Abstract
Distributed sources can be regarded as an assembly of point sources within a spatial distribution. In this paper, we explore the estimation of the two-dimensional incoherently distributed sources using double L-shape arrays. The rotational invariance properties of the nominal elevation and nominal elevation are firstly obtained by taking first-order Taylor series expansions with regard to the generalized steering vectors of two pairs of parallel subarrays. The rotation operators can be solved based on signal subspace. Then the nominal elevation and nominal elevation can be obtained from parameters matching method. Estimation of direction of arrival can be used in multi-source scenario and needn't peak-finding search. Lastly the angular spreads can be solved through two-dimensional Capon search based on nominal angles. The simulation experiments show that the proposed method has good performance on the estimation of two-dimensional incoherently distributed sources. Investigating different experimental conditions, sources with different angular spreads, simulations are conducted to validate better estimation accuracy of the proposed method.
Highlights
We explore the estimation of the two⁃dimensional incoherently distributed sources using double L⁃shape ar⁃ rays
The rotational invariance properties of the nominal elevation and nominal elevation are firstly obtained by tak⁃ ing first⁃order Taylor series expansions with regard to the generalized steering vectors of two pairs of parallel subar⁃ rays
The nominal elevation and nominal eleva⁃ tion can be obtained from parameters matching method
Summary
∫∫ Mθi = ( θ - θi ) 2pi( θ,φ,t) dθdφ ∫∫ Mφi = ( φ - φi) 2pi( θ,φ,t) dθdφ (14) 定义 Z1 阵列方向矢量[ B11,B12] ìïïB11 = [ β1( θ1 ,φ1 ) ,β1( θ2 ,φ2 ) ,...,β1( θk ,φk ) ] íB12 = [ [ β1( θ1 ,φ1 ) ] ′φ,[ β1( θ2 ,φ2 ) ] ′φ,..., îïï [ β1( θk ,φk ) ] ′φ] ( 28) 3) 将 φ^ i 从集合 { φ1,φ2,...,φk } 剔除, 同时将 2πδ / λcosθ^ isinφ^ i 从 集 合 { angle( μ1) ,angle( μ2) , ...,angle(μk)} 剔除,重复步骤 1 ~ 步骤 2。
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