一种魏格纳-威利分布交叉项剔除新算法

摘要

为抑制魏格纳-威利分布分析多分量信号时交叉项的干扰,提出了一种交叉项剔除新算法,该方法通过分析多分量信号及跳频信号的魏格纳-威利分布交叉项特性,得出其交叉项数目和频率的一般规律,然后采用带通滤波器对时频分布结果中交叉项进行滤除.理论分析和仿真验证表明,该算法可以有效剔除多分量信号魏格纳-威利分布中的交叉项干扰,且具有优异的时频聚集性.%To remove the cross-term emerged by Wigner-Ville distributions when analyzing multi-component signals, a new algorithm of removing the cross-term was presented. By analyzing the feature of the cross-term in Wigner-Ville distributions of multi-component signals and frequency-hopping signals, the general rules were obtained about the number and the frequency of the cross-term. Then the cross-term were filtered out from the result of Wigner-Ville distributions by band-pass filters. Theoretical derivation and simulation result shows that the method can effectively remove the cross-term interference in the Wigner-Ville distribution of multi-component signal. It also has excellent time-frequency concentration.