patternElevation
System object:phased.UCA
Package:phased
Plot UCA array directivity or pattern versus elevation
Syntax
patternElevation(sArray,FREQ)
patternElevation(sArray,FREQ,AZ)
patternElevation(sArray,FREQ,AZ,Name,Value)
PAT = patternElevation(___)
Description
patternElevation(
plots the 2-D array directivity pattern versus elevation (in dBi) for the arraysArray
,FREQ
)sArray
at zero degrees azimuth angle. WhenAZ
is a vector, multiple overlaid plots are created. The argumentFREQ
specifies the operating frequency.
The integration used when computing array directivity has a minimum sampling grid of 0.1 degrees. If an array pattern has a beamwidth smaller than this, the directivity value will be inaccurate.
patternElevation(
, in addition, plots the 2-D element directivity pattern versus elevation (in dBi) at the azimuth angle specified bysArray
,FREQ
,AZ
)AZ
. WhenAZ
is a vector, multiple overlaid plots are created.
patternElevation(
plots the array pattern with additional options specified by one or moresArray
,FREQ
,AZ
,Name,Value
)Name,Value
pair arguments.
returns the array pattern.PAT
= patternElevation(___)PAT
is a matrix whose entries represent the pattern at corresponding sampling points specified by the'Elevation'
parameter and theAZ
input argument.
Input Arguments
sArray
—Uniform circular array
System object™
Uniform circular array, specified as aphased.UCA
System object.
Example:sArray= phased.UCA;
FREQ
—Frequency for computing directivity and pattern
positive scalar
Frequency for computing directivity and pattern, specified as a positive scalar. Frequency units are in hertz.
For an antenna or microphone element,
FREQ
must lie within the range of values specified by theFrequencyRange
or theFrequencyVector
property of the element. Otherwise, the element produces no response and the directivity is returned as–Inf
. Most elements use theFrequencyRange
property except forphased.CustomAntennaElement
andphased.CustomMicrophoneElement
, which use theFrequencyVector
property.For an array of elements,
FREQ
必须躺在频率范围内的元素s that make up the array. Otherwise, the array produces no response and the directivity is returned as–Inf
.
Example:1e8
Data Types:double
AZ
—Azimuth angles for computing directivity and pattern
1-by-Nreal-valued row vector
Azimuth angles for computing sensor or array directivities and patterns, specified as a 1-by-Nreal-valued row vector whereNis the number of desired azimuth directions. Angle units are in degrees. The azimuth angle must lie between –180° and 180°.
The azimuth angle is the angle between thex-axis and the projection of the direction vector onto thexyplane. This angle is positive when measured from thex-axis toward they-axis.
Example:[0,10,20]
Data Types:double
Name-Value Arguments
Specify optional pairs of arguments asName1=Value1,...,NameN=ValueN
, whereName
is the argument name andValue
is the corresponding value. Name-value arguments must appear after other arguments, but the order of the pairs does not matter.
Before R2021a, use commas to separate each name and value, and encloseName
in quotes.
Type
—Displayed pattern type
'directivity'
(default) |'efield'
|'power'
|'powerdb'
Displayed pattern type, specified as the comma-separated pair consisting of'Type'
and one of
'directivity'
— directivity pattern measured in dBi.'efield'
— field pattern of the sensor or array. For acoustic sensors, the displayed pattern is for the scalar sound field.'power'
— power pattern of the sensor or array defined as the square of the field pattern.'powerdb'
— power pattern converted to dB.
Example:'powerdb'
Data Types:char
PropagationSpeed
—Signal propagation speed
speed of light(default) |positive scalar
Signal propagation speed, specified as the comma-separated pair consisting of'PropagationSpeed'
and a positive scalar in meters per second.
Example:'PropagationSpeed',physconst('LightSpeed')
Data Types:double
Weights
—Array weights
M1复值列向量
Array weights, specified as the comma-separated pair consisting of“重量”
and anM1复值列向量. Array weights are applied to the elements of the array to produce array steering, tapering, or both. The dimensionMis the number of elements in the array.
Note
Use complex weights to steer the array response toward different directions. You can create weights using thephased.SteeringVector
System object or you can compute your own weights. In general, you apply Hermitian conjugation before using weights in any Phased Array System Toolbox™ function or System object such asphased.Radiator
orphased.Collector
. However, for thedirectivity
,pattern
,patternAzimuth
, andpatternElevation
methods of any array System object use the steering vector without conjugation.
Example:“重量”,ones(10,1)
Data Types:double
Complex Number Support:Yes
Elevation
—Elevation angles
[-90:90]
(default) |1-by-Preal-valued row vector
Elevation angles, specified as the comma-separated pair consisting of'Elevation'
and a 1-by-Preal-valued row vector. Elevation angles define where the array pattern is calculated.
Example:'Elevation',[-90:2:90]
Data Types:double
Parent
—Handle to axis
scalar
Handle to the axes along which the array geometry is displayed specified as a scalar.
Output Arguments
PAT
— Array directivity or pattern
L-by-Nreal-valued matrix
Array directivity or pattern, returned as anL-by-Nreal-valued matrix. The dimensionLis the number of elevation angles determined by the'Elevation'
name-value pair argument. The dimensionNis the number of azimuth angles determined by theAZ
argument.
Examples
Plot Elevation Pattern of UCA
Create a 6-element UCA of short-dipole antenna elements. Design the array to have a radius of 0.5 meters. Plot an elevation cut of directivity at 0 and 90 degrees azimuth. Assume the operating frequency is 500 MHz.
fc = 500e6; sCDant = phased.ShortDipoleAntennaElement('FrequencyRange',[100,900]*1e6); sUCA = phased.UCA('NumElements',6,'Radius',0.5,'Element',sCDant); patternElevation(sUCA,fc,[0 90])
You can plot a smaller range of elevation angles by setting theElevation
property.
patternElevation(sUCA,fc,[0 45],'Elevation',[0:90])
More About
Directivity
Directivity describes the directionality of the radiation pattern of a sensor element or array of sensor elements.
Higher directivity is desired when you want to transmit more radiation in a specific direction. Directivity is the ratio of the transmitted radiant intensity in a specified direction to the radiant intensity transmitted by an isotropic radiator with the same total transmitted power
whereUrad(θ,φ)is the radiant intensity of a transmitter in the direction(θ,φ)andPtotalis the total power transmitted by an isotropic radiator. For a receiving element or array, directivity measures the sensitivity toward radiation arriving from a specific direction. The principle of reciprocity shows that the directivity of an element or array used for reception equals the directivity of the same element or array used for transmission. When converted to decibels, the directivity is denoted asdBi. For information on directivity, read the notes onElement DirectivityandArray Directivity.
中on History
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