Elimination of interference terms of the discrete Wigner distribution using nonlinear filtering
Elimination of interference terms of the discrete Wigner distribution using nonlinear filtering
复制标题
DOI：
10.1109/78.852013
复制
发表时间：
2000-08
期刊：
影响因子：
--
通讯作者：
G. Arce;Syed Rashid Hasan
中科院分区：
文献类型：
--
作者：
G. Arce;Syed Rashid Hasan
在维格纳分布（WD）中减小干扰的方法传统上依赖于线性滤波。本文介绍了一种新的非线性滤波方法，用于去除离散WD中的交叉项。考虑到线性平滑核不能在不影响自动项的时频集中和分辨率的情况下完全消除交叉项，设计了一种非线性滤波算法，其中滤波器自动适应WD平面的快速变化性质。从一个极端的恒等运算到另一个极端的低通线性滤波器，改变滤波器的行为，实现了交叉项的近最佳去除。与传统的平滑和最优核设计技术不同，该算法不会降低自动项的时频分辨率和集中度，并且对非常多的信号表现同样良好。
Methods for interference reduction in the Wigner distribution (WD) have traditionally relied on linear filtering. This paper introduces a new nonlinear filtering approach for the removal of cross terms in the discrete WD. Realizing that linear smoothing kernels are unable to completely cancel the cross-terms without compromising time-frequency concentration and resolution of the auto-terms, a nonlinear filtering algorithm is devised where the filter automatically adapts to the rapidly changing nature of the WD plane. Varying the filter behavior from an identity operation at one extreme to a lowpass linear filter at the other, a near-optimal removal of cross terms is achieved. Unlike traditional smoothing and optimal kernel design techniques, this algorithm does not reduce the time-frequency resolution and concentration of the auto-terms and performs equally well for a very large variety of signals.