Legal Signal Processing

J. Chen
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Abstract

It makes far more economic sense to prepare for disaster in advance than it does to stage heroic relief efforts after calamity strikes. For reasons rooted in politics and emotion, the law does exactly the opposite. Ad hoc relief, as expensive as it is spontaneous, dominates disaster law and policy.The President’s unilateral power to declare a federal disaster under the Stafford Act invites political manipulation. To test whether presidential disaster declarations track the four-year presidential electoral cycle, this paper devises a generalized polynomial and multi-sinusoidal model for detecting cyclical patterns. This model draws heavily upon Fourier analysis and digital signal processing.Presidential disaster declarations since 1953 reveal not one but two forms of periodicity. As expected, a “short wave” of four years shows how disaster declarations track the presidential election cycle. The effect is most pronounced not in election years (when declarations do spike), but in years immediately following a presidential election (when declarations dramatically plummet). Even more surprisingly, the record suggests that presidential disaster declarations also follow a “long wave,” whose frequency appears to be 44 years.
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提前为灾难做好准备,远比在灾难发生后进行英勇的救援工作更有经济意义。由于根植于政治和情感的原因,法律的做法恰恰相反。临时救助费用高昂,但却是自发的,它主导着灾害法律和政策。根据《斯塔福德法案》,总统单方面宣布联邦灾难的权力会招致政治操纵。为了测试总统灾难声明是否跟踪四年总统选举周期,本文设计了一个广义多项式和多正弦模型来检测周期模式。该模型在很大程度上依赖于傅里叶分析和数字信号处理。自1953年以来,总统的灾难声明显示出不是一种而是两种形式的周期性。不出所料,四年的“短波”表明,灾难声明是如何跟随总统选举周期的。影响最明显的不是在选举年(当声明确实激增时),而是在总统选举之后的几年(当声明急剧下降时)。更令人惊讶的是,记录显示,总统的灾难声明也遵循“长波”,其频率似乎是44年。
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