时频联合分布算法中核函数的改进

分析了时频联合分布算法中核函数的作用。针对现有算法中存在的问题,提出了用简化的霍夫变换在θ-τ平面提取信号自项成分,生成一个随输入信号变化的核函数的新算法,从而把信号自项与交叉项的分离问题转化为二值图像中过定点的直线检测问题。仿真结果表明,该方法克服了现有算法的不足,在保持信号自项的幅值正确计算的前提下,很好地衰减了交叉项。

Improvement on Kernel Used in Joint Time-frequency Distribution

in this paper, a new algorithm is presented to decrease the cross-terms in the Wigner distribution resulted from the bilinear character The separation between auto-term and cross-term is performed by using Hough transform, forming a dynamic kernel varying as signal changes. By using such a kernel, energy of the detected signal can be retained at quite a high level, thus the final time-frequency distribution can reflect the energy distribution of original signals, which is irregular in traditional Choi-Williams distribution or its improved form. Experimental results prove the effectiveness of new algorithm.