Abstract In this paper we present the matched window reassignment method, generalizing the results to complex valued signals in multiple dimensions. For an oscillating transient signal with an envelope shape described by an arbitrary twice differentiable function, the reassigned spectrogram, with a matched window, concentrates all energy into one single time-frequency point. An estimator for the parameters of the envelope, in multiple dimensions, is constructed using the above property where the concentration is measured using the Renyi entropy. Furthermore, we present a classification scheme, where an observation is classified based on the concentration when reassigning with a set of model functions. Finally, two examples of parameter estimation from real-world measurements are shown, a one-dimensional time series of a single dolphin click and a two-dimensional time-series of seismology data.

中文翻译：

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使用匹配窗口重新分配的振荡瞬态函数的时频移不变参数估计器

摘要 在本文中，我们提出了匹配窗口重新分配方法，将结果推广到多维复值信号。对于具有由任意二次可微函数描述的包络形状的振荡瞬态信号，重新分配的频谱图具有匹配的窗口，将所有能量集中到一个单一的时频点。使用上述属性构建多维信封参数的估计量，其中使用 Renyi 熵测量浓度。此外，我们提出了一种分类方案，其中在重新分配一组模型函数时，根据浓度对观察进行分类。最后，显示了根据实际测量值估计参数的两个示例，