由于无网格(grid-less)稀疏重构方法的波达方向(direction of arrival,DOA)估计数学模型为单快拍形式,因此该方法只有在噪声电平趋近于零时才具有优越的性能.为了提高grid-less方法在信噪比(signal-to-noise ratio,SNR)较低时宽带相干...由于无网格(grid-less)稀疏重构方法的波达方向(direction of arrival,DOA)估计数学模型为单快拍形式,因此该方法只有在噪声电平趋近于零时才具有优越的性能.为了提高grid-less方法在信噪比(signal-to-noise ratio,SNR)较低时宽带相干信源的估计性能,提出了一种多快拍grid-less DOA估计方法.首先,对多快拍阵列观测矢量实施奇异值分解(singular value decomposition,SVD)获得观测矩阵的时域信号子空间,通过观测矩阵到时域信号子空间的投影实现观测矩阵的降噪;然后,为了不增加多快拍计算复杂度,将降噪后观测矩阵的列向量加权累加处理得到单快拍形式;最后,从理论上证明了本文提出的GL-SVD方法求解的模型是凸的,能够实现宽带信号DOA的精确重构.仿真结果表明,该方法在低SNR以及宽带相干信源情况下的估计精度都高于L 1范数最小化奇异值分解(L 1-norm minimum singular value decomposition,L 1-SVD)和离格稀疏贝叶斯推断奇异值分解(off-grid sparse Bayesian inference singular value decomposition,OGSBI-SVD),且在较小角度间隔的情况下具有更高的估计概率和分辨率.展开更多
非相干信号子空间方法(Incoherent Signal Subspace Method,ISM)无法处理相干宽带信源且运算量较大,在脉冲噪声下,由于二阶相关矩阵无法收敛,基于ISM算法的波达方向(Direction of Arrival,DOA)估计也将失去韧性,为此对ISM算法进行了改...非相干信号子空间方法(Incoherent Signal Subspace Method,ISM)无法处理相干宽带信源且运算量较大,在脉冲噪声下,由于二阶相关矩阵无法收敛,基于ISM算法的波达方向(Direction of Arrival,DOA)估计也将失去韧性,为此对ISM算法进行了改进。首先将等间距线阵输出矩阵在频域进行分解,根据各频率分量对应的归一化功率设置门限值,对大于门限的频率分量构建分数低阶相关矩阵(Fractional Low Order Covariance,FLOC),并进行修正以解相干。再对修正后的各低阶矩进行特征值分解并提取噪声特征矩阵,列多项式求根。最后取算术平均,可得相干宽带信源的DOA估计。通过计算机仿真,改进的ISM算法在脉冲噪声下可处理相干宽带信源的DOA估计,且稳健性较好。展开更多
Using a low coherence interferometry （LCI） model, a comparison of broadband single-Gaussian and multi-Gaussian light sources has been undertaken. For single-Gaussian sources, the axial resolution improves with the s...Using a low coherence interferometry （LCI） model, a comparison of broadband single-Gaussian and multi-Gaussian light sources has been undertaken. For single-Gaussian sources, the axial resolution improves with the source bandwidth, confirming the coherence length relation that the resolution for single Gaussian sources improves with increasing spectral bandwidth. However, narrow bandwidth light sources result in interferograms with overlapping strata peaks and the loss of individual strata information. For multiple-Gaussian sources with the same bandwidth, spectral side lobes increase, reducing A-scan reliability to show accurate layer information without eliminating the side lobes. The simulations show the conditions needed for the resolution of strata information for broadband light sources using both single and multiple Gaussian models. The potential to use the model to study optical coherence tomography （OCT） light sources including super luminescent diodes （SLDs）, as reviewed in this paper, as well as optical delay lines and sample structures could better characterize these LCI and OCT elements. Forecasting misinformation in the interferogram may allow preliminary corrections. With improvement to the LCI-OCT model, more applications are envisaged.展开更多
文摘由于无网格(grid-less)稀疏重构方法的波达方向(direction of arrival,DOA)估计数学模型为单快拍形式,因此该方法只有在噪声电平趋近于零时才具有优越的性能.为了提高grid-less方法在信噪比(signal-to-noise ratio,SNR)较低时宽带相干信源的估计性能,提出了一种多快拍grid-less DOA估计方法.首先,对多快拍阵列观测矢量实施奇异值分解(singular value decomposition,SVD)获得观测矩阵的时域信号子空间,通过观测矩阵到时域信号子空间的投影实现观测矩阵的降噪;然后,为了不增加多快拍计算复杂度,将降噪后观测矩阵的列向量加权累加处理得到单快拍形式;最后,从理论上证明了本文提出的GL-SVD方法求解的模型是凸的,能够实现宽带信号DOA的精确重构.仿真结果表明,该方法在低SNR以及宽带相干信源情况下的估计精度都高于L 1范数最小化奇异值分解(L 1-norm minimum singular value decomposition,L 1-SVD)和离格稀疏贝叶斯推断奇异值分解(off-grid sparse Bayesian inference singular value decomposition,OGSBI-SVD),且在较小角度间隔的情况下具有更高的估计概率和分辨率.
文摘非相干信号子空间方法(Incoherent Signal Subspace Method,ISM)无法处理相干宽带信源且运算量较大,在脉冲噪声下,由于二阶相关矩阵无法收敛,基于ISM算法的波达方向(Direction of Arrival,DOA)估计也将失去韧性,为此对ISM算法进行了改进。首先将等间距线阵输出矩阵在频域进行分解,根据各频率分量对应的归一化功率设置门限值,对大于门限的频率分量构建分数低阶相关矩阵(Fractional Low Order Covariance,FLOC),并进行修正以解相干。再对修正后的各低阶矩进行特征值分解并提取噪声特征矩阵,列多项式求根。最后取算术平均,可得相干宽带信源的DOA估计。通过计算机仿真,改进的ISM算法在脉冲噪声下可处理相干宽带信源的DOA估计,且稳健性较好。
文摘Using a low coherence interferometry （LCI） model, a comparison of broadband single-Gaussian and multi-Gaussian light sources has been undertaken. For single-Gaussian sources, the axial resolution improves with the source bandwidth, confirming the coherence length relation that the resolution for single Gaussian sources improves with increasing spectral bandwidth. However, narrow bandwidth light sources result in interferograms with overlapping strata peaks and the loss of individual strata information. For multiple-Gaussian sources with the same bandwidth, spectral side lobes increase, reducing A-scan reliability to show accurate layer information without eliminating the side lobes. The simulations show the conditions needed for the resolution of strata information for broadband light sources using both single and multiple Gaussian models. The potential to use the model to study optical coherence tomography （OCT） light sources including super luminescent diodes （SLDs）, as reviewed in this paper, as well as optical delay lines and sample structures could better characterize these LCI and OCT elements. Forecasting misinformation in the interferogram may allow preliminary corrections. With improvement to the LCI-OCT model, more applications are envisaged.
