Time–Frequency Analysis in Rn
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2021-02
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Language
en
Pages
38
Series
Journal of Fourier Analysis and Applications, Volume 28, issue 1, pp. 1-38
Abstract
A time–frequency transform is a sesquilinear mapping from a suitable family of test functions to functions on the time–frequency plane. The goal is to quantify the energy present in the signal at any given time and frequency. The transform is further specified by imposing conditions such as those stemming from basic transformations of signals and those which an energy density should satisfy. We present a systematic study on how properties of a time–frequency transform are reflected in the associated evaluation at time–frequency origin, integral kernel and quantization and discuss some examples of time–frequency transforms.Description
Funding Information: Vesa Vuojamo is supported by the Vilho, Yrjö and Kalle Väisälä Foundation of the Finnish Academy of Science and Letters. Publisher Copyright: © 2021, The Author(s).
Keywords
Cohen class, Quadratic time–frequency transforms, Time–frequency analysis
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Citation
Vuojamo, V, Turunen, V & Orelma, H 2021, ' Time–Frequency Analysis in R n ', Journal of Fourier Analysis and Applications, vol. 28, no. 1, 6, pp. 1-38 . https://doi.org/10.1007/s00041-021-09894-3