Critical Analysis of Uncertainty Relations Based on Signal Duration and Spectrum Width

A. Udal, V. Kukk, E. Velmre

Abstract


An essential problem of signal processing – uncertainty relations based on signal duration and spectrum width are discussed. An explanation is offered why the signal processing community has nearly forgotten the Fourier Uncertainty Principle that is totally analogous to famous coordinate-momentum Heisenberg's Uncertainty Principle. The noticeable achievements by A.A. Kharkevich from 1960-ies are critically analysed. Paper reaches to conclusion that one practically usable uncertainty relation may be defined for train of pulses type tasks. For this kind of tasks an universal uncertainty relation connecting signal duration and spectrum peak width for every harmonic is formulated. Ill. 3, bibl. 9 (in English; summaries in English, Russian and Lithuanian)..


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Print ISSN: 1392-1215
Online ISSN: 2029-5731