在使用S变换的掩盖维格纳-维尔分布中研究和评估交叉缩减
Nattapol Aunsri1,2, Prasara Jakkaew1, Chanin Kuptametee1
1School of Applied Digital Technology, Mae Fah Luang University, Chiang Rai, Thailand.
PloS one
|November 6, 2024
概括
本研究探讨了减少时间频率信号分析中的干扰. 通过将维格纳-维尔分布 (WVD) 与修改的S变换 (ST) 结合起来,研究人员在非静止信号中实现了更好的交叉缩减.
科学领域:
- 信号处理 信号处理
- 时间频率分析
背景情况:
- 非线性和非静止信号需要时间频率 (TF) 域分析以获得清晰度.
- 维格纳-维尔分布 (WVD) 提供高TF分辨率,但由于其双线性,因此遭受交叉术语的困扰.
- 蒙面WVD和S转换 (ST) 是缓解这些问题的方法.
研究的目的:
- 为了研究WVD掩盖使用原始和修改的S变换 (ST) 进行交叉缩减的有效性.
- 评估将额外参数集成到ST中的影响,以提高分辨率和跨期缓解.
主要方法:
- 该研究使用了WVD掩盖技术,该技术将WVD的时间频率表示 (TFR) 乘以另一种方法的TFR.
- 标准和修改的S变换 (ST) 结合了短时间里埃变换 (STFT) 和波形变换 (WT) 的优势,用于掩盖.
- 在ST中集成了额外的参数,以提高其分辨率.
主要成果:
- 与使用原始ST相比,使用修改后的ST进行WVD掩盖表明,与使用原始ST相比,跨期减少有所改善.
- 将额外的参数集成到ST中,导致信号分辨率提高.
- 修改ST中的优化参数导致WVD掩盖框架内更令人满意的交叉期减少.
结论:
- 用修改的S变换掩盖Wigner-Ville分布,为减少非静止信号分析中的交叉术语提供了一个有希望的方法.
- 精心优化参数在S-变换是最大限度地利用它的好处与WVD掩饰结合至关重要的.
- 专家用户知识对于在特定应用领域有效调整这些参数至关重要.
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