沖擊噪聲下基于矩陣預(yù)處理的稀疏重構(gòu)DoA估計(jì)
doi: 10.11999/JEIT170371
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2.
(西安郵電大學(xué)通信與信息工程學(xué)院 西安 710061)
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3.
(西安交通大學(xué)電子信息學(xué)院 西安 710054)
基金項(xiàng)目:
國家自然科學(xué)基金(61372092)，教育部中移動(dòng)項(xiàng)目(MCM20150102)
DoA Estimation Based on Matrix Preconditioning Through Sparse Reconstruction in Impulsive Noise
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2.
(Communication and Information Engineering, Xi'an University of Posts, Xi&rsquo
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3.
(Department of Information and Communication Engineering, Xi'an Jiaotong University, Xi&rsquo
Funds:
The National Natural Science Foundation of China (61372092), The Ministry of Education in the Mobile Project (MCM20150102)
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摘要: 針對(duì)沖擊噪聲下用稀疏重構(gòu)的方法不能準(zhǔn)確估計(jì)波達(dá)方向的問題，該文提出基于多項(xiàng)式矩陣預(yù)處理的稀疏重構(gòu)的波達(dá)方向(DoA)估計(jì)方法。由于沖擊噪聲的二階矩不存在，基于二階矩估計(jì)的子空間類算法和稀疏重構(gòu)類算法不能有效估計(jì)出波達(dá)方向，且不能很好地處理相干信源。為了解決這個(gè)問題，采用多項(xiàng)式預(yù)處理技術(shù)對(duì)接收信號(hào)的自相關(guān)函數(shù)和方向矢量進(jìn)行預(yù)處理，并在此基礎(chǔ)上利用稀疏重構(gòu)技術(shù)進(jìn)行DoA估計(jì)。多項(xiàng)式預(yù)處理可以縮小矩陣的奇異值分布，使得反映噪聲能量的奇異值分布更加明顯，從而有利于減小沖擊噪聲的影響。仿真結(jié)果表明，算法在沖擊噪聲環(huán)境下能準(zhǔn)確穩(wěn)定地估計(jì)出兩種信源的波達(dá)方向，尤其是在沖擊噪聲較強(qiáng)的情況下表現(xiàn)出靈敏度高、魯棒性好的優(yōu)點(diǎn)。
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關(guān)鍵詞:
- DoA估計(jì) /
- 沖擊噪聲 /
- 稀疏重構(gòu) /
- 多項(xiàng)式預(yù)處理
Abstract: Sparse reconstruction method suffers severe degradation in presence of impulsive noise. To deal with this problem, this paper proposed a DoA estimation method based on polynomial matrix preconditioning through sparse reconstruction. Based on the sparse reconstruction, multiply the covariance function and the direction vector by Polynomial preprocessing, which can reduce the distribution matrix of singular values, improve singular value ratio, and exhibit better sparsity. Simulation results demonstrate that the proposed algorithm achieves accurate DoA in coherent and incoherent signal sources under impulsive noise, especially have high accuracy and robustness in the heavy impulsive noise.-
Key words:
- DoA estimation /
- Impulsive noise /
- Sparse reconstruction /
- Polynomial preconditioning
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