RADIO PHYSICS AND RADIO ASTRONOMY

Using the Choi-Williams transform, belonging to the Cohen’s class of non-linear transforms, the time-frequency analysis of the model signals with peculiarities, was made. The models of the Dirac δ-function and its first derivation, their sum with harmonic signal, the limited duration pulse, the sharp changes of amplitude, phase and frequency, the break, the vertical bend, the spire as well as the sum of the spire and the harmonic signalwere studied. The results of сhoi-williams-, wigner- and fourieranalysis were compared. The mentioned transforms were shown to well supplement each other and allow finding more information about time-frequency structure of the signals investigated when they are used together.

Key words: time-frequency analysis, non-linear integral transform, signal with peculiarities

Manuscript submitted 04.06.2015

Radio phys. radio astron. 2015, 20(3): 223-237

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