ESPRIT DOA

The input signal is a matrix of size by , where is the number of signal samples and is the number of channels.

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

Support for complex numbers: Yes

Angles defining directions of signals arrival, returned as a vector with real values by 1. Units - degrees.

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

Signal propagation speed as a real positive scalar. By default, the value of the speed of light is 3e8 m/c.

The unit of measurement is m/s.

Carrier frequency of the system specified as a positive scalar. The unit of measurement is Hz.

Number of signals as a positive integer scalar.

Sets the number of (non-negative integer) averages that provide spatial smoothing for estimating the covariance matrix. Each increase in this parameters adds one additional coherent source, which in turn reduces the effective number of elements by one. The maximum value of this parameter is , where is the number of elements in the ULA.

Specify the least squares method used for ESPRIT:

This parameters allows to set forward/backward averaging for estimation of covariance matrix for antenna array elements with conjugate-symmetric structure of elements.

Row weighting factor for the eigenvectors of the signal subspace as a positive integer scalar. This parameter controls the weights applied to the selection matrices. In most cases, the higher the value, the better. However, the value can never be greater than , where is the number of antenna array elements.

Method of specifying the antenna array element.

Type of antenna array element.

Available values:

The operating frequency range of the antenna array element as a 1-by-2 string vector element as [LowerBound,UpperBound]. Outside this frequency range, the element has no response. Frequency units are Hz.

Dependencies

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

Select this check box to exclude radiation to the rear hemisphere. The response from the rear hemisphere at all azimuth angles outside the ±90° interval from the broadside are set to zero. The broadside is defined as an azimuth angle of 0° and a location angle of 0°.

Dependencies

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

Axis direction along the null radiation.

Dependencies

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

The exponent of the degree of the exponent 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 of the exponent degree in the azimuth direction and the second element is the exponent of the exponent degree in the angle-of-place direction. When this parameters is scalar, the cosines in the azimuth and elevation directions are raised to the same degree.

Dependencies

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

The array of operating frequencies of the antenna array element is specified 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 units of frequency measurement are 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.

The frequency response of custom antenna array elements is determined 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.

Selects the user antenna pattern coordinate system, either az-el or phi-theta is specified. When az-el is selected, the Azimuth angles (deg) and Elevations angles (deg) parameters are used to specify the coordinates of the directional 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 value of the azimuth angles for which the antenna radiation pattern will be calculated as a vector-string 1 on P. P must be greater than 2. The values of the azimuth angles shall lie in the range from −180° to 180° inclusive and shall 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 values of the place 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. The values of the angles of place must lie in the range from −90° to 90° inclusive 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 az-el.

The value of the Phi angles of the points at which the antenna radiation pattern is specified. Defined as a real vector-string 1 on . must be greater than 2. The units of measurement of the angles are degrees. The values of Phi angles must lie in the range from 0° to 360° 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.

The value of the Theta angles of the points at which the antenna radiation pattern is specified. Defined as a real vector-string 1 on . must be greater than 2. The units of measurement of the angles are degrees. The values of Theta angles must lie in the 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.

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 parameters value is on, the pattern of the antenna element is rotated to align with the array normal. If off, 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.

Antenna pattern beamwidth in degrees.

Dependencies

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

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

Dependencies

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

The angle values for the microphone’s polar pattern are specified as a vector 1 on . The angles are measured from the centre axis of the microphone 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 user microphone element as a real vector-string 1 by , where is the number of frequencies specified in the Polar pattern frequencies (Hz) parameters. 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 angle of place 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, you can construct the microphone’s radiation pattern in three-dimensional space.

Dependencies

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

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

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

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

Dependencies

To enable this parameter, set the Geometry parameter to ULA. This parameter is also enabled when the block supports only ULA arrays.

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.