A DOA estimation method for mixed coherent and incoherent signals under colored noise
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摘要: 复杂环境下，应用阵列测向系统进行DOA估计时，难以实现小样本、混叠色噪声且入射信号存在相干性情况下的DOA估计。面向窄带信号DOA估计需求，采用协方差矩阵收缩估计改善其小样本情况下的协方差估计效果，再应用协方差差分法对收缩后的协方差矩阵进行处理，以抑制色噪声和信号相干性，最后应用MUSIC算法进行DOA估计，提出一种小样本、混叠色噪声且入射信号存在相干性情况下的DOA估计方法。通过仿真实验验证了算法的有效性，为解决复杂环境下的DOA估计问题提供一种有效方案。Abstract:
Backgrounds In complex electromagnetic environments, due to the multipath propagation of signals and the impact of co-channel interference, direction-finding systems will receive coherent signals. The mutual coupling between antenna elements or the inconsistency of gains will cause the superimposed noise of each channel to become spatial colored noise. Due to the low signal-to-noise ratio (SNR) of signals or short transmission time, it is difficult to obtain sufficient high-quality signal samples. When using array direction finding systems for DOA estimation, it is difficult to achieve DOA estimation under conditions of small samples, overlapping colored noise, and coherent incident signals.Purpose This study aims how to solve the array direction-finding problems caused by radiation source coherence, aliased colored noise and small samples, which has become a research hotspot and difficulty in array signal processing area.Methods From the requirement of DOA estimation of narrowband signals, A DOA estimation method is proposed for small samples, overlapping colored noise, and coherent incident signals by using covariance matrix shrinkage estimation to improve the covariance estimation effect under small sample conditions, then using the covariance difference method to process the shrunk covariance matrix to suppress colored noise and signal coherence, and finally applying the MUSIC algorithm for DOA estimation.Results Simulation experiments verify the effectiveness of the proposed method, providing an effective solution for solving DOA estimation problems in complex environments.Conclusions The proposed method offers an effective approach to array direction-finding under complex environments. -
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$ \text{SNR=0 dB} $ 情况下DOA估计结果Figure 2. Estimated results of DOA in the condition of
$ \text{SNR=0 dB} $ 
图 3
$ \text{SNR=10 dB} $ 情况下DOA估计结果Figure 3. Estimated results of DOA in the condition of
$ \text{SNR=10 dB} $ 
图 4
$ \text{SNR=15 dB} $ 情况下DOA估计结果Figure 4. Estimated results of DOA in the condition of
$ \text{SNR=15 dB} $ 
图 5 阵元数
$ \text{M=11} $ 情况下DOA估计结果Figure 5. Estimated results of DOA in the condition of the number of array elements
$ \text{M=11} $ 
图 6 阵元数M=20情况下DOA估计结果
Figure 6. Estimated results of DOA in the condition of the number of array elements M=20
图 7 入射角度分别为−45°、−42°、−39°、21°、24°
Figure 7. Incident angles is −45°, −42°, −39°, 21°, 24° respectively
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