Engee documentation

Angle Doppler Response

Angular Doppler response.

blockType: AngleDopplerResponse

Path in the library:

/Phased Array Systems/SpaceTimeAdaptiveProcessing/Angle Doppler Response

Description

Block Angle Doppler Response calculates the angular Doppler response of the input signal. The output response is a matrix, the rows of which are Doppler bins and the columns are corner bins.

Ports

Entrance

X — input signal
the complex matrix M by N | the complex vector M by N

The input signal is specified as a complex matrix of M by N or a complex vector of M by N. M is the number of elements of the antenna array or sublattice, if the antenna array supports the sublattices indicated on the Sensor Array panel. N is the number of data samples. N must be greater than or equal to two.

Data types: Float64

Support for complex numbers: Yes

PRF — pulse repetition rate
positive scalar

The pulse repetition rate, set as a positive scalar.

Dependencies

To enable this port, set the Specify PRF as parameter to Input port.

Data types: Float64

El — seat angle
scalar

The angle of the place, set as a scalar. The angle of the seat should be in the range from -90° to 90° inclusive.

The units of measurement are degrees.

Dependencies

To enable this port, set the Source of elevation angle parameter to Input port.

Data types: Float64

Output

Resp — response of the Doppler range
the complex matrix P on Q

The angular Doppler response returned as a matrix P by Q. P is set by the Number of Doppler bins parameter, and Q is set by the Number of angle bins parameter.

Data types: Float64

Support for complex numbers: Yes

Ang — values of the response angle of the pass matrix:q[<br>]the real scalar Q by 1

The angular values of the response matrix returned as a real scalar Q by 1. The angular values correspond to the columns of the angular Doppler response matrix. Q is set by the Number of angle bins parameter.

Data types: Float64

Dop — values of the Doppler response matrix
the real vector P by 1

The values of the Doppler response matrix returned as a real vector P by 1. The Doppler values correspond to the rows of the angular Doppler response matrix. P is set by the Number of Doppler bins parameter.

Data types: Float64

Parameters

Main

Signal propagation speed (m/s) — signal propagation speed, m/s
299792458 m/s (default) | positive scalar

The propagation velocity of the signal in the form of a real positive scalar.

The default value is the speed of light.: 299792458 m/s.

The units of measurement are m/s.

Data types: Float16, Float32, Float64, Int8, Int16, Int32, Int64, UInt8, UInt16, UInt32, UInt64

Operating frequency (Hz) — operating frequency of the system, Hz
3e8 (default) | positive scalar

The operating frequency of the system, set as a positive scalar.

The units of measurement are Hz.

Data types: Float16, Float32, Float64, Int8, Int16, Int32, Int64, UInt8, UInt16, UInt32, UInt64, Bool

Specify PRF as — the source of the PRF pass value:q[<br>]Property (by default) | Input port

The source of the PRF value, specified as Property or Input port.

  • Parameter Pulse repetition frequency (Hz) sets the PRF value (i.e. the numeric value of the PRF value).

  • If the Specify PRF as parameter is set to Input port, set the PRF frequency via the input port PRF.

Pulse repetition frequency (Hz) — pulse repetition rate
1 (default) | positive scalar

The pulse repetition rate, PRF, is set as a positive scalar.

The units of measurement are Hz.

Set this parameter to the same value that is set in any library block used in modeling. Waveforms.

Dependencies

To enable this parameter, set the Specify PRF as parameter to Property.

Source of elevation angle — source of pass:q positioning directions[<br>]Property (by default) | Input port

The source of the positioning directions, specified as Property or Input port.

Parameter values Specify direction as:

Property

The Elevation angle (deg) parameter of this block sets the seat angle

Input port

The angle of the seat is set using the input port El

Elevation angle (deg) is the angle of the seat used to calculate the angular Doppler response
0 (default) | scalar

The angle of the location used to calculate the angular Doppler response is given as a scalar. The angle should be in the range from -90° to 90°.

The units of measurement are degrees.

Example: 45

Dependencies

To enable this parameter, set the Source of elevation angle parameter to Property.

Data types: Float64

Number of angle bins — number of angular pass counts:q[<br>]256 (default) | a positive integer greater than two

The number of angular samples used to calculate the angular Doppler response is set as a positive integer greater than two.

Example: 600

Data types: Float64

Number of Doppler bins — number of Doppler pass cells:q[<br>]256 (default) | a positive integer greater than two

The number of samples in the Doppler region used to calculate the angular Doppler response is set as a positive integer greater than two.

Example: 128

Data types: Float64

Sensor Array

Specify sensor array as — method of specifying the antenna array
Array (no subarrays) (default)

The method of setting the antenna array, specified as Array (no subarrays).

  • Array (no subarrays) – using the block parameters to set the antenna array.

Element

Element type — types of elements of the antenna array
Isotropic Antenna (default) | Cardioid Antenna | Cosine Antenna | Custom Antenna | Gaussian Antenna | Sinc Antenna |Omni Microphone | Custom Microphone

The type of antenna or microphone specified as one of the following:

  • Isotropic Antenna

  • Cardioid Antenna

  • Cosine Antenna

  • Custom Antenna

  • Gaussian Antenna

  • Sinc Antenna

  • Omni Microphone

  • Custom Microphone

Operating frequency range (Hz) — operating frequency range of the antenna or microphone
[0 1e20] (default) | A real vector is a 1 by 2 row

Specify the operating frequency range of the antenna or microphone as a 1 by 2 vector in the form [LowerBound,UpperBound]. The element has no response outside this frequency range.

The units of frequency measurement are Hz.

Dependencies

To enable this parameter, set the Element type parameter to Isotropic Antenna, Cardioid Antenna, Cosine Antenna, Gaussian Antenna, Sinc Antenna or Omni Microphone.

Operating frequency vector (Hz) — operating frequency range of custom antenna or microphone elements
[0 1e20] (default) | the real vector is row 1 on L

Specify the frequencies at which you want to set the frequency characteristics of the antenna and microphone, as a vector of lines 1 by L with increasing real values. The antenna or microphone has no response outside the frequency range specified by the minimum and maximum elements of this vector.

The units of frequency measurement are Hz.

Dependencies

To enable this parameter, set the Element type parameter to Custom Antenna or Custom Microphone. Use Frequency responses (dB) to set responses at these frequencies.

Baffle the back of the element — set the response of the rear hemisphere Isotropic Antenna element or Omni Microphone equal to zero
disabled (by default) | included

Select this option to mute the echo of the element.

When retracting, the echo at all azimuth angles exceeding ± 90° from the wide side is set to zero. The wide side is defined as the azimuth angle of 0° and the elevation angle of 0°.

Dependencies

To enable this checkbox, set the Element type parameter to Isotropic Antenna or Omni Microphone.

Exponent of cosine pattern — setting the exponents of azimuthal and altitude cosine radiation patterns
[1.5 1.5] (default) | a non-negative scalar | a real matrix of 1 by 2 non-negative values

Exponentials of the cosine model in the form of a non-negative scalar or a 1 by 2 real matrix of non-negative values.

  • If the Exponent of cosine pattern is a 1 by 2 vector, then the first element is the exponent in the azimuth direction, and the second is in the location direction.

  • If the Exponent of cosine pattern is a scalar, the cosines in the azimuthal and elevation directions are raised to one power.

Dependencies

To enable this parameter, set the Element type parameter to Cosine Antenna.

Frequency responses (dB) — frequency characteristics of the antenna and microphone
[0,0] (default) | the real vector of the series

The frequency response of the user antenna or user microphone for the frequencies defined by the parameter Operating frequency vector (Hz). The dimension of Frequency responses (dB) must match the dimension of the vector specified by the parameter Operating frequency vector (Hz).

Dependencies

To enable this parameter, set the Element type parameter to Custom Antenna or Custom Microphone.

Input Pattern Coordinate System — coordinate system of the custom antenna radiation pattern
az-el (default) | phi-theta

The coordinate system of the custom antenna radiation pattern, set as az-el or phi-theta.

  • If the Input Pattern Coordinate System is set as az-el, use the Azimuth angles (deg) and Elevations angles (deg) parameters to set the coordinates of the directional pattern points.

  • If the Input Pattern Coordinate System is set as phi-theta, use the Phi angles (deg) and Theta angles (deg) parameters to specify the coordinates of the template points.

Dependencies

To enable this parameter, set the Element type parameter to Custom Antenna.

Azimuth angles (deg) — azimuth angles of the radiation pattern of the antenna
[-180:180] (default) | the real vector is row 1 on P

Specify the azimuth angles used to calculate the antenna radiation pattern as a vector of lines 1 by P. P must be greater than 2. The azimuthal angles should lie between -180° and 180° inclusive and be arranged in strictly ascending order.

Dependencies

To enable this parameter, set the Element type parameter to Custom Antenna and for the parameter Input Pattern Coordinate System the value az-el.

Elevation angles (deg) — angles of the antenna radiation point
[-90:90] (default) | the real vector of series 1 on Q

Specify the angles of the location at which the radiation pattern will be calculated, in the form of a vector 1 by Q. Q must be greater than 2.

The units of measurement are degrees.

The angles of the seat should be in the range from -90° to 90° inclusive and arranged in strictly ascending order.

Dependencies

To enable this parameter, set the Element type parameter to Custom Antenna, and for the parameter Input Pattern Coordinate System the value az-el.

Phi Angles (deg) — angular coordinates of the Phi radiation pattern of the user antenna
0:360 (default) | the real vector is row 1 on P

Phi-the angles of the points at which the antenna radiation pattern is set are given as a real vector 1 by P. P must be greater than 2.

The units of measurement are degrees.

The Phi angles should range from 0° to 360° and be arranged in strictly ascending order.

Dependencies

To enable this parameter, set the Element type parameter to Custom Antenna and for the parameter Input Pattern Coordinate System the value phi-theta.

Theta Angles (deg) — angular coordinates of the Theta radiation diagram of the custom pass antenna:q[<br>]0:180 (default) | the real vector is row 1 on Q

Theta-the angles of the points at which the antenna radiation pattern is set are given as a real vector 1 by Q. Q must be greater than 2.

The units of measurement are degrees.

The theta angles should range from 0° to 360° and be arranged in strictly ascending order.

Dependencies

To enable this parameter, set the Element type parameter to Custom Antenna and for the parameter Input Pattern Coordinate System the value phi-theta.

Magnitude pattern (dB) is the magnitude of the radiation pattern of the combined pass antenna:q[<br>]zeros(181,361) (default) | the real matrix Q on P | a real array of Q by P by L

The value of the radiation pattern of the combined antenna, set as a matrix Q by P or an array Q by P by L.

  • If the Input Pattern Coordinate System parameter is set to az-el, Q is equal to the length of the vector specified by the Elevation angles (deg) parameter, and P is equal to the length of the vector specified by the Azimuth angles (deg) parameter.

  • If the Input Pattern Coordinate System parameter is set to phi-theta, Q is equal to the length of the vector specified by the Theta Angles (deg) parameter, and P is equal to the length of the vector specified by the Phi Angles (deg) parameter.

The L value is equal to the length of the Operating frequency vector (Hz) vector.

  • If the Magnitude pattern (dB) parameter is a matrix of Q by P, the same pattern is applied to all frequencies specified in the Operating frequency vector (Hz) parameter.

  • If the Magnitude pattern (dB) parameter is an array of Q by P by L, each page of the Q by P array sets a template for the corresponding frequency specified in the Operating frequency vector (Hz) parameter.

Dependencies

To enable this parameter, set the Element type parameter to Custom Antenna.

Phase pattern (deg) — custom phase diagram of pass antenna radiation:q[<br>]zeros(181,361) (default) | the real matrix Q on P | the real matrix Q by P by L

The radiation phase diagram of a combined antenna, defined as a matrix Q by P or an array Q by P by L.

  • If the Input Pattern Coordinate System parameter is set to az-el, Q is equal to the length of the vector specified by the Elevation angles (deg) parameter, and P is equal to the length of the vector specified by the Azimuth angles (deg) parameter.

  • If the Input Pattern Coordinate System parameter is set to phi-theta, Q is equal to the length of the vector specified by the Theta Angles (deg) parameter, and P is equal to the length of the vector specified by the Phi Angles (deg) parameter.

The L value is equal to the length of the Operating frequency vector (Hz) vector.

  • If the Phase pattern (deg) parameter is a matrix of Q by P, the same pattern is applied to all frequencies specified in the Operating frequency vector (Hz) parameter.

  • If the Phase pattern (deg) parameter is an array of Q by P by L, each page of the Q by P array defines a pattern for the corresponding frequency specified in the Operating frequency vector (Hz) parameter.

Dependencies

To enable this parameter, set the Element type parameter to Custom Antenna.

Align element normal with array normal — rotate the antenna element according to the normal of the antenna array
enabled (by default) | turned off

Select this option to rotate the antenna element template according to the antenna array normal. If the checkbox is not checked, the element’s outline does not rotate.

  • If the antenna is used in an antenna array and the parameter Input Pattern Coordinate System is set to az-el select this checkbox to rotate the element so that the x axis of the element’s coordinate system is directed along the grid normal. If the checkbox is not checked, the element template is used without rotation.

  • If the antenna is used in an antenna array and the parameter Input Pattern Coordinate System is set to phi-theta If this flag is selected, the template rotates so that the z axis of the element’s coordinate system is directed along the grid normal.

Use this parameter together with the Array normal parameter. antenna arrays of URA and UCA.

Dependencies

To enable this parameter, set the Element type parameter to Custom Antenna.

Polar pattern frequencies (Hz) — frequencies of the polar radiation pattern of the microphone
1e3 (default) | the real scalar | the real vector is row 1 on L

The response frequencies of a microphone with a polar pattern, given as a real scalar or vector 1 on . The response frequencies are in the frequency range specified by the Operating frequency vector (Hz) vector.

Dependencies

To enable this parameter, set the Element type parameter to Custom Microphone.

Polar pattern angles (deg) — angles of response of the radiation pattern
[-180:180] (default) | real vector 1 on P

Specify the response angles of the polar radiation pattern in the form of a vector 1 on . The angles are measured from the central axis of the microphone and should be in the range from -180° to 180° inclusive.

Dependencies

To enable this parameter, set the Element type parameter to Custom Microphone.

Polar pattern (dB) — custom polar microphone characteristic
zeros(1,361) (default) | the real matrix L on P

Set the value of the polar characteristic of the user microphone in the form of a matrix on . is the number of frequencies specified in the Polar pattern frequencies (Hz). is the number of angles specified in the Polar pattern angles (deg). Each row of the matrix represents the value of the polar radiation pattern measured at the corresponding frequency specified in Polar pattern frequencies (Hz) and all angles specified in Polar pattern angles (deg).

The pattern is measured in the azimuthal plane. In the azimuthal plane, the elevation angle is 0°, and the central axis of capture is 0° degrees in azimuth and 0° degrees in elevation. The radiation pattern is symmetrical around the central axis. Based on the polar radiation pattern, you can build a microphone radiation pattern in three-dimensional space.

Dependencies

To enable this parameter, set the Element type parameter to Custom Microphone.

Array

Geometry — type of antenna array elements
ULA (default) | URA | UCA | Conformal array

Specify the type of antenna array elements as one of the following:

  • ULA

  • URA

  • UCA

  • Conformal array

Number of elements — the number of elements of the antenna array
2 for ULA antenna array and 5 for UCA antenna arrays (default) | an integer greater than or equal to 2

The number of elements in ULA or UCA antenna arrays, set as an integer greater than or equal to 2.

When setting values for the Specify sensor array as parameter Replicated subarray This parameter is applied to each antenna sublattice.

Dependencies

To enable this parameter, set the Geometry parameter to ULA or UCA.

Element spacing (m) — the distance between the elements of the antenna array
0.5 for ULA antenna array and [0.5,0.5] for URA antenna arrays (default) | positive scalar for ULA or URA antenna array | 2-element vector of positive values for URA antenna arrays

The distance between adjacent elements of the antenna array:

  • ULA – specify the distance between two adjacent antenna array elements as a positive scalar.

  • URA – specify the distance between the elements as a positive scalar or a vector of positive values 1 by 2. If Element spacing (m) is a scalar, the distance between rows and columns is equal. If Element spacing (m) is a vector, then the vector has the form [SpacingBetweenArrayRows,SpacingBetweenArrayColumns].

  • If you set the Specify sensor array as parameter to Replicated subarray This parameter is applied to each antenna sublattice.

Dependencies

To enable this parameter, set the Geometry parameter to ULA or URA.

Array axis — direction of the linear axis ULA
y (default) | x | z

The direction of the ULA linear axis, defined as y, x or z. All elements of the ULA antenna array are evenly distributed along this axis in the local coordinate system of the antenna array.

Dependencies

  • To enable this parameter, set the Geometry parameter to ULA.

  • This option is also enabled if the unit supports only ULA antenna arrays.

Array size — the dimension of the URA pass antenna array:q[<br>][2,2] (default) | a positive integer | vector of positive integers 1 by 2

The dimension of the URA antenna array, specified as a positive integer or a vector of positive integers 1 by 2.

  • If Array size is a 1 by 2 vector, then the vector has the form [NumberOfArrayRows,NumberOfArrayColumns].

  • If Array size is an integer, then the antenna array has the same number of rows and columns.

  • If you set the Specify sensor array as parameter to Replicated subarray This parameter is applied to each antenna array.

For URA, the antenna array elements are indexed from top to bottom in the leftmost column, and then move to the next columns from left to right.

In this picture, the value is [3,2] The Array size parameter creates an antenna array consisting of three rows and two columns.

angle doppler response 1

Dependencies

To enable this parameter, set the Geometry parameter to URA.

Element lattice — grid of positions of URA pass elements:q[<br>]Rectangular (by default) | Triangular

The grid of URA element positions, defined as Rectangular or Triangular.

  • Rectangular – aligns all elements in the row and column directions.

  • Triangular – shifts the elements of an even row of a rectangular grid towards the positive direction of the row axis. The offset is half the distance between the elements according to the size of the row.

Dependencies

To enable this parameter, set the Geometry parameter to URA.

Array normal – direction of the antenna array normal
x for URA antenna array or z for UCA antenna array (default) | y

The direction of the antenna array normal, indicated as x, y or z.

The elements of the flat antenna arrays lie in a plane orthogonal to the selected direction of the antenna array normal.

The viewing directions of the elements are indicated along the direction of the antenna array normal:

The value of the Array Normal parameter

Positions of the elements and directions of sight

x

The elements of the antenna array are located in yz-planes. All the height vectors of the elements are directed along the x axis.

y

The antenna array elements lie in the zx-plane. All the vectors of the axial direction of the elements are directed along the y axis.

z

The elements of the antenna array lie in the xy-plane. All the vectors of the axial direction of the elements are directed along the z axis.

Dependencies

To enable this parameter, set the Geometry parameter to URA or UCA.

Radius of UCA (m) is the radius of the UCA pass antenna array:q[<br>]0.5 (default) | positive scalar

The radius of the UCA antenna array, set as a positive scalar.

Dependencies

To enable this parameter, set the Geometry parameter to UCA.

Element positions (m) — positions of the elements of the conformal antenna array
[0;0;0] (default) | the real matrix is 3 by N

The positions of the elements in the conformal antenna array, given as a real matrix 3 on N, where N is the number of elements in the conformal antenna array. Each column of this matrix represents a coordinate [x;y;z] an element of the antenna array in the local coordinate system of the antenna array. The origin of the local coordinate system is (0,0,0).

The units of measurement are m.

If you set the Specify sensor array as parameter to Replicated subarray This parameter is applied to each antenna sublattice.

Dependencies

To enable this parameter, set the Geometry parameter to Conformal Array.

Element normals (deg) — direction of the normal vectors of the elements of the conformal antenna array
[0;0] (default) | column vector 2 by 1 | the 2 by N matrix

The direction of the normal vectors of the elements in a conformal antenna array, defined as a column vector 2 by 1 or a matrix 2 by N. N indicates the number of elements in the antenna array. For the matrix, each column sets the direction of the normal of the corresponding element in the form [azimuth;elevation] relative to the local coordinate system.

The local coordinate system aligns the positive x-axis with the direction of the normal to the conformal antenna array.

If the parameter value is a column vector 2 by 1, then the same direction is used for all elements of the antenna array.

If the Specify sensor array as parameter is set to Replicated subarray This parameter is applied to each antenna sublattice.

You can use the Element positions (m) parameters and Element normals (deg) to represent any arrangement in which pairs of elements differ by certain transformations. Transformations can combine translation, azimuth rotation, and elevation rotation. However, you cannot use transformations that require rotation relative to the direction of the normal.

Dependencies

To enable this parameter, set the Geometry parameter to Conformal Array.

Taper — complex weighting coefficients for amplitude weighing
1 (default) | the complex scalar | A complex vector is a row of 1 by N | The complex column vector is N by 1

Complex weighting coefficients for antenna array elements, given as a complex scalar, a complex string vector on or a complex column vector on , where It represents the number of antenna array elements. Weighting factors are applied to each antenna element of the antenna array and change the amplitude and phase of the received data.

  • If Taper is a scalar, the same coefficient value is applied to all elements of the antenna array.

  • If Taper is a vector, its own coefficient value is applied to each element of the antenna array.

Subarray definition matrix — definition of elements belonging to the antenna sublattice
The logical matrix

Set the choice of the antenna sublattice as a matrix of M by N. M_ is the number of antenna sublattices, and N_ is the total number of elements in the antenna array.

Each row of the matrix represents an antenna sublattice, and each entry in the row indicates that the element belongs to the antenna array.

If the record is zero, the element does not belong to the antenna sublattice. A non-zero entry is a complex weighting factor applied to the corresponding element. Each row must contain at least one non-zero entry.

The phase center of each antenna sublattice is located in the geometric center of the antenna sublattice. The geometric center of the antenna sublattice depends on the Subarray definition matrix and Geometry parameters.

Dependencies

To enable this parameter, set the Specify sensor array as parameter to Partitioned array.

Subarray steering method — pass:q antenna sublattice control method[<br>]None (by default) | Phase | Time

The antenna sublattice control method, defined as one of:

  • None

  • Phase

  • Time

Meaning Phase or Time opens the Steer input port on the blocks of the narrowband receiving antenna array, narrowband transmitting antenna array, broadband receiving antenna array, broadband transmitting antenna array, block Constant Gamma Clutter and the GPU Constant Gamma Clutter block.

Meaning Custom opens the WS input port on the blocks Narrowband Receive Array, Narrowband Transmit Array, Wideband Receive Array, Wideband Transmit Array, Constant Gamma Clutter and GPU Constant Gamma Clutter.

Dependencies

To enable this parameter, set the Specify sensor array as parameter to Partitioned array or Replicated subarray.

Phase shifter frequency (Hz) — the frequency of the phase shift of the antenna sublattice
3.0e8 (default) | positive real scalar

The operating frequency of phase shifts in the antenna sublattice, given as a positive real scalar.

The units of measurement are Hz.

Dependencies

To enable this parameter, set the Specify sensor array as parameter to Partitioned array or Replicated subarray and for the Subarray steering method parameter, the value Phase.

Number of bits in phase shifters c phase shift quantization bits in the antenna sublattice
0 (default) | a non-negative integer

The phase shift quantization bits in the antenna sublattice, specified as a non-negative integer. A value of zero means that quantization is not performed.

Dependencies

To enable this parameter, set the Specify sensor array as parameter to Partitioned array or Replicated subarray and for the Subarray steering method parameter, the value Phase.

Subarrays layout — specification of the position of the antenna sublattice
Rectangular (by default) | Custom

Specify the location of the replicated antenna sublattices as Rectangular or Custom.

  • If you set the Subarrays layout parameter to Rectangular, use the Grid size and Grid spacing parameters to place the antenna sublattices.

  • If you set the Subarrays layout parameter to Custom, use the Subarray positions (m) parameters and Subarray normals to accommodate antenna sublattices.

Dependencies

To enable this parameter, set the Specify sensor array as parameter to Replicated subarray.

Grid size — dimensions of the rectangular grid of the antenna sublattice
[1,2] (default)

The grid dimension of a rectangular antenna sublattice is set as a single positive integer or as a vector of positive integers 1 by 2 rows.

  • If Grid size is an integer scalar number, then the antenna array has an equal number of antenna sublattices in each row and each column.

  • If Grid size is a 1 by 2 vector of the form [NumberOfRows, NumberOfColumns], then the first entry is the number of antenna sublattices in each column. The second entry is the number of antenna sublattices in each row. The row is located along the local y axis, and the column is located along the local z axis.

The figure shows how an URA antenna sublattice of size 3 by 2 can be reproduced using Grid size [1,2].

angle doppler response 2

Dependencies

To enable this parameter, set the Specify sensor array as parameter to Replicated subarray and for the Subarrays layout parameter, the value Rectangular.

Grid spacing (m) — the distance between the antenna sublattices on a rectangular grid
Auto (default) | positive real scalar | The positive real vector is 1 by 2

The distance between the antenna sublattices on a rectangular grid, defined as a positive real scalar, a vector of 1 by 2 positive real values, or Auto.

The units of measurement are m.

  • If Grid spacing is a scalar, then the distance between rows and the distance between columns will be the same.

  • If Grid spacing is a vector of 1 by 2 rows, then the vector has the form [SpacingBetweenRows,SpacingBetweenColumn]. The first entry specifies the distance between rows along the column. The second entry specifies the distance between the columns along the row.

  • If the Grid spacing (m) parameter is set to Auto replication preserves the distance between the elements of the antenna sublattice for both rows and columns when constructing a complete antenna array. This option is only available if you have set the Geometry parameter to ULA or URA.

Dependencies

To enable this parameter, set the Specify sensor array as parameter to Replicated subarray and for the Subarrays layout parameter, the value Rectangular.

Subarray positions (m) — positions of antenna sublattices
[0,0;0.5,0.5;0,0] ( by default) | the real matrix is 3 by N

The positions of the antenna sublattices in the user grid, defined as a 3 N real matrix, where N is the number of antenna sublattices in the antenna array. Each column of the matrix represents the position of one antenna sublattice in the local coordinate system of the antenna array. The coordinates are expressed as [x; y; z].

The units of measurement are m.

Dependencies

To enable this parameter, set the Specify sensor array as parameter to Replicated subarray and for the Subarrays layout parameter, the value Custom.

Subarray normals — direction of the normal vectors of the antenna sublattices
[0,0;0,0] (default) | the real matrix is 2 by N

Specify the directions of the antenna sublattices normals in the antenna array. The value of this parameter is a matrix 2 by N, where N is the number of antenna sublattices in the antenna array. Each column of the matrix sets the direction of the normal of the corresponding antenna sublattice in the form [azimuth;elevation].

The units of measurement are degrees.

The angles are determined relative to the local coordinate system.

You can use the Subarray positions and Subarray normals parameters to represent any arrangement in which pairs of antenna sublattices differ by certain transformations. Transformations can combine translation, azimuth rotation, and elevation rotation. However, you cannot use transformations that require rotation relative to the normal.

Dependencies

To enable this parameter, set the Specify sensor array as parameter to Replicated subarray, and for the Subarrays layout parameter , the value Custom.