phased.ESPRITEstimator

ula的ESPRIT到达方向（DOA）估计器

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描述

这phased.ESPRITEstimatorSystem Object™通过旋转不变性（ESPRIT）到达估算的方向估算信号参数的到达方向。

To estimate the direction of arrival (DOA):

Define and set up your DOA estimator. SeeConstruction。
Callstepto estimate the DOA according to the properties ofphased.ESPRITEstimator。这behavior ofstepis specific to each object in the toolbox.

Note

Starting in R2016b, instead of using thestep执行操作系统定义的方法tem object, you can call the object with arguments, as if it were a function. For example,y = step(obj,x)和y = obj(x)perform equivalent operations.

Construction

H = phased.ESPRITEstimator创建一个ESPRIT DOA估计器系统对象，H。该对象使用具有均匀线性阵列（ULA）的ESPRIT算法估算信号的到达方向（DOA）。

h =分阶段。Name,价值)创建对象，H，每个指定的属性名称设置为指定值。您可以按任何顺序指定其他名称值对参数Name1,Value1，...，，纳梅,valuen）。

Properties

`SensorArray`	Handle to sensor array Specify the sensor array as a handle. The sensor array must be a`phased.ULA`目的。 Default:`phased.ULA`具有默认属性值
`传播速度`	信号传播速度 Specify the propagation speed of the signal, in meters per second, as a positive scalar. You can specify this property as single or double precision. Default:Speed of light
`工作频率`	System operating frequency Specify the operating frequency of the system in hertz as a positive scalar. The default value corresponds to 300 MHz. You can specify this property as single or double precision. Default:`3E8`
`前卫降低`	执行前后平均 Set this property to`真的`to use forward-backward averaging to estimate the covariance matrix for sensor arrays with conjugate symmetric array manifold. Default:`false`
`空间平滑`	空间平滑指定空间平滑所用的平均数量来估计协方差矩阵作为非负整数。每个额外的平滑处理都会处理一个额外的连贯源，但将有效元件数量减少1。该属性的最大值为M – 2，其中M是传感器的数量。您可以将此属性指定为单个或双重精度。 Default:`0`，表示没有空间平滑
`NumSignalsSource`	信号数来源 Specify the source of the number of signals as one of`'Auto'`或者`'Property'`。If you set this property to`'Auto'`, the number of signals is estimated by the method specified by the`numsignalsMethod`property. Default:`'Auto'`
`numsignalsMethod`	估计信号数量的方法 Specify the method to estimate the number of signals as one of`'aic'`或者`'MDL'`。这`'aic'`uses the Akaike Information Criterion and the`'MDL'`使用最小描述长度标准。当您设置该属性时，此属性将适用`NumSignalsSource`property to`'Auto'`。 Default:`'aic'`
`NumSignals`	信号数 Specify the number of signals as a positive integer scalar. This property applies when you set the`NumSignalsSource`property to`'Property'`。这number of signals,N_sig，必须小于元素数量，N_sub, in the subarray derived from the array specified in the`SensorArray`property. SeeESPRIT Subarrays。您可以将此属性指定为单个或双重精度。 Default:`1`
`Method`	Type of least squares method 指定用于ESPRIT的最小二乘方法`'TLS'`或者`'ls'`。`'TLS'`指的是总正方形和`'ls'`refers to least squares. Default:`'TLS'`
`RowWeighting`	行加权因子指定信号子空间特征向量的行加权因子作为正整数标量。该属性控制适用于选择矩阵的权重。在大多数情况下，价值越高越好。但是，它永远不会大（NSUB - 1）/2whereNsubis the number of elements in the subarray derived from the array specified in the`SensorArray`property. SeeESPRIT Subarrays。您可以将此属性指定为单个或双重精度。 Default:`1`

方法

step

执行DOA估计

Common to All System Objects
`release`	允许系统对象属性值更改

例子

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估计两个信号的DOA

打开实时脚本

Estimate the directions-of-arrival (DOA) of two signals received by a standard 10-element ULA with element spacing 1 m. The antenna operating frequency is 150 MHz. The actual direction of the first signal is 10° in azimuth and 20° in elevation. The direction of the second signal is 45° in azimuth and 60° in elevation.

创建信号。

fs = 8.0e3; t = (0:1/fs:1).'; x1 = cos(2*pi*t*300); x2 = cos(2*pi*t*400); array = phased.ULA('NumElements',10,“ elementspacing',1); array.Element.FrequencyRange = [100e6 300e6]; fc = 150e6;

Create the plane waves and add noise.

x = collectPlaneWave(array,[x1 x2],[10 20;45 60]',fc); noise = 0.1/sqrt(2)*(randn(size(x)) + 1i*randn(size(x)));

Estimate the arrival angles.

估算器=分阶段。'SensorArray'，大批，。。。'工作频率'，fc）;doas =估算器（x +噪声）;az = broadside2az（stort（doas），[20 60]）

az =1×210.0000 45.0126

算法

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ESPRIT Subarrays

这ESPRIT algorithm, as implemented in thephased.ESPRITEstimatorSystem object, reorganizes the ULA elements into two overlapping subarrays. For an original N-element array, the first subarray consist of elements1,...,N - 1原始数组。第二个子阵列由元素组成2, ... ,N原始数组。有N_sub= n -1每个子阵列中的元素。

数据精度

This System object supports single and double precision for input data, properties, and arguments. If the input dataX是单个精度，输出数据是单个精度。如果输入数据X是双重精度，输出数据是双重精度。输出的精度与属性和其他参数的精度无关。

参考

[1] Van Trees, H.Optimum Array Processing。New York: Wiley-Interscience, 2002.

Extended Capabilities

C/C ++代码生成
使用MATLAB®CODER™生成C和C ++代码。

用法注释和限制：

SeeMATLAB代码生成中的系统对象（MATLAB编码器）。

Version History

在R2011a中引入