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Conformal array polarization-DOA estimation precision analysis method based on discrete function partial derivatives

A conformal array, discrete function technology, applied in complex mathematical operations, direction finders using radio waves, radio wave direction/bias determination systems, etc. difficulties, etc.

Pending Publication Date: 2020-10-27
HARBIN INST OF TECH AT WEIHAI +3
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Problems solved by technology

[0006] The present invention is to solve the existing technical problem that the partial derivatives of some elements of the Fisher information matrix for conformal array polarization-DOA parameter estimation are difficult to solve and cannot effectively calculate the parameter estimation, and provide a method that can effectively calculate the parameter estimation Conformal Array Polarization-DOA Estimation Accuracy Analysis Method Based on Partial Derivatives of Discrete Function Based on Cramereau Bound

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  • Conformal array polarization-DOA estimation precision analysis method based on discrete function partial derivatives
  • Conformal array polarization-DOA estimation precision analysis method based on discrete function partial derivatives
  • Conformal array polarization-DOA estimation precision analysis method based on discrete function partial derivatives

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Embodiment Construction

[0069] Referring to the accompanying drawings, the present invention will be further described in detail with specific embodiments.

[0070] Common structures of conformal arrays include cylindrical conformal arrays, conical conformal arrays, and spherical conformal arrays. In this embodiment, figure 1 The cylindrical conformal array shown is an example.

[0071] The conformal array polarization-DOA estimation accuracy analysis method based on the partial derivative of the discrete function includes the following steps:

[0072] In the first step, the computer establishes the receiving signal model of the conformal array, the specific process is,

[0073] According to the geometric structure of the cylindrical conformal array, the coordinates of the array elements on each annular array are obtained as:

[0074] x nm = r c cos[2π(m-1) / M n ] (1)

[0075] the y nm = r c sin[2π(m-1) / M n ] (2)

[0076] z nm =-(n-1)d (3)

[0077] Formulas (1), (2), and (3) among them, n ...

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Abstract

The invention relates to a conformal array polarization-DOA estimation precision analysis method based on discrete function partial derivatives. The method solves the technical problem that in the prior art, partial element partial derivatives of a Fisher information matrix for conformal array polarization-DOA parameter estimation are difficult to solve, and a Cramer-Rao bound for parameter estimation cannot be effectively calculated. The method comprises the steps that firstly, a conformal array received signal model is established; secondly, rotation transformation is carried out on the array element local directional diagram to obtain a global directional diagram, and a polarization response is obtained by utilizing an incident signal polarization vector; secondly, a Fisher informationmatrix is derived according to a multivariate finite discrete function partial derivative method; and then a CRB of parameter estimation is obtained by utilizing the Fisher information matrix F. The method is widely applied to the technical field of array signal direction finding.

Description

technical field [0001] The invention relates to the technical field of array signal direction finding, in particular to a conformal array polarization-DOA estimation accuracy analysis method based on discrete function partial derivatives. Background technique [0002] Direction of arrival (DOA) estimation is widely used in radar, sonar, wireless communication, passive positioning, navigation, earthquake detection and other fields. [0003] A conformal array antenna is a common type of antenna. The conformal array is an array composed of conformal radiation elements on a conformal carrier, which has the advantages of meeting aerodynamic requirements, saving space, reducing weight, and making full use of apertures. The field has broad application prospects. [0004] In terms of conformal array parameter estimation, the prior art utilizes the symmetry of the cylindrical conformal array, combined with the rotation invariant subspace algorithm (Estimation of Signal Parameters v...

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Application Information

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IPC IPC(8): G01S3/14G06F17/16
CPCG01S3/14G06F17/16
Inventor 刘帅钟都都罗双才夏巍巍王军闫锋刚金铭刘国强刘筱刘正平
Owner HARBIN INST OF TECH AT WEIHAI
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