Pirmdien, 14. oktobrī, plkst. 15.00 Zinātņu mājas 801/802. auditorijā notiks Diferenciālvienādojumu un tuvināto metožu katedras zinātniskais seminārs, kurā uzstāsies Ālto universitātes pasniedzējs, zinātņu doktors Ville Turunen (Department of Mathematics and Systems Analysis, Aalto University, Finland) ar referātu Time-frequency transforms, with applications.

Abstract:

Time-frequency analysis can be described as Fourier analysis simultaneously both in time and in frequency. Its origins are in quantum mechanics, in signal processing, and in pseudo-differential operators. A time-frequency transform is a translation-modulation-invariant sesquilinear mapping from test functions in time to functions in time-frequency plane. The class of time-frequency distributions is further restricted by imposing extra conditions, trying to capture the idea what an idealized energy density could satisfy. Sharp time-frequency resolution would allow sharp operations on signals. Spectrograms are widely used examples of time-frequency distributions, but they have always bad time-frequency resolution; however, spectrograms can be replaced by sharp methods. We describe the time-frequency analysis for both analog and digital signals, in both non-periodic and periodic cases. The involved Fourier integral formulas are naturally discretized, and computed fast with Matlab. Real-life examples will be demonstrated.

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(Interesenti piedalīties attālināti aicināti pieteikties semināram līdz 11. oktobrim, rakstot ziņu uz e-pastu sergejs.smirnovs@lu.lv.)

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