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DOA estimation method of nested array based on K-R subspace

A direction-of-arrival estimation and subspace technology, which can be used in direction-determining orientators, radio wave measurement systems, and measurement devices, can solve problems such as large errors in estimation methods such as antenna arrays, and achieve small errors, high resolution, and high The effect of estimating accuracy

Inactive Publication Date: 2018-01-05
HARBIN INST OF TECH
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Problems solved by technology

[0004] The purpose of the present invention is to solve the problem that the existing estimation method has large errors and the antenna array can only estimate the direction of arrival of the number of arrivals less than the number of array elements, and propose a nested array based on K-R subspace direction of arrival estimation method

Method used

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  • DOA estimation method of nested array based on K-R subspace
  • DOA estimation method of nested array based on K-R subspace
  • DOA estimation method of nested array based on K-R subspace

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specific Embodiment approach 1

[0023] Embodiment 1: The K-R subspace-based direction of arrival (DOA) estimation method for nested arrays includes the following steps:

[0024] Step 1: Establish a nested array model according to the equal-spaced linear array signal model;

[0025] Step 2: perform sparse processing on the nested array model established in step 1 according to the principle of K-R product transformation to obtain a sparse matrix Φ;

[0026] Step 3: Optimize and reconstruct the sparse matrix Φ obtained in Step 2 to obtain the estimated value of the incoming wave direction.

specific Embodiment approach 2

[0027] Embodiment 2: The difference between this embodiment and Embodiment 1 is that the signal model of the medium-spaced linear array array in step 1 is specifically:

[0028] X(t)=A(Θ)S(t)+N(t)

[0029] Where X(t) is the received signal, S(t) is the transmitted signal, N(t) is the system noise, t is the time, and A(Θ) is the steering vector matrix.

[0030] Any column vector a(Θ) in matrix A(Θ) i ) is an array in the spatial source signal with a direction of Θ i The direction vector of , and is an M × 1-dimensional column vector, there are:

[0031]

[0032] Other steps and parameters are the same as in the first embodiment.

specific Embodiment approach 3

[0033] Embodiment 3: The difference between this embodiment and Embodiment 1 or 2 is that the nested array model established in the step 1 is specifically:

[0034] If D signals are incident on the nested array, the input data vector received by the nested array of M elements is expressed as the linear combination of the incident waveform of the D incident signals and the noise, namely:

[0035]

[0036]

[0037] where x(t) is the received signal vector, a(φ i ) is the steering vector of the array of directions of arrival of the ith signal, s i (t) is the vector of the ith incident signal and n(t) is the vector of system noise.

[0038] Since the number of array elements is greater than 4, the position interval of the array elements will inevitably produce redundancy, so scholars are devoted to finding the optimal array to obtain smaller redundancy and degrees of freedom, thus resulting in the concept of minimum redundancy . The arrangement of the nested array is a sp...

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Abstract

The invention provides a DOA (direction of arrival) estimation method of a nested array based on a K-R subspace and relates to a DOA estimation method. The invention aims to solve the problems that anexisting estimation method has a large error and an antenna array only can estimate arrival waves whose DOA number is smaller than that of array elements. The method comprises the steps of (1) establishing a nested array model according to an equally spaced linear array signal model, (2) carrying out sparsity processing on the nested array model established in step (1) according to the K-R product transformation principle and obtaining a sparse matrix Phi, and (3) carrying out optimized reconstruction on the sparse matrix Phi obtained in step (2) and obtaining a DOA estimation value. According to the method, the number of more incident wave sources with the breaking of Rayleigh limitation can be estimated, when a signal to noise ratio is 20dB, a root mean square error decreases from 0.15to 0.06952, and when the number of snapshots is 500, the root mean square error decreases from 0.4031 to 0.1949. The method is used in the field of smart antennas and DOA estimation.

Description

technical field [0001] The present invention relates to the field of smart antenna and direction of arrival estimation, in particular to a direction of arrival estimation method. Background technique [0002] The array signal arranges a group of sensors at different positions in space in a certain way to form a sensor array. Using the sensor array to receive the spatial signal is equivalent to sampling the spatially distributed field signal to obtain the spatially discrete observation data of the signal source. In addition to the signal time domain, frequency domain or time-frequency domain features, the array signal also includes signal spatial domain features. Array signal processing fully exploits and utilizes the spatial characteristics of the array signal to extract the array output signal and its characteristic parameters, while suppressing interference and noise. Compared with the traditional single directional sensor, the sensor array has the characteristics of fle...

Claims

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Application Information

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IPC IPC(8): G01S3/00
Inventor 郭庆苏南池高天娇邵欣业
Owner HARBIN INST OF TECH
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