CAJ | 학술논문

信源数目的估计是欠定盲源分离的前提条件，为了提高混合信号分离的准确性，提出一种Hough加窗法。利用Hough变换的思想将观测信号转变为角度变量，对变换域中的角度直方图进行加窗获得变换量的聚类区域，其峰值数即为信号源的数目。在此基础上，通过寻找变换量与混合矩阵列向量的关系可得到混合矩阵的估计值。提出一种无约束分离算法，由内点法从散点图分布中选取合适的初始迭代值，通过梯度下降法实现信号的分离。仿真实验结果表明， Hough加窗法具有较高的估计精度、较强的抗噪声性以及较低的稀疏敏感性，无约束分离算法具有较好的分离效果。
신원수목적고계시흠정맹원분리적전제조건，위료제고혼합신호분리적준학성，제출일충Hough가창법。이용Hough변환적사상장관측신호전변위각도변량，대변환역중적각도직방도진행가창획득변환량적취류구역，기봉치수즉위신호원적수목。재차기출상，통과심조변환량여혼합구진렬향량적관계가득도혼합구진적고계치。제출일충무약속분리산법，유내점법종산점도분포중선취합괄적초시질대치，통과제도하강법실현신호적분리。방진실험결과표명， Hough가창법구유교고적고계정도、교강적항조성성이급교저적희소민감성，무약속분리산법구유교호적분리효과。
The source number estimation is the prerequisite for underdetermined blind separation. In order to im?prove the accuracy of the mixed signal separation, a new Hough?windowed algorithm is proposed in this study. First, the algorithm transforms the observed signals into angular variables based on Hough transformation. The clus?ter area is obtained by windowing the histogram of angular variables in the transform domain. The peak value is the number of sources. Next, the mixture matrix is obtained through analyzing the relationship between the maxima in each cluster area and the column vector of the mixture matrix. Finally, an unconstrained separation algorithm is presented. The interior point method enables the acquisition of the initial value and the gradient descent method separates the signals. The simulation results showed that the Hough windowing method demonstrates higher estima?tion accuracy, stronger noise resistance ability, and lower sensitivity to sparse as well. In conclusion, the uncon?strained separation algorithm has better separation effect.