Far-field narrow-band radio signal direction-of-arrival estimation method
A technology of direction of arrival estimation and radio signal, which is applied to the field of far-field narrowband radio signal direction of arrival estimation of generalized polynomial reduced-order root-seeking, and can solve the problems of reducing the computational complexity of the root-seeking process and the high order of complex root-seeking polynomials.
Active Publication Date: 2021-08-06
HARBIN INST OF TECH AT WEIHAI
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[0006] Aiming at the problem of excessively high order of complex root-finding polynomials in the prior art, the present invention proposes a new method for estimating the direction of arrival of generalized polynomials based on maximum common factor reduction and root-finding. relationship, constructing an approximate root-finding polynomial; on the other hand, combining the approximate polynomial and its derivatives to form an ill-conditioned equation system, and by extracting the greatest common factor in the equation system, efficient DOA estimation is realized; at the same time, the maximum The order of the common factor is only related to the number of target signals, and the greatest common factor only includes the direction of arrival of the target signal. Theoretical analysis and experimental results show that this method is relatively Significantly reduces the computational complexity in the root finding process
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Embodiment 1
[0131] This example proposes a new method for direction of arrival estimation based on the greatest common factor of generalized polynomials with reduced order roots:
[0132] The first step is to use the antenna array to receive the radiation source signal, and the first step includes the following steps:
[0133] (1) Assuming that there are M mutually independent array elements in the antenna array, a uniform linear array (ULA) is formed with equal spacing of d, considering that there are L far-field narrowband signals in the space from the direction θ=[θ 1 ,…,θ L ] is incident on the array, where, assuming that L is known a priori, the array element spacing d satisfies d≤λ2 to avoid phase ambiguity, and λ is the wavelength of the narrowband signal, then the radiation source signal received by the antenna array is:
[0134]
[0135] Among them, θ k is the direction of arrival of the k∈[1,L]th signal in the space, A(θ) is the M×L-dimensional array flow pattern matrix, s(...
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The invention belongs to the technical field of array signal processing, and particularly relates to a far-field narrow-band radio signal direction-of-arrival estimation method based on generalized polynomial order reduction rooting of a maximum common equation, which can remarkably reduce the operation complexity, and is characterized in that after a radiation source signal is received, a rooting polynomial of the radiation source signal is obtained, then, an approximate rooting polynomial and a derivative thereof are constructed through the relationship between the root and the coefficient; after an ill-conditioned equation set is formed by the approximate rooting polynomial and the derivative thereof, the maximum public expression of the equation set is extracted, and after the maximum public expression containing real DOA information is obtained, the direction of arrival of the signal is directly obtained through rooting operation.
Description
Technical field: [0001] The invention belongs to the technical field of array signal processing, and specifically relates to a method for estimating the direction of arrival of a far-field narrowband radio signal based on a maximum common factor-based generalized polynomial order-reduction root-finding that can significantly reduce the computational complexity. Background technique: [0002] In order to identify, locate, and track space targets in a complex electromagnetic environment, direction of arrival (DOA) estimation requires the use of antenna arrays in the space plane to accurately estimate the direction of arrival of different signals. In radar, sonar , navigation and other fields have important research value. The proposal of search algorithms represented by multiple signal classification (MUSIC) makes the traditional direction finding theory officially enter the era of super-resolution. However, during the engineering transformation process of super-resolution di...
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Login to View More IPC IPC(8): G01S3/14G06F17/16
CPCG01S3/14G06F17/16
Inventor 闫锋刚孟祥天李享刘润虎金铭
Owner HARBIN INST OF TECH AT WEIHAI