URA SUM and Difference

Input signal as a matrix, columns of which correspond to channels. The rows correspond to the signal samples.

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

Support for complex numbers: Yes

Initialising input signal as a non-negative real vector-column.

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

Signal arrival directions returned as a non-negative real vector-column. The angle of the direction of arrival is the angle between the direction to the source and the antenna array axis. The units of the angle are degrees. The length of the vector is equal to the number of signals specified by the Number of signals parameters. If the peaks in the spectrum cannot be detected, the result returns NaN.

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

Signal propagation speed as a real positive scalar.

By default, the value of the speed of light is 299792458 m/s.

The unit of measurement is m/s.

The physconst function can be used to specify the speed of light.

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

The operating frequency of the system specified as a positive scalar.

The unit of measurement is Hz.

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

Number of bits used to quantise the phase shift component of the beamformer or control vector weights. Specify the number of bits as a non-negative integer.

A value equal to zero means that quantisation is not performed.

Method of specifying the array specified as Array (no subarrays).

Type of antenna or acoustic element.

Available values:

The operating frequency range of an antenna or acoustic element as a 1-by-2 string vector in the form [LowerBound,UpperBound]. Outside this frequency range, the element has no response.

The unit of frequency measurement is Hz.

Dependencies

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

Select this check box to silence the echo of the element.

When diverted back, the echoes at all azimuth angles greater than ±90° from the broadside are set to zero. The broadside is defined as an azimuth angle of 0° and an elevation angle of 0°.

Dependencies

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

Zero radiation axis direction.

Dependencies

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

The exponents of cosine model as 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, the first element is the exponent in the azimuth direction and the second in the elevation direction. When this parameters is scalar, the cosines in the azimuth and elevation directions are raised to one degree.

Dependencies

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

The operating frequency range of the antenna or acoustic element as a string vector 1 on of increasing real values. The element has no response outside the frequency range given by the minimum and maximum elements of this vector. The unit of frequency measurement is Hz.

Dependencies

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

Frequency response of the user antenna or user acoustic element for frequencies defined by the Operating frequency vector (Hz) parameters. The dimensions of the Frequency responses (dB) vector must match the dimensions of the vector defined by the Operating frequency vector (Hz) parameters.

Dependencies

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

The user antenna pattern coordinate system is specified by az-el or phi-theta. When az-el is specified, the parameters Azimuth angles (deg) and Elevations angles (deg) are used to specify the coordinates of the pattern points. When the `phi-theta parameter is specified, the Phi angle (deg) and Theta angles (deg) parameters are used to specify the coordinates of the pattern points.

Dependencies

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

The azimuth angles from which the antenna radiation pattern will be calculated as a vector-string 1 to P. P must be greater than 2. The azimuth angles must lie in the range from −180° to 180° inclusive, and must be 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.

The elevation angles at which you want to calculate the radiation pattern as vector 1 at . must be greater than 2. The units of measurement of the angles are degrees. Elevation angles must lie in the range from −90° to 90° inclusive and be 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.

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

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

Dependencies

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

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

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

Dependencies

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

If the value of parameters on, the antenna element pattern is rotated to align with the array normal. If disabled, the pattern of the element is not rotated.

If the antenna is used in an antenna array and the Input Pattern Coordinate System parameters is set to az-el, checking this checkbox rotates the pattern so that the x-axis of the element coordinate system points along the array normal. If no selection is made, the element pattern without rotation is used.

If the antenna is used in an antenna array and the Input Pattern Coordinate System parameters is set to phi-theta, checking this checkbox rotates the pattern so that the z-axis of the element coordinate system points along the array normal.

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

Dependencies

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

Angles of the beamwidth pattern solution in degrees.

Dependencies

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

The response frequencies of a polar pattern acoustic element, given as a real scalar or real vector-string 1 on . The response frequencies lie within the frequency range specified by the parameter Operating frequency vector (Hz).

Dependencies

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

Set the response angles of the polar radiation pattern as vector-string 1 at . The angles are measured from the centre axis of the acoustic element and should range from −180° to 180° inclusive.

Dependencies

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

Set the polar pattern magnitude of the custom acoustic element as a real vector-string 1 by , where is the number of frequencies specified in the Polar pattern frequencies (Hz) parameter. The string represents the polar pattern magnitude measured at the corresponding frequency specified in Polar pattern frequencies (Hz). The directional pattern is measured in the azimuth plane. In the azimuth plane, the elevation angle is 0° and the centre axis is 0° in azimuth and 0° in elevation. The polar pattern is symmetrical around the centre axis. Based on the polar diagram, it is possible to construct the directivity diagram of an acoustic element in three-dimensional space.

Dependencies

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

Specify the size of the array as a positive integer or a vector of 1 by 2 positive integers.

Elements are indexed from top to bottom by column and then by next columns from left to right.

In this figure, if the array size is [3,2], the array has three rows and two columns.

The distance between neighbouring elements of the antenna array is specified as a positive scalar.

The unit of measurement is m.

Specify the element lattice as Rectangular or Triangular.

Specify the normal of the array as x, y or z. All elements of the arrays URA and UCA are placed in the yz, zx or xy planes, respectively, in the array coordinate system.

The change of the directivity diagram of the antenna array elements is specified as a complex scalar or complex vector 1 by , where is the number of elements in the array.

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

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