Independent Vector Analysis Convolutive Blind Separation Algorithm Based on Step-size Adaptive
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摘要: 独立向量分析(IVA)是解决频域卷积盲分离排序模糊性最好的方法之一，但存在迭代次数较多、运算时间较长、分离效果易受分离矩阵初值影响的局限性。该文提出一种基于步长自适应的IVA卷积盲分离算法，该算法使用特征矩阵联合近似对角化(JADE)算法对分离矩阵进行初始化，并对步长参数进行了自适应优化。JADE初始化能够使分离矩阵具有合理的初值，避免局部收敛的情况；步长的自适应优化能够显著提升算法的收敛速度。仿真结果表明，该算法进一步提升了分离性能，并显著缩短了运算时间。
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关键词:
- 盲源分离 /
- 卷积混合 /
- 独立向量分析 /
- 特征矩阵联合近似对角化 /
- 步长自适应
Abstract: Independent Vector Analysis (IVA) is one of the best methods to solve the sort ambiguity of convolutive blind separation in frequency domain. However, it needs more iterations and computing time, and the separation effect is susceptible to the initial value of the separation matrix. This paper proposes an IVA convolutive blind separation algorithm based on step-size adaptive, which uses Joint Approximative Diagonalization of Eigenmatrices (JADE) algorithm to initialize the separation matrix and optimizes adaptively the step step-size parameters. JADE initialization can make the separation matrix have an appropriate initial value, thus avoiding the situation of local convergence; step-size adaptive optimization can significantly improve the convergence speed of the algorithm. Simulation results show that this algorithm improves the separation performance and shortens the operation time significantly. -
表 1 基于步长自适应的IVA卷积盲分离算法
步骤1 将时域卷积混合信号经STFT 转换为各个频率点的线性
瞬时混合复值信号；步骤2 对各频率点的混合信号进行中心化和白化预处理； 步骤3 使用JADE算法初始化各频点的分离矩阵 ${{{W}}_0}\left( \omega \right)$，并初
始化迭代步长 ${\eta _0}$；步骤4 根据 ${{Y}}\left( \omega \right){{ = W}}\left( \omega \right){{X}}\left( \omega \right)$来估计各频点的源信号； 步骤5 根据估计出的源信号来计算目标函数和非线性函数，并
判断分离矩阵是否收敛。若收敛，执行步骤9；步骤6 根据式(14)来更新各频点分离矩阵； 步骤7 根据式(25)来更新迭代步长； 步骤8 若达到最大迭代次数，输出最终各频点分离信号，否则
返回步骤4；步骤9 将各频点分离信号经ISTFT恢复成时域分离信号，即
源信号估计。
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表 4 算法迭代次数和运行时间对比(次数/s)
算法 5阶混合 20阶混合 模拟室内混合 IVA 114/3.17 167/5.80 658/33.68 JS-IVA 62/1.78 89/3.41 174/10.98
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