Engee documentation

Wideband Transmit Array

Transmitting broadband antenna array.

blockType: WidebandTransmitArray

wideband transmit array

Path in the library:

/Phased Array Systems/Transmitters and Receivers/Wideband Transmit Array

Description

Block Wideband Transmit Array transmits broadband signals from elements of the sensor array. The unit divides the transmitted signals into narrow-band frequency sub-bands, and then applies a phase shift for each sub-band in accordance with the radiation direction. The resulting subband signals are then combined to form an output signal.

Ports

Entrance

X — transmitted pass signals:q[<br>] complex vector M by 1 | complex matrix M by N

The transmitted signal is in the form of a complex column vector M by 1 or a complex matrix M by N. The value M is the duration of the signal, and N is the number of elements of the array (or subarray, if subarrays are supported).

Dimension The signal

Column vector M by 1

The same signal is emitted from all elements of the array (subarray).

The M by N matrix

Each column corresponds to the signal emitted by the corresponding element of the array (subarray).

The size of the first dimension of the input matrix can be varied to simulate the changing duration of the signal. A change in size may occur, for example, in the case of a pulse signal with a variable pulse repetition rate.

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

Support for complex numbers: Yes

Ang — bearings of the received input signals
real matrix 2 on L

The directions of arrival of the signals, given in the form of a real matrix 2 by L. Each column sets the bearing in the form of [AzimuthAngle;ElevationAngle]. The azimuth angle should be in the range of −180° to 180° inclusive. The elevation angle should be in the range of −90° up to and including 90°. The units of measurement are degrees.

Example: [30,20;45,0]

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

Support for complex numbers: Yes

W — weights of elements or subarrays of
column vector N by 1

Weights of elements or subarrays, specified as an N-by—1 complex column vector, where N is the number of array elements (or subarrays, if the array supports subarrays).

Dependencies

To use this port, select the Enable weights input checkbox.

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

Support for complex numbers: Yes

WS — input port for weights of elements of the pass subarray:q[<br>] complex matrix NSE by N | matrix 1 by N

The weights of the elements of the subarray, given as a complex matrix NSE by N or a 1 by N matrix, where N is the number of subarrays.

Table 1. Weights of the subarray elements
Array Property Weights of the subarray

Duplicate Subarray (Replicated Subarray)

All the subarrays have the same size. Then the weights of the subarrays form a matrix NSE by N. NSE is the number of elements in each subarray, N is the number of subarrays. Each WS column sets the weights for the corresponding subarray.

Partial Array (Partitioned Array)

The subarrays may not have the same size. In this case, the weights of the subarrays can be set as:

  • The matrix is NSE by N, where NSE is the number of elements in the largest subarray. The first Q entries in each column are the weights of the elements for the subarray, where Q is the number of elements in the subarray.

  • The matrix is 1 by N. Each cell contains a vector column of weights for the corresponding subarray. Column vectors have a length equal to the number of elements in the corresponding subarray.

Dependencies

To use this port, set the Specify sensor array as parameter to Replicated subarray or Partitioned array', and the `Custom value for the Subarray steering method parameter.

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

Steer — angle of rotation of the pass subarray:q[<br>] real vector-column 2 by 1

The angle of rotation of the subarray, set as a real column vector of length 2. The vector has the form [azimuthAngle;elevationAngle]. The azimuth angle should be in the range of −180° to 180° inclusive. The elevation angle should be in the range of −90° up to and including 90°. The units of measurement are degrees.

Dependencies

To use this port, set the Subarray steering method parameter to Phase or Time.

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

Output

Out — pass output signal:q[<br>] complex matrix M on L

The output signals are specified as a complex matrix M by L, where L is the number of radiation angles ANG, and M is the duration of the input signal X.

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

Support for complex numbers: Yes

Parameters

Main

Propagation speed (m/s) — speed of propagation of the pass signal:q[<br>] 3e8 (default) | positive scalar

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

The default value is the speed of light: `3e8'.

The units of measurement are m/s.

Inherit sample rate — inheritance of the sample rate
enabled (by default) | disabled

Check the box to inherit the sampling rate from higher-level blocks. Otherwise, set the sampling rate using the Sample rate (Hz) parameter.

Sample rate (Hz) — pass sampling rate:q[<br>] 1e6 (default) | positive scalar

The sampling frequency of the signal in the form of a positive scalar. The units of measurement are Hz.

Dependencies

To use this option, uncheck the Inherit sample rate checkbox.

Assume modulated input — enable modulated input
disabled (by default) | enabled

Check this box to indicate that the input signal is demodulated on the carrier frequency.

Carrier frequency — pass carrier frequency:q[<br>] 1e9 (default) | scalar

The carrier frequency, set as a scalar.

The units of measurement are Hz.

Dependencies

To use this option, select the Assume modulated input checkbox.

Number of subbands — number of narrowband pass subbands:q[<br>] 64 (default) | positive integer

The number of processing sub-ranges, set as a positive integer.

Sensor gain measure — gain factor of the pass sensor:q[<br>] dB (default) | dBi

Sensor gain in dB or `dBi'.

  • When setting the value to dB, the input signal power is scaled by the sensor power (in dB) in the appropriate direction and then summed.

  • When setting the value to dBi', the input signal power is scaled according to the radiation pattern (in dBi) in the appropriate direction, and then combined. This parameter is useful when it is necessary to compare the results with the values calculated from the radar equation, which uses the value `dBi to set the antenna gain. Calculations using the dBi parameter are expensive, since integration in all directions is required to calculate the total radiated sensor power.

The default value is `dB'.

Enable weights input — enable the input of weights
disabled (by default) | enabled

Select this option to set the weights of the array using the input port W. The input port is used only when the box is checked.

Sensor Array

Specify sensor array as — method for specifying the pass array:q[<br>] Array (no subarrays) (default) | Single element | Partitioned array | Replicated subarray

Specify a sensor element or array of sensors. The sensor array can also contain subarrays or be split into parts.

Available values:

  • Single element

  • Array (no subarrays)

  • Partitioned array

  • Replicated subarray

Element

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

The type of antenna array element.

Available values:

  • 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 pass antenna array element:q[<br>] [0,1e20] (default) | a real vector is a 1 by 2 row

The range of operating frequencies of the antenna array element in the form of a vector row 1 by 2 in the form of [LowerBound,UpperBound]. The element has no response outside this frequency range. The units of frequency measurement are Hz.

Dependencies

To use this parameter, set the Element type parameter to Isotropic Antenna, Cosine Antenna, or 'Omni Microphone'.

Baffle the back of the element — accounting for radiation through the rear beam of the radiation pattern into the rear hemisphere of the Isotropic Antenna element or Omni Microphone'
`disabled (by default) | enabled

Set this flag to exclude radiation to the rear hemisphere. The response from the rear hemisphere at all azimuth angles outside the ±90° range from the wide side is set to zero. The wide-angle direction is defined as the azimuth angle of 0° and the elevation angle of 0°.

Dependencies

To use this parameter, set the Element type parameter to Isotropic Antenna or `Omni Microphone'.

Null axis direction — the direction of the axis along the zero radiation.
-x (default) | +x | +y | -y | +z | -z

The direction of the axis is along the zero radiation.

Dependencies

To use this parameter, set the Element type parameter to Cardioid Antenna.

Exponent of cosine pattern — exponent exponent when defining the shape of a cosine radiation pattern
[1.5, 1.5] (default) | non-negative scalar | a real matrix of non-negative values of 1 by 2

The exponent of the exponent 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 direction of the azimuth, and the second is in the direction of the angle of the place. With a scalar value of this parameter, the cosines in the azimuthal and elevation directions are raised to one power.

Dependencies

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

Operating frequency vector (Hz) — array of operating frequencies of the antenna array element
[0,1e20] (default) | real vector is a string

The array of operating frequencies of the antenna array element in the form of a vector row 1 on increasing actual values. The element has no response beyond the frequency range specified by the minimum and maximum elements of this vector. The units of frequency measurement are Hz.

Dependencies

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

Frequency responses (dB) — frequency responses of the antenna array element
[0,0] (default)| real vector string

The frequency response of the user elements of the antenna arrays is determined by the parameter Operating frequency vector (Hz). The dimensions of the Frequency responses (dB) vector must match the dimensions of the vector specified by the Operating frequency vector (Hz) parameter.

Dependencies

To use this parameter, set the Element type parameter to Custom Antenna or `Custom Microphone'.

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

The choice of the coordinate system of the radiation pattern of the user antenna is indicated by az-el or phi-theta'. When selecting `az-el, the Azimuth angles (deg) and Elevations angles (deg) parameters are used to set the coordinates of the directional pattern points. When specifying the phi-theta parameter, the Phi angle (deg) and Theta angles (deg) parameters are used to set the coordinates of the part points.

Dependencies

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

Azimuth angles (deg) — azimuth angles of the antenna radiation pattern
[-180:180] (default) | real vector is a string

The values of the azimuth angles, which will be used to calculate the antenna pattern in the form of a vector row 1 on . it must be more than 2. The azimuth angles should be in the range of −180° up to 180° inclusive and arranged in strictly ascending order.

Dependencies

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

Elevation angles (deg) — values of the angles of the antenna pattern position
[-90:90] (default) | real vector is a string

The values of the angles of the location at which it is necessary to calculate the radiation pattern in the form of a vector 1 on . it must be more than 2. The units of measurement of angles are degrees. Elevation angles should be in the range of −90° to 90° inclusive and arranged in strictly ascending order.

Dependencies

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

Phi Angles (deg) — values of the Phi angles of the antenna radiation pattern
[0:360] (default) | real vector is row 1 on P

The angular coordinates of the Phi points where the antenna radiation pattern is set. They are defined as a real vector-row 1 on . it must be more than 2. The units of measurement of angles are degrees. The values of the Phi angles should be in the range from 0° to 360° and arranged in strictly ascending order.

Dependencies

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

Theta Angles (deg) — values of the angles of the Theta radiation pattern of the antenna
[0:180] (default) | real vector-row 1 on Q

The angular coordinates of the Theta points where the antenna radiation pattern is set. They are defined as a real vector-row 1 on . it must be more than 2. The units of measurement of angles are degrees. The values of the Theta angles must range from 0° to 180° and be arranged in strictly ascending order.

Dependencies

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

Magnitude pattern (dB) — the magnitude of the antenna radiation pattern
zeros(181.361) (default) | real matrix Q on P | real array Q on P on L

The value of the antenna pattern, set as a matrix on or an array on on .

  • If the Input Pattern Coordinate System parameter is set to `az-el', then is equal to the length of the vector defined by the Elevation angles (deg) parameter, in turn, — the length of the vector defined by the Azimuth angles (deg) parameter.

  • If the Input Pattern Coordinate System parameter is set to `phi-theta', then is equal to the length of the vector defined by the parameter Theta Angles (deg), in turn, — the length of the vector defined by the Phi Angles (deg) parameter.

Value is equal to the value of the Operating frequency vector (Hz) parameter.

  • If the value of this parameter is a matrix on , then the same scheme is applied for all frequencies specified in the parameter Operating frequency vector (Hz).

  • If the value is an array on on , each element on The array defines a template for the corresponding frequency specified in the parameter Operating frequency vector (Hz).

Dependencies

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

Phase pattern (deg) — phase of the radiation pattern of the user antenna
zeros(181,361) (default) | real matrix Q on P | real array Q on P on L

The phase radiation pattern of the combined antenna, defined as a matrix on or an array on on .

  • If the Input Pattern Coordinate System parameter is set to `az-el', then is equal to the length of the vector defined by the Elevation angles (deg) parameter, in turn, — the length of the vector defined by the Azimuth angles (deg) parameter.

  • If the Input Pattern Coordinate System parameter is set to `phi-theta', then is equal to the length of the vector defined by the parameter Theta Angles (deg), in turn, — the length of the vector defined by the Phi Angles (deg) parameter.

Value is equal to the value of the Operating frequency vector (Hz) parameter.

  • If the value of this parameter is a matrix on , then the same scheme is applied for all frequencies specified in the parameter Operating frequency vector (Hz).

  • If the value is an array on on , each element on The array defines a template for the corresponding frequency specified in the parameter Operating frequency vector (Hz).

Dependencies

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

Align element normal with array normal — align the normal of the antenna array element relative to the grid normal
enabled (by default) | disabled

If the parameter value is enabled, the radiation pattern of the antenna element is rotated to align with the normal of the array. If it is off, then the drawing of the element does not rotate.

If the antenna is used in an antenna array and the Input Pattern Coordinate System parameter has the value az-el, checking this box rotates the radiation pattern so that the x-axis of the element coordinate system points along the normal of the array. If there is no selection, the element template is used without rotation.

If the antenna is used in an antenna array and the Input Pattern Coordinate System parameter has the value phi-theta, checking this box rotates the radiation pattern so that the z axis of the element coordinate system points along the normal of the array.

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

Dependencies

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

Radiation pattern beamwidth (deg) — the beam width of the antenna pattern
[10, 10] (default) | real scalar | a real vector is a 1 by 2 row

The beam width of the antenna pattern in degrees.

Dependencies

To use this parameter, set the Element type parameter to Gaussian Antenna.

Polar pattern frequencies (Hz) — frequency values for the polar pattern of the microphone
1e3 (default) | real scalar | real vector-row 1 on L

The frequency values for the polar radiation pattern are set as a real scalar or a real vector-row 1 on . The frequencies are in the frequency range specified by the parameter Operating frequency vector (Hz).

Dependencies

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

Polar pattern angles (deg) — angle values for the polar radiation pattern of the microphone
[-180:180] (default) | real vector is row 1 on P

The angle values for the polar radiation pattern of the microphone are set as a vector . The angles are measured from the central axis of the microphone and should be in the range of −180° to 180° inclusive.

Dependencies

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

Polar pattern (dB) — polar directional pattern of the microphone
zeros(1,361) (default) | real vector-row 1 on L

Set the value of the polar radiation pattern of the user microphone element in the form of a real vector-row 1 on , where — the number of frequencies specified in the parameter Polar pattern frequencies (Hz). The string represents the value of the polar radiation pattern measured at the corresponding frequency specified in the Polar pattern frequencies (Hz). The radiation pattern is measured in the azimuthal plane. In the azimuthal plane, the elevation angle is 0°, and the central axis is 0° in azimuth and 0° in elevation. The polar radiation pattern is symmetrical around the central axis. Based on the polar diagram, it is possible to construct a microphone directional pattern in three-dimensional space.

Dependencies

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

Array

Geometry — geometry of the pass array:q[<br>] ULA (default) | URA | UCA | Conformal Array

The geometry of the array, set as:

  • 'ULA' is a uniform linear array.

  • `URA' is a uniform rectangular array.

  • 'UCA' is a uniform ring array.

  • `Conformal Array' — arbitrary arrangement of elements.

Number of elements — number of elements of the pass array:q[<br>] 2 (default) | an integer greater than or equal to 2

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

Dependencies

To use this parameter, set the Geometry parameter to ULA or `UCA'.

If the Specify sensor array as parameter is set to Replicated subarray, this parameter is applied to the subarray.

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

The dimensions of the URA 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 array has the same number of rows and columns.

To do this, the array elements are indexed from top to bottom in the leftmost column, and then move to the next columns from left to right. The figure shows an array for which the Array size parameter has the value [3,2], that is, it has three rows and two columns.

mvdr beamformer 1

Dependencies

To use this parameter, set the Geometry parameter to `URA'.

If the Specify sensor array as parameter is set to Replicated subarray, this parameter is applied to the subarray.

Element spacing (m) — distance between pass elements:q[<br>] 0.5 for ULA arrays and [0.5,0.5] for URA arrays (default) | positive scalar | a 2-by-1 vector of positive values for URA arrays

The distance between adjacent array elements:

  • 'ULA` — specify the distance between two adjacent array elements as a positive scalar.

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

Dependencies

To use this parameter, set the Geometry parameter to ULA or `URA'.

If the Specify sensor array as parameter is set to Replicated subarray, this parameter is applied to the subarray.

Array axis — direction of the ULA pass linear axis:q[<br>] y (default) | x | z

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

Dependencies

To use this parameter, set the Geometry parameter to ULA or the block supports only ULA arrays.

Array normal — the direction of the normal of the pass array:q[<br>] x for URA arrays or z for UCA arrays (default) | y

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

All elements of the URA and UCA arrays are placed in the yz, zx or xy planes, respectively, of the array coordinate system.

Dependencies

To use this parameter, set the Geometry parameter to URA or `UCA'.

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

The radius of the UCA array, a positive scalar.

Dependencies

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

Taper — changing the radiation pattern of the elements of the antenna array
1 (default) | complex scalar | complex vector

The change in the radiation pattern of the antenna array elements is set as a complex scalar or a complex vector 1 by , where — the number of antenna array elements.

The coefficients that change the radiation pattern, also called element weights, multiply the responses of the antenna array elements. The coefficients change both the amplitude and the phase of the response to reduce the side lobes or the direction of the main axis of the response.

If the value of the Taper parameter is a scalar, then the same weight is applied to each element. If Taper is a vector, then a weight from the vector is applied to the corresponding element of the antenna array. The number of scales must correspond to the number of antenna array elements.

When setting the Specify sensor array as parameter to Replicated subarray, this parameter is applied to each sublattice.

  • For an array of type ULA or UCA, set the taper of the element as a complex scalar or a complex vector string of size 1 by N, where N represents the number of elements in the array. If Taper is a scalar, the same weight is applied to each element. If Taper is a vector, the weight from the weight vector is applied to the corresponding element. A weight must be assigned to each element of the sensor array.

  • For an array of type URA, specify the taper of the element. It is defined as a complex scalar or as a complex matrix M by N. In this matrix, M is the number of elements along the z axis, and N is the number of elements along the y axis. M and N correspond to the values of [NumberofArrayRows,NumberOfArrayColumns] in the Array size matrix. If Taper is a scalar, the same weight is applied to each element. If Taper is a matrix, the weight from the weight matrix is applied to the corresponding element. A weight must be assigned to each element of the sensor array.

  • For an array of the Conformal Array type, the taper of an element is set as a complex scalar or a complex vector 1 by N, where N is the number of elements in the array, determined by the size of the vector Element positions. If Taper is a scalar, the same weight is applied to each element. If Taper is a vector, the weight from the vector of weights is applied to the corresponding element. A weight must be assigned to each element of the sensor array.

Element lattice — the shape of the position of the elements URA'
`Rectangular (default) | Triangular

The shape of the positions of the URA elements, set 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 use this parameter, set the Geometry parameter to `URA'.

If the Specify sensor array as parameter is set to Replicated subarray, this parameter is applied to the subarray.

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

The positions of the elements of an array of type Conformal Array, specified as a matrix of real values 3 by N, where N is the number of elements in the conformal array. Each column of this matrix represents the position [x;y;z] of an array element in the local coordinate system of the array. The origin of the local coordinate system is (0,0,0). The units of measurement are meters.

Dependencies

To use this parameter, set the Geometry parameter to `Conformal Array'.

If the Specify sensor array as parameter is set to Replicated subarray, this parameter is applied to the subarray.

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

The direction of the normal vectors of the elements of a conformal array, defined as a 2-by-1 column vector or a 2-by-N matrix. N means the number of elements in the array. For the matrix, each column specifies the direction of the normal of the corresponding element in the form of [azimuth;elevation] relative to the local coordinate system. In the local coordinate system, the positive x-axis coincides with the direction of the normal to the conformal array. If the parameter value is a 2-by-1 column vector, then the same pointing direction is used for all elements of the array.

Parameters of Element positions (m) and Element normals (deg) can be used to represent any arrangement in which pairs of elements differ from each other by certain transformations. These transformations can include translation, azimuth rotation, and elevation rotation. However, transformations that require rotation relative to the normal direction cannot be used.

Dependencies

To use this parameter, set the Geometry parameter to `Conformal Array'.

If the Specify sensor array as parameter is set to Replicated subarray, this parameter is applied to the subarray.

Subarray definition matrix — determining whether elements belong to the subarrays of
logical matrix M by N

Set the selection of the subarray as a matrix M by N. M is the number of subarrays, N is the total number of elements in the array. Each row of the matrix represents a subarray, and each entry in the row indicates that an element belongs to this subarray. If the record is zero, then the element does not belong to the subarray. A non-zero entry is a complex weight applied to the corresponding element. Each row must contain at least one non-zero entry.

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

Dependencies

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

Subarray steering method — method for controlling the pass subarray:q[<br>] None (default) | Phase | Time | Custom

A method for managing a subarray, defined as:

  • None

  • Phase

  • Time

  • Custom

Selecting Phase or `Time' allows you to use the Steer input port.

Selecting Custom allows you to use the WS input port.

Dependencies

To use 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 pass subarray:q[<br>] 3.0e8 (default) | positive scalar

The operating frequency of the phase shift of the subarray, specified as a positive real scalar. The units of measurement are Hz.

Dependencies

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

Number of bits in phase shifters — phase shift quantization bits
0 (default) | non-negative integer

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

Dependencies

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

Subarrays layout — the location of the pass subarrays:q[<br>] Rectangular (default) | Custom

Specify the location of the repeated subarrays.

  • `Rectangular' — the Grid size and Grid spacing parameters are used to place the subarrays.

  • Custom — the Subarray positions (m) parameters are used to place the subarrays and Subarray normals.

Dependencies

To use this parameter, set the Specify sensor array as parameter to `Replicated subarray'.

Grid size — dimensions of the rectangular grid of the pass subarray:q[<br>] [1,2] (default) | a positive integer scalar | vector of strings of positive integers 1 by 2

The grid size of a rectangular subarray, defined as a single positive integer or vector, which is a string of positive integers 1 by 2.

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

  • If Grid size is a 1 by 2 row vector of the form [numberOfRows, NumberOfColumns], then the first variable is the number of subarrays in each column. The second variable is the number of subarrays 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 a 3-by-2 URA subarray can be reproduced when the Grid size parameter has the value [1,2].

mvdr beamformer 2

Dependencies

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

Grid spacing (m) — the distance between the subarrays on the rectangular grid
Auto (default) | positive scalar | positive real vector 1 by 2

The distance between the subarrays in a rectangular grid, set as a positive real scalar or a 1 by 2 vector, or `Auto'. The units of measurement are meters.

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

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

  • If the Grid spacing parameter is set to Auto, then when building a complete array, the distance between the elements of the subarray is preserved for both rows and columns. This option is only available if the Geometry parameter is set to ULA or `URA'.

Dependencies

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

Subarray positions (m) — positions of the pass subarrays:q[<br>] [0,0;0.5,0.5;0,0] ( by default) | a 3-by-N real matrix

The positions of the subarrays in the custom grid, defined as a 3—by-N real matrix, where N is the number of subarrays in the array. Each column of the matrix represents the position of one subarray in the local coordinate system of the array. Coordinates are expressed as [x; y; z]. The units of measurement are meters.

Dependencies

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

Subarray normals — direction of the normals of the pass subarrays:q[<br>] [0,0;0,0] (default) | a 2-by-N real matrix

The direction of the normals of the array’s subarrays. The value of this parameter is a 2-by-N matrix, where N is the number of subarrays in the array. Each column of the matrix defines the direction of the normal of the corresponding subarray in the form of [azimuth;elevation]. The units of measurement of angles are degrees. The angles are set relative to the local coordinate system.

The Subarray positions and Subarray normals parameters can be used to represent any location in which pairs of subarrays differ by certain transformations. These transformations can include translation, azimuth rotation, and elevation rotation. However, transformations that require rotation relative to the normal cannot be used.

Dependencies

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