Determination of Gabor wavelet shaping factor for accurate phase retrieval with wavelet-transform

Вейвлет Корреляции Нестационарных Сигналов

“…Еще одним применением разрабатываемой в насто-ящей работе методики может стать изучение корре-ляционных свойств сигналов, получаемых с помощью фемтосекундных лазеров [50,51]. Нестационарность ин-терференционных процессов для ультракоротких источ-ников излучения, имеющих различные пространственно-частотные характеристики с сильно изменяющейся ам-плитудой во времени, требует новых подходов к расчету корреляции таких сигналов.…”

Wavelet Transforms in Dynamic Atomic Force Spectroscopy

“…A single dimensionless parameter called the Gabor shaping factor G S = ση controls the time-frequency localization properties of the Gabor mother wavelet (Deng et al, 2005). An increase of G S means more oscillations under the wavelet envelope and a larger time spread, the frequency resolution being improved and the time resolution decreased, see Fig.…”

Automatic Phase Compensation for Extremely Short Optical-Pulse Generation Using Wavelet Transform

“…In addition, the WT analysis has additional advantages of fewer reconstruction processes, no uncertainty in phase retrieval, and usually higher accuracy [9] compared with the FT analysis. The WT converts the one-dimensional (1-D) frequency signal, the M-SPIDER signal , into the two-dimensional (2-D) time -frequency topography .…”

“…On the other hand, in 2004, it was demonstrated that a novel analysis for extracting the spectral phase from the SPIDER signal, based on wavelet transform (WT), provides an alter- native method for phase retrieval [8], [9]. The purpose of this paper is to show that the use of the WT analysis (instead of the FT analysis) enables us to compensate for the phase automatically in the FB mode without any manual decision, even for pulses with an ultrabroadband, a complicated spectral phase, and/or a structured intensity spectrum.…”