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Maximum likelihood direction-of-arrival direction estimation method based on quadratic sum and semi-definite program

A direction of arrival estimation and maximum likelihood technology, which is applied in the field of array signal processing and radar, can solve the problems of inability to directly estimate the azimuth of the relevant signal source, large amount of calculation, and insufficient resolution.

Active Publication Date: 2017-03-15
NANJING UNIV OF POSTS & TELECOMM
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Problems solved by technology

[0004] Aiming at the deficiencies of existing DOA estimation methods, such as large amount of calculation, inability to directly estimate the orientation of relevant signal sources, and insufficient resolution, the present invention proposes a maximum likelihood DOA estimation method based on sum of squares and semidefinite programming

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  • Maximum likelihood direction-of-arrival direction estimation method based on quadratic sum and semi-definite program
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  • Maximum likelihood direction-of-arrival direction estimation method based on quadratic sum and semi-definite program

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[0066] It will be described in detail below in conjunction with the accompanying drawings.

[0067] refer to figure 1 , illustrating a maximum likelihood DOA estimation method based on the sum of squares and semidefinite programming of the present invention, and its specific implementation steps are as follows:

[0068] Step 1, establish the direction estimation optimization problem according to the received signal model of the array antenna and the maximum likelihood criterion, and convert it into a series of optimization sub-problems by using the coordinate rotation method and the principle of alternating projection;

[0069] 1a) Set the antenna array as a uniform linear array, the number of array elements is N, the working center wavelength is λ, and the distance between array elements is d; there are M randomly distributed far-field narrow-band stationary signals s in the space m (k) respectively from the direction θ m Illuminating the antenna array, θ=[θ 1 ,θ 2 ,...,θ...

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Abstract

The invention discloses a maximum likelihood direction-of-arrival direction estimation method based on a quadratic sum and a semi-definite program and relates to the array signal processing field. The method comprises the following steps of step1, according to a receiving signal model of an array antenna and a maximum likelihood criterion, establishing a direction estimation optimization problem, and using a coordinate transmigration method and an alternative projection principle to convert the problem into a series of optimization subproblems; step2, substituting a direction angle variable in the subproblems as a real number variable t, and constructing the subproblems into a fractional polynomial optimization problem; step3, using a quadratic sum characteristic to convert the polynomial optimization problem into a semi-definite program problem so as to solve; and step4, using an acquired optimal solution to construct a unitary high order equation group about t and solving, wherein an original direction variable corresponding to a solution value t is signal-source direction-of-arrival estimation; and when iteration convergence is generated, acquiring a signal-source direction of arrival. The method is mainly used for an array signal processing scene so as to solve a problem that a calculated amount of maximum likelihood direction-of-arrival estimation is large in the prior art.

Description

technical field [0001] The invention belongs to the field of radar technology, relates to the field of array signal processing, in particular to a method for estimating the direction of arrival of a maximum likelihood wave based on a square sum and a semidefinite programming. [0002] technical background [0003] Direction of arrival (DOA) estimation of far-field narrowband signal sources is a hot issue in the fields of radar, sonar, satellite communication and wireless communication. The goal of DOA estimation is to estimate the orientation of multiple signal sources in space based on the observation samples on the array. In recent decades, researchers have proposed various types of orientation estimation methods, including methods based on the Maximum Likelihood (ML) criterion and methods based on subspaces. Among them, the method based on the maximum likelihood criterion can achieve the best estimation performance. However, this type of method usually needs to solve a n...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01S3/14
CPCG01S3/14
Inventor 蔡曙陈欣恺刘旭朱洪波
Owner NANJING UNIV OF POSTS & TELECOMM
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