习题解答

arXiv: Algebraic Topology Pub Date : 2022-01-01 DOI:10.1142/9789811248368_0009

P. Nguyen

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摘要

注意，傅里叶变换只能在输入可平方和(有限能量)的情况下计算。切线不是这样的。切线没有最大值或最小值。以下是一些可能有用的特征:•零的数量(它穿过零的次数)•在不同时间尺度上的平均值•一些周期性的度量(例如LP系数，如果你熟悉它们)

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Solution of the exercises

1 Find the trigonometric functions Note that the Fourier transform can only be computed when the input is squaresummable (finite energy). This is not the case with the tangent. The tangent does not have a maximum or a minimum. Here are some ideas of features which may be useful: • Number of zeros (of times it crosses zero) • Average at different time scales • Some measure of periodicity (e.g. LP coefficients if you are familiar with them)

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arXiv: Algebraic Topology

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