Abstract: One-unit ICA-R is an efficient method utilizing prior information to extract an expected source signal. A fixed-point algorithm for one-unit ICA-R is proposed when absolute value of kurtosis is considered as contrast function in this paper. The algorithm avoids the second derivative of contrast function and simpilifies operation accordingly. The fixed-point algorithm can converge faster than Newton fast algorithm based on kurtosis. At last, computer simulations verify the validity of the proposed algorithm.

Key words: kurtosis, fixed-point algorithm, component analysis with reference

摘要： 一单元参考独立成分分析是一种有效的利用先验信息抽取一个期望源信号的方法。以峭度的绝对值为对比函数推导出一种一单元ICA-R固定点算法，该算法避免了对比函数二阶导数的计算，简化了运算复杂度，比基于峭度的牛顿快速算法有更快的收敛速度。通过计算机模拟实验验证了算法的有效性。

关键词: 峭度, 固定点算法, 参考独立成分分析