拟合FFT导出的光谱：理论、工具和在太阳射电尖峰分解中的应用
Fitting FFT-derived Spectra: Theory, Tool, and Application to Solar Radio Spike Decomposition
摘要：
从时域数据的快速傅里叶变换（FFT）分析导出的光谱本质上包含统计波动，其分布取决于对测量有贡献的累积光谱的数量。该分布的尾部对于从统计波动中分离真实信号是必不可少的，对于有限数量的累积，该尾部明显偏离正态分布。在本文中，我们开发了一个理论，以适当的统计波动时，拟合一个模型，以一个给定的积累频谱。该方法在软件中实现，用于自动拟合大量这样的FFT衍生光谱的目的。我们应用这个工具来分析我们的FST仪器记录在一个破纪录的事件，发生在2006年12月6日的尖峰密集集群的一部分。简要讨论了这一分析的结果。
英文摘要：
Spectra derived from fast Fourier transform (FFT) analysis of time-domain data intrinsically contain statistical fluctuations whose distribution depends on the number of accumulated spectra contributing to a measurement. The tail of this distribution, which is essential for separation of the true signal from the statistical fluctuations, deviates noticeably from the normal distribution for a finite number of the accumulations. In this paper we develop a theory to properly account for the statistical fluctuations when fitting a model to a given accumulated spectrum. The method is implemented in software for the purpose of automatically fitting a large body of such FFT-derived spectra. We apply this tool to analyze a portion of a dense cluster of spikes recorded by our FST instrument during a record-breaking event that occurred on 06 Dec 2006. The outcome of this analysis is briefly discussed.
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