ABSTRACT Inspired by the idea of the iterative time–frequency peak filtering, which applies time–frequency peak filtering several times to improve the ability of random noise reduction, this article proposes a new cascading filter implemented using mathematic morphological filtering and the time–frequency peak filtering, which we call here morphological time–frequency peak filtering for convenience. This new method will be used mainly for seismic signal enhancement and random noise reduction in which the advantages of the morphological algorithm in processing nonlinear signals and the time–frequency peak filtering in processing nonstationary signals are utilized. Structurally, the scheme of the proposed method adopts mathematic morphological operation to first preprocess the signal and then applies the time–frequency peak filtering method to ultimately extract the valid signal. Through experiments on synthetic seismic signals and field seismic data, this paper demonstrates that the morphological time–frequency peak filtering method is superior to the time–frequency peak filtering method and its iterative form in terms of valid signal enhancement and random noise reduction.

中文翻译：

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使用形态滤波和时频峰值滤波实现的级联滤波器在地震信号增强中的应用

摘要 受迭代时频峰值滤波思想的启发，通过多次应用时频峰值滤波来提高随机降噪能力，本文提出了一种利用数学形态学滤波和时频峰值滤波实现的级联滤波器。滤波，为了方便起见，我们称之为形态时频峰值滤波。这种新方法将主要用于地震信号增强和随机降噪，利用形态学算法处理非线性信号和时频峰值滤波处理非平稳信号的优点。在结构上，所提方法的方案采用数学形态学运算对信号进行预处理，然后应用时频峰值滤波方法最终提取出有效信号。通过对合成地震信号和现场地震数据的实验，本文证明形态学时频峰值滤波方法在有效信号增强和随机降噪方面优于时频峰值滤波方法及其迭代形式。