Circular array DOA estimation method based on subspace orthogonal compensation

A quadrature-compensated, subspace technique used in direction finders using radio waves, radio wave direction/bias determination systems, etc.

Pending Publication Date: 2021-09-10
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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Problems solved by technology

[0004] The technical problem to be solved by the present invention is to provide a circular array DOA estimation method based on subspace orthogonal c...

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  • Circular array DOA estimation method based on subspace orthogonal compensation
  • Circular array DOA estimation method based on subspace orthogonal compensation
  • Circular array DOA estimation method based on subspace orthogonal compensation

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Embodiment Construction

[0040] Such as figure 1 As shown, a circular array DOA estimation method based on subspace orthogonal compensation includes the following steps:

[0041] Step 1: The circular array receives the radiation source signal, and samples the received signal, consider as figure 2 In the direction finding scenario shown, the received signal is expressed as

[0042] x(t)=As(t)+n(t)

[0043] in is the direction matrix, s(t)=[s 1 (t),...,s K (t)] K is the signal source vector, n(t) is zero-mean complex Gaussian white noise. The steering vector of the array is

[0044]

[0045] where gamma n =2πn / N(n=0,1,…,N-1), λ is the wavelength, r is the radius, are the incident elevation angle and azimuth angle of the kth (k=1,2,…,K) source, respectively.

[0046] Step 2: Perform beamspace transformation on the received data and use UCA-ESPRIT algorithm to estimate rough DOA

[0047] Step 3: Construct the covariance matrix without beam transformation for the received data vector

...

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Abstract

The invention discloses a circular array DOA estimation method based on subspace orthogonal compensation. The method comprises the following steps: receiving a radiation source signal by an array element, and sampling the received signal; using a UCA-ESPRIT algorithm to obtain two-dimensional angle coarse estimation including an elevation angle and an azimuth angle; decomposing eigenvalues of the covariance matrix without beam conversion to obtain eigenvalues and corresponding eigenvectors, and forming a signal subspace and a noise subspace; reconstructing first-order Taylor expansion of a direction matrix based on coarse estimation by utilizing orthogonality of a steering vector and a noise subspace; obtaining an offset through a least square solution; and compensating the coarse estimation according to the offset to obtain fine estimation. The method is low in calculation complexity, solves the problem of two-dimensional angle estimation precision under the condition that the number of array elements of a circular array is small, and has important engineering application value.

Description

technical field [0001] The invention relates to the technical field of wireless direction finding, in particular to a circular array DOA estimation method based on subspace orthogonal compensation. Background technique [0002] For the direction of arrival estimation of circular arrays, since the steering vectors of circular arrays do not conform to the Vandermonde form, the DOA estimation method of traditional linear arrays cannot be directly applied to circular arrays. Estimated direction of arrival. At the same time, when the number of array elements is small, the error expansion caused by beam switching leads to a decrease in estimation performance. Therefore, in view of the transformation error problem of beam transformation, it is of great significance to study the two-dimensional angle estimation accuracy of the circular array with sparse array elements. [0003] The direction finding of traditional circular arrays is mostly based on beam space conversion. Due to th...

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Application Information

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IPC IPC(8): G01S3/14
CPCG01S3/14
Inventor 李建峰李平张淇婷李潘汤亚为
Owner NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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