基于时频分析的去除魏格纳交叉干扰项的方法

Simulation of Method to Eliminate Cross-Term in Wigner Distribution Based on Matching Pursuits in Time-Frequency Domain

基于对魏格纳交叉项和Matching Pursuits时频分解算法,提出了一种利用二次型标准化原理去除交叉项的仿二次型标准化魏格纳方法,并在实数域中论证了此方法的可行性.结果表明这种方法在去除交叉干扰项的应用中明显优于传统魏格纳变换,在实验中可以得出此方法和MatchingPursuits匹配追踪算法相比能达到同样效果的结论,即亦能完全去除交叉项干扰,变换时间复杂度在理论上和实验调试中远远小于匹配追踪算法,适用范围更加广泛.

With the study of the cross-term in Wigner Distribution,a new method to eliminate the cross-term which called the Standardization of the Pseudo Quadratic Form（SPQF）is presented.The method will be proved in the real number field.The new method is better than Wigner Distribution to eliminate the cross-term in the simulation.And it has similar or identical effects as Matching pursuits algorithm,the cross-term can be eliminated completely.Its running time is shorter than that the MP algorithm.The results show that this method is accurate,generalled,easy-of-use,it is suitable in engineering applications.