mo>&amp;times;</mo> <mfrac> <mn>1</mn> <mrow> <mn>1</mn> <mo>+</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mrow> <mo>(</mo> <mfrac> <mrow> <msub> <mi>&amp;rho;</mi> <mn>1</mn> </msub> <msub> <mi>v</mi> <mn>1</mn> </msub> </mrow> <mrow> <msub> <mi>&amp;rho;</mi> <mn>2</mn> </msub> <msub> <mi>v</mi> <mn>2</mn> </msub> </mrow> </mfrac> <mo>+</mo> <mfrac> <mrow> <msub> <mi>&amp;rho;</mi> <mn>2</mn> </msub> <msub> <mi>v</mi> <mn>2</mn> </msub> </mrow> <mrow> <msub> <mi>&amp;rho;</mi> <mn>1</mn> </msub> <msub> <mi>v</mi> <mn>1</mn> </msub> </mrow> </mfrac> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mfrac> <mrow> <msup> <mi>e</mi> <mrow> <msqrt> <mrow> <mi>&amp;omega;</mi> <mi>&amp;mu;</mi> <mi>&amp;sigma;</mi> </mrow> </msqrt> <msub> <mi>l</mi> <mi>d</mi> </msub> </mrow> </msup> <mo>-</mo> <msup> <mi>e</mi> <mrow> <mo>-</mo> <msqrt> <mrow> <mi>&amp;omega;</mi> <mi>&amp;mu;</mi> <mi>&amp;sigma;</mi> </mrow> </msqrt> <msub> <mi>l</mi> <mi>d</mi> </msub> </mrow> </msup> </mrow> <mrow> <msup> <mi>e</mi> <mrow> <msqrt> <mrow> <mi>&amp;omega;</mi> <mi>&amp;mu;</mi> <mi>&amp;sigma;</mi> </mrow> </msqrt> <msub> <mi>l</mi> <mi>d</mi> </msub> </mrow> </msup> <mo>+</mo> <msup> <mi>e</mi> <mrow> <mo>-</mo> <msqrt> <mrow> <mi>&amp;omega;</mi> <mi>&amp;mu;</mi> <mi>&amp;sigma;</mi> </mrow> </msqrt> <msub> <mi>l</mi> <mi>d</mi> </msub> </mrow> </msup> </mrow> </mfrac> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
Make θ0'=θ0- △ θ, utilize θ0' and θminCompare, work as θ0’≥θminWhen, optimal glancing angle θGA_OPT=pi/2-(θmax0); Work as θ0' < θminWhen, according to the symmetry of lobe power angle, optimal glancing angle is in θGAOn the basis of must the anglec of rotation be 2 (θmin- θ0'), i.e. θGA_OPTGA+2(θmin0'), obtain optimal glancing angle θGA_OPT(such as following formula)
<mrow> <msub> <mi>&amp;theta;</mi> <mrow> <mi>G</mi> <mi>A</mi> <mo>_</mo> <mi>O</mi> <mi>P</mi> <mi>T</mi> </mrow> </msub> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mfrac> <mi>&amp;pi;</mi> <mn>2</mn> </mfrac> <mo>-</mo> <mrow> <mo>(</mo> <msub> <mi>&amp;theta;</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>&amp;theta;</mi> <mn>0</mn> </msub> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <msup> <msub> <mi>&amp;theta;</mi> <mn>0</mn> </msub> <mo>,</mo> </msup> <mo>&amp;GreaterEqual;</mo> <msub> <mi>&amp;theta;</mi> <mrow> <mi>m</mi> <mi>i</mi> <mi>n</mi> </mrow> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>&amp;theta;</mi> <mrow> <mi>G</mi> <mi>A</mi> </mrow> </msub> <mo>+</mo> <mn>2</mn> <mrow> <mo>(</mo> <msub> <mi>&amp;theta;</mi> <mrow> <mi>m</mi> <mi>i</mi> <mi>n</mi> </mrow> </msub> <mo>-</mo> <msup> <msub> <mi>&amp;theta;</mi> <mn>0</mn> </msub> <mo>,</mo> </msup> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <msup> <msub> <mi>&amp;theta;</mi> <mn>0</mn> </msub> <mo>,</mo> </msup> <mo>&lt;</mo> <msub> <mi>&amp;theta;</mi> <mrow> <mi>m</mi> <mi>i</mi> <mi>n</mi> </mrow> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>.</mo> </mrow>
5. according to claim 2 cover optimal glancing angle acquisition methods based on the main line of communication that power lobe rotates, its It is characterized in calculate S using equation belowP1
<mrow> <msub> <mi>S</mi> <mrow> <mi>P</mi> <mn>1</mn> </mrow> </msub> <mo>=</mo> <mo>-</mo> <mn>20</mn> <msub> <mi>log</mi> <mn>10</mn> </msub> <mrow> <mo>(</mo> <mrow> <mfrac> <mn>1</mn> <mfrac> <mrow> <msup> <mi>e</mi> <mrow> <msqrt> <mrow> <mi>&amp;omega;</mi> <mi>&amp;mu;</mi> <mi>&amp;sigma;</mi> </mrow> </msqrt> <mi>d</mi> </mrow> </msup> <mo>+</mo> <msup> <mi>e</mi> <mrow> <mo>-</mo> <msqrt> <mrow> <mi>&amp;omega;</mi> <mi>&amp;mu;</mi> <mi>&amp;sigma;</mi> </mrow> </msqrt> <mi>d</mi> </mrow> </msup> </mrow> <mn>2</mn> </mfrac> </mfrac> <mo>&amp;times;</mo> <mfrac> <mn>1</mn> <mrow> <mn>1</mn> <mo>+</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mrow> <mo>(</mo> <mfrac> <mrow> <msub> <mi>&amp;rho;</mi> <mn>1</mn> </msub> <msub> <mi>n</mi> <mn>2</mn> </msub> </mrow> <mrow> <msub> <mi>&amp;rho;</mi> <mn>2</mn> </msub> <msub> <mi>n</mi> <mn>1</mn> </msub> </mrow> </mfrac> <mo>+</mo> <mfrac> <mrow> <msub> <mi>&amp;rho;</mi> <mn>2</mn> </msub> <msub> <mi>n</mi> <mn>1</mn> </msub> </mrow> <mrow> <msub> <mi>&amp;rho;</mi> <mn>1</mn> </msub> <msub> <mi>n</mi> <mn>2</mn> </msub> </mrow> </mfrac> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mfrac> <mrow> <msup> <mi>e</mi> <mrow> <msqrt> <mrow> <mi>&amp;omega;</mi> <mi>&amp;mu;</mi> <mi>&amp;sigma;</mi> </mrow> </msqrt> <mi>d</mi> </mrow> </msup> <mo>-</mo> <msup> <mi>e</mi> <mrow> <mo>-</mo> <msqrt> <mrow> <mi>&amp;omega;</mi> <mi>&amp;mu;</mi> <mi>&amp;sigma;</mi> </mrow> </msqrt> <mi>d</mi> </mrow> </msup> </mrow> <mrow> <msup> <mi>e</mi> <mrow> <msqrt> <mrow> <mi>&amp;omega;</mi> <mi>&amp;mu;</mi> <mi>&amp;sigma;</mi> </mrow> </msqrt> <mi>d</mi> </mrow> </msup> <mo>+</mo> <msup> <mi>e</mi> <mrow> <mo>-</mo> <msqrt> <mrow> <mi>&amp;omega;</mi> <mi>&amp;mu;</mi> <mi>&amp;sigma;</mi> </mrow> </msqrt> <mi>d</mi> </mrow> </msup> </mrow> </mfrac> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
Wherein, n1、n2Respectively refractive index of the electromagnetic wave in air and car body materials.
6. according to claim 4 cover optimal glancing angle acquisition methods based on the main line of communication that power lobe rotates, its It is characterized in calculate S using equation belowP2
Wherein, n1、n2Respectively refractive index of the electromagnetic wave in air and car body materials.
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