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.

CN111830459APending Publication Date: 2020-10-27HARBIN INST OF TECH AT WEIHAI +3
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Authority / Receiving Office
CN · China
Current Assignee / Owner
Publication Date
2020-10-27

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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.
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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...

Examples

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 ...