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- W2364678610 abstract "This paper studies spectrum characteristics of the Hilbert transformation bythe properties of the Fourier transformation. In frequency domain,real part and imaginary part of a causal signal spectrum are the Hilbert transformation each other. A signal and its Hilbert transform can constitute a analytical signal,the real partof the analytical signal is the original signal,the imaginary part is the Hilbert transformation of the original signal; The Fourier spectrum of analytical signal contains only the positive frequencypart,which isjust two times of the original signal,and the analytic signal amplitude and phase will represent the original signal amplitude envelope and instantaneous frequency variation characteristics,so the instantaneous frequency and instantaneous amplitude have clear physical meaning,which is very important to study nonlinear unsteady signal." @default.
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- W2364678610 date "2015-01-01" @default.
- W2364678610 modified "2023-09-25" @default.
- W2364678610 title "The application of the properties of Fourier transform in instantaneous frequency structure" @default.
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