关键词: Fast独立分量分析（ICA）, 牛顿法, 弦截法, 最速下降法, 负熵

Abstract: Independent Component Analysis（ICA） is the blind source separation algorithm which is one of the most commonly used methods. And the Fast Independent Component Analysis（FastICA） with its convergence speed is widely used. But FastICA is sensitive to the choice of initial value, and in the use of Newton iterative method, each iteration step is needed to calculate a function value and a derivative value. When the function is more complex, computing its derivatives is often not convenient. This paper uses the single point string section method to iterate. Combining the steepest descent method with the single point string section method, while ensuring the separation effect, it makes FastICA iterative times reduce. At the same time it makes the calculation type more concise, and reduces the sensitivity to the initial value.

Key words: Fast Independent Component Analysis（ICA）, Newton method, string section method, the steepest descent method, negative entropy