联合阶数统计技术在非平稳信号中的离散频率跟踪

A. Makarov
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引用次数: 2

摘要

在这种通信中,我们提出了一种检测叠加在噪声和可能不连续趋势上的周期性的方法。在实际中,每当信号的基线容易受到不可预测的变化时,就会遇到这个问题。对叠加在大趋势上的周期性的离散频率估计是通过计算信号的极值来完成的。该方法的鲁棒性是通过观察信号的一对阶统计量(一个联合阶统计量包络)的变化来提供的。这些变化的符号同时变化对应于极值。我们展示了在极端情况下,这个尚未解决的问题如何被简化为一个已知且已解决的消除平滑趋势的问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Discrete frequency tracking in nonstationary signals using joint order statistics technique
In this communication we present a method for detecting periodicities which are superimposed on noisy and possibly discontinuous trends. This problem is encountered in practice whenever the baseline of the signal is susceptible of unpredictable variations. The discrete frequency estimate of periodicities superimposed on large trends is done by counting the extrema of the signal. The robustness of the method is provided by observing the variations of a pair of order statistics (a joint order statistic envelope) of the signal. The simultaneous change of sign of these variations correspond to extrema. We show how this yet unresolved problem can be, in extremis, reduced to a known and resolved problem of the removal of smooth trends.
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