Angle Estimator
Estimation of angles.
blockType: DOAEstimator
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Path in the library: |
Description
Block Angle Estimator evaluates the direction to the target (or targets) in azimuth based on the received radar response.
The direction is estimated by calculating the spatial spectrum of incoming narrowband signals using the MUSIC algorithm. This algorithm implements scanning of a rectangular area using a narrow-band beamformer. The geometry of the receiving antenna array is a uniform linear antenna array (ULA).
Ports
Input
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Resp
—
the Doppler-processed response data cube
complex column vector P by 1 | complex matrix M by P | complex matrix M by N by P
Details
A Doppler-processed response data cube defined as a complex column vector P by 1, a complex matrix M by P, or a complex array M by N by P. M is the number of range samples, N is the number of sensor elements or rays, and P is the number of Doppler bins.
| Data types |
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| Complex numbers support |
Yes |
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DetIdx
—
detection indexes
the real matrix Nd on Q
Details
Detection indexes specified as a real matrix Nd by Q. Q is the number of detections, Nd is the number of measurements in the response data cube, Resp. Each column DetIdx contains the detection indexes in the response data cube.
| Example |
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| Data types |
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| Complex numbers support |
No |
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Clusters
—
cluster IDs
real positive vector-row 1 on Q
Details
Cluster identifiers specified as a real positive vector are strings 1 on Q, where Q is the number of detections specified in the input port DetIdx. Each Clusters element corresponds to a DetIdx element.
| Data types |
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| Complex numbers support |
No |
Output
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Est
—
estimates of angular position (bearing)
real vector-column Num by 1
Details
Estimates of the angular position are a real column vector, the length of which is determined by the parameter Maximum number of estimates.
| Data types |
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| Complex numbers support |
No |
Parameters
Main
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Propagation speed (m/s) —
signal propagation speed, m/s
Real number
Details
The propagation velocity of the signal in the form of a real positive scalar.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |
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Operating frequency (Hz) —
the carrier frequency of the signal, Hz
Real number
Details
The carrier frequency of the signal, specified as a real positive scalar.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |
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Maximum number of estimates —
maximum number of angular position estimates
Int64 integer
Details
The maximum number of angular position estimates for the report, set as a positive integer. If the number of requested ratings is greater than the number of items on the input port DetIdx, then the remainder is filled with `NaN'.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |
Main
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Specify sensor array as —
the method of setting the antenna array
Array (no subarrays)
Details
The method for setting the antenna array specified as `Array (no subarrays)'.
-
Array (no subarrays)— the block parameters are used to set the antenna array.
| Values |
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| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
No |
Element
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Element type —
types of antenna array elements
Isotropic Antenna | Cardioid Antenna | Cosine Antenna | Custom Antenna | Gaussian Antenna | Sinc Antenna | Omni Microphone | Custom Microphone
Details
The type of antenna array element.
Available values:
-
Isotropic Antenna -
Cardioid Antenna -
Cosine Antenna -
Custom Antenna -
Gaussian Antenna -
Sinc Antenna -
Omni Microphone -
Custom Microphone
| Values |
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| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
No |
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Operating frequency vector (Hz) —
array of operating frequencies of the antenna array element
Vector / matrix of real numbers
Details
Array of operating frequencies of the antenna array element in the form of a vector string on increasing actual values. The element has no response beyond the frequency range specified by the minimum and maximum elements of this vector.
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.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |
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Frequency responses (dB) —
frequency responses of the antenna array element
Vector / matrix of real numbers
Details
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'.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |
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Input pattern coordinate system —
selecting the coordinate system of the radiation pattern of the user antenna array
az-el | phi-theta
Details
The choice of the coordinate system of the radiation pattern of the user antenna array 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.
| Values |
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| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
No |
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Azimuth angles (deg) —
azimuth angles of the radiation pattern of the antenna array
Vector / matrix of real numbers
Details
The values of the azimuth angles, which will be used to calculate the antenna array radiation pattern in the form of a vector string on . There should be more . 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.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |
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Elevation angles (deg) —
the values of the angles of the location of the antenna array radiation pattern
Vector / matrix of real numbers
Details
The values of the angles of the location at which it is necessary to calculate the radiation pattern in the form of a vector on . There should be more . 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.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |
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Phi angles (deg) —
the values of the angles of the Phi radiation pattern of the antenna array
Vector / matrix of real numbers
Details
The angular coordinates of the Phi points where the radiation pattern of the antenna array is set. They are defined as a real vector string on . There should be more .
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.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |
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Theta angles (deg) —
the values of the angles of the Theta radiation pattern of the antenna array
Vector / matrix of real numbers
Details
The angular coordinates of the Theta points where the radiation pattern of the antenna array is set. They are defined as a real vector string on . There should be more .
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.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |
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Magnitude pattern (dB) —
the magnitude of the antenna array pattern
String
Details
The value of the antenna array radiation 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.
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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.
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If the value of this parameter is a matrix on , then the same scheme is used for all frequencies specified in the parameter Operating frequency vector (Hz).
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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.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |
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Phase pattern (deg) —
the phase of the radiation pattern of the user antenna array
String
Details
The phase radiation pattern of the combined antenna array, defined as a matrix on or an array on on .
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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.
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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.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |
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Align element normal with array normal —
align the normal of the antenna array element with respect to the grid normal
Logical
Details
Select this option so that the radiation pattern of the antenna array element rotates to align with the normal of the antenna array.
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If the antenna array element is used in the antenna array and the parameter Input Pattern Coordinate System has the value
az-el, selecting this flag rotates the radiation pattern so that the axis x of the coordinate system of the antenna array element points along the normal of the antenna array. If there is no selection, the element template is used without rotation. -
If an element of the antenna array is used in the antenna array and the parameter Input Pattern Coordinate System has the value
phi-theta, checking this box rotates the radiation pattern so that the axis z of the coordinate system of the element of the antenna array points along the normal of the antenna 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.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
No |
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Polar pattern frequencies (Hz) —
frequency values for the polar radiation pattern of an acoustic element
Real number
Details
The frequency values for the polar radiation pattern are set as a real scalar or a real vector string. 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.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |
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Polar pattern angles (deg) —
angle values for the polar radiation pattern of an acoustic element
Vector / matrix of real numbers
Details
The angle values for the polar radiation pattern of an acoustic element are set as a vector . The angles are measured from the central axis of the acoustic element and should be in the range of −180° to 180° inclusive.
Dependencies
To use this parameter, set the Element type parameter to Custom Microphone.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |
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Polar pattern (dB) —
polar radiation pattern of an acoustic element
Vector / matrix of real numbers
Details
Set the value of the polar radiation pattern of the user acoustic element in the form of a real vector string 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 directional diagram of an acoustic element in three-dimensional space.
Dependencies
To use this parameter, set the Element type parameter to Custom Microphone.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |
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Operating frequency range (Hz) —
the range of operating frequencies of the antenna array element
Array of real numbers
Details
The range of operating frequencies of the antenna array element in the form of a vector string on in the form of [LowerBound, UpperBound]. The element has no response outside this frequency range.
Dependencies
To use this parameter, set the Element type parameter to Isotropic Antenna, Cosine Antenna or 'Omni Microphone'.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |
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Radiation pattern beamwidth (deg) —
beam width of the antenna array pattern
Scalar / array of real numbers
Details
The beam width of the antenna array pattern.
Dependencies
To use this parameter, set the Element type parameter to Gaussian Antenna.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |
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Null axis direction —
the direction of the axis along the zero radiation
String
Details
The direction of the axis is along the zero radiation.
Dependencies
To use this parameter, set the Element type parameter to Cardioid Antenna.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |
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Exponent of cosine pattern —
exponent exponent when defining the shape of a cosine radiation pattern
Scalar / array of real numbers
Details
Exponent of the exponent of the cosine model in the form of a non-negative scalar or a real matrix on from non-negative values. If Exponent of cosine pattern is a vector on , 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'.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |
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Baffle the back of the element —
accounting for radiation through the rear beam of the radiation pattern into the rear hemisphere of the antenna array element
Logical
Details
Select this option to exclude radiation into 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'.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
No |
ULA
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Number of elements —
number of antenna array elements
Real number
Details
The number of elements of the ULA antenna array, set as an integer greater than or equal to .
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |
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Array axis —
direction of the ULA linear axis
x | y | z
Details
The direction of the ULA linear axis, set 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.
| Values |
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| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
No |
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Taper —
changing the radiation pattern of antenna array elements
Scalar / array of real and/or complex numbers
Details
Changing the radiation pattern of the antenna array elements. It is defined as a complex scalar or a complex vector. on , 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.
| Default value |
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| Program usage name |
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| Tunable |
No |
| Evaluatable |
Yes |