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On the Relation between Fourier Frequency and Period for Discrete Signals, and Series of Discrete Periodic Complex Exponentials
2021
IEEE Open Journal of Signal Processing
Discrete complex exponentials are almost periodic signals, not always periodic; when periodic, the frequency determines the period, but not viceversa, the period being a chaotic function of the frequency, expressible in terms of Thomae's function. The absolute value of the frequency is an increasing function of the subadditive functional of average variation. For discrete signals that are either sums or series of periodic complex exponentials, the decomposition into their periodic, additive
doi:10.1109/ojsp.2021.3064760
fatcat:gm3la3wuxndudblfwn5jfe6ehe